Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2

Time bar (total: 4.8s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample737.0ms (15.3%)

Memory
48.7MiB live, 1 073.0MiB allocated; 250ms collecting garbage
Samples
433.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-mult: 142.0ms (67.7% of total)
ival-sub: 51.0ms (24.3% of total)
ival-true: 6.0ms (2.9% of total)
exact: 5.0ms (2.4% of total)
ival-assert: 4.0ms (1.9% of total)
adjust: 2.0ms (1% of total)
Bogosity

explain83.0ms (1.7%)

Memory
-30.8MiB live, 168.7MiB allocated; 43ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 #s(literal 1 binary64) y)
00-0-(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
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
24.0ms512×0valid
Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (63.2% of total)
ival-sub: 3.0ms (27.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess18.0ms (0.4%)

Memory
31.4MiB live, 31.4MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
14339
212939
327939
433839
535139
636439
067
097
1157
2227
3247
0247
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0616
0916
11516
22216
32416
02416
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x y)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 x y)
(*.f64 y x)
x
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)

localize43.0ms (0.9%)

Memory
-13.8MiB live, 38.1MiB allocated; 16ms collecting garbage
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0
(*.f64 x y)
accuracy0.078125
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Samples
38.0ms256×0valid
Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 29.0ms (94.3% of total)
ival-sub: 1.0ms (3.3% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
14.4MiB live, 14.4MiB allocated; 0ms collecting garbage
Counts
3 → 10
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x y)
(-.f64 #s(literal 1 binary64) y)
Outputs
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
1
(+ 1 (* -1 y))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (* y (- 1 (/ 1 y))))
Calls

6 calls:

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

simplify89.0ms (1.8%)

Memory
-25.6MiB live, 109.4MiB allocated; 15ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02745
17142
215342
344042
4135842
5378842
6568742
7685442
8777242
0809542
Stop Event
iter limit
node limit
Counts
10 → 10
Calls
Call 1
Inputs
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
1
(+ 1 (* -1 y))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

rewrite145.0ms (3%)

Memory
16.5MiB live, 198.3MiB allocated; 52ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
12913
213913
3102413
0948812
Stop Event
iter limit
node limit
iter limit
Counts
3 → 400
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x y)
(-.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y y y))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 y y y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) y) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) y) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (/.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (fma.f64 y y y) (/.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 y y y) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (fma.f64 y y y) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) x))
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 x (fma.f64 y y y))
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) x)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 4 binary64)) y))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) x) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 4 binary64)) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) y) x) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 4 binary64)) y)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) y) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y)))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 y x)))
(fma.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 y) y)) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 y x) (*.f64 (neg.f64 y) y)) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 y (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) (*.f64 y x)) (-.f64 #s(literal 1 binary64) y)))
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(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (*.f64 (*.f64 (neg.f64 y) y) (/.f64 y (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (*.f64 (neg.f64 y) (/.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval57.0ms (1.2%)

Memory
7.7MiB live, 109.7MiB allocated; 14ms collecting garbage
Compiler

Compiled 10 979 to 1 043 computations (90.5% saved)

prune10.0ms (0.2%)

Memory
-18.3MiB live, 27.8MiB allocated; 3ms collecting garbage
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4006406
Fresh000
Picked011
Done000
Total4007407
Accuracy
99.9%
Counts
407 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
69.4%
(*.f64 (*.f64 x y) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) y))))
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
60.6%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
55.7%
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
53.3%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Compiler

Compiled 153 to 108 computations (29.4% saved)

simplify138.0ms (2.9%)

Memory
-1.0MiB live, 43.8MiB allocated; 10ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
(*.f64 (*.f64 (neg.f64 y) y) x)
cost-diff0
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
cost-diff0
#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 (*.f64 y x) (neg.f64 y))
cost-diff2
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021111
033113
168111
2133109
3210109
4383109
5650109
6966109
71359109
81496109
91516109
101516109
01516109
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
y
x
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 y x)
(neg.f64 y)
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 x y)
x
y
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
Outputs
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
y
x
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (neg.f64 x) (*.f64 y y))
(*.f64 y x)
(*.f64 x y)
(neg.f64 y)
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x) y)
(*.f64 x y)
x
y
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 x) (*.f64 y y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(fma.f64 (neg.f64 x) y x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x

localize129.0ms (2.7%)

Memory
28.8MiB live, 84.7MiB allocated; 41ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy0.0703125
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
accuracy0.0
(*.f64 x y)
accuracy0.0
(neg.f64 y)
accuracy0.078125
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy31.753627111268074
#s(approx (- 1 y) (neg.f64 y))
accuracy0.0
(*.f64 (neg.f64 y) y)
accuracy0.0
(neg.f64 y)
accuracy8.49386750182205
(*.f64 (*.f64 (neg.f64 y) y) x)
accuracy25.173605066458723
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
accuracy0.0
(*.f64 x y)
accuracy0.078125
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
accuracy31.50314221091347
#s(approx (- 1 y) #s(literal 1 binary64))
accuracy0.0
(*.f64 y x)
accuracy0.0
(neg.f64 y)
accuracy0.01171875
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
accuracy0.12890625
(*.f64 (*.f64 y x) (neg.f64 y))
Samples
117.0ms256×0valid
Compiler

Compiled 97 to 16 computations (83.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 99.0ms (95.9% of total)
ival-sub: 1.0ms (1% of total)
ival-add: 1.0ms (1% of total)
ival-neg: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-16.7MiB live, 31.5MiB allocated; 7ms collecting garbage
Counts
15 → 19
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 y x)
(neg.f64 y)
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 x y)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
Outputs
(* x (+ y (* -1 (pow y 2))))
(* -1 (* x (pow y 2)))
(* x y)
(* x (* y (- 1 y)))
(* x (- 1 y))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* y (+ x (* -1 (* x y))))
(* -1 y)
1
(+ 1 (* -1 y))
(* -1 (pow y 2))
x
(+ x (* -1 (* x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (+ x (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@0
((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (* (* x y) (- 1 y)) (- 1 y) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y))
2.0ms
y
@0
((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (* (* x y) (- 1 y)) (- 1 y) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y))
2.0ms
x
@inf
((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (* (* x y) (- 1 y)) (- 1 y) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y))
2.0ms
y
@-inf
((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (* (* x y) (- 1 y)) (- 1 y) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y))
2.0ms
y
@inf
((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (* (* x y) (- 1 y)) (- 1 y) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y))

simplify129.0ms (2.7%)

Memory
-0.8MiB live, 92.6MiB allocated; 4ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03993
112785
229485
387585
4193785
5373385
6555585
7671985
8760485
0806185
Stop Event
iter limit
node limit
Counts
19 → 18
Calls
Call 1
Inputs
(* x (+ y (* -1 (pow y 2))))
(* -1 (* x (pow y 2)))
(* x y)
(* x (* y (- 1 y)))
(* x (- 1 y))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* y (+ x (* -1 (* x y))))
(* -1 y)
1
(+ 1 (* -1 y))
(* -1 (pow y 2))
x
(+ x (* -1 (* x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (+ x (* -1 (/ x y)))))
Outputs
(* x (+ y (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) x) y)
(* x y)
(*.f64 x y)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (+ (* -1 y) (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 y)
(neg.f64 y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
x
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)

rewrite224.0ms (4.7%)

Memory
-9.8MiB live, 318.7MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02192
03394
19392
245790
3429887
0900484
Stop Event
iter limit
node limit
iter limit
Counts
15 → 946
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 y x)
(neg.f64 y)
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 x y)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
Outputs
(*.f64 (/.f64 (fma.f64 x y (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x y (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64))) (*.f64 (fma.f64 y y y) x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)
(*.f64 (/.f64 (*.f64 (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 y y y) x) (*.f64 x y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y y) x) x) (/.f64 (*.f64 (fma.f64 y y y) x) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y y) x) y) (/.f64 (*.f64 (fma.f64 y y y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y y) x) y) (/.f64 (*.f64 (fma.f64 y y y) x) (+.f64 x (*.f64 x y))))
(*.f64 (fma.f64 y y y) x)
(*.f64 (+.f64 x (*.f64 x y)) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (neg.f64 x) (fma.f64 y y y))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (fma.f64 y y y) x) (/.f64 (*.f64 (fma.f64 y y y) x) (*.f64 (fma.f64 y y y) x)))
(*.f64 (*.f64 (fma.f64 y y y) x) #s(literal 1 binary64))
(*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 y y y) x) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) x))
(*.f64 (neg.f64 y) (-.f64 (*.f64 x y) x))
(*.f64 (neg.f64 y) (+.f64 x (*.f64 x y)))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 x (neg.f64 (fma.f64 y y y)))
(*.f64 x (-.f64 (*.f64 (neg.f64 y) y) y))
(*.f64 x (fma.f64 y y y))
(*.f64 y (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(*.f64 y (*.f64 #s(literal 1 binary64) (+.f64 x (*.f64 x y))))
(*.f64 y (-.f64 (*.f64 (neg.f64 y) x) (neg.f64 x)))
(*.f64 y (neg.f64 (+.f64 x (*.f64 x y))))
(*.f64 y (-.f64 (*.f64 (neg.f64 y) x) x))
(*.f64 y (+.f64 x (*.f64 x y)))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))
(/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 2 binary64)) x) (fma.f64 y y y))
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(/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y x)
(fma.f64 (neg.f64 x) y x)
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x) x)
(fma.f64 (neg.f64 y) x x)
(fma.f64 x (neg.f64 y) x)
(fma.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x)) x)
(fma.f64 y (neg.f64 x) x)
(-.f64 x (*.f64 x y))
(+.f64 (*.f64 (neg.f64 y) x) x)
(+.f64 x (*.f64 (neg.f64 y) x))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 y y) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 y #s(literal 1 binary64))

eval68.0ms (1.4%)

Memory
10.1MiB live, 158.0MiB allocated; 12ms collecting garbage
Compiler

Compiled 9 072 to 1 241 computations (86.3% saved)

prune69.0ms (1.4%)

Memory
-16.0MiB live, 30.4MiB allocated; 4ms collecting garbage
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New5482550
Fresh101
Picked055
Done011
Total5498557
Accuracy
100.0%
Counts
557 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.2%
(fma.f64 y x (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (neg.f64 y)))
99.9%
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
52.6%
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x) y)
99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
60.6%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
55.7%
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
53.3%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Compiler

Compiled 83 to 60 computations (27.7% saved)

simplify81.0ms (1.7%)

Memory
21.0MiB live, 63.9MiB allocated; 7ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (*.f64 x y))
cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (neg.f64 y))
cost-diff2
(fma.f64 y x (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (neg.f64 y)))
cost-diff6
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
cost-diff0
(sqrt.f64 (neg.f64 y))
cost-diff0
(*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x)
cost-diff0
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x) y)
cost-diff5
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01385
02554
15454
217650
364850
4121450
5173150
6185150
7191050
8196250
9196450
10196450
11244050
12284450
13284450
0284450
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x) y)
(*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(sqrt.f64 (neg.f64 y))
(neg.f64 y)
y
#s(literal 1 binary64)
x
(fma.f64 y x (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (neg.f64 y)))
y
x
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (neg.f64 y))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
(neg.f64 y)
Outputs
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) y)
(sqrt.f64 (neg.f64 y))
(neg.f64 y)
y
#s(literal 1 binary64)
x
(fma.f64 y x (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
y
x
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (neg.f64 y))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 x y)
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
(neg.f64 y)

localize128.0ms (2.7%)

Memory
-4.4MiB live, 56.3MiB allocated; 109ms collecting garbage
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
accuracy0.0
(*.f64 x y)
accuracy0.0
(sqrt.f64 (*.f64 x y))
accuracy0.0
(neg.f64 y)
accuracy0.0
(*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x)
accuracy0.0
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x) y)
accuracy0.0
(sqrt.f64 (neg.f64 y))
accuracy0.0
(neg.f64 y)
Samples
114.0ms256×0invalid
Compiler

Compiled 91 to 17 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 95.0ms (92.5% of total)
ival-sqrt: 3.0ms (2.9% of total)
ival-add: 2.0ms (1.9% of total)
ival-neg: 1.0ms (1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series35.0ms (0.7%)

Memory
-7.4MiB live, 40.9MiB allocated; 14ms collecting garbage
Counts
10 → 28
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x) y)
(*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x)
(sqrt.f64 (neg.f64 y))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(fma.f64 y x (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (neg.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (neg.f64 y))
(sqrt.f64 (*.f64 x y))
(neg.f64 y)
(*.f64 x y)
Outputs
(* x (* y (+ 1 (* y (pow (sqrt -1) 2)))))
(* x (+ 1 (* y (pow (sqrt -1) 2))))
(* x y)
(* x (+ y (* -1 (pow y 2))))
(* -1 (* x (pow y 2)))
(sqrt (* x y))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 y) (* -1 (* (pow y 2) (pow (sqrt -1) 2))))))
(* x (* (pow y 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
1
(+ 1 (* y (pow (sqrt -1) 2)))
(* y (+ x (* x (* y (pow (sqrt -1) 2)))))
x
(+ x (* x (* y (pow (sqrt -1) 2))))
(* (sqrt y) (sqrt -1))
(* y (+ x (* -1 (* x y))))
(* -1 y)
(* y (pow (sqrt -1) 2))
(* y (+ (/ 1 y) (pow (sqrt -1) 2)))
(* (pow y 2) (+ (* x (pow (sqrt -1) 2)) (/ x y)))
(* x (* y (pow (sqrt -1) 2)))
(* y (+ (* x (pow (sqrt -1) 2)) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* (sqrt y) (sqrt -1)))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
y
@0
((+ (* (sqrt (neg y)) (sqrt (neg y))) 1) (* (* (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) x) y) (* (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) x) (sqrt (neg y)) (* (sqrt (* x y)) (sqrt (* x y))) (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y)) (sqrt (* x y)) (neg y) (* x y))
5.0ms
y
@-inf
((+ (* (sqrt (neg y)) (sqrt (neg y))) 1) (* (* (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) x) y) (* (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) x) (sqrt (neg y)) (* (sqrt (* x y)) (sqrt (* x y))) (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y)) (sqrt (* x y)) (neg y) (* x y))
3.0ms
x
@-inf
((+ (* (sqrt (neg y)) (sqrt (neg y))) 1) (* (* (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) x) y) (* (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) x) (sqrt (neg y)) (* (sqrt (* x y)) (sqrt (* x y))) (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y)) (sqrt (* x y)) (neg y) (* x y))
3.0ms
x
@0
((+ (* (sqrt (neg y)) (sqrt (neg y))) 1) (* (* (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) x) y) (* (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) x) (sqrt (neg y)) (* (sqrt (* x y)) (sqrt (* x y))) (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y)) (sqrt (* x y)) (neg y) (* x y))
2.0ms
y
@inf
((+ (* (sqrt (neg y)) (sqrt (neg y))) 1) (* (* (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) x) y) (* (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) x) (sqrt (neg y)) (* (sqrt (* x y)) (sqrt (* x y))) (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y)) (sqrt (* x y)) (neg y) (* x y))

simplify184.0ms (3.8%)

Memory
3.2MiB live, 146.4MiB allocated; 26ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057215
1207129
2586129
31808129
46276129
08270129
Stop Event
iter limit
node limit
Counts
28 → 27
Calls
Call 1
Inputs
(* x (* y (+ 1 (* y (pow (sqrt -1) 2)))))
(* x (+ 1 (* y (pow (sqrt -1) 2))))
(* x y)
(* x (+ y (* -1 (pow y 2))))
(* -1 (* x (pow y 2)))
(sqrt (* x y))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (+ (* -1 y) (* -1 (* (pow y 2) (pow (sqrt -1) 2))))))
(* x (* (pow y 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
1
(+ 1 (* y (pow (sqrt -1) 2)))
(* y (+ x (* x (* y (pow (sqrt -1) 2)))))
x
(+ x (* x (* y (pow (sqrt -1) 2))))
(* (sqrt y) (sqrt -1))
(* y (+ x (* -1 (* x y))))
(* -1 y)
(* y (pow (sqrt -1) 2))
(* y (+ (/ 1 y) (pow (sqrt -1) 2)))
(* (pow y 2) (+ (* x (pow (sqrt -1) 2)) (/ x y)))
(* x (* y (pow (sqrt -1) 2)))
(* y (+ (* x (pow (sqrt -1) 2)) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* (sqrt y) (sqrt -1)))
Outputs
(* x (* y (+ 1 (* y (pow (sqrt -1) 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (+ 1 (* y (pow (sqrt -1) 2))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x y)
(*.f64 x y)
(* x (+ y (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) x) y)
(sqrt (* x y))
(sqrt.f64 (*.f64 x y))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (* -1 (* (pow y 2) (pow (sqrt -1) 2))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* (pow y 2) (pow (sqrt -1) 2)))
(*.f64 (*.f64 (neg.f64 y) x) y)
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (* y (pow (sqrt -1) 2)))
(-.f64 #s(literal 1 binary64) y)
(* y (+ x (* x (* y (pow (sqrt -1) 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
x
(+ x (* x (* y (pow (sqrt -1) 2))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* (sqrt y) (sqrt -1))
(*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal -1 binary64)))
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 y)
(neg.f64 y)
(* y (pow (sqrt -1) 2))
(neg.f64 y)
(* y (+ (/ 1 y) (pow (sqrt -1) 2)))
(-.f64 #s(literal 1 binary64) y)
(* (pow y 2) (+ (* x (pow (sqrt -1) 2)) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) x)
(* y (+ (* x (pow (sqrt -1) 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* (sqrt y) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 y)) (sqrt.f64 #s(literal -1 binary64)))

rewrite179.0ms (3.7%)

Memory
3.5MiB live, 236.8MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01378
02547
19847
264340
3713440
0805037
Stop Event
iter limit
node limit
iter limit
Counts
10 → 743
Calls
Call 1
Inputs
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x) y)
(*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x)
(sqrt.f64 (neg.f64 y))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(fma.f64 y x (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (neg.f64 y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (neg.f64 y))
(sqrt.f64 (*.f64 x y))
(neg.f64 y)
(*.f64 x y)
Outputs
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (+.f64 #s(literal 1 binary64) (sqrt.f64 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))))) (*.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))) (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (-.f64 (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (sqrt.f64 y))) (-.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (-.f64 y #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(neg.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (-.f64 y #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) #s(literal 1 binary64))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x y)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x y)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x y)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x y))) (-.f64 y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 x y))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 x y x) y))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
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(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (fma.f64 x y x) y)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 x y x) y)))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 x y x) y)) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (fma.f64 x y x) y)))
(-.f64 (*.f64 (*.f64 x y) y) (*.f64 x y))
(-.f64 (*.f64 x y) (*.f64 (*.f64 x y) y))
(+.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 x y)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x y)))
(+.f64 (*.f64 (*.f64 x y) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (*.f64 (*.f64 x y) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x y) #s(literal 1 binary64)) (*.f64 (*.f64 x y) y))
(+.f64 (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (fma.f64 x y x) y)) (/.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) (*.f64 (fma.f64 x y x) y)))
(+.f64 (*.f64 (*.f64 x y) y) (*.f64 (*.f64 x y) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 x y) y) (*.f64 x y))
(+.f64 (*.f64 x y) (*.f64 (*.f64 x y) y))
(*.f64 (fabs.f64 x) (*.f64 y y))
(*.f64 (sqrt.f64 (*.f64 y (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)))) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (*.f64 y (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 x))
(*.f64 (*.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 y (*.f64 x (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (neg.f64 x) (*.f64 y y))
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 y (*.f64 y (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))))
(*.f64 (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 y y) (fabs.f64 x))
(*.f64 (*.f64 y y) (neg.f64 x))
(*.f64 (*.f64 y y) x)
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) y))
(*.f64 (sqrt.f64 x) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (sqrt.f64 x) (fabs.f64 (sqrt.f64 (*.f64 y (*.f64 x (pow.f64 y #s(literal 3 binary64)))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 y (*.f64 x (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) (sqrt.f64 x)))
(*.f64 (*.f64 x y) y)
(*.f64 x (*.f64 y y))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))
(*.f64 (sqrt.f64 y) (*.f64 x (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 y (*.f64 x y))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (*.f64 x y) y) #s(literal 1 binary64))
(neg.f64 (*.f64 (*.f64 x y) y))
(sqrt.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 4 binary64)))
(fabs.f64 (*.f64 (*.f64 x y) y))
(exp.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 (*.f64 x y) y)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 (*.f64 x y) y))) (sinh.f64 (log.f64 (*.f64 (*.f64 x y) y))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 y))
(*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) x)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (pow.f64 (*.f64 (*.f64 x y) x) #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (*.f64 (*.f64 x y) y) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 y) x) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x y) y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (*.f64 (*.f64 x y) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (pow.f64 (*.f64 x x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/2 binary64))
(neg.f64 (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(fabs.f64 (sqrt.f64 (*.f64 x y)))
(exp.f64 (/.f64 (log.f64 (*.f64 x y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 x y))))
(+.f64 (cosh.f64 (/.f64 (log.f64 (*.f64 x y)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (log.f64 (*.f64 x y)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (*.f64 x y)))) (sinh.f64 (log.f64 (sqrt.f64 (*.f64 x y)))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (sqrt.f64 y) (sqrt.f64 y))
(*.f64 y #s(literal -1 binary64))
(*.f64 y #s(literal 1 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 1 binary64))
(neg.f64 y)
(sqrt.f64 (*.f64 y y))
(fabs.f64 y)
(exp.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 y))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 y)) (sinh.f64 (log.f64 y)))
y
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(*.f64 (fabs.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(*.f64 (fabs.f64 x) y)
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (*.f64 (sqrt.f64 y) x) #s(literal 1 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(*.f64 (neg.f64 x) y)
(*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 x y)
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y (fabs.f64 x))
(*.f64 y (neg.f64 x))
(*.f64 y x)
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x y)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 x y))) (sinh.f64 (log.f64 (*.f64 x y))))

eval116.0ms (2.4%)

Memory
13.0MiB live, 242.3MiB allocated; 31ms collecting garbage
Compiler

Compiled 11 941 to 1 883 computations (84.2% saved)

prune20.0ms (0.4%)

Memory
-5.2MiB live, 41.4MiB allocated; 4ms collecting garbage
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New6274631
Fresh000
Picked202
Done156
Total6309639
Accuracy
100.0%
Counts
639 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
52.0%
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))))
52.1%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
60.6%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
55.7%
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
94.4%
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
92.6%
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
53.3%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Compiler

Compiled 117 to 79 computations (32.5% saved)

simplify118.0ms (2.5%)

Memory
0.8MiB live, 152.1MiB allocated; 58ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
cost-diff3
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))))
cost-diff10
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))))
cost-diff0
(sqrt.f64 (*.f64 x y))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))
cost-diff6
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
cost-diff0
(*.f64 (sqrt.f64 x) y)
cost-diff0
(*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(sqrt.f64 x)
cost-diff4
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
cost-diff0
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
cost-diff0
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
026168
040139
180137
2186136
3410133
41132133
54074133
65730133
77886133
08804133
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
(sqrt.f64 x)
x
(*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (sqrt.f64 x) y)
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(*.f64 x y)
x
y
#s(literal 1/4 binary64)
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 x y))
Outputs
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(sqrt.f64 x)
x
(*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 (sqrt.f64 x) y)
y
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(*.f64 x y)
x
y
#s(literal 1/4 binary64)
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
(sqrt.f64 (*.f64 x y))

localize75.0ms (1.6%)

Memory
21.4MiB live, 167.5MiB allocated; 12ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))))
accuracy0.1171875
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))))
accuracy5.692910160264489
(sqrt.f64 (*.f64 x y))
accuracy5.782809934627142
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
accuracy0.0
(*.f64 x y)
accuracy0.05078125
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))
accuracy0.12109375
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
accuracy5.692910160264489
(sqrt.f64 (*.f64 x y))
accuracy0.0
(sqrt.f64 x)
accuracy0.03125
(*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y))
accuracy0.09375
(*.f64 (sqrt.f64 x) y)
accuracy1.2338548211799205
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy1.639421752394453
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
Samples
34.0ms121×0valid
23.0ms135×0invalid
Compiler

Compiled 162 to 25 computations (84.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 24.0ms (70.4% of total)
ival-sqrt: 3.0ms (8.8% of total)
ival-pow: 3.0ms (8.8% of total)
ival-add: 1.0ms (2.9% of total)
ival-sub: 1.0ms (2.9% of total)
ival-neg: 1.0ms (2.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series379.0ms (7.9%)

Memory
-13.9MiB live, 311.7MiB allocated; 77ms collecting garbage
Counts
15 → 52
Calls
Call 1
Inputs
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
(sqrt.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (sqrt.f64 x) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(*.f64 x y)
Outputs
(* x (+ y (* -1 (pow y 2))))
(* x (* y (- 1 y)))
(sqrt x)
(* (sqrt x) (* y (- 1 y)))
(* (sqrt x) y)
(* (sqrt (* x y)) (- 1 y))
(sqrt (* x y))
(* (exp (* 1/4 (+ (log (pow y 3)) (* 3 (log x))))) (- 1 y))
(exp (* 1/4 (+ (log x) (log y))))
(* x y)
(* (exp (* 1/4 (+ (log (pow y 3)) (* -3 (log (/ 1 x)))))) (- 1 y))
(exp (* 1/4 (+ (log y) (* -1 (log (/ 1 x))))))
(* -1 (* x (+ (* -1 y) (* -1 (* (pow y 2) (pow (sqrt -1) 2))))))
(* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* y (* (pow (sqrt -1) 2) (- 1 y)))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* (exp (* 1/4 (+ (log (* -1 (pow y 3))) (* -3 (log (/ -1 x)))))) (* (sqrt -1) (- 1 y)))
(exp (* 1/4 (+ (log (* -1 y)) (* -1 (log (/ -1 x))))))
(* y (+ x (* -1 (* x y))))
y
(* y (+ 1 (* -1 y)))
1
(+ 1 (* -1 y))
(* y (+ (sqrt x) (* -1 (* (sqrt x) y))))
(+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3)))))
(exp (* 1/4 (+ (log (pow x 3)) (* 3 (log y)))))
(+ (exp (* 1/4 (+ (log (pow x 3)) (* 3 (log y))))) (* -1 (* y (exp (* 1/4 (+ (log (pow x 3)) (* 3 (log y))))))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (* (sqrt x) (pow y 2)))
(* (pow y 2) (+ (* -1 (sqrt x)) (* (sqrt x) (/ 1 y))))
(* -1 (sqrt (* x (pow y 3))))
(* (pow y 2) (+ (sqrt (/ x (pow y 3))) (* -1 (sqrt (/ x y)))))
(* -1 (* y (exp (* 1/4 (+ (log (pow x 3)) (* -3 (log (/ 1 y))))))))
(* y (+ (* -1 (exp (* 1/4 (+ (log (pow x 3)) (* -3 (log (/ 1 y))))))) (/ (exp (* 1/4 (+ (log (pow x 3)) (* -3 (log (/ 1 y)))))) y)))
(exp (* 1/4 (+ (log x) (* -1 (log (/ 1 y))))))
(* x (* (pow y 2) (pow (sqrt -1) 2)))
(* (pow y 2) (+ (* x (pow (sqrt -1) 2)) (/ x y)))
(* -1 (* y (- 1 (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2))))
(* (sqrt (* x (pow y 3))) (pow (sqrt -1) 2))
(* (pow y 2) (+ (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))
(* -1 (* y (* (exp (* 1/4 (+ (log (* -1 (pow x 3))) (* -3 (log (/ -1 y)))))) (sqrt -1))))
(* -1 (* y (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* -1 (pow x 3))) (* -3 (log (/ -1 y)))))) (sqrt -1)) y)) (* (exp (* 1/4 (+ (log (* -1 (pow x 3))) (* -3 (log (/ -1 y)))))) (sqrt -1)))))
(exp (* 1/4 (+ (log (* -1 x)) (* -1 (log (/ -1 y))))))
Calls

6 calls:

TimeVariablePointExpression
107.0ms
x
@inf
((+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (* (sqrt x) (* (* (sqrt x) y) (- 1 y))) (sqrt x) (* (* (sqrt x) y) (- 1 y)) (* (sqrt x) y) (* (* (- 1 y) (sqrt (* x y))) (sqrt (* x y))) (* (- 1 y) (sqrt (* x y))) (sqrt (* x y)) (* (pow (* x y) 1/4) (* (pow (* x y) 1/4) (* (- 1 y) (sqrt (* x y))))) (* (pow (* x y) 1/4) (* (- 1 y) (sqrt (* x y)))) (pow (* x y) 1/4) (* x y))
105.0ms
y
@-inf
((+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (* (sqrt x) (* (* (sqrt x) y) (- 1 y))) (sqrt x) (* (* (sqrt x) y) (- 1 y)) (* (sqrt x) y) (* (* (- 1 y) (sqrt (* x y))) (sqrt (* x y))) (* (- 1 y) (sqrt (* x y))) (sqrt (* x y)) (* (pow (* x y) 1/4) (* (pow (* x y) 1/4) (* (- 1 y) (sqrt (* x y))))) (* (pow (* x y) 1/4) (* (- 1 y) (sqrt (* x y)))) (pow (* x y) 1/4) (* x y))
60.0ms
x
@0
((+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (* (sqrt x) (* (* (sqrt x) y) (- 1 y))) (sqrt x) (* (* (sqrt x) y) (- 1 y)) (* (sqrt x) y) (* (* (- 1 y) (sqrt (* x y))) (sqrt (* x y))) (* (- 1 y) (sqrt (* x y))) (sqrt (* x y)) (* (pow (* x y) 1/4) (* (pow (* x y) 1/4) (* (- 1 y) (sqrt (* x y))))) (* (pow (* x y) 1/4) (* (- 1 y) (sqrt (* x y)))) (pow (* x y) 1/4) (* x y))
54.0ms
x
@-inf
((+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (* (sqrt x) (* (* (sqrt x) y) (- 1 y))) (sqrt x) (* (* (sqrt x) y) (- 1 y)) (* (sqrt x) y) (* (* (- 1 y) (sqrt (* x y))) (sqrt (* x y))) (* (- 1 y) (sqrt (* x y))) (sqrt (* x y)) (* (pow (* x y) 1/4) (* (pow (* x y) 1/4) (* (- 1 y) (sqrt (* x y))))) (* (pow (* x y) 1/4) (* (- 1 y) (sqrt (* x y)))) (pow (* x y) 1/4) (* x y))
40.0ms
y
@0
((+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (* (sqrt x) (* (* (sqrt x) y) (- 1 y))) (sqrt x) (* (* (sqrt x) y) (- 1 y)) (* (sqrt x) y) (* (* (- 1 y) (sqrt (* x y))) (sqrt (* x y))) (* (- 1 y) (sqrt (* x y))) (sqrt (* x y)) (* (pow (* x y) 1/4) (* (pow (* x y) 1/4) (* (- 1 y) (sqrt (* x y))))) (* (pow (* x y) 1/4) (* (- 1 y) (sqrt (* x y)))) (pow (* x y) 1/4) (* x y))

simplify115.0ms (2.4%)

Memory
13.6MiB live, 142.1MiB allocated; 29ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178508
1613490
21922435
35034409
08266407
Stop Event
iter limit
node limit
Counts
52 → 51
Calls
Call 1
Inputs
(* x (+ y (* -1 (pow y 2))))
(* x (* y (- 1 y)))
(sqrt x)
(* (sqrt x) (* y (- 1 y)))
(* (sqrt x) y)
(* (sqrt (* x y)) (- 1 y))
(sqrt (* x y))
(* (exp (* 1/4 (+ (log (pow y 3)) (* 3 (log x))))) (- 1 y))
(exp (* 1/4 (+ (log x) (log y))))
(* x y)
(* (exp (* 1/4 (+ (log (pow y 3)) (* -3 (log (/ 1 x)))))) (- 1 y))
(exp (* 1/4 (+ (log y) (* -1 (log (/ 1 x))))))
(* -1 (* x (+ (* -1 y) (* -1 (* (pow y 2) (pow (sqrt -1) 2))))))
(* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y)))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (* y (* (pow (sqrt -1) 2) (- 1 y)))))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(* (exp (* 1/4 (+ (log (* -1 (pow y 3))) (* -3 (log (/ -1 x)))))) (* (sqrt -1) (- 1 y)))
(exp (* 1/4 (+ (log (* -1 y)) (* -1 (log (/ -1 x))))))
(* y (+ x (* -1 (* x y))))
y
(* y (+ 1 (* -1 y)))
1
(+ 1 (* -1 y))
(* y (+ (sqrt x) (* -1 (* (sqrt x) y))))
(+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3)))))
(exp (* 1/4 (+ (log (pow x 3)) (* 3 (log y)))))
(+ (exp (* 1/4 (+ (log (pow x 3)) (* 3 (log y))))) (* -1 (* y (exp (* 1/4 (+ (log (pow x 3)) (* 3 (log y))))))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (* (sqrt x) (pow y 2)))
(* (pow y 2) (+ (* -1 (sqrt x)) (* (sqrt x) (/ 1 y))))
(* -1 (sqrt (* x (pow y 3))))
(* (pow y 2) (+ (sqrt (/ x (pow y 3))) (* -1 (sqrt (/ x y)))))
(* -1 (* y (exp (* 1/4 (+ (log (pow x 3)) (* -3 (log (/ 1 y))))))))
(* y (+ (* -1 (exp (* 1/4 (+ (log (pow x 3)) (* -3 (log (/ 1 y))))))) (/ (exp (* 1/4 (+ (log (pow x 3)) (* -3 (log (/ 1 y)))))) y)))
(exp (* 1/4 (+ (log x) (* -1 (log (/ 1 y))))))
(* x (* (pow y 2) (pow (sqrt -1) 2)))
(* (pow y 2) (+ (* x (pow (sqrt -1) 2)) (/ x y)))
(* -1 (* y (- 1 (/ 1 y))))
(* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2))))
(* (sqrt (* x (pow y 3))) (pow (sqrt -1) 2))
(* (pow y 2) (+ (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))
(* -1 (* y (* (exp (* 1/4 (+ (log (* -1 (pow x 3))) (* -3 (log (/ -1 y)))))) (sqrt -1))))
(* -1 (* y (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* -1 (pow x 3))) (* -3 (log (/ -1 y)))))) (sqrt -1)) y)) (* (exp (* 1/4 (+ (log (* -1 (pow x 3))) (* -3 (log (/ -1 y)))))) (sqrt -1)))))
(exp (* 1/4 (+ (log (* -1 x)) (* -1 (log (/ -1 y))))))
Outputs
(* x (+ y (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(sqrt x)
(sqrt.f64 x)
(* (sqrt x) (* y (- 1 y)))
(*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y))
(* (sqrt x) y)
(*.f64 (sqrt.f64 x) y)
(* (sqrt (* x y)) (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))
(sqrt (* x y))
(sqrt.f64 (*.f64 x y))
(* (exp (* 1/4 (+ (log (pow y 3)) (* 3 (log x))))) (- 1 y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64))) (-.f64 #s(literal 1 binary64) y))
(exp (* 1/4 (+ (log x) (log y))))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(* x y)
(*.f64 x y)
(* (exp (* 1/4 (+ (log (pow y 3)) (* -3 (log (/ 1 x)))))) (- 1 y))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64))) (-.f64 #s(literal 1 binary64) y))
(exp (* 1/4 (+ (log y) (* -1 (log (/ 1 x))))))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(* -1 (* x (+ (* -1 y) (* -1 (* (pow y 2) (pow (sqrt -1) 2))))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (* y (* (pow (sqrt -1) 2) (- 1 y)))))
(*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(*.f64 (sqrt.f64 x) y)
(* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(sqrt.f64 (*.f64 x y))
(* (exp (* 1/4 (+ (log (* -1 (pow y 3))) (* -3 (log (/ -1 x)))))) (* (sqrt -1) (- 1 y)))
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3/4 binary64)) (pow.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1/4 binary64))))
(exp (* 1/4 (+ (log (* -1 y)) (* -1 (log (/ -1 x))))))
(pow.f64 (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* y (+ (sqrt x) (* -1 (* (sqrt x) y))))
(*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y))
(+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3)))))
(-.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(exp (* 1/4 (+ (log (pow x 3)) (* 3 (log y)))))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64)))
(+ (exp (* 1/4 (+ (log (pow x 3)) (* 3 (log y))))) (* -1 (* y (exp (* 1/4 (+ (log (pow x 3)) (* 3 (log y))))))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64))) (-.f64 #s(literal 1 binary64) y))
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (expm1.f64 (neg.f64 (log.f64 y))) (*.f64 y y))
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(*.f64 (expm1.f64 (neg.f64 (log.f64 y))) y)
(* -1 (* (sqrt x) (pow y 2)))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 y y))
(* (pow y 2) (+ (* -1 (sqrt x)) (* (sqrt x) (/ 1 y))))
(*.f64 (*.f64 (-.f64 (/.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y) y)
(* -1 (sqrt (* x (pow y 3))))
(neg.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(* (pow y 2) (+ (sqrt (/ x (pow y 3))) (* -1 (sqrt (/ x y)))))
(*.f64 (*.f64 (-.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 x y))) y) y)
(* -1 (* y (exp (* 1/4 (+ (log (pow x 3)) (* -3 (log (/ 1 y))))))))
(*.f64 (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 y #s(literal 3/4 binary64))) (neg.f64 y))
(* y (+ (* -1 (exp (* 1/4 (+ (log (pow x 3)) (* -3 (log (/ 1 y))))))) (/ (exp (* 1/4 (+ (log (pow x 3)) (* -3 (log (/ 1 y)))))) y)))
(*.f64 (fma.f64 (neg.f64 (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (/.f64 (pow.f64 y #s(literal 3/4 binary64)) y))) y)
(exp (* 1/4 (+ (log x) (* -1 (log (/ 1 y))))))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(* x (* (pow y 2) (pow (sqrt -1) 2)))
(*.f64 (*.f64 (neg.f64 y) x) y)
(* (pow y 2) (+ (* x (pow (sqrt -1) 2)) (/ x y)))
(*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)
(* -1 (* y (- 1 (/ 1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) (neg.f64 y))
(* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2))))
(*.f64 (*.f64 (-.f64 (/.f64 x y) x) y) y)
(* (sqrt (* x (pow y 3))) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(* (pow y 2) (+ (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))
(*.f64 (*.f64 (-.f64 (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 x y))) y) y)
(* -1 (* y (* (exp (* 1/4 (+ (log (* -1 (pow x 3))) (* -3 (log (/ -1 y)))))) (sqrt -1))))
(*.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) y) (*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3/4 binary64))))
(* -1 (* y (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* -1 (pow x 3))) (* -3 (log (/ -1 y)))))) (sqrt -1)) y)) (* (exp (* 1/4 (+ (log (* -1 (pow x 3))) (* -3 (log (/ -1 y)))))) (sqrt -1)))))
(*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3/4 binary64))) (-.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) y) (sqrt.f64 #s(literal -1 binary64)))) y)
(exp (* 1/4 (+ (log (* -1 x)) (* -1 (log (/ -1 y))))))
(pow.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) #s(literal 1/4 binary64))

rewrite354.0ms (7.4%)

Memory
-6.2MiB live, 332.5MiB allocated; 57ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026131
040102
1129100
269694
3651394
0852688
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 510
Calls
Call 1
Inputs
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
(sqrt.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (sqrt.f64 x) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(*.f64 x y)
Outputs
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 x (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y) x) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y) x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y)) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (*.f64 x (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))) (pow.f64 (*.f64 x y) #s(literal 1/16 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) y))) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))) (sqrt.f64 y))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 3/8 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y))) (sqrt.f64 y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 (*.f64 x x) y))) (sqrt.f64 y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) y)
(*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y))) y)
(*.f64 (/.f64 (*.f64 x (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x (fma.f64 y y y)) (*.f64 x y)))
(*.f64 (/.f64 (*.f64 x (fma.f64 y y y)) (sqrt.f64 (*.f64 x y))) (/.f64 (*.f64 x (fma.f64 y y y)) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 3/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (neg.f64 (sqrt.f64 y)))
(*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (sqrt.f64 y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (*.f64 (sqrt.f64 y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))) (pow.f64 (*.f64 x y) #s(literal 3/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))) (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) y))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3/8 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y))))
(*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/8 binary64)) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 (*.f64 x y) (+.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x (fma.f64 y y y)) (/.f64 (*.f64 x (fma.f64 y y y)) (*.f64 x (fma.f64 y y y))))
(*.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 x y) (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(*.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 (*.f64 x (fma.f64 y y y)) (fma.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 y) (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 3/4 binary64))))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y)))
(*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 y))))
(*.f64 (sqrt.f64 x) (-.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 y)) (*.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 x) (fma.f64 (sqrt.f64 x) y (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 y))))
(*.f64 (sqrt.f64 x) (fma.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 y) (*.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))
(*.f64 (neg.f64 y) (-.f64 (*.f64 x y) x))
(*.f64 x (-.f64 (*.f64 (neg.f64 y) y) (neg.f64 y)))
(*.f64 x (-.f64 (*.f64 (neg.f64 y) y) y))
(*.f64 x (+.f64 y (*.f64 (neg.f64 y) y)))
(*.f64 x (fma.f64 (neg.f64 y) y y))
(*.f64 x (-.f64 y (*.f64 y y)))
(*.f64 x (fma.f64 y y y))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(*.f64 y (-.f64 x (*.f64 x y)))
(*.f64 y (-.f64 (*.f64 x y) x))
(*.f64 y (-.f64 (*.f64 x y) (neg.f64 x)))
(*.f64 y (fma.f64 x y x))
(*.f64 y (+.f64 x (*.f64 x y)))
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))
(/.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (sqrt.f64 (*.f64 x y))) (*.f64 (sqrt.f64 (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x y) #s(literal 3/4 binary64))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) (pow.f64 (*.f64 x y) #s(literal 3/4 binary64))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 x y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 x y)) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y) (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y) (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (sqrt.f64 (*.f64 x y)))) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (*.f64 x y)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64))))
(/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) y)) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(/.f64 (*.f64 x (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (sqrt.f64 x) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) y) (sqrt.f64 x))) (+.f64 #s(literal 1 binary64) y))
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(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/16 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/16 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)))))
(*.f64 (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64))) (sqrt.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))) (sqrt.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/8 binary64))) (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64))) (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 1/4 binary64))) (sqrt.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64)))))
(*.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (neg.f64 (sqrt.f64 y))))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 1/8 binary64)) (pow.f64 y #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/8 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/16 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64)) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 y #s(literal 1/8 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (log.f64 (*.f64 x y)))
(pow.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x y) #s(literal 1/4 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))) (-.f64 (*.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))) (*.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))))
(neg.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(sqrt.f64 (sqrt.f64 (*.f64 x y)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(fabs.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 1/4 binary64))) (log.f64 (*.f64 x y))))
(exp.f64 (*.f64 (log.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64))) #s(literal 1/16 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) #s(literal 1 binary64)))
(exp.f64 (/.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/8 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/8 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(+.f64 (cosh.f64 (/.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))) (sinh.f64 (/.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/8 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/8 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/8 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 x y))) #s(literal 1/2 binary64))))
(+.f64 (sinh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))) (cosh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))))
(*.f64 (*.f64 (*.f64 (sqrt.f64 x) y) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y))
(*.f64 (*.f64 x #s(literal 1 binary64)) y)
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 3/8 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (neg.f64 (sqrt.f64 x))) (sqrt.f64 y))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 1/8 binary64))) (pow.f64 (*.f64 x y) #s(literal 3/8 binary64)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (*.f64 x x) y))) (sqrt.f64 y))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (*.f64 x x) y))) (sqrt.f64 y))
(*.f64 (fabs.f64 x) y)
(*.f64 (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 2 binary64)) y)
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (sqrt.f64 y))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) y) (sqrt.f64 x))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))
(*.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 x) y))
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 x) y)
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 x x) y)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 3/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) (neg.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 x) (fabs.f64 (*.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 x) (pow.f64 (*.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 (neg.f64 y) x)
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x (pow.f64 (neg.f64 (sqrt.f64 y)) #s(literal 2 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 x y)
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y (fabs.f64 x))
(*.f64 y (neg.f64 x))
(*.f64 y x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (*.f64 x y))))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x y))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sqrt.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64))) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x y)))
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (*.f64 x y))) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (log.f64 (*.f64 x y))) (sinh.f64 (log.f64 (*.f64 x y))))

eval210.0ms (4.4%)

Memory
21.7MiB live, 307.6MiB allocated; 40ms collecting garbage
Compiler

Compiled 43 323 to 4 061 computations (90.6% saved)

prune30.0ms (0.6%)

Memory
1.4MiB live, 90.1MiB allocated; 8ms collecting garbage
Pruning

10 alts after pruning (4 fresh and 6 done)

PrunedKeptTotal
New1 59841 602
Fresh000
Picked314
Done055
Total1 601101 611
Accuracy
100.0%
Counts
1 611 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
34.3%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
60.6%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
55.7%
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
44.9%
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 y) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y))))
55.4%
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 y) (neg.f64 y))))
92.6%
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
99.4%
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 x) y)))
53.3%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Compiler

Compiled 392 to 168 computations (57.1% saved)

regimes16.0ms (0.3%)

Memory
-18.4MiB live, 28.2MiB allocated; 2ms collecting garbage
Counts
17 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) #s(approx (- 1 y) (neg.f64 y))))
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) y)) (*.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)) x) y)
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y))) (sqrt.f64 (*.f64 x y)))
(fma.f64 y x (*.f64 (*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 (*.f64 x y))) (neg.f64 y)))
(*.f64 (sqrt.f64 x) (*.f64 (*.f64 (sqrt.f64 y) (-.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y))))
(*.f64 (*.f64 x y) (/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 y y))) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) y))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (sqrt.f64 (*.f64 x y)))))
Outputs
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
Calls

3 calls:

5.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
5.0ms
x
5.0ms
y
Results
AccuracySegmentsBranch
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
99.9%1x
99.9%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated; 0ms collecting garbage
Counts
6 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
99.9%1x
99.9%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory
9.8MiB live, 9.8MiB allocated; 0ms collecting garbage
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
99.9%1x
99.9%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
Outputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
98.6%2(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
96.0%2x
99.9%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes53.0ms (1.1%)

Memory
-59.1MiB live, 8.8MiB allocated; 16ms collecting garbage
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
Outputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
Calls

3 calls:

50.0ms
x
2.0ms
y
1.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
71.5%2x
97.4%3y
87.5%2(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Outputs
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Calls

1 calls:

1.0ms
y
Results
AccuracySegmentsBranch
90.1%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
55.7%1x
55.7%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
55.7%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-7.145740858895455e+166
-2.5475964891635285e+162
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch24.0ms (0.5%)

Memory
25.9MiB live, 25.9MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
0.1796174915968302
54488.592788945105
10.0ms
-3454.3018676884226
-0.18438307257062414
Samples
11.0ms272×0valid
Compiler

Compiled 333 to 317 computations (4.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (73.7% of total)
ival-sub: 1.0ms (18.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated; 0ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.1796174915968302
54488.592788945105
1.0ms
-3454.3018676884226
-0.18438307257062414
Compiler

Compiled 401 to 351 computations (12.5% saved)

simplify56.0ms (1.2%)

Memory
-14.9MiB live, 30.9MiB allocated; 4ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
041130
176128
2165127
3349127
4544127
5798127
61257127
71641127
81772127
91827127
101827127
111827127
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))))
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
Outputs
(fma.f64 y x (*.f64 (*.f64 y x) (neg.f64 y)))
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -50000000000000001930449714370975720139701025745675219477211914784288695508246371335098695877271585171777875451431577515195663644768354254411583398686815316200363393024 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)))
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (+ (* y x) (* (* (sqrt (* x y)) (sqrt (* x y))) (neg y))) (*.f64 (*.f64 (neg.f64 y) y) x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))

derivations598.0ms (12.4%)

Memory
-1.0MiB live, 463.1MiB allocated; 50ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057215
1207129
2586129
31808129
46276129
08270129
02192
03394
19392
245790
3429887
0900484
02745
17142
215342
344042
4135842
5378842
6568742
7685442
8777242
0809542
0613
0913
12913
213913
3102413
0948812
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 145 to 41 computations (71.7% saved)

preprocess47.0ms (1%)

Memory
18.8MiB live, 74.7MiB allocated; 6ms collecting garbage
Remove

(negabs x)

Compiler

Compiled 358 to 130 computations (63.7% saved)

end0.0ms (0%)

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

Profiling

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