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

Time bar (total: 9.8s)

analyze0.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
100%50%0%0.1%0%50%0%2
Compiler

Compiled 16 to 14 computations (12.5% saved)

sample1.1s (10.8%)

Memory
17.3MiB live, 1 652.6MiB allocated
Samples
724.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 486.0ms
ival-div: 163.0ms (33.6% of total)
ival-mult: 123.0ms (25.3% of total)
ival-sub: 119.0ms (24.5% of total)
ival-sqrt: 62.0ms (12.8% of total)
exact: 11.0ms (2.3% of total)
ival-true: 6.0ms (1.2% of total)
ival-assert: 3.0ms (0.6% of total)
Bogosity

preprocess143.0ms (1.5%)

Memory
-19.1MiB live, 101.8MiB allocated
Algorithm
1×egg-herbie
Rules
736×lower-fma.f64
736×lower-fma.f32
560×times-frac
400×lower-*.f32
396×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03078
18064
223762
365062
4148862
5286762
6347962
7359062
8362262
9362662
10362662
11363062
01214
01914
13312
27112
314712
427012
550712
6100512
7127112
8136212
9137612
10137912
0137911
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))

explain132.0ms (1.3%)

Memory
-1.4MiB live, 296.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
00-0-(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
00-0-(sqrt.f64 x)
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
43.0ms512×0valid
Compiler

Compiled 128 to 52 computations (59.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 8.0ms (32.1% of total)
ival-div: 7.0ms (28.1% of total)
ival-sub: 4.0ms (16% of total)
ival-sqrt: 4.0ms (16% of total)
exact: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Compiler

Compiled 16 to 12 computations (25% saved)

simplify49.0ms (0.5%)

Memory
11.4MiB live, 50.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 x #s(literal 9 binary64))
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
✓cost-diff128
(-.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-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Rules
736×lower-fma.f64
736×lower-fma.f32
400×lower-*.f32
396×lower-*.f64
186×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
01946
13340
27140
314740
427040
550740
6100540
7127140
8136240
9137640
10137940
0137939
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
#s(literal 3 binary64)
(sqrt.f64 x)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(-.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))
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)

localize35.0ms (0.4%)

Memory
-1.7MiB live, 74.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
Samples
21.0ms256×0valid
Compiler

Compiled 48 to 14 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 3.0ms (24.5% of total)
ival-sub: 3.0ms (24.5% of total)
ival-mult: 3.0ms (24.5% of total)
ival-sqrt: 2.0ms (16.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-20.7MiB live, 19.5MiB allocated
Counts
7 → 108
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))>
#<alt (-.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))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64))))>
#<alt (*.f64 x #s(literal 9 binary64))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))>
#<alt (sqrt.f64 x)>
Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 9 x)>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
Calls

27 calls:

TimeVariablePointExpression
4.0ms
y
@0
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
2.0ms
y
@inf
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
1.0ms
x
@0
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
1.0ms
x
@-inf
(- (- 1 (/ 1 (* x 9))) (/ y (* 3 (sqrt x))))
1.0ms
x
@-inf
(* 3 (sqrt x))

rewrite357.0ms (3.6%)

Memory
28.0MiB live, 579.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 268×lower-fma.f64
8 268×lower-fma.f32
5 066×lower-*.f32
5 062×lower-*.f64
4 670×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01241
01941
17435
278935
0836634
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 437
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)))
(sqrt.f64 x)
Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal 9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) #s(literal -9 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) (sqrt.f64 x))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x (*.f64 x #s(literal 81 binary64))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 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 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))) (neg.f64 (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))) (*.f64 x (*.f64 #s(literal 27 binary64) (sqrt.f64 x)))))))
(+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) #s(literal 1/9 binary64)) (*.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) x))))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
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(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -9 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 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 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
(*.f64 #s(literal 9 binary64) x)
(*.f64 #s(literal 9 binary64) (neg.f64 (neg.f64 x)))
(*.f64 #s(literal 9 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(*.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (*.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal -3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 x) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 x #s(literal -9 binary64)))
(*.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 #s(literal -3 binary64) (*.f64 x #s(literal -3 binary64)))
(*.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -3 binary64))
(*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 #s(literal -9 binary64) (neg.f64 x))
(*.f64 #s(literal -9 binary64) (/.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) #s(literal -9 binary64))
(*.f64 (neg.f64 (neg.f64 x)) #s(literal 9 binary64))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) #s(literal 9 binary64))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 3 binary64)) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -3 binary64)) (sqrt.f64 x))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 (*.f64 (*.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) x)) #s(literal -9 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.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 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(neg.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(neg.f64 (*.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (/.f64 y (sqrt.f64 x))))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) (/.f64 (sqrt.f64 x) y)))
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 3 binary64) y))
(/.f64 #s(literal 1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 (/.f64 y (sqrt.f64 x)) #s(literal 3 binary64))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (/.f64 (neg.f64 y) (sqrt.f64 x)) #s(literal -3 binary64))
(/.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 3 binary64))
(/.f64 (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -3 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x))) #s(literal 3 binary64))
(/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 3 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal -1/3 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) y) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
(sqrt.f64 x)
(pow.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 (exp.f64 (log.f64 x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))

simplify208.0ms (2.1%)

Memory
-4.8MiB live, 307.8MiB allocated
Algorithm
1×egg-herbie
Rules
6 808×lower-fma.f64
6 808×lower-fma.f32
2 892×lower-*.f64
2 892×lower-*.f32
1 398×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056684
1134684
2323683
3820683
42379683
55023683
66534683
08135662
Stop Event
1×iter limit
1×node limit
Counts
108 → 108
Calls
Call 1
Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) 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)) (* 1/9 (/ 1 x))))
(- 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))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 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)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -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 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 9 x)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(+.f64 (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) #s(literal 1 binary64))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.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)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.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)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -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)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -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)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -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)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/ (- x 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 9 x)
(*.f64 x #s(literal 9 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

eval67.0ms (0.7%)

Memory
-0.2MiB live, 129.4MiB allocated
Compiler

Compiled 16 508 to 1 332 computations (91.9% saved)

prune76.0ms (0.8%)

Memory
7.3MiB live, 130.2MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New53213545
Fresh000
Picked011
Done000
Total53214546
Accuracy
100.0%
Counts
546 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
▶99.6%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
66.5%
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
99.6%
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
▶60.3%
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
▶80.4%
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.5%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓99.7%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
66.5%
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶67.3%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
80.1%
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
34.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
Compiler

Compiled 428 to 308 computations (28% saved)

simplify198.0ms (2%)

Memory
-26.8MiB live, 285.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64))
✓cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
✓cost-diff128
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓cost-diff320
(/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x))
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓cost-diff0
(sqrt.f64 x)
✓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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓cost-diff0
(*.f64 y #s(literal -1/3 binary64))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
✓cost-diff0
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
✓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 #s(literal 1 binary64) x)
✓cost-diff0
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
✓cost-diff128
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓cost-diff704
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
Rules
5 712×lower-fma.f32
5 708×lower-fma.f64
3 260×lower-*.f32
3 252×lower-*.f64
1 856×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029200
052207
190187
2161187
3309185
4571185
51254185
63743185
76389185
08145184
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1 binary64) x)
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)
(+.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 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(sqrt.f64 x)
x
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
(+.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)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x))
#s(literal 1/9 binary64)
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/9 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)
Outputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
#s(literal 1 binary64)
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1 binary64) x)
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)
(+.f64 #s(literal 1 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 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(sqrt.f64 x)
x
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)
#s(literal -1/9 binary64)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
(+.f64 #s(literal 1 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)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
#s(literal 1/9 binary64)
(*.f64 (*.f64 x #s(literal 9 binary64)) x)
(*.f64 x (*.f64 x #s(literal 9 binary64)))
(*.f64 x #s(literal 9 binary64))
x
#s(literal 9 binary64)
#s(literal 1 binary64)
(-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/9 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)

localize123.0ms (1.2%)

Memory
-15.6MiB live, 237.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy99.5%
(/.f64 #s(literal -1/9 binary64) x)
✓accuracy99.3%
(/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x))
✓accuracy78.4%
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓accuracy99.5%
(/.f64 #s(literal -1/9 binary64) x)
✓accuracy99.4%
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
✓accuracy99.5%
(*.f64 y #s(literal -1/3 binary64))
✓accuracy93.7%
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
✓accuracy99.5%
(/.f64 #s(literal -1/9 binary64) x)
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓accuracy99.5%
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
Samples
64.0ms256×0valid
Compiler

Compiled 205 to 33 computations (83.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 12.0ms (27% of total)
ival-mult: 10.0ms (22.5% of total)
const: 10.0ms (22.5% of total)
ival-sub: 6.0ms (13.5% of total)
ival-add: 3.0ms (6.7% of total)
ival-sqrt: 2.0ms (4.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
8.1MiB live, 46.0MiB allocated
Counts
18 → 288
Calls
Call 1
Inputs
#<alt (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))>
#<alt (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))>
#<alt (/.f64 #s(literal -1/9 binary64) x)>
#<alt (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)>
#<alt (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))>
#<alt (sqrt.f64 x)>
#<alt (*.f64 y #s(literal -1/3 binary64))>
#<alt (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))>
#<alt (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))>
#<alt (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x))>
#<alt (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))>
#<alt (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))>
#<alt (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))>
Outputs
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (/ 1/9 x)>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (- (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))>
#<alt (/ -1/9 x)>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* 1/3 (* (sqrt x) (* y (pow (sqrt -1) 2))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt (* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))>
#<alt -1/9>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (- (* -1/3 (* (sqrt x) y)) 1/9)>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))>
#<alt (* -1/3 (* (sqrt x) y))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ 1/81 (pow x 2))>
#<alt (* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))>
#<alt (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))>
#<alt (+ (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))) (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))) (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))) (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (* y (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (* y (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (* y (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x)))))) (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))))))>
#<alt (* -1 (* y (- (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x)))))) (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))))))>
#<alt (* -1 (* y (- (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x)))))) (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))))))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (/ 1/81 (pow x 2))>
#<alt (/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))>
#<alt (/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))>
#<alt -1>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt -1>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (- (* 1/81 (/ 1 (pow x 2))) 1)>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
Calls

72 calls:

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

rewrite635.0ms (6.5%)

Memory
50.3MiB live, 667.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 526×lower-fma.f32
7 522×lower-fma.f64
4 852×lower-/.f32
4 836×lower-/.f64
3 634×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029136
052125
1237104
22450104
09920103
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 1 457
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64))
(sqrt.f64 x)
(*.f64 y #s(literal -1/3 binary64))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 9 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/9 binary64) x))
(neg.f64 (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 9 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 9 binary64) (neg.f64 x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))
(/.f64 #s(literal -1/9 binary64) (neg.f64 x))
(/.f64 #s(literal 1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 9 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -9 binary64))
(pow.f64 (*.f64 x #s(literal 9 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/9 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(+.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 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))
(-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 y (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (fma.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))) (/.f64 (/.f64 (*.f64 (*.f64 y (*.f64 y y)) #s(literal -1/27 binary64)) (*.f64 x (sqrt.f64 x))) (fma.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) x) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(-.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) y) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (neg.f64 y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (sqrt.f64 x))) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (*.f64 y #s(literal 1/3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (sqrt.f64 x))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y))) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (neg.f64 y)) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (sqrt.f64 x)) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (*.f64 y #s(literal 1/3 binary64))) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (sqrt.f64 x))))
(-.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))))
(-.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (neg.f64 y)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 y #s(literal 1/3 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (sqrt.f64 x))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y))) (*.f64 (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 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))) (/.f64 (*.f64 (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)) #s(literal 1 binary64)) (*.f64 (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 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (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 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (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)) y) (*.f64 (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 #s(literal 3 binary64) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (*.f64 (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 (sqrt.f64 x) #s(literal -3 binary64)))) (/.f64 (*.f64 (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)) (neg.f64 y)) (*.f64 (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 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (sqrt.f64 x)) (*.f64 (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)) (sqrt.f64 x))) (/.f64 (*.f64 (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 #s(literal 1/3 binary64))) (*.f64 (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)) (sqrt.f64 x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) 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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(fma.f64 #s(literal -1/9 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1/9 binary64) x)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/9 binary64) (/.f64 (/.f64 #s(literal -1/9 binary64) x) x) #s(literal -1 binary64))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
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(/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))
(/.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))))
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(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64))))) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 (*.f64 x (*.f64 x #s(literal 9 binary64))) (*.f64 x (*.f64 x #s(literal 9 binary64))))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))))))
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 #s(literal 1/729 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) #s(literal 729 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))))
(*.f64 (fma.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))) (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))))
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(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)))))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
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(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 x))))
(/.f64 (neg.f64 (/.f64 y (sqrt.f64 x))) #s(literal -3 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x))))
(*.f64 (neg.f64 y) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y #s(literal 1/3 binary64)))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 y #s(literal -3 binary64)))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))

simplify456.0ms (4.6%)

Memory
-19.9MiB live, 455.7MiB allocated
Algorithm
1×egg-herbie
Rules
9 500×lower-fma.f64
9 500×lower-fma.f32
4 178×lower-*.f64
4 178×lower-*.f32
2 672×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01192243
13402218
210232205
332612187
471182187
082002086
Stop Event
1×iter limit
1×node limit
Counts
288 → 288
Calls
Call 1
Inputs
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(/ 1/9 x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) 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)) (* 1/9 (/ 1 x))))
(- 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))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 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)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -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 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* -1/3 (sqrt (/ 1 x))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 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 (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(- (* 1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))
(/ -1/9 x)
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* y (- (* -1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(* -1 (* y (+ (* 1/3 (sqrt (/ 1 x))) (* 1/9 (/ 1 (* x y))))))
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* x (- (* -1/3 (* (sqrt (/ 1 x)) y)) (* 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 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
(* -1 (* x (+ (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (* 1/9 (/ 1 x)))))
-1/9
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(- (* -1/3 (* (sqrt x) y)) 1/9)
(* -1/3 (* (sqrt x) y))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* y (- (* -1/3 (sqrt x)) (* 1/9 (/ 1 y))))
(* -1/3 (* (sqrt x) y))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(* -1 (* y (+ (* 1/3 (sqrt x)) (* 1/9 (/ 1 y)))))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 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))) (* 1/9 (/ 1 x)))
(- (+ 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)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -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 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(/ 1/81 (pow x 2))
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) 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)) (* 1/9 (/ 1 x))))
(- 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))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x)))))
(+ (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))) (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))) (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))) (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (* y (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (* y (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (* y (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (sqrt (/ 1 x)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x)))))) (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))))))
(* -1 (* y (- (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x)))))) (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))))))
(* -1 (* y (- (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x)))))) (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))))))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ 1/81 (pow x 2))
(/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))
(/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))
(/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))
-1
(- (* 1/81 (/ 1 (pow x 2))) 1)
(- (* 1/81 (/ 1 (pow x 2))) 1)
(- (* 1/81 (/ 1 (pow x 2))) 1)
-1
(- (* 1/81 (/ 1 (pow x 2))) 1)
(- (* 1/81 (/ 1 (pow x 2))) 1)
(- (* 1/81 (/ 1 (pow x 2))) 1)
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
Outputs
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(/ 1/9 x)
(/.f64 #s(literal 1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 1/3 (* (sqrt x) y))) x))
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))) x)
(/ (- x (+ 1/9 (* 1/3 (* (sqrt x) y)))) x)
(/.f64 (-.f64 x (fma.f64 (sqrt.f64 x) (*.f64 #s(literal 1/3 binary64) y) #s(literal 1/9 binary64))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (+ (* 1/3 (* (sqrt (/ 1 x)) y)) (* 1/9 (/ 1 x))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* y (- (/ 1 y) (+ (* 1/3 (sqrt (/ 1 x))) (/ 1/9 (* x y)))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.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)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.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)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -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)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -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)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -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)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
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(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+ (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))) (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(+ (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))) (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(+ (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (+ 1 (* 1/9 (/ 1 x))))) (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* y (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (* y (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(* y (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (* y (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(* y (- (* -1 (/ (- (* 1/81 (/ 1 (pow x 2))) 1) (* y (+ 1 (* 1/9 (/ 1 x)))))) (* 1/3 (sqrt (/ 1 x)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(* -1 (* y (- (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x)))))) (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(* -1 (* y (- (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x)))))) (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(* -1 (* y (- (/ 1/81 (* (pow x 2) (* y (+ 1 (* 1/9 (/ 1 x)))))) (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 (* y (+ 1 (* 1/9 (/ 1 x)))))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ (- x 1/9) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
1
#s(literal 1 binary64)
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(- 1 (* 1/9 (/ 1 x)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/ 1/81 (pow x 2))
(/.f64 #s(literal 1/81 binary64) (*.f64 x x))
(/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(/ (+ 1/81 (* -1 (pow x 2))) (pow x 2))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
-1
#s(literal -1 binary64)
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(- (* 1/81 (/ 1 (pow x 2))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x)))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/3 binary64) y))

eval440.0ms (4.5%)

Memory
11.1MiB live, 565.7MiB allocated
Compiler

Compiled 59 845 to 2 818 computations (95.3% saved)

prune176.0ms (1.8%)

Memory
7.2MiB live, 412.4MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New2 133142 147
Fresh538
Picked325
Done101
Total2 142192 161
Accuracy
100.0%
Counts
2 161 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
▶99.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
▶33.8%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
67.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
▶99.6%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
66.4%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
✓60.3%
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
46.9%
(/.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
28.5%
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
34.5%
(/.f64 #s(literal -1/9 binary64) x)
99.6%
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
▶66.5%
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
33.8%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
67.3%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
67.4%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓67.3%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
55.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)))
34.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
▶33.8%
#s(literal 1 binary64)
Compiler

Compiled 394 to 290 computations (26.4% saved)

simplify49.0ms (0.5%)

Memory
5.2MiB live, 46.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓cost-diff0
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓cost-diff0
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓cost-diff0
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓cost-diff128
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
✓cost-diff0
(sqrt.f64 x)
✓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 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓cost-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
Rules
784×lower-fma.f32
780×lower-fma.f64
416×lower-*.f32
410×lower-*.f64
236×cancel-sign-sub-inv
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
025114
044115
174103
2126103
3195103
4327103
5483103
6575103
7731103
8927103
91148103
101247103
111284103
01284102
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
(+.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))
#s(literal -9 binary64)
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal 1/9 binary64)
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
#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
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(sqrt.f64 x)
x
#s(literal -3 binary64)
y
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
Outputs
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
(+.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))
#s(literal -9 binary64)
#s(literal 1 binary64)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))
y
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 binary64)
(sqrt.f64 x)
x
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(sqrt.f64 x)
x
#s(literal -3 binary64)
y
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)

localize129.0ms (1.3%)

Memory
-8.7MiB live, 187.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
✓accuracy99.5%
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
✓accuracy99.5%
(/.f64 #s(literal -1/9 binary64) x)
✓accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.7%
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
✓accuracy99.5%
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.7%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓accuracy99.4%
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
Samples
95.0ms256×0valid
Compiler

Compiled 119 to 30 computations (74.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 77.0ms
const: 32.0ms (41.6% of total)
ival-div: 26.0ms (33.8% of total)
ival-mult: 9.0ms (11.7% of total)
ival-add: 5.0ms (6.5% of total)
ival-sqrt: 2.0ms (2.6% of total)
ival-sub: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
13 → 204
Calls
Call 1
Inputs
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))>
#<alt (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))>
#<alt (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))>
#<alt (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))>
#<alt (*.f64 #s(literal 3 binary64) (sqrt.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))>
#<alt (*.f64 (sqrt.f64 x) #s(literal -3 binary64))>
#<alt (/.f64 #s(literal -1/9 binary64) x)>
Outputs
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ 1/9 x)>
#<alt (/ (+ 1/9 x) x)>
#<alt (/ (+ 1/9 x) x)>
#<alt (/ (+ 1/9 x) x)>
#<alt 1>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* 1/9 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (/ (- x (* 1/3 (* (sqrt x) y))) x)>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* 3 (sqrt x))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* -3 (sqrt x))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* 3 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
Calls

51 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* (sqrt x) -3)
0.0ms
x
@0
(* (sqrt x) -3)
0.0ms
x
@inf
(* (sqrt x) -3)
0.0ms
x
@inf
(- 1 (/ y (* 3 (sqrt x))))
0.0ms
x
@0
(- 1 (/ y (* 3 (sqrt x))))

rewrite705.0ms (7.2%)

Memory
-12.2MiB live, 679.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
15 382×lower-fma.f32
15 378×lower-fma.f64
4 172×lower-*.f32
4 166×lower-*.f64
3 126×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02577
04476
118168
2165868
0945767
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 846
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 3 binary64) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/.f64 #s(literal -1/9 binary64) x)
Outputs
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))
(neg.f64 (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))
(pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 81 binary64) x) x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
(+.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 #s(literal -1/9 binary64) x)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 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 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(+.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))))))
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))) #s(literal 1 binary64))
(+.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 0 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 y (*.f64 (sqrt.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(-.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 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 (+.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 0 binary64) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))
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(*.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/9 binary64) x) y y) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal -1/9 binary64) x) (-.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))))))
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal 1/27 binary64) (*.f64 x (sqrt.f64 x))) (*.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 y y)) x)))))
(*.f64 (fma.f64 (*.f64 y y) (/.f64 #s(literal -1/9 binary64) x) (+.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))))
(+.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(neg.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(/.f64 (sqrt.f64 x) #s(literal -1/3 binary64))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/3 binary64))
(/.f64 (*.f64 x #s(literal -9 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 x (sqrt.f64 x)) #s(literal 27 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 9 binary64) (*.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(*.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 x)))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -3 binary64) (sqrt.f64 x))
(*.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(exp.f64 (neg.f64 (log.f64 (*.f64 x #s(literal -9 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1/9 binary64) x))
(neg.f64 (/.f64 #s(literal 1/9 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64))
(/.f64 #s(literal 1/9 binary64) (neg.f64 x))
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 9 binary64))
(pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 81 binary64) x) x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(*.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/9 binary64))
(*.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x #s(literal -9 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))

simplify328.0ms (3.3%)

Memory
-9.0MiB live, 398.5MiB allocated
Algorithm
1×egg-herbie
Rules
5 588×lower-fma.f64
5 588×lower-fma.f32
2 614×lower-*.f64
2 614×lower-*.f32
1 498×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0611433
11561433
24041433
39741433
429661433
553901433
671481433
081131371
Stop Event
1×iter limit
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 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))) (* 1/9 (/ 1 x)))
(- (+ 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)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -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 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ 1/9 x)
(/ (+ 1/9 x) x)
(/ (+ 1/9 x) x)
(/ (+ 1/9 x) x)
1
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
1
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
(+ 1 (* 1/9 (/ 1 x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* y (- (/ 1 y) (* 1/3 (sqrt (/ 1 x)))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(/ (- x (* 1/3 (* (sqrt x) y))) x)
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(- 1 (* 1/3 (* (sqrt (/ 1 x)) y)))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 1/3 (* (sqrt (/ 1 x)) y))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* 3 (sqrt x))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -3 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 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))) (* 1/9 (/ 1 x)))
(- (+ 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)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -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 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* -3 (sqrt x))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
Outputs
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 (sqrt.f64 x) y) #s(literal -1/9 binary64)) x))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
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(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* -3 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(* 3 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal -3 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)

eval285.0ms (2.9%)

Memory
7.7MiB live, 317.4MiB allocated
Compiler

Compiled 20 330 to 1 382 computations (93.2% saved)

prune266.0ms (2.7%)

Memory
14.4MiB live, 283.0MiB allocated
Pruning

21 alts after pruning (14 fresh and 7 done)

PrunedKeptTotal
New1 10641 110
Fresh21012
Picked055
Done022
Total1 108211 129
Accuracy
100.0%
Counts
1 129 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
66.4%
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
✓99.6%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓33.8%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
▶67.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
✓99.6%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
▶66.4%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
67.1%
(fma.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
✓60.3%
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
28.5%
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
2.8%
(/.f64 #s(literal 1/9 binary64) x)
▶34.5%
(/.f64 #s(literal -1/9 binary64) x)
66.4%
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
✓66.5%
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
33.8%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
67.3%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
67.4%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
✓67.3%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
55.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)))
▶34.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
✓33.8%
#s(literal 1 binary64)
Compiler

Compiled 339 to 257 computations (24.2% saved)

simplify39.0ms (0.4%)

Memory
-23.7MiB live, 17.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 y #s(literal -1/3 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff0
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓cost-diff0
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
✓cost-diff0
(sqrt.f64 x)
✓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 binary64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) x)
✓cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 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
(sqrt.f64 x)
✓cost-diff0
(/.f64 y (sqrt.f64 x))
✓cost-diff0
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
Rules
36×lower-fma.f32
36×lower-*.f32
32×lower-*.f64
30×lower-fma.f64
24×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01786
03285
15085
26485
36785
06785
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal -1/3 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)
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/9 binary64)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)
Outputs
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 y (sqrt.f64 x))
y
(sqrt.f64 x)
x
#s(literal -1/3 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)
(/.f64 #s(literal -1/9 binary64) x)
#s(literal -1/9 binary64)
x
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(literal -1/9 binary64)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
#s(literal -1/3 binary64)
(sqrt.f64 x)
x
y
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 y #s(literal -1/3 binary64))
y
#s(literal -1/3 binary64)

localize74.0ms (0.8%)

Memory
15.8MiB live, 213.3MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.8%
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
✓accuracy99.6%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
✓accuracy99.5%
(*.f64 y #s(literal -1/3 binary64))
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.9%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
✓accuracy99.4%
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
✓accuracy99.7%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
✓accuracy99.5%
(/.f64 #s(literal -1/9 binary64) x)
✓accuracy100.0%
(sqrt.f64 x)
✓accuracy99.8%
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
✓accuracy99.6%
(/.f64 y (sqrt.f64 x))
✓accuracy99.5%
(/.f64 #s(literal -1/9 binary64) x)
Samples
47.0ms256×0valid
Compiler

Compiled 91 to 22 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 7.0ms (22.3% of total)
ival-mult: 7.0ms (22.3% of total)
const: 7.0ms (22.3% of total)
ival-add: 6.0ms (19.1% of total)
ival-sqrt: 4.0ms (12.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0%)

Memory
12.5MiB live, 12.5MiB allocated
Counts
12 → 192
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))>
#<alt (/.f64 y (sqrt.f64 x))>
#<alt (sqrt.f64 x)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))>
#<alt (/.f64 #s(literal -1/9 binary64) x)>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))>
#<alt (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 y #s(literal -1/3 binary64))>
Outputs
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (* -1 (* y (+ (* -1 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))>
#<alt (/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (* (sqrt (/ 1 x)) y)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (sqrt x)>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (* -1 (* (sqrt x) (pow (sqrt -1) 2)))>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ -1/9 x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt (/ (- x 1/9) x)>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt 1>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (- 1 (* 1/9 (/ 1 x)))>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (/ (+ x (* -1/3 (* (sqrt x) y))) x)>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt 1>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (sqrt (/ 1 x)))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (* -1/3 (* (sqrt (/ 1 x)) y))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (sqrt (/ 1 x))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
#<alt (* -1/3 y)>
Calls

48 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* (sqrt (/ 1 x)) (* y -1/3))
0.0ms
y
@-inf
(/ y (sqrt x))
0.0ms
x
@-inf
(sqrt (/ 1 x))
0.0ms
x
@-inf
(+ (* (/ -1/3 (sqrt x)) y) 1)
0.0ms
y
@0
(* (sqrt (/ 1 x)) (* y -1/3))

rewrite428.0ms (4.4%)

Memory
-27.5MiB live, 746.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
15 858×lower-fma.f32
15 852×lower-fma.f64
5 330×lower-*.f32
5 326×lower-*.f64
4 056×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01760
03259
113556
296656
0847056
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 567
Calls
Call 1
Inputs
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(/.f64 y (sqrt.f64 x))
(sqrt.f64 x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(/.f64 #s(literal -1/9 binary64) x)
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(*.f64 y #s(literal -1/3 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))))
(+.f64 (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(+.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(+.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(+.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) #s(literal 1 binary64))
(-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/9 binary64) x))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))))
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))))
(-.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))) (/.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y)) (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))))
(-.f64 (/.f64 (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/9 binary64) x)))))
(-.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))))
(-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))))
(-.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))))
(fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (*.f64 (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y #s(literal -3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/9 binary64)) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal -1 binary64) x) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (*.f64 y (/.f64 #s(literal 1/9 binary64) x)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))))) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (*.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (neg.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/9 binary64) x))))))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) x))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) x))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/81 binary64) (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (*.f64 (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (/.f64 #s(literal -1/27 binary64) (*.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) #s(literal 1 binary64)) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x))))) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 1/9 binary64) x) (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/81 binary64) x) #s(literal -1/9 binary64)) x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/729 binary64) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) (/.f64 #s(literal -1/81 binary64) (*.f64 x x)))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/81 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(fma.f64 (+.f64 (/.f64 #s(literal -1/81 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/9 binary64) x) #s(literal 1 binary64))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
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(/.f64 #s(literal 1/3 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x)))
(pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(neg.f64 (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)) y))
(neg.f64 (*.f64 y (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 #s(literal -1/3 binary64) (/.f64 (sqrt.f64 x) y))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (sqrt.f64 x) #s(literal -3 binary64)) y))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1/3 binary64) (neg.f64 (/.f64 (sqrt.f64 x) y)))
(/.f64 (neg.f64 y) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 y #s(literal 1/3 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (neg.f64 (*.f64 y #s(literal 1/3 binary64))) (sqrt.f64 x))
(/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 y #s(literal -1 binary64)) (*.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 y #s(literal 1/3 binary64))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x)))
(pow.f64 (/.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1 binary64))
(*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 y #s(literal -3 binary64)))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (/.f64 y (neg.f64 (sqrt.f64 x))))
(*.f64 #s(literal 1/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) y))
(*.f64 (neg.f64 y) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal -1/3 binary64)))
(*.f64 (*.f64 y #s(literal 1/3 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 (pow.f64 x #s(literal -1/4 binary64)) (*.f64 y #s(literal -1/3 binary64))))
(*.f64 (/.f64 y (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 1/4 binary64))) (/.f64 y (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)))
(*.f64 (*.f64 (*.f64 y #s(literal -1/3 binary64)) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (neg.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (neg.f64 x)))
(pow.f64 x #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1/4 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal -1 binary64) x)))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 x))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 y #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) y)
(*.f64 #s(literal 1 binary64) (*.f64 y #s(literal -1/3 binary64)))
(*.f64 (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))

simplify365.0ms (3.7%)

Memory
-0.8MiB live, 637.5MiB allocated
Algorithm
1×egg-herbie
Rules
16 320×lower-fma.f64
16 320×lower-fma.f32
4 318×lower-*.f64
4 318×lower-*.f32
1 750×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0551250
11441218
23781214
39641214
434501214
570551214
081911173
Stop Event
1×iter limit
1×node limit
Counts
192 → 192
Calls
Call 1
Inputs
(- 1 (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -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 (/ (- 1 (* 1/9 (/ 1 x))) y)) (* 1/3 (sqrt (/ 1 x))))))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 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))) (* 1/9 (/ 1 x)))
(- (+ 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)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(* (sqrt (/ 1 x)) y)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ -1/9 x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
(/ (- x 1/9) x)
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
1
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(- 1 (* 1/9 (/ 1 x)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1/3 (* (sqrt (/ 1 x)) y))
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(/ (+ x (* -1/3 (* (sqrt x) y))) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
1
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* y (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1 (* y (- (* 1/3 (sqrt (/ 1 x))) (/ 1 y))))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (sqrt (/ 1 x)))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(* -1/3 (* (sqrt (/ 1 x)) y))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(sqrt (/ 1 x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
(* -1/3 y)
Outputs
(- 1 (* 1/9 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* y (- (+ (* -1/3 (sqrt (/ 1 x))) (/ 1 y)) (/ 1/9 (* x y))))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -1/3 (* (sqrt (/ 1 x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) 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)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -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)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(* -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)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(/ (- (* -1/3 (* (sqrt x) y)) 1/9) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) y) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (+.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) y) x) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (+.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) y) x) #s(literal -1/9 binary64)) x)
(/ (- (+ x (* -1/3 (* (sqrt x) y))) 1/9) x)
(/.f64 (+.f64 (fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1/3 binary64) y) x) #s(literal -1/9 binary64)) x)
(+ 1 (* -1/3 (* (sqrt (/ 1 x)) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
(+.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal -1/3 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal -1/9 binary64) x))
(- (+ 1 (* -1/3 (* (sqrt (/ 1 x)) y))) (* 1/9 (/ 1 x)))
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eval105.0ms (1.1%)

Memory
-6.4MiB live, 306.1MiB allocated
Compiler

Compiled 14 822 to 1 279 computations (91.4% saved)

prune96.0ms (1%)

Memory
19.7MiB live, 256.5MiB allocated
Pruning

24 alts after pruning (15 fresh and 9 done)

PrunedKeptTotal
New8409849
Fresh369
Picked145
Done257
Total84624870
Accuracy
100.0%
Counts
870 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.3%
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1/9 binary64) #s(literal 1 binary64))
66.2%
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))
66.4%
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(literal 1 binary64))
✓33.8%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
✓67.3%
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
✓99.6%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
✓66.4%
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
67.1%
(fma.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
✓60.3%
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
28.5%
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
34.5%
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
34.5%
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
34.6%
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
2.8%
(/.f64 #s(literal 1/9 binary64) x)
✓34.5%
(/.f64 #s(literal -1/9 binary64) x)
33.8%
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
67.3%
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
✓67.3%
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
34.5%
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
55.1%
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)))
34.5%
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
34.4%
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
✓34.5%
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
✓33.8%
#s(literal 1 binary64)
Compiler

Compiled 628 to 273 computations (56.5% saved)

regimes39.0ms (0.4%)

Memory
-5.4MiB live, 83.0MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.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 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)) #s(literal -1/9 binary64) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal 1/81 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (*.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 9 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 x (*.f64 (*.f64 y #s(literal -1/3 binary64)) (*.f64 y #s(literal -1/3 binary64))) #s(literal -1/81 binary64)) (*.f64 x (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/3 binary64) (sqrt.f64 x))) #s(literal 3 binary64))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 x #s(literal 9 binary64)) x))) (*.f64 #s(literal 3 binary64) (sqrt.f64 x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/9 binary64) x)) y)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) x)) (*.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:

14.0ms
x
12.0ms
(-.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))))
11.0ms
y
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
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))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes30.0ms (0.3%)

Memory
-15.1MiB live, 61.4MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
Calls

3 calls:

10.0ms
y
9.0ms
x
8.0ms
(-.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 22 to 16 computations (27.3% saved)

regimes27.0ms (0.3%)

Memory
22.7MiB live, 61.6MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
Outputs
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
Calls

3 calls:

9.0ms
x
8.0ms
y
8.0ms
(-.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 22 to 16 computations (27.3% saved)

regimes29.0ms (0.3%)

Memory
-24.6MiB live, 56.2MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
Outputs
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
Calls

3 calls:

10.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
8.0ms
x
8.0ms
y
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
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))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes25.0ms (0.3%)

Memory
18.4MiB live, 56.5MiB allocated
Counts
25 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))
Outputs
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
Calls

3 calls:

9.0ms
x
7.0ms
y
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
98.8%2x
97.8%3y
98.5%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))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes9.0ms (0.1%)

Memory
23.0MiB live, 23.0MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) y #s(literal 1 binary64))
Outputs
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Memory
-22.0MiB live, 16.9MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
Outputs
(/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x)
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

1 calls:

7.0ms
x
Results
AccuracySegmentsBranch
98.7%2x
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes22.0ms (0.2%)

Memory
4.4MiB live, 48.2MiB allocated
Counts
21 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y #s(literal 1/3 binary64)) (sqrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1/3 binary64)) x)
Outputs
(-.f64 #s(literal 1 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 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
Calls

3 calls:

8.0ms
(-.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))))
6.0ms
x
6.0ms
y
Results
AccuracySegmentsBranch
97.7%3y
82.1%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))))
84.7%2x
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory
-21.7MiB live, 17.1MiB allocated
Counts
17 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
Outputs
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))
Calls

1 calls:

7.0ms
y
Results
AccuracySegmentsBranch
97.7%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
11.5MiB live, 11.5MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
Outputs
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
97.7%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(/.f64 (*.f64 y #s(literal -1/3 binary64)) (sqrt.f64 x))
Outputs
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))
Calls

1 calls:

5.0ms
y
Results
AccuracySegmentsBranch
95.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
-24.0MiB live, 14.6MiB allocated
Counts
13 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
Outputs
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))
Calls

1 calls:

6.0ms
y
Results
AccuracySegmentsBranch
95.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
12 → 3
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
Outputs
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)
Calls

1 calls:

4.0ms
y
Results
AccuracySegmentsBranch
95.1%3y
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Memory
-5.9MiB live, 32.9MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -9 binary64)))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64))))
Calls

3 calls:

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))))
4.0ms
y
4.0ms
x
Results
AccuracySegmentsBranch
67.4%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))))
67.4%1x
67.4%1y
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes11.0ms (0.1%)

Memory
25.4MiB live, 25.4MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/9 binary64) #s(literal 1 binary64))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x))
Calls

3 calls:

3.0ms
y
3.0ms
(-.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))))
3.0ms
x
Results
AccuracySegmentsBranch
67.3%1x
67.3%1y
67.3%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))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes8.0ms (0.1%)

Memory
-23.6MiB live, 19.0MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal 1 binary64)
(/.f64 #s(literal -1/9 binary64) x)
(/.f64 #s(literal 1/9 binary64) x)
Outputs
(/.f64 #s(literal -1/9 binary64) x)
#s(literal 1 binary64)
Calls

3 calls:

4.0ms
y
2.0ms
x
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
66.4%2x
40.2%2y
66.9%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))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

regimes4.0ms (0%)

Memory
10.7MiB live, 10.7MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
Calls

3 calls:

1.0ms
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
33.8%1y
33.8%1x
33.8%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))))
Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch16.0ms (0.2%)

Memory
-7.7MiB live, 31.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
2.9015559633032915e-7
0.0006063572026317989
Samples
9.0ms128×0valid
Compiler

Compiled 211 to 161 computations (23.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (30.9% of total)
ival-sub: 2.0ms (30.9% of total)
ival-mult: 2.0ms (30.9% of total)
ival-sqrt: 1.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
1.0ms
2.9015559633032915e-7
0.0006063572026317989
Compiler

Compiled 211 to 161 computations (23.7% saved)

bsearch14.0ms (0.1%)

Memory
-9.2MiB live, 29.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
0.0006063572026317989
0.014807709733637485
Samples
8.0ms112×0valid
Compiler

Compiled 180 to 143 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sqrt: 2.0ms (32.9% of total)
ival-div: 1.0ms (16.5% of total)
ival-sub: 1.0ms (16.5% of total)
ival-mult: 1.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch41.0ms (0.4%)

Memory
1.9MiB live, 83.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.2510129183956926e+52
7.884924681030606e+64
17.0ms
-8.104089956811722e+55
-1.2824906276810891e+39
Samples
20.0ms320×0valid
Compiler

Compiled 439 to 357 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (30.7% of total)
ival-mult: 4.0ms (30.7% of total)
ival-sub: 3.0ms (23% of total)
ival-sqrt: 2.0ms (15.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.2510129183956926e+52
7.884924681030606e+64
1.0ms
-8.104089956811722e+55
-1.2824906276810891e+39
Compiler

Compiled 419 to 337 computations (19.6% saved)

bsearch2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.2510129183956926e+52
7.884924681030606e+64
1.0ms
-8.104089956811722e+55
-1.2824906276810891e+39
Compiler

Compiled 419 to 337 computations (19.6% saved)

bsearch37.0ms (0.4%)

Memory
0.8MiB live, 78.3MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
16.0ms
1.2510129183956926e+52
7.884924681030606e+64
17.0ms
-5.247007583083229e+113
-3.5637041647298874e+103
Samples
22.0ms304×0valid
Compiler

Compiled 399 to 317 computations (20.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 4.0ms (31% of total)
ival-mult: 4.0ms (31% of total)
ival-sub: 3.0ms (23.2% of total)
ival-sqrt: 2.0ms (15.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.2510129183956926e+52
7.884924681030606e+64
1.0ms
-5.247007583083229e+113
-3.5637041647298874e+103
Compiler

Compiled 399 to 317 computations (20.6% saved)

bsearch2.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
1.0ms
1.2510129183956926e+52
7.884924681030606e+64
1.0ms
-5.247007583083229e+113
-3.5637041647298874e+103
Compiler

Compiled 399 to 317 computations (20.6% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-382935.30216463614
0.9999999172946696
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify15.0ms (0.2%)

Memory
-3.3MiB live, 35.6MiB allocated
Algorithm
1×egg-herbie
Rules
50×neg-mul-1_binary64
46×*-commutative_binary64
42×unsub-neg_binary64
30×+-commutative_binary64
26×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070320
187320
2103320
3127320
4147320
5189320
6251320
7257320
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 5534023222112865/9223372036854775808 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 5534023222112865/9223372036854775808 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 8416326983629983/576460752303423488 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -109999999999999999254304354179779077410787928613847040 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 119999999999999999186513840923395357175405013033287680 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -109999999999999999254304354179779077410787928613847040 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 119999999999999999186513840923395357175405013033287680 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -109999999999999999254304354179779077410787928613847040 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 119999999999999999186513840923395357175405013033287680 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (if (<=.f64 y #s(literal 73999999999999996608605439774555446657764651238467139231130058752 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(if (<=.f64 y #s(literal -36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960 binary64)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)) (if (<=.f64 y #s(literal 73999999999999996608605439774555446657764651238467139231130058752 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))))
(if (<=.f64 y #s(literal -36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) (if (<=.f64 y #s(literal 73999999999999996608605439774555446657764651238467139231130058752 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)))
(+.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))
(if (<=.f64 (-.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)))) #s(literal -200000 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)
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 #s(literal -1 binary64) (*.f64 x #s(literal 9 binary64)))) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1/9 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))))
(fma.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/9 binary64) x)))
(if (<=.f64 x #s(literal 5534023222112865/9223372036854775808 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) (/.f64 #s(literal -1/9 binary64) x)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 5534023222112865/9223372036854775808 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 y #s(literal -1/3 binary64)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal 8416326983629983/576460752303423488 binary64)) (/.f64 (fma.f64 (sqrt.f64 x) (*.f64 y #s(literal -1/3 binary64)) #s(literal -1/9 binary64)) x) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -109999999999999999254304354179779077410787928613847040 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x)))) (if (<=.f64 y #s(literal 119999999999999999186513840923395357175405013033287680 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 3 binary64) (sqrt.f64 x))))))
(if (<=.f64 y #s(literal -109999999999999999254304354179779077410787928613847040 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 119999999999999999186513840923395357175405013033287680 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -109999999999999999254304354179779077410787928613847040 binary64)) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64)) (if (<=.f64 y #s(literal 119999999999999999186513840923395357175405013033287680 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (fma.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960 binary64)) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64))) (if (<=.f64 y #s(literal 73999999999999996608605439774555446657764651238467139231130058752 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (/.f64 y (*.f64 (sqrt.f64 x) #s(literal -3 binary64)))))
(if (<=.f64 y #s(literal -36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960 binary64)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64)) (if (<=.f64 y #s(literal 73999999999999996608605439774555446657764651238467139231130058752 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1/3 binary64))))
(if (<=.f64 y #s(literal -36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960 binary64)) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x))) (if (<=.f64 y #s(literal 73999999999999996608605439774555446657764651238467139231130058752 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 #s(literal -1/3 binary64) (/.f64 y (sqrt.f64 x)))))
(if (<=.f64 y #s(literal -36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960 binary64)) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y) (if (<=.f64 y #s(literal 73999999999999996608605439774555446657764651238467139231130058752 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x)) y)))
(if (<=.f64 y #s(literal -36000000000000001660398659597765329400997578651373600722960609077090351480828321272714891664001293352960 binary64)) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 x))) (if (<=.f64 y #s(literal 73999999999999996608605439774555446657764651238467139231130058752 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -9 binary64)))) (*.f64 y (/.f64 #s(literal -1/3 binary64) (sqrt.f64 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))
(if (<=.f64 (-.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)))) #s(literal -200000 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
(if (<=.f64 (-.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)))) #s(literal -200000 binary64)) (/.f64 #s(literal -1/9 binary64) x) #s(literal 1 binary64))
#s(literal 1 binary64)

soundness2.2s (22.7%)

Memory
-15.3MiB live, 1 259.1MiB allocated
Rules
16 320×lower-fma.f64
16 320×lower-fma.f32
15 858×lower-fma.f32
15 852×lower-fma.f64
15 382×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0551250
11441218
23781214
39641214
434501214
570551214
081911173
01760
03259
113556
296656
0847056
01192243
13402218
210232205
332612187
471182187
082002086
056684
1134684
2323683
3820683
42379683
55023683
66534683
08135662
029136
052125
1237104
22450104
09920103
02577
04476
118168
2165868
0945767
01241
01941
17435
278935
0836634
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 688 to 360 computations (47.7% saved)

preprocess141.0ms (1.4%)

Memory
27.1MiB live, 185.6MiB allocated
Compiler

Compiled 708 to 190 computations (73.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...