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

Time bar (total: 4.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample569.0ms (11.9%)

Memory
16.5MiB live, 890.5MiB allocated
Samples
355.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-mult: 117.0ms (60.7% of total)
ival-sub: 62.0ms (32.1% of total)
ival-true: 6.0ms (3.1% of total)
exact: 5.0ms (2.6% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain78.0ms (1.6%)

Memory
-18.9MiB live, 112.5MiB 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
29.0ms512×0valid
Compiler

Compiled 75 to 37 computations (50.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 12.0ms (74% of total)
ival-sub: 3.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess54.0ms (1.1%)

Memory
10.0MiB live, 47.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01643
15637
222235
374335
4128135
5190135
6190335
7190335
067
097
1177
2407
3807
41707
52477
63557
75467
86647
97057
07057
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify20.0ms (0.4%)

Memory
-18.8MiB live, 19.1MiB 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
38016
417016
524716
635516
754616
866416
970516
070516
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)

localize15.0ms (0.3%)

Memory
20.7MiB live, 20.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 x y)
accuracy0.1015625
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Samples
11.0ms256×0valid
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 (60.4% of total)
ival-sub: 1.0ms (20.1% 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
8.2MiB live, 8.2MiB 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))

simplify137.0ms (2.9%)

Memory
4.1MiB live, 80.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02742
17042
216542
326342
463542
5211242
6419442
7569542
8657242
9714942
10777542
0828642
Stop Event
iter limit
node limit
Counts
10 → 10
Calls
Call 1
Inputs
(* x (* y (- 1 y)))
(* x y)
(* y (+ x (* -1 (* x y))))
1
(+ 1 (* -1 y))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

rewrite138.0ms (2.9%)

Memory
0.5MiB live, 155.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13013
216513
3134313
0956212
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 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 (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) (-.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 (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 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 (-.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 (-.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 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal -1 binary64) y))
(-.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))

eval46.0ms (1%)

Memory
0.5MiB live, 75.2MiB allocated
Compiler

Compiled 10 715 to 1 283 computations (88% saved)

prune12.0ms (0.2%)

Memory
-4.9MiB live, 33.7MiB allocated
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New42110431
Fresh000
Picked011
Done000
Total42111432
Accuracy
100.0%
Counts
432 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
90.1%
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
99.8%
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
98.6%
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x)))
88.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x))))
65.1%
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (+.f64 y (pow.f64 y #s(literal 4 binary64))))
99.8%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
99.8%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
60.7%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
54.2%
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
53.5%
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Compiler

Compiled 229 to 176 computations (23.1% saved)

simplify224.0ms (4.7%)

Memory
-6.0MiB live, 232.9MiB 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
(*.f64 y x)
cost-diff0
(*.f64 y y)
cost-diff128
(+.f64 #s(literal -1 binary64) (*.f64 y y))
cost-diff7040
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
cost-diff0
(neg.f64 y)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(*.f64 x y)
cost-diff0
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
cost-diff0
#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
022124
038116
167116
2132116
3258114
4777114
52509114
65048114
09087113
Stop Event
iter limit
node limit
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)
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
#s(literal -1 binary64)
(*.f64 y y)
y
(*.f64 y x)
x
(-.f64 #s(literal -1 binary64) 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 #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 (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) y) x)
(*.f64 x y)
x
y
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(fma.f64 y y #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 y y)
y
(*.f64 y x)
(*.f64 x y)
x
(-.f64 #s(literal -1 binary64) 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) x) y)
(*.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)

localize51.0ms (1.1%)

Memory
25.8MiB live, 63.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 y x)
accuracy0.01171875
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
accuracy0.135097509768442
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
accuracy0
(*.f64 y y)
accuracy0
(*.f64 y x)
accuracy0.9703836969177508
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x))
accuracy5.407001897814897
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
accuracy0
(*.f64 x y)
accuracy0
(neg.f64 y)
accuracy0.1015625
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy31.014006497596785
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(*.f64 x y)
accuracy0.1015625
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
accuracy31.986487057188324
#s(approx (- 1 y) #s(literal 1 binary64))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy0.1015625
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Samples
37.0ms256×0valid
Compiler

Compiled 240 to 43 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-mult: 11.0ms (47.3% of total)
ival-div: 3.0ms (12.9% of total)
ival-sub: 3.0ms (12.9% of total)
ival-pow: 3.0ms (12.9% of total)
ival-add: 1.0ms (4.3% of total)
ival-neg: 1.0ms (4.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series16.0ms (0.3%)

Memory
-18.5MiB live, 19.7MiB allocated
Counts
16 → 35
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))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 y y)
(*.f64 y x)
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x))
Outputs
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x y)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x (* y (- (pow y 2) 1)))
(* y (+ x (* -1 (* x y))))
x
(+ x (* -1 (* x y)))
1
(+ 1 (* -1 y))
(* -1 y)
-1
(- (pow y 2) 1)
(pow y 2)
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(* -1 (* x y))
(* y (+ (* -1 x) (* x (pow y 2))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(/ -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)
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(* -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))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
Calls

6 calls:

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

simplify113.0ms (2.4%)

Memory
20.0MiB live, 99.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076228
1231214
2637207
31785206
44545206
08303202
Stop Event
iter limit
node limit
Counts
35 → 34
Calls
Call 1
Inputs
(* x (* y (- 1 y)))
(* x (- 1 y))
(* x y)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x (* y (- (pow y 2) 1)))
(* y (+ x (* -1 (* x y))))
x
(+ x (* -1 (* x y)))
1
(+ 1 (* -1 y))
(* -1 y)
-1
(- (pow y 2) 1)
(pow y 2)
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(* -1 (* x y))
(* y (+ (* -1 x) (* x (pow y 2))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(/ -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)
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(* -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))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
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 (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) y))
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) 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 y)
(neg.f64 y)
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(pow y 2)
(*.f64 y 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)))
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (* x (pow y 2))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* -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)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(/ -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)
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* -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)
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)

rewrite175.0ms (3.7%)

Memory
-0.2MiB live, 190.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02297
03889
112189
266388
3740188
0805687
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 574
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))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(+.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 y y)
(*.f64 y x)
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x))
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) x))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) (+.f64 (pow.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (-.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) y) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))
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(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (neg.f64 y) x)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) (-.f64 (*.f64 (neg.f64 y) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (-.f64 (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)) (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (neg.f64 y) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 y) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x) (-.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) y)) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) y)) (neg.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (*.f64 (*.f64 x y) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) y) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x y)) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (*.f64 x y)) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) y) (fma.f64 (neg.f64 y) y #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) y) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) y)))
(neg.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) y))
(fma.f64 (*.f64 (*.f64 x y) y) y (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 (*.f64 (*.f64 y y) x) y (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 x #s(literal -1 binary64)) y (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 (neg.f64 x) y (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) x (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 (neg.f64 y) x) #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 (*.f64 x y) (*.f64 y y) (*.f64 (neg.f64 y) x))
(fma.f64 (*.f64 x y) #s(literal -1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 (*.f64 y y) (*.f64 x y) (*.f64 (neg.f64 y) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 (neg.f64 y) x (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 x (pow.f64 y #s(literal 3 binary64)) (*.f64 (neg.f64 y) x))
(fma.f64 x (neg.f64 y) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 y (*.f64 y (*.f64 x y)) (*.f64 (neg.f64 y) x))
(fma.f64 y (*.f64 x (*.f64 y y)) (*.f64 (neg.f64 y) x))
(fma.f64 y (*.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 y (neg.f64 x) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(-.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) x #s(literal 0 binary64)) (*.f64 x y))
(-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 x y))
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) y))
(+.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 (neg.f64 y) x) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))

eval190.0ms (4%)

Memory
-9.9MiB live, 275.7MiB allocated
Compiler

Compiled 20 304 to 2 902 computations (85.7% saved)

prune25.0ms (0.5%)

Memory
18.4MiB live, 96.1MiB allocated
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New1 08581 093
Fresh415
Picked235
Done011
Total1 091131 104
Accuracy
100.0%
Counts
1 104 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
91.3%
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) y) x))
90.1%
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
75.2%
(/.f64 (*.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
60.7%
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
98.7%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)))
63.7%
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x))) y)
99.8%
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) y)
99.8%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
53.5%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
99.8%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
60.7%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
54.2%
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
Compiler

Compiled 253 to 186 computations (26.5% saved)

simplify108.0ms (2.3%)

Memory
-19.5MiB live, 106.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff256
(-.f64 x (*.f64 (neg.f64 y) x))
cost-diff256
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))
cost-diff320
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)))
cost-diff1728
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x)))
cost-diff0
(-.f64 #s(literal 1 binary64) y)
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) y))
cost-diff0
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
cost-diff1792
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)))
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
(neg.f64 y)
cost-diff0
#s(approx (- 1 y) (neg.f64 y))
cost-diff0
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
cost-diff0
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) y)
cost-diff1216
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030211
053190
1108185
2285164
31154164
44651164
08619163
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) y)
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(neg.f64 x)
x
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x))) y)
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)))
(*.f64 x x)
x
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(-.f64 x (*.f64 (neg.f64 y) x))
Outputs
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(neg.f64 x)
x
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 (*.f64 y x) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y #s(literal 1 binary64)) y))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
x
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x))) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)))
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (neg.f64 x))
(*.f64 x x)
x
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))
(*.f64 (*.f64 (*.f64 x x) y) y)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(-.f64 x (*.f64 (neg.f64 y) x))
(fma.f64 y x x)

localize89.0ms (1.9%)

Memory
-15.5MiB live, 139.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.1015625
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x))) y)
accuracy0.27962875976844204
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))
accuracy9.343686010736386
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)))
accuracy31.44019531856058
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x)))
accuracy0.01171875
(*.f64 x (-.f64 #s(literal 1 binary64) y))
accuracy0.1015625
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
accuracy0.310863960594701
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
accuracy0.8416179896224978
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0
(*.f64 y x)
accuracy0.135097509768442
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
accuracy31.221650226606283
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
accuracy0
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
accuracy0
(neg.f64 y)
accuracy4.757477171528833
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
accuracy31.014006497596785
#s(approx (- 1 y) (neg.f64 y))
accuracy0
(neg.f64 x)
accuracy0.01171875
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
accuracy0.1015625
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
accuracy0.1015625
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) y)
Samples
67.0ms256×0valid
Compiler

Compiled 407 to 61 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-mult: 30.0ms (59% of total)
ival-div: 11.0ms (21.6% of total)
ival-sub: 4.0ms (7.9% of total)
ival-pow: 3.0ms (5.9% of total)
ival-neg: 2.0ms (3.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.5%)

Memory
35.1MiB live, 35.1MiB allocated
Counts
22 → 65
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) y)
(neg.f64 x)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)))
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))
(-.f64 x (*.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x))) y)
Outputs
(* x (- 1 y))
(* x (* y (- 1 y)))
(* -1 x)
(* x y)
(/ (* x (- 1 (pow y 2))) (- 1 (* -1 y)))
(* (pow x 2) (- 1 (pow y 2)))
(* (pow x 2) (pow y 2))
(* x (- 1 (* -1 y)))
(/ -1 (* x (* y (- 1 y))))
(/ (* x (* y (- 1 (pow y 2)))) (- 1 (* -1 y)))
(/ (* x (- 1 (pow y 2))) (+ 1 y))
(* x (+ 1 y))
(/ (* x (* y (- 1 (pow y 2)))) (+ 1 y))
x
(+ x (* -1 (* x y)))
(* y (+ x (* -1 (* x y))))
-1
(- (* -1 y) 1)
(- (* y (- (* -1 y) 1)) 1)
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
y
(* y (+ 1 (* -1 y)))
1
(+ 1 (* -1 y))
(* -1 y)
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(/ -1 y)
(pow x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ x (* x y))
(/ -1 (* x y))
(/ (- (* -1 (/ y x)) (/ 1 x)) y)
(/ (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y)
(/ (- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) y)
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow x 2)))
(* y (- (/ x y) (* -1 x)))
(/ 1 (* x (pow y 2)))
(/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (pow y 2))
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))) (pow y 2))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) 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))
(* -1 (* y (- (* -1 (/ x y)) x)))
(/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((/ (neg x) (/ -1 (- 1 y))) (* (/ (neg x) (/ -1 (- 1 y))) y) (neg x) (/ -1 (- 1 y)) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ -1 (/ -1 (* (* x (- 1 y)) y))) (* (* x (- 1 y)) y) (* x (- 1 y)) (- 1 y) (/ (- (* x x) (* (* (neg y) x) (* (neg y) x))) (- x (* (neg y) x))) (- (* x x) (* (* (neg y) x) (* (neg y) x))) (* (* (neg y) x) (* (neg y) x)) (- x (* (neg y) x)) (/ -1 (* (* x (- 1 y)) y)) (* (/ (- (* x x) (* (* (neg y) x) (* (neg y) x))) (- x (* (neg y) x))) y))
3.0ms
x
@0
((/ (neg x) (/ -1 (- 1 y))) (* (/ (neg x) (/ -1 (- 1 y))) y) (neg x) (/ -1 (- 1 y)) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ -1 (/ -1 (* (* x (- 1 y)) y))) (* (* x (- 1 y)) y) (* x (- 1 y)) (- 1 y) (/ (- (* x x) (* (* (neg y) x) (* (neg y) x))) (- x (* (neg y) x))) (- (* x x) (* (* (neg y) x) (* (neg y) x))) (* (* (neg y) x) (* (neg y) x)) (- x (* (neg y) x)) (/ -1 (* (* x (- 1 y)) y)) (* (/ (- (* x x) (* (* (neg y) x) (* (neg y) x))) (- x (* (neg y) x))) y))
3.0ms
x
@inf
((/ (neg x) (/ -1 (- 1 y))) (* (/ (neg x) (/ -1 (- 1 y))) y) (neg x) (/ -1 (- 1 y)) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ -1 (/ -1 (* (* x (- 1 y)) y))) (* (* x (- 1 y)) y) (* x (- 1 y)) (- 1 y) (/ (- (* x x) (* (* (neg y) x) (* (neg y) x))) (- x (* (neg y) x))) (- (* x x) (* (* (neg y) x) (* (neg y) x))) (* (* (neg y) x) (* (neg y) x)) (- x (* (neg y) x)) (/ -1 (* (* x (- 1 y)) y)) (* (/ (- (* x x) (* (* (neg y) x) (* (neg y) x))) (- x (* (neg y) x))) y))
3.0ms
y
@inf
((/ (neg x) (/ -1 (- 1 y))) (* (/ (neg x) (/ -1 (- 1 y))) y) (neg x) (/ -1 (- 1 y)) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ -1 (/ -1 (* (* x (- 1 y)) y))) (* (* x (- 1 y)) y) (* x (- 1 y)) (- 1 y) (/ (- (* x x) (* (* (neg y) x) (* (neg y) x))) (- x (* (neg y) x))) (- (* x x) (* (* (neg y) x) (* (neg y) x))) (* (* (neg y) x) (* (neg y) x)) (- x (* (neg y) x)) (/ -1 (* (* x (- 1 y)) y)) (* (/ (- (* x x) (* (* (neg y) x) (* (neg y) x))) (- x (* (neg y) x))) y))
3.0ms
y
@-inf
((/ (neg x) (/ -1 (- 1 y))) (* (/ (neg x) (/ -1 (- 1 y))) y) (neg x) (/ -1 (- 1 y)) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ -1 (/ -1 (* (* x (- 1 y)) y))) (* (* x (- 1 y)) y) (* x (- 1 y)) (- 1 y) (/ (- (* x x) (* (* (neg y) x) (* (neg y) x))) (- x (* (neg y) x))) (- (* x x) (* (* (neg y) x) (* (neg y) x))) (* (* (neg y) x) (* (neg y) x)) (- x (* (neg y) x)) (/ -1 (* (* x (- 1 y)) y)) (* (/ (- (* x x) (* (* (neg y) x) (* (neg y) x))) (- x (* (neg y) x))) y))

simplify152.0ms (3.2%)

Memory
-34.0MiB live, 84.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0133561
1362542
2868524
33289503
08174493
Stop Event
iter limit
node limit
Counts
65 → 63
Calls
Call 1
Inputs
(* x (- 1 y))
(* x (* y (- 1 y)))
(* -1 x)
(* x y)
(/ (* x (- 1 (pow y 2))) (- 1 (* -1 y)))
(* (pow x 2) (- 1 (pow y 2)))
(* (pow x 2) (pow y 2))
(* x (- 1 (* -1 y)))
(/ -1 (* x (* y (- 1 y))))
(/ (* x (* y (- 1 (pow y 2)))) (- 1 (* -1 y)))
(/ (* x (- 1 (pow y 2))) (+ 1 y))
(* x (+ 1 y))
(/ (* x (* y (- 1 (pow y 2)))) (+ 1 y))
x
(+ x (* -1 (* x y)))
(* y (+ x (* -1 (* x y))))
-1
(- (* -1 y) 1)
(- (* y (- (* -1 y) 1)) 1)
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
y
(* y (+ 1 (* -1 y)))
1
(+ 1 (* -1 y))
(* -1 y)
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(/ -1 y)
(pow x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(+ x (* x y))
(/ -1 (* x y))
(/ (- (* -1 (/ y x)) (/ 1 x)) y)
(/ (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y)
(/ (- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) y)
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(/ 1 y)
(/ (+ 1 (/ 1 y)) y)
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow x 2)))
(* y (- (/ x y) (* -1 x)))
(/ 1 (* x (pow y 2)))
(/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (pow y 2))
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))) (pow y 2))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) 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))
(* -1 (* y (- (* -1 (/ x y)) x)))
(/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
Outputs
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (* y (- 1 y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 x)
(neg.f64 x)
(* x y)
(*.f64 y x)
(/ (* x (- 1 (pow y 2))) (- 1 (* -1 y)))
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(* (pow x 2) (- 1 (pow y 2)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) x)
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 x x) y) y)
(* x (- 1 (* -1 y)))
(fma.f64 y x x)
(/ -1 (* x (* y (- 1 y))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x))
(/ (* x (* y (- 1 (pow y 2)))) (- 1 (* -1 y)))
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (-.f64 y (pow.f64 y #s(literal 3 binary64))))
(/ (* x (- 1 (pow y 2))) (+ 1 y))
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 y y)))
(* x (+ 1 y))
(fma.f64 y x x)
(/ (* x (* y (- 1 (pow y 2)))) (+ 1 y))
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) (-.f64 y (pow.f64 y #s(literal 3 binary64))))
x
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
-1
#s(literal -1 binary64)
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(- (* y (- (* -1 y) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64))
(- (* y (- (* y (- (* -1 y) 1)) 1)) 1)
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -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)))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(pow x 2)
(*.f64 x x)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) x)
(+ x (* x y))
(fma.f64 y x x)
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ (- (* -1 (/ y x)) (/ 1 x)) y)
(*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(/ (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y)
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (-.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) 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) x) (-.f64 y #s(literal -1 binary64)))) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* 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)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 (/ 1 y)) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)
(/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) #s(literal -1 binary64)) y)
(/ (+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) y)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (- (/ 1 y) 1))
(-.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 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) (pow x 2)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) x)
(* y (- (/ x y) (* -1 x)))
(fma.f64 y x x)
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))
(/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y) y)
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (pow y 2))
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y))
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))) (pow y 2))
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x)) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y) #s(literal -1 binary64)) y)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) 1) y))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)) y)
(* -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)
(* -1 (* y (- (* -1 (/ x y)) x)))
(fma.f64 y x x)
(/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y)) y)) (*.f64 y y))

rewrite319.0ms (6.7%)

Memory
24.2MiB live, 232.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030184
053158
1194139
21242135
09078134
Stop Event
iter limit
node limit
iter limit
Counts
22 → 2 021
Calls
Call 1
Inputs
(/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) y)
(neg.f64 x)
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 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 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 x (-.f64 #s(literal 1 binary64) y))
(-.f64 #s(literal 1 binary64) y)
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x)))
(-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x)))
(*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))
(-.f64 x (*.f64 (neg.f64 y) x))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x))) y)
Outputs
(*.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y x x) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y x x) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 y x x)) (-.f64 x (*.f64 (*.f64 y x) y)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(+.f64 (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) y) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) x) (*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) y) (fma.f64 (neg.f64 x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 (neg.f64 y) x)))
(+.f64 (*.f64 y (*.f64 x (/.f64 x (fma.f64 y x x)))) (*.f64 y (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x x))))
(+.f64 (*.f64 (*.f64 (neg.f64 y) x) y) (*.f64 y x))
(+.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y))

eval157.0ms (3.3%)

Memory
20.8MiB live, 286.8MiB allocated
Compiler

Compiled 30 976 to 4 039 computations (87% saved)

prune64.0ms (1.3%)

Memory
-29.4MiB live, 90.1MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New1 20241 206
Fresh224
Picked235
Done044
Total1 206131 219
Accuracy
100.0%
Counts
1 219 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
90.1%
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
60.7%
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
91.3%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
98.7%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)))
61.0%
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (* x (- 1 y)) y)) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y) y)))
65.5%
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x))) y)
60.7%
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
99.8%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
53.5%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
99.8%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
60.7%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
54.2%
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
Compiler

Compiled 243 to 178 computations (26.7% saved)

simplify156.0ms (3.3%)

Memory
2.1MiB live, 176.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x))
cost-diff0
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x))) y)
cost-diff256
(-.f64 x (*.f64 (neg.f64 y) x))
cost-diff1728
(/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
cost-diff1792
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
cost-diff0
(-.f64 #s(literal -1 binary64) y)
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 y y #s(literal -1 binary64))
cost-diff7040
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
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 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
cost-diff0
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) y)
cost-diff0
(*.f64 (*.f64 (neg.f64 y) y) x)
cost-diff320
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030194
055174
1114170
2246170
3989165
43672159
08480158
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
y
x
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
x
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x))
(fma.f64 y y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 y x)
x
(-.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(/.f64 #s(literal -1 binary64) x)
x
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x))) y)
(/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x)))
(*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x))
x
(fma.f64 (*.f64 (neg.f64 y) x) y x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(-.f64 x (*.f64 (neg.f64 y) x))
Outputs
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
y
x
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (*.f64 (neg.f64 y) x) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
x
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(fma.f64 y y #s(literal -1 binary64))
y
#s(literal -1 binary64)
(*.f64 y x)
(*.f64 x y)
x
(-.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
#s(literal -1 binary64)
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 y #s(literal 1 binary64)) y))
(/.f64 #s(literal -1 binary64) x)
x
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x))) y)
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x))
(*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x)
x
(fma.f64 (*.f64 (neg.f64 y) x) y x)
(*.f64 (neg.f64 y) x)
(neg.f64 y)
y
(-.f64 x (*.f64 (neg.f64 y) x))
(fma.f64 x y x)

localize94.0ms (2%)

Memory
-0.4MiB live, 113.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09765625
(fma.f64 (*.f64 (neg.f64 y) x) y x)
accuracy0.1015625
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x))) y)
accuracy1.2221484153567013
(*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x))
accuracy31.44019531856058
(/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x)))
accuracy0
(-.f64 #s(literal 1 binary64) y)
accuracy0
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
accuracy0.8416179896224978
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
accuracy4.858431704116646
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
accuracy0
(-.f64 #s(literal -1 binary64) y)
accuracy0
(*.f64 y x)
accuracy0.9703836969177508
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x))
accuracy5.407001897814897
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
accuracy0
(/.f64 #s(literal -1 binary64) y)
accuracy0.1015625
(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
accuracy0.1015625
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
accuracy31.221650226606283
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
accuracy0
(*.f64 (neg.f64 y) y)
accuracy0
(neg.f64 y)
accuracy0.015625
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
accuracy9.966360166580571
(*.f64 (*.f64 (neg.f64 y) y) x)
Samples
63.0ms256×0valid
Compiler

Compiled 386 to 64 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 16.0ms (33.5% of total)
ival-div: 14.0ms (29.3% of total)
ival-pow: 9.0ms (18.8% of total)
ival-add: 3.0ms (6.3% of total)
ival-sub: 3.0ms (6.3% of total)
ival-neg: 1.0ms (2.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series29.0ms (0.6%)

Memory
-1.9MiB live, 41.0MiB allocated
Counts
23 → 72
Calls
Call 1
Inputs
(fma.f64 y x (*.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 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(fma.f64 y y #s(literal -1 binary64))
(*.f64 y x)
(-.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(/.f64 #s(literal -1 binary64) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x)))
(-.f64 x (*.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x))) y)
(*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x))
(-.f64 #s(literal 1 binary64) y)
(fma.f64 (*.f64 (neg.f64 y) x) y x)
Outputs
(* x (+ y (* -1 (pow y 2))))
(* -1 (* x (pow y 2)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x y)
(/ -1 (* x (* y (- 1 y))))
(/ -1 x)
(/ (* x (+ 1 (* -1 (pow y 2)))) (- 1 (* -1 y)))
(* x (- 1 (* -1 y)))
(/ (* x (* y (+ 1 (* -1 (pow y 2))))) (- 1 (* -1 y)))
(* (pow x 2) (+ 1 (* -1 (pow y 2))))
(* x (* y (- (pow y 2) 1)))
(* x (+ 1 (* -1 (pow y 2))))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y)))
(* x (+ 1 y))
(* -1 (* (pow x 2) (- (pow y 2) 1)))
(* -1 (* x (- (pow y 2) 1)))
(* y (+ x (* -1 (* x y))))
(* -1 (pow y 2))
(* -1 y)
x
(+ x (* -1 (* x y)))
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(/ -1 y)
-1
(- (pow y 2) 1)
(- (* -1 y) 1)
(/ -1 (* x y))
(/ (- (* -1 (/ y x)) (/ 1 x)) y)
(/ (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y)
(/ (- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) y)
y
(* y (+ 1 (* -1 y)))
(+ x (* x y))
(pow x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(* -1 (* x y))
(* y (+ (* -1 x) (* x (pow y 2))))
(+ 1 (* -1 y))
(+ x (* -1 (* x (pow y 2))))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (+ (* -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)
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* -1 (* y (+ 1 (/ 1 y))))
(/ 1 (* x (pow y 2)))
(/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (pow y 2))
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))) (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* y (- (/ x y) (* -1 x)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(* y (- (/ 1 y) 1))
(* (pow y 2) (+ (* -1 x) (/ x (pow y 2))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(* -1 (* y (- (* -1 (/ x y)) x)))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(* -1 (* y (- 1 (/ 1 y))))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
((+ (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ (* y y) -1) (* y x)) (- -1 y)) (+ (* y y) -1) (* y x) (- -1 y) (/ -1 (/ (/ -1 x) (* (- 1 y) y))) (/ (/ -1 x) (* (- 1 y) y)) (/ -1 x) (* (- 1 y) y) (/ (* x (+ (* (* (neg y) x) y) x)) (- x (* (neg y) x))) (- x (* (neg y) x)) (* (/ (* x (+ (* (* (neg y) x) y) x)) (- x (* (neg y) x))) y) (* x (+ (* (* (neg y) x) y) x)) (* (+ (* y y) -1) (* y x)) (- 1 y) (+ (* (* (neg y) x) y) x))
5.0ms
x
@0
((+ (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ (* y y) -1) (* y x)) (- -1 y)) (+ (* y y) -1) (* y x) (- -1 y) (/ -1 (/ (/ -1 x) (* (- 1 y) y))) (/ (/ -1 x) (* (- 1 y) y)) (/ -1 x) (* (- 1 y) y) (/ (* x (+ (* (* (neg y) x) y) x)) (- x (* (neg y) x))) (- x (* (neg y) x)) (* (/ (* x (+ (* (* (neg y) x) y) x)) (- x (* (neg y) x))) y) (* x (+ (* (* (neg y) x) y) x)) (* (+ (* y y) -1) (* y x)) (- 1 y) (+ (* (* (neg y) x) y) x))
4.0ms
x
@inf
((+ (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ (* y y) -1) (* y x)) (- -1 y)) (+ (* y y) -1) (* y x) (- -1 y) (/ -1 (/ (/ -1 x) (* (- 1 y) y))) (/ (/ -1 x) (* (- 1 y) y)) (/ -1 x) (* (- 1 y) y) (/ (* x (+ (* (* (neg y) x) y) x)) (- x (* (neg y) x))) (- x (* (neg y) x)) (* (/ (* x (+ (* (* (neg y) x) y) x)) (- x (* (neg y) x))) y) (* x (+ (* (* (neg y) x) y) x)) (* (+ (* y y) -1) (* y x)) (- 1 y) (+ (* (* (neg y) x) y) x))
3.0ms
y
@-inf
((+ (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ (* y y) -1) (* y x)) (- -1 y)) (+ (* y y) -1) (* y x) (- -1 y) (/ -1 (/ (/ -1 x) (* (- 1 y) y))) (/ (/ -1 x) (* (- 1 y) y)) (/ -1 x) (* (- 1 y) y) (/ (* x (+ (* (* (neg y) x) y) x)) (- x (* (neg y) x))) (- x (* (neg y) x)) (* (/ (* x (+ (* (* (neg y) x) y) x)) (- x (* (neg y) x))) y) (* x (+ (* (* (neg y) x) y) x)) (* (+ (* y y) -1) (* y x)) (- 1 y) (+ (* (* (neg y) x) y) x))
3.0ms
y
@inf
((+ (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ (* y y) -1) (* y x)) (- -1 y)) (+ (* y y) -1) (* y x) (- -1 y) (/ -1 (/ (/ -1 x) (* (- 1 y) y))) (/ (/ -1 x) (* (- 1 y) y)) (/ -1 x) (* (- 1 y) y) (/ (* x (+ (* (* (neg y) x) y) x)) (- x (* (neg y) x))) (- x (* (neg y) x)) (* (/ (* x (+ (* (* (neg y) x) y) x)) (- x (* (neg y) x))) y) (* x (+ (* (* (neg y) x) y) x)) (* (+ (* y y) -1) (* y x)) (- 1 y) (+ (* (* (neg y) x) y) x))

simplify139.0ms (2.9%)

Memory
5.0MiB live, 163.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0152585
1465547
21148526
34368517
08218505
Stop Event
iter limit
node limit
Counts
72 → 70
Calls
Call 1
Inputs
(* x (+ y (* -1 (pow y 2))))
(* -1 (* x (pow y 2)))
(* x (* y (- 1 y)))
(* x (- 1 y))
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x y)
(/ -1 (* x (* y (- 1 y))))
(/ -1 x)
(/ (* x (+ 1 (* -1 (pow y 2)))) (- 1 (* -1 y)))
(* x (- 1 (* -1 y)))
(/ (* x (* y (+ 1 (* -1 (pow y 2))))) (- 1 (* -1 y)))
(* (pow x 2) (+ 1 (* -1 (pow y 2))))
(* x (* y (- (pow y 2) 1)))
(* x (+ 1 (* -1 (pow y 2))))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y)))
(* x (+ 1 y))
(* -1 (* (pow x 2) (- (pow y 2) 1)))
(* -1 (* x (- (pow y 2) 1)))
(* y (+ x (* -1 (* x y))))
(* -1 (pow y 2))
(* -1 y)
x
(+ x (* -1 (* x y)))
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(/ -1 y)
-1
(- (pow y 2) 1)
(- (* -1 y) 1)
(/ -1 (* x y))
(/ (- (* -1 (/ y x)) (/ 1 x)) y)
(/ (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y)
(/ (- (* y (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x))) (/ 1 x)) y)
y
(* y (+ 1 (* -1 y)))
(+ x (* x y))
(pow x 2)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(* -1 (* x y))
(* y (+ (* -1 x) (* x (pow y 2))))
(+ 1 (* -1 y))
(+ x (* -1 (* x (pow y 2))))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* y (+ (* -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)
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* -1 (* y (+ 1 (/ 1 y))))
(/ 1 (* x (pow y 2)))
(/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (pow y 2))
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))) (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* y (- (/ x y) (* -1 x)))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(* y (- (/ 1 y) 1))
(* (pow y 2) (+ (* -1 x) (/ x (pow y 2))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(* -1 (* y (- (* -1 (/ x y)) x)))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
(* x (+ y (* -1 (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(*.f64 (*.f64 (neg.f64 y) x) y)
(* 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)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(* x y)
(*.f64 x y)
(/ -1 (* x (* y (- 1 y))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (* x (+ 1 (* -1 (pow y 2)))) (- 1 (* -1 y)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(* x (- 1 (* -1 y)))
(fma.f64 x y x)
(/ (* x (* y (+ 1 (* -1 (pow y 2))))) (- 1 (* -1 y)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(* (pow x 2) (+ 1 (* -1 (pow y 2))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x))
(* x (* y (- (pow y 2) 1)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* x (+ 1 (* -1 (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 x y) x)
(* -1 (* x (+ (* -1 y) (pow y 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (/ (* x (- (pow y 2) 1)) (+ 1 y)))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y)))
(* x (+ 1 y))
(fma.f64 x y x)
(* -1 (* (pow x 2) (- (pow y 2) 1)))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x))
(* -1 (* x (- (pow y 2) 1)))
(fma.f64 (neg.f64 y) (*.f64 x y) x)
(* y (+ x (* -1 (* x y))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
x
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
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
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ (- (* -1 (/ y x)) (/ 1 x)) y)
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) x) (-.f64 y #s(literal -1 binary64)))
(/ (- (* y (- (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y)
(*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) y) 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) x) (-.f64 y #s(literal -1 binary64)))) y)
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(+ x (* x y))
(fma.f64 x y x)
(pow x 2)
(*.f64 x x)
(+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (* x (pow y 2))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ x (* -1 (* x (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 x y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -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 y #s(literal -1 binary64)) y) y)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal -1 binary64))
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
(/ 1 (* x (pow y 2)))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) x)
(/ (+ (/ 1 x) (/ 1 (* x y))) (pow y 2))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 y y))
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) (pow y 2))
(/.f64 (-.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y) (/.f64 #s(literal -1 binary64) x)) (*.f64 y y))
(/ (+ (/ 1 x) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ 1 (* x (pow y 3)))))) (pow y 2))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y)) (*.f64 y y))
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (- (/ x y) (* -1 x)))
(fma.f64 x y x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) y) y)
(* (pow y 2) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (*.f64 x x))
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* (pow y 2) (+ (* -1 x) (/ x (pow y 2))))
(fma.f64 (neg.f64 y) (*.f64 x y) x)
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) y) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) y) y)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y))
(/ (+ (* -1 (/ (- (* -1 (/ (+ (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal -1 binary64) x) (+.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) y) y))) y)) (*.f64 y y))
(* -1 (* y (- (* -1 (/ x y)) x)))
(fma.f64 x y x)
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)

rewrite224.0ms (4.7%)

Memory
15.7MiB live, 209.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030174
055158
1236145
21564142
08554141
Stop Event
iter limit
node limit
iter limit
Counts
23 → 1 185
Calls
Call 1
Inputs
(fma.f64 y x (*.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 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(fma.f64 y y #s(literal -1 binary64))
(*.f64 y x)
(-.f64 #s(literal -1 binary64) y)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y))
(/.f64 #s(literal -1 binary64) x)
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x)))
(-.f64 x (*.f64 (neg.f64 y) x))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x))) y)
(*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x))
(-.f64 #s(literal 1 binary64) y)
(fma.f64 (*.f64 (neg.f64 y) x) y x)
Outputs
(*.f64 (pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 y (fma.f64 x y x)))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x) (+.f64 #s(literal 1 binary64) y)) (/.f64 y x))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) x) (/.f64 (*.f64 x (fma.f64 y y y)) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) y) (/.f64 (*.f64 x (fma.f64 y y y)) (fma.f64 x y x)))
(*.f64 (/.f64 y (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x) (pow.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 y (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x)) (*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x)))
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x y) x))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) y) (pow.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) y) x))
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x) x))
(*.f64 (/.f64 y (fma.f64 x y x)) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 x y x) (/.f64 y (fma.f64 x y x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 x x)))
(*.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (/.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x))) (/.f64 (*.f64 x y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 (*.f64 x y) (pow.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (/.f64 y (pow.f64 (fma.f64 (*.f64 (neg.f64 y) x) (*.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x x)) y) (/.f64 #s(literal -1 binary64) (fma.f64 x y x)))
(*.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 x y x)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) y (*.f64 (neg.f64 y) x))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y x)) (/.f64 (neg.f64 y) (pow.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 x)) (neg.f64 y))
(*.f64 (/.f64 x (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x)) (/.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) y) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal -1 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 y y y)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (neg.f64 y) x) y x)))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (*.f64 (neg.f64 y) x) y (neg.f64 x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (neg.f64 y) x) y (neg.f64 x)))))
(fma.f64 (*.f64 (neg.f64 y) x) y x)
(fma.f64 (*.f64 x y) (neg.f64 y) x)
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) x) x)
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 #s(literal 1 binary64) x (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (*.f64 (neg.f64 y) y) x x)
(fma.f64 (neg.f64 y) (*.f64 x y) x)
(fma.f64 x #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 x (*.f64 (neg.f64 y) y) x)
(fma.f64 y (*.f64 (neg.f64 y) x) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 (*.f64 y y) x))) (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)) (+.f64 x (*.f64 (*.f64 y y) x))))
(-.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (neg.f64 y) x) y (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 (*.f64 (neg.f64 y) x) y (neg.f64 x))))
(-.f64 x (*.f64 (*.f64 y y) x))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 (*.f64 (neg.f64 y) x) y (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 (neg.f64 y) x) y (neg.f64 x)))))
(+.f64 (*.f64 (*.f64 (neg.f64 y) y) x) x)
(+.f64 x (*.f64 (*.f64 (neg.f64 y) y) x))

eval260.0ms (5.4%)

Memory
12.3MiB live, 245.6MiB allocated
Compiler

Compiled 21 748 to 3 298 computations (84.8% saved)

prune27.0ms (0.6%)

Memory
-14.0MiB live, 69.9MiB allocated
Pruning

13 alts after pruning (4 fresh and 9 done)

PrunedKeptTotal
New9904994
Fresh101
Picked325
Done077
Total994131 007
Accuracy
100.0%
Counts
1 007 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.6%
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
92.3%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))
60.9%
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x) y) (fma.f64 x y x))
51.2%
(/.f64 (*.f64 #s(approx (+ (* y y) -1) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
60.7%
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
98.6%
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal 1 binary64) y)))
98.7%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)))
60.7%
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
99.8%
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
53.5%
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
99.8%
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
60.7%
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
54.2%
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
Compiler

Compiled 483 to 218 computations (54.9% saved)

regimes106.0ms (2.2%)

Memory
1.0MiB live, 38.8MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
(/.f64 (*.f64 #s(approx (+ (* y y) -1) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) y)
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)))
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (neg.f64 y) x) y x) x) y) (fma.f64 x y x))
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) y) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) y) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y x))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 (neg.f64 y) x) y x)) (-.f64 x (*.f64 (neg.f64 y) x))) y)
(/.f64 #s(literal -1 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) x) (*.f64 (neg.f64 y) x))) (-.f64 x (*.f64 (neg.f64 y) x))) y)
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (* (* x (- 1 y)) y)) (/.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) y) y)))
(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (+.f64 y (pow.f64 y #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x)))
(/.f64 (*.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
Calls

3 calls:

89.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
8.0ms
x
7.0ms
y
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes24.0ms (0.5%)

Memory
-21.3MiB live, 16.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Outputs
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Calls

3 calls:

19.0ms
x
2.0ms
y
2.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1y
99.8%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
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
70.4%2x
97.9%3y
90.8%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
7.8MiB live, 7.8MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Outputs
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x))
Calls

2 calls:

1.0ms
y
1.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
83.5%2(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
90.6%3y
Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory
14.6MiB live, 14.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
y
1.0ms
x
1.0ms
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
Results
AccuracySegmentsBranch
54.2%1x
54.2%1(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))
54.2%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch57.0ms (1.2%)

Memory
-9.0MiB live, 73.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
3.4242386194487974e-13
14365.55008049596
40.0ms
-1.7277636117579556
-4.580575392085138e-8
Samples
12.0ms304×0valid
Compiler

Compiled 371 to 353 computations (4.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (68.1% of total)
ival-sub: 1.0ms (17% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.6MiB live, 3.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.4242386194487974e-13
14365.55008049596
1.0ms
-1.7277636117579556
-4.580575392085138e-8
Compiler

Compiled 447 to 391 computations (12.5% saved)

simplify24.0ms (0.5%)

Memory
4.7MiB live, 43.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026105
142105
251105
361105
466105
569105
670105
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.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))))
(*.f64 (*.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
Outputs
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y)
(*.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)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (*.f64 x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x 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)) #s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (*.f64 x y)) #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)))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) (*.f64 x y))

soundness742.0ms (15.5%)

Memory
-30.2MiB live, 287.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
0913
13013
216513
3134313
0956212
02742
17042
216542
326342
463542
5211242
6419442
7569542
8657242
9714942
10777542
0828642
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 132 to 52 computations (60.6% saved)

preprocess103.0ms (2.2%)

Memory
-7.6MiB live, 80.2MiB allocated
Remove

(negabs x)

Compiler

Compiled 280 to 114 computations (59.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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