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

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
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)

sample832.0ms (16.3%)

Memory
11.3MiB live, 646.8MiB allocated
Samples
636.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 361.0ms
ival-mult: 250.0ms (69.2% of total)
ival-sub: 98.0ms (27.1% of total)
ival-true: 6.0ms (1.7% of total)
exact: 5.0ms (1.4% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain58.0ms (1.1%)

Memory
2.7MiB live, 118.6MiB allocated
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 59 to 28 computations (52.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 6.0ms (61.6% of total)
ival-sub: 3.0ms (30.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess60.0ms (1.2%)

Memory
2.4MiB live, 85.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
15637
222335
377935
4139235
5201335
6201535
7201535
067
097
1177
2407
3877
41887
52657
63717
75607
87257
97667
07667
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
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)

simplify21.0ms (0.4%)

Memory
-11.8MiB live, 26.5MiB allocated
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
11716
24016
38716
418816
526516
637116
756016
872516
976616
076616
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)

localize19.0ms (0.4%)

Memory
-8.5MiB live, 29.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0
(*.f64 x y)
accuracy0.05859375
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Samples
14.0ms256×0valid
Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 3.0ms (61.9% of total)
ival-sub: 1.0ms (20.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
10.5MiB live, 10.5MiB allocated
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))

simplify141.0ms (2.8%)

Memory
-18.5MiB live, 104.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02742
17042
216442
329542
467442
5209742
6431342
7577442
8663942
9721842
10784342
0835142
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) y) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
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) y) x)
(* -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)

rewrite152.0ms (3%)

Memory
20.2MiB live, 168.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13013
216513
3135413
0957912
Stop Event
iter limit
node limit
iter limit
Counts
3 → 425
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 y x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (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 (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #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 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (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 (-.f64 #s(literal -1 binary64) (fma.f64 y y 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 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 y (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))))) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 y (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))))) (/.f64 x (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 x (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 x (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 y x) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (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)) (-.f64 #s(literal -1 binary64) (fma.f64 y y 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 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 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 (*.f64 y x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (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))) (-.f64 #s(literal -1 binary64) (fma.f64 y y 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 #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 y (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (*.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) 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))) (-.f64 #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 (fma.f64 y y #s(literal 1 binary64))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) (pow.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (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) (-.f64 #s(literal -1 binary64) (fma.f64 y y 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 x #s(literal 1 binary64)) (fma.f64 y y y))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))))) (/.f64 (*.f64 y x) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (*.f64 y x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
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(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal 1 binary64))
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(fma.f64 (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
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(fma.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal -1 binary64) (fma.f64 y y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(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 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 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(-.f64 (/.f64 (pow.f64 (-.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 (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)) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))))
(-.f64 (/.f64 (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 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)) (+.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)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))))) (/.f64 (*.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (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)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))))))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(-.f64 (/.f64 (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 2 binary64))) (/.f64 (*.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) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (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))) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (*.f64 (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))) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.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 (pow.f64 y #s(literal 6 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 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 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 (pow.f64 y #s(literal 9 binary64)) (+.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 0 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(-.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #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 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 y))
(-.f64 #s(literal 1 binary64) y)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y)))))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))

eval61.0ms (1.2%)

Memory
-2.4MiB live, 82.0MiB allocated
Compiler

Compiled 10 715 to 1 285 computations (88% saved)

prune11.0ms (0.2%)

Memory
-13.6MiB live, 24.8MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New4256431
Fresh000
Picked011
Done000
Total4257432
Accuracy
100.0%
Counts
432 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
99.1%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x)))
99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
61.5%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
57.8%
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
56.7%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Compiler

Compiled 127 to 104 computations (18.1% saved)

simplify65.0ms (1.3%)

Memory
17.1MiB live, 52.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
cost-diff0
(*.f64 y x)
cost-diff6848
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
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
(-.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)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022113
035111
162111
2120111
3196111
4332111
5479111
6745111
7900111
81152111
91585111
101746111
111804111
121808111
131814111
141816111
01816111
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.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
(*.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 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 y x)
y
x
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal -1 binary64)
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (*.f64 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))
(*.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 #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 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 y x)
(*.f64 x y)
y
x
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
#s(literal -1 binary64)

localize61.0ms (1.2%)

Memory
-1.8MiB live, 119.7MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0
(*.f64 y x)
accuracy0.0078125
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
accuracy0.08431625976844201
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
accuracy0.0
(*.f64 x y)
accuracy0.0
(neg.f64 y)
accuracy0.05859375
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy33.096810502379725
#s(approx (- 1 y) (neg.f64 y))
accuracy0.0
(*.f64 (neg.f64 y) y)
accuracy0.0
(neg.f64 y)
accuracy7.608457963778918
(*.f64 (*.f64 (neg.f64 y) y) x)
accuracy24.582977502578785
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
accuracy0.0
(*.f64 x y)
accuracy0.05859375
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
accuracy30.08271111295935
#s(approx (- 1 y) #s(literal 1 binary64))
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy0.06640625
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Samples
46.0ms256×0valid
Compiler

Compiled 211 to 40 computations (81% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-mult: 18.0ms (69.5% of total)
ival-pow: 3.0ms (11.6% of total)
ival-sub: 2.0ms (7.7% of total)
ival-div: 1.0ms (3.9% of total)
ival-neg: 1.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.2%)

Memory
-5.0MiB live, 34.4MiB allocated
Counts
15 → 26
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) 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)
(neg.f64 y)
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 y x)
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
Outputs
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x y)
(* -1 (* x (pow y 2)))
(* y (+ x (* -1 (* x y))))
x
(+ x (* -1 (* x y)))
1
(+ 1 (* -1 y))
(* -1 (pow y 2))
(* -1 y)
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@0
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (- 1 y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1))
2.0ms
x
@0
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (- 1 y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1))
2.0ms
y
@-inf
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (- 1 y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1))
2.0ms
y
@inf
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (- 1 y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1))
1.0ms
x
@-inf
((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (- 1 y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1))

simplify118.0ms (2.3%)

Memory
12.4MiB live, 145.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058163
1170154
2416152
31022152
42591152
55213152
67334152
08139150
Stop Event
iter limit
node limit
Counts
26 → 25
Calls
Call 1
Inputs
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x y)
(* -1 (* x (pow y 2)))
(* y (+ x (* -1 (* x y))))
x
(+ x (* -1 (* x y)))
1
(+ 1 (* -1 y))
(* -1 (pow y 2))
(* -1 y)
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(/ -1 y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
Outputs
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x y)
(*.f64 x y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
x
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 y)))
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y)
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y)

rewrite185.0ms (3.6%)

Memory
0.5MiB live, 194.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02291
03589
19289
237289
3324883
0994278
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 102
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) 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)
(neg.f64 y)
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 y x)
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
Outputs
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 y))))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 y (pow.f64 y #s(literal 4 binary64))) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (fma.f64 y y y))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) y) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64)) (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) x) y)) #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)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.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 y (pow.f64 y #s(literal 4 binary64))) 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 y (pow.f64 y #s(literal 4 binary64))) 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 (fma.f64 x y x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) x)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y))
(*.f64 (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (*.f64 x y) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 y))))
(*.f64 (/.f64 (*.f64 x y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y)) y))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 y (+.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(*.f64 (/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (/.f64 y (+.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 y (-.f64 #s(literal 1 binary64) (fma.f64 y y y))))
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(/.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 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 (neg.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)) y)) (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 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 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 y))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 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 #s(literal -1 binary64) y) (+.f64 #s(literal -1 binary64) (*.f64 y y)))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (sqrt.f64 (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))))
(/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (exp.f64 (neg.f64 (log1p.f64 y))) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))
(neg.f64 (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y y y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)) (*.f64 y (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 y (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 y (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 (fma.f64 y y y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) y (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) y))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 y y y) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 y y y)))
(fma.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(fma.f64 (fma.f64 y y y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(fma.f64 y (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))) (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal -1 binary64) (*.f64 y y))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(-.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 y))) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 y (/.f64 y (+.f64 #s(literal -1 binary64) y))) #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(-.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 y))) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (*.f64 y (/.f64 y (+.f64 #s(literal -1 binary64) y))) (fma.f64 y y #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #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)) (fma.f64 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 (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) #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 6 binary64)) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) (fma.f64 y y #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y 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)))) (/.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(-.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(-.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 y (fma.f64 y y #s(literal 1 binary64))))
(-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log1p.f64 y)) (*.f64 #s(literal 1/2 binary64) (log1p.f64 y))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log1p.f64 y)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 y)))
(+.f64 (*.f64 y (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (*.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 y y y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) y) (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) y))
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 y y y)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 y y y)))
(+.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 y (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 y y y) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64))))

eval183.0ms (3.6%)

Memory
-7.7MiB live, 295.1MiB allocated
Compiler

Compiled 24 013 to 3 322 computations (86.2% saved)

prune215.0ms (4.2%)

Memory
-135.5MiB live, 103.1MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 22231 225
Fresh101
Picked145
Done011
Total1 22481 232
Accuracy
100.0%
Counts
1 232 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
61.5%
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
55.7%
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64)))
99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
61.5%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
57.8%
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
56.7%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Compiler

Compiled 79 to 64 computations (19% saved)

simplify156.0ms (3.1%)

Memory
-14.2MiB live, 62.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(pow.f64 (*.f64 x y) #s(literal -1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff6848
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) y)
cost-diff0
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
cost-diff0
(*.f64 y x)
cost-diff0
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(fma.f64 y y y)
cost-diff0
(*.f64 (fma.f64 y y y) x)
cost-diff0
(pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64))
cost-diff7040
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01886
03086
14884
28481
320081
449481
5102981
6156781
7256281
8383381
9475581
10482881
11483681
12484381
13484581
14487181
15488381
16488381
17488381
0488381
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64)))
#s(literal -1 binary64)
(pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64))
(*.f64 (fma.f64 y y y) x)
(fma.f64 y y y)
y
x
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(*.f64 y x)
y
x
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(pow.f64 (*.f64 x y) #s(literal -1 binary64))
(*.f64 x y)
x
#s(literal -1 binary64)
Outputs
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) y)
#s(literal -1 binary64)
(pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64))
(pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1 binary64))
(*.f64 (fma.f64 y y y) x)
(*.f64 x (fma.f64 y y y))
(fma.f64 y y y)
y
x
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(*.f64 y x)
(*.f64 x y)
y
x
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(pow.f64 (*.f64 x y) #s(literal -1 binary64))
(*.f64 x y)
x
#s(literal -1 binary64)

localize65.0ms (1.3%)

Memory
26.6MiB live, 143.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0
(*.f64 x y)
accuracy0.6206391389882099
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
accuracy0.9048846945625821
(pow.f64 (*.f64 x y) #s(literal -1 binary64))
accuracy0.0
(/.f64 #s(literal -1 binary64) y)
accuracy0.0
(*.f64 y x)
accuracy0.08431625976844201
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
accuracy33.29903635366001
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
accuracy0.0
(fma.f64 y y y)
accuracy0.2862755482339093
(pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64))
accuracy0.6284516389882099
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64)))
accuracy3.119450584915903
(*.f64 (fma.f64 y y y) x)
Samples
54.0ms256×0valid
Compiler

Compiled 170 to 39 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 18.0ms (43.6% of total)
ival-mult: 11.0ms (26.6% of total)
ival-pow: 10.0ms (24.2% of total)
ival-sub: 1.0ms (2.4% of total)
ival-add: 1.0ms (2.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series223.0ms (4.4%)

Memory
-19.5MiB live, 19.5MiB allocated
Counts
12 → 42
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64))
(*.f64 (fma.f64 y y y) x)
(fma.f64 y y y)
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(*.f64 y x)
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(pow.f64 (*.f64 x y) #s(literal -1 binary64))
(*.f64 x y)
Outputs
(* -1 (* x (+ y (pow y 2))))
(/ 1 (* x (+ y (pow y 2))))
(* x (+ y (pow y 2)))
(* x (* y (- 1 y)))
(* x y)
(/ 1 (* x y))
(* -1 (* x y))
(* y (+ (* -1 x) (* -1 (* x y))))
(/ (+ (* -1 (/ y x)) (/ 1 x)) y)
(/ (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x)) y)
(/ (+ (* y (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) y)
(* y (+ x (* x y)))
y
(* y (+ 1 y))
(* y (+ x (* -1 (* x y))))
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(/ -1 y)
(+ 1 (* -1 y))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3))))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x y)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(* -1 y)
(* y (- (/ 1 y) 1))
(/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(* -1 (* y (- 1 (/ 1 y))))
Calls

6 calls:

TimeVariablePointExpression
213.0ms
x
@inf
((/ -1 (pow (* (+ (* y y) y) x) -1)) (pow (* (+ (* y y) y) x) -1) (* (+ (* y y) y) x) (+ (* y y) y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y))
2.0ms
x
@-inf
((/ -1 (pow (* (+ (* y y) y) x) -1)) (pow (* (+ (* y y) y) x) -1) (* (+ (* y y) y) x) (+ (* y y) y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y))
2.0ms
x
@0
((/ -1 (pow (* (+ (* y y) y) x) -1)) (pow (* (+ (* y y) y) x) -1) (* (+ (* y y) y) x) (+ (* y y) y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y))
2.0ms
y
@-inf
((/ -1 (pow (* (+ (* y y) y) x) -1)) (pow (* (+ (* y y) y) x) -1) (* (+ (* y y) y) x) (+ (* y y) y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y))
2.0ms
y
@inf
((/ -1 (pow (* (+ (* y y) y) x) -1)) (pow (* (+ (* y y) y) x) -1) (* (+ (* y y) y) x) (+ (* y y) y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y))

simplify138.0ms (2.7%)

Memory
22.9MiB live, 176.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101383
1290368
2699355
31928341
44617333
08241321
Stop Event
iter limit
node limit
Counts
42 → 41
Calls
Call 1
Inputs
(* -1 (* x (+ y (pow y 2))))
(/ 1 (* x (+ y (pow y 2))))
(* x (+ y (pow y 2)))
(* x (* y (- 1 y)))
(* x y)
(/ 1 (* x y))
(* -1 (* x y))
(* y (+ (* -1 x) (* -1 (* x y))))
(/ (+ (* -1 (/ y x)) (/ 1 x)) y)
(/ (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x)) y)
(/ (+ (* y (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) y)
(* y (+ x (* x y)))
y
(* y (+ 1 y))
(* y (+ x (* -1 (* x y))))
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(/ -1 y)
(+ 1 (* -1 y))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 x) (/ 1 (* x y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3))))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x y)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(* -1 y)
(* y (- (/ 1 y) 1))
(/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(* -1 (* x (+ y (pow y 2))))
(*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))
(/ 1 (* x (+ y (pow y 2))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) y)
(* x (+ y (pow y 2)))
(*.f64 (fma.f64 y y y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x y)
(*.f64 x y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (* -1 (* x y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))
(/ (+ (* -1 (/ y x)) (/ 1 x)) y)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(/ (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x)) y)
(/.f64 (fma.f64 (/.f64 y x) y (/.f64 (-.f64 #s(literal 1 binary64) y) x)) y)
(/ (+ (* y (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) y)
(/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) x)) y)
(* y (+ x (* x y)))
(*.f64 (fma.f64 y y y) x)
y
(* y (+ 1 y))
(fma.f64 y y y)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 y)))
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(+ 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) (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) y)
(/ (- (/ 1 x) (/ 1 (* x y))) (pow y 2))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 y #s(literal 1 binary64)))
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (/ 1 (* x y))) (pow y 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) y) y) (/.f64 #s(literal -1 binary64) x)) y) y)
(/ (- (+ (/ 1 x) (/ 1 (* x (pow y 2)))) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3))))) (pow y 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) y)) (*.f64 y y))
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* (pow y 2) (+ x (/ x y)))
(*.f64 (fma.f64 y y y) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) (pow y 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) y) y) (/.f64 #s(literal -1 binary64) x)) y) y)
(/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) y)) (*.f64 y y))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

rewrite180.0ms (3.5%)

Memory
-18.8MiB live, 172.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01876
03076
112271
267071
3752371
0845671
Stop Event
iter limit
node limit
iter limit
Counts
12 → 1 052
Calls
Call 1
Inputs
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64))
(*.f64 (fma.f64 y y y) x)
(fma.f64 y y y)
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(*.f64 y x)
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(pow.f64 (*.f64 x y) #s(literal -1 binary64))
(*.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 y y y)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x y x)) y)
(*.f64 (neg.f64 (fma.f64 x y x)) y)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (fma.f64 y y y))
(*.f64 (neg.f64 (fma.f64 y y y)) x)
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (neg.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 y y y)) x)
(*.f64 (fma.f64 x y x) (neg.f64 y))
(*.f64 (neg.f64 x) (fma.f64 y y y))
(*.f64 (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 x y))
(*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 x) y))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y x) (neg.f64 y)))
(*.f64 (*.f64 (fma.f64 x y x) (neg.f64 y)) #s(literal 1 binary64))
(*.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1 binary64))
(*.f64 x (neg.f64 (fma.f64 y y y)))
(*.f64 x (*.f64 (fma.f64 y y y) #s(literal -1 binary64)))
(*.f64 (fma.f64 y y y) (*.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 y y y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 y y y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y)))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y))) #s(literal -1 binary64))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/4 binary64))) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 (fma.f64 y y y) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 y y y) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 y y y)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/2 binary64)))) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 y y y))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (fma.f64 y y y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 y y y))) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 x (fma.f64 y y y)) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64))) x)) (*.f64 y (-.f64 y #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64))) x)) (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 y y y)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 y y y) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
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(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 y (fma.f64 y y y))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (exp.f64 (log1p.f64 (*.f64 (neg.f64 y) y))) (exp.f64 (log1p.f64 y)))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (exp.f64 (log1p.f64 (fma.f64 y y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) y) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (neg.f64 (fma.f64 y #s(literal -1 binary64) #s(literal -1 binary64))))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))))
(neg.f64 (-.f64 y #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 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)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(fma.f64 (/.f64 #s(literal 1 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)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.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)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y)))))
(fma.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y)))))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))) #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 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) y)
(exp.f64 (log1p.f64 (neg.f64 y)))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (+.f64 #s(literal 1 binary64) y)))))
(+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 y y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 y y y)))))
(+.f64 (neg.f64 y) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/4 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.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)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) y))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (neg.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 x y)))
(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 -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal -1 binary64))
(/.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/.f64 (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) y)
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64))
(/.f64 (pow.f64 y #s(literal -1 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) y)
(/.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x y)) (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x y)))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (*.f64 x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 (*.f64 x y))))
(*.f64 (*.f64 x #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x #s(literal 1 binary64)) y)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (/.f64 y (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (*.f64 x y) #s(literal 1 binary64))
(*.f64 x (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 x y)
(*.f64 y (*.f64 x #s(literal 1 binary64)))
(*.f64 y (/.f64 x #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(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 -1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/4 binary64))) (pow.f64 (*.f64 x y) #s(literal -1/4 binary64)))
(/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64)))
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) y))
(/.f64 (/.f64 y (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (*.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 (*.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)))
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 x y) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x y) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 (*.f64 x y) #s(literal 1 binary64))
(/.f64 x (pow.f64 y #s(literal -1 binary64)))
(/.f64 y (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) x))
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))
(exp.f64 (log.f64 (*.f64 x y)))

eval151.0ms (3%)

Memory
5.5MiB live, 208.4MiB allocated
Compiler

Compiled 18 280 to 2 868 computations (84.3% saved)

prune17.0ms (0.3%)

Memory
24.9MiB live, 63.3MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New1 02631 029
Fresh000
Picked213
Done055
Total1 02891 037
Accuracy
100.0%
Counts
1 037 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.1%
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
61.5%
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
55.7%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y 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))
61.5%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
57.8%
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
23.2%
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
56.7%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Compiler

Compiled 95 to 75 computations (21.1% saved)

simplify98.0ms (1.9%)

Memory
-8.3MiB live, 30.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x y))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff1088
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
cost-diff0
(fma.f64 y y y)
cost-diff0
(*.f64 x (fma.f64 y y y))
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y)))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y))))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) x)
cost-diff0
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02078
03076
16170
213070
333870
474570
5130470
6211470
7266170
8310870
9331870
10332170
11332270
12332270
13332270
0332270
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y))))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y)))
#s(literal -1 binary64)
(*.f64 x (fma.f64 y y y))
x
(fma.f64 y y y)
y
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
x
Outputs
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
x
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y)))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y y) x))
#s(literal -1 binary64)
(*.f64 x (fma.f64 y y y))
(*.f64 (fma.f64 y y y) x)
x
(fma.f64 y y y)
y
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
x

localize58.0ms (1.1%)

Memory
11.1MiB live, 133.3MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.0
(*.f64 x y)
accuracy0.6206391389882099
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
accuracy0.9087909445625821
(/.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy0.0
(fma.f64 y y y)
accuracy0.2862755482339093
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y)))
accuracy0.6284516389882099
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y))))
accuracy3.119450584915903
(*.f64 x (fma.f64 y y y))
accuracy0.0
(*.f64 (neg.f64 y) x)
accuracy0.0
(neg.f64 y)
accuracy25.405708713788336
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
Samples
47.0ms256×0valid
Compiler

Compiled 159 to 41 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 14.0ms (46.1% of total)
ival-div: 7.0ms (23% of total)
ival-pow: 3.0ms (9.9% of total)
ival-sub: 2.0ms (6.6% of total)
ival-add: 1.0ms (3.3% of total)
ival-neg: 1.0ms (3.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-8.5MiB live, 30.1MiB allocated
Counts
11 → 34
Calls
Call 1
Inputs
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y)))
(*.f64 x (fma.f64 y y y))
(fma.f64 y y y)
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
Outputs
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x y))
(/ -1 (* x (+ y (pow y 2))))
(* x (+ y (pow y 2)))
(* x (* y (- 1 y)))
(/ 1 (* x y))
(* x y)
(* y (+ (* -1 x) (* -1 (* x y))))
(* -1 y)
(/ -1 (* x y))
(/ (- (/ y x) (/ 1 x)) y)
(/ (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y)
(/ (- (* y (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))) (/ 1 x)) y)
(* y (+ x (* x y)))
y
(* y (+ 1 y))
(* y (+ x (* -1 (* x y))))
1
(+ 1 (* -1 y))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(/ -1 (* x (pow y 2)))
(/ (- (/ 1 (* x y)) (/ 1 x)) (pow y 2))
(/ (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3)))) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x y)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(* -1 (* y (- 1 (/ 1 y))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
x
@0
((/ -1 (pow (* (+ (* y y) y) x) -1)) (* (neg y) x) (neg y) (/ 1 (/ -1 (* x (+ (* y y) y)))) (/ -1 (* x (+ (* y y) y))) (* x (+ (* y y) y)) (+ (* y y) y) (/ (- 1 y) (/ 1 (* x y))) (- 1 y) (/ 1 (* x y)) (* x y))
2.0ms
x
@-inf
((/ -1 (pow (* (+ (* y y) y) x) -1)) (* (neg y) x) (neg y) (/ 1 (/ -1 (* x (+ (* y y) y)))) (/ -1 (* x (+ (* y y) y))) (* x (+ (* y y) y)) (+ (* y y) y) (/ (- 1 y) (/ 1 (* x y))) (- 1 y) (/ 1 (* x y)) (* x y))
2.0ms
x
@inf
((/ -1 (pow (* (+ (* y y) y) x) -1)) (* (neg y) x) (neg y) (/ 1 (/ -1 (* x (+ (* y y) y)))) (/ -1 (* x (+ (* y y) y))) (* x (+ (* y y) y)) (+ (* y y) y) (/ (- 1 y) (/ 1 (* x y))) (- 1 y) (/ 1 (* x y)) (* x y))
2.0ms
y
@-inf
((/ -1 (pow (* (+ (* y y) y) x) -1)) (* (neg y) x) (neg y) (/ 1 (/ -1 (* x (+ (* y y) y)))) (/ -1 (* x (+ (* y y) y))) (* x (+ (* y y) y)) (+ (* y y) y) (/ (- 1 y) (/ 1 (* x y))) (- 1 y) (/ 1 (* x y)) (* x y))
1.0ms
y
@inf
((/ -1 (pow (* (+ (* y y) y) x) -1)) (* (neg y) x) (neg y) (/ 1 (/ -1 (* x (+ (* y y) y)))) (/ -1 (* x (+ (* y y) y))) (* x (+ (* y y) y)) (+ (* y y) y) (/ (- 1 y) (/ 1 (* x y))) (- 1 y) (/ 1 (* x y)) (* x y))

simplify145.0ms (2.8%)

Memory
11.7MiB live, 194.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082295
1256290
2608275
31779251
44876237
08177230
Stop Event
iter limit
node limit
Counts
34 → 33
Calls
Call 1
Inputs
(* -1 (* x (+ y (pow y 2))))
(* -1 (* x y))
(/ -1 (* x (+ y (pow y 2))))
(* x (+ y (pow y 2)))
(* x (* y (- 1 y)))
(/ 1 (* x y))
(* x y)
(* y (+ (* -1 x) (* -1 (* x y))))
(* -1 y)
(/ -1 (* x y))
(/ (- (/ y x) (/ 1 x)) y)
(/ (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y)
(/ (- (* y (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))) (/ 1 x)) y)
(* y (+ x (* x y)))
y
(* y (+ 1 y))
(* y (+ x (* -1 (* x y))))
1
(+ 1 (* -1 y))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(/ -1 (* x (pow y 2)))
(/ (- (/ 1 (* x y)) (/ 1 x)) (pow y 2))
(/ (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2))
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3)))) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x y)))
(pow y 2)
(* (pow y 2) (+ 1 (/ 1 y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(* -1 (* x (+ y (pow y 2))))
(*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(/ -1 (* x (+ y (pow y 2))))
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y y) x))
(* x (+ y (pow y 2)))
(*.f64 (fma.f64 y y y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(/ 1 (* x y))
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(* x y)
(*.f64 x y)
(* y (+ (* -1 x) (* -1 (* x y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))
(* -1 y)
(neg.f64 y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ (- (/ y x) (/ 1 x)) y)
(/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) y)
(/ (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y)
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (/.f64 (-.f64 y #s(literal 1 binary64)) x))
(/ (- (* y (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))) (/ 1 x)) y)
(/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (-.f64 y #s(literal 1 binary64)) x)) y)
(* y (+ x (* x y)))
(*.f64 (fma.f64 y y y) x)
y
(* y (+ 1 y))
(fma.f64 y y y)
(* 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) (* -1 (/ x y))))
(*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))
(/ -1 (* x (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) y)
(/ (- (/ 1 (* x y)) (/ 1 x)) (pow y 2))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) x) (pow.f64 y #s(literal 3 binary64)))
(/ (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64))) y) y)
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3)))) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2))
(*.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) y) y))
(* x (pow y 2))
(*.f64 (*.f64 x y) y)
(* (pow y 2) (+ x (/ x y)))
(*.f64 (fma.f64 y y y) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 y)))
(fma.f64 y y y)
(* (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 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64))) y) y)
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(*.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) y) y))
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

rewrite162.0ms (3.2%)

Memory
-33.1MiB live, 221.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02069
03067
112961
274861
0802461
Stop Event
iter limit
node limit
iter limit
Counts
11 → 1 007
Calls
Call 1
Inputs
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y))))
(/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y)))
(*.f64 x (fma.f64 y y y))
(fma.f64 y y y)
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
Outputs
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y)
(*.f64 (neg.f64 x) y)
(*.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(*.f64 (*.f64 x y) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(*.f64 x (neg.f64 y))
(*.f64 y (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x y))
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) #s(literal -1 binary64))
(/.f64 (*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) x) (*.f64 y y))
(/.f64 (*.f64 x (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y y))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (*.f64 x y)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 x y)))))
(/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y)
(/.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64))
(/.f64 (*.f64 x y) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(neg.f64 (*.f64 x y))
(fma.f64 #s(literal 0 binary64) x (*.f64 (neg.f64 y) x))
(fma.f64 x #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 x y))
(+.f64 (*.f64 #s(literal 0 binary64) x) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 x #s(literal 0 binary64)) (*.f64 (neg.f64 y) x))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 y #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) y)
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y y))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 y y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 y) #s(literal 1 binary64))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 y #s(literal -1 binary64))
(neg.f64 y)
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) y)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 0 binary64))
(*.f64 (/.f64 (neg.f64 (fma.f64 y y y)) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x y x))) y)
(*.f64 (*.f64 (neg.f64 x) (+.f64 #s(literal 1 binary64) y)) y)
(*.f64 (*.f64 (neg.f64 x) (fma.f64 (neg.f64 y) y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 y y (neg.f64 y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 x) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (pow.f64 (*.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) y) y (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x y x) (neg.f64 y)) #s(literal 1/2 binary64))) (pow.f64 (*.f64 (fma.f64 x y x) (neg.f64 y)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y y))) x)
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x y x)) y)
(*.f64 (neg.f64 (fma.f64 x y x)) y)
(*.f64 (/.f64 (fma.f64 y y y) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 x y))
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(neg.f64 (*.f64 (neg.f64 y) x))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) x))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))

eval155.0ms (3%)

Memory
25.1MiB live, 214.1MiB allocated
Compiler

Compiled 19 078 to 2 904 computations (84.8% saved)

prune21.0ms (0.4%)

Memory
23.6MiB live, 61.5MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1 02811 029
Fresh000
Picked213
Done066
Total1 03081 038
Accuracy
100.0%
Counts
1 038 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
61.5%
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
60.5%
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
99.9%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
99.9%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
61.5%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
57.8%
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
23.2%
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
56.7%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Compiler

Compiled 228 to 121 computations (46.9% saved)

regimes16.0ms (0.3%)

Memory
-22.0MiB live, 25.4MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 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))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 y (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x (fma.f64 y y y))))
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (fma.f64 y y y) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x)))
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Calls

3 calls:

7.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
4.0ms
x
4.0ms
y
Results
AccuracySegmentsBranch
99.9%1x
99.9%1y
99.9%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory
16.1MiB live, 16.1MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 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))
(*.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:

2.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
70.0%2x
97.6%3y
87.8%2(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory
-34.4MiB live, 4.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 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))
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:

3.0ms
y
Results
AccuracySegmentsBranch
92.9%3y
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
(*.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)))
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
57.8%1x
60.3%2(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
66.2%2y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
Outputs
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
Calls

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
23.2%1x
23.2%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
23.2%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch24.0ms (0.5%)

Memory
15.8MiB live, 15.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
0.0015059668295491328
14012508113.596964
9.0ms
-17.165118894079235
-0.040716817957853174
Samples
11.0ms288×0valid
Compiler

Compiled 352 to 335 computations (4.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 4.0ms (77.8% of total)
ival-sub: 1.0ms (19.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0015059668295491328
14012508113.596964
1.0ms
-17.165118894079235
-0.040716817957853174
Compiler

Compiled 424 to 371 computations (12.5% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
1.0ms
0.0015059668295491328
14012508113.596964
Compiler

Compiled 260 to 221 computations (15% saved)

simplify138.0ms (2.7%)

Memory
-6.6MiB live, 69.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
032112
156112
2107108
3218106
4463104
5760104
61424104
73642104
86565104
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(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))))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x)))
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(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 (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x)))
#s(approx (/ -1 (pow (* (+ (* y y) y) x) -1)) (*.f64 (neg.f64 y) x))

soundness1.1s (20.7%)

Memory
-15.2MiB live, 460.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0101383
1290368
2699355
31928341
44617333
08241321
0613
0913
13013
216513
3135413
0957912
02742
17042
216442
329542
467442
5209742
6431342
7577442
8663942
9721842
10784342
0835142
02291
03589
19289
237289
3324883
0994278
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 147 to 67 computations (54.4% saved)

preprocess77.0ms (1.5%)

Memory
-4.2MiB live, 41.6MiB allocated
Remove

(negabs x)

Compiler

Compiled 266 to 104 computations (60.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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