Numeric.SpecFunctions:log1p from math-functions-0.1.5.2, A

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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)

sample642.0ms (11.4%)

Memory
10.4MiB live, 1 032.7MiB allocated
Samples
419.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-mult: 133.0ms (67.7% of total)
ival-sub: 49.0ms (25% of total)
ival-true: 6.0ms (3.1% of total)
exact: 5.0ms (2.5% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

explain70.0ms (1.3%)

Memory
16.9MiB live, 115.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-y
00-0-(-.f64 #s(literal 1 binary64) (*.f64 x y))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
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
28.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 7.0ms (46.5% of total)
ival-mult: 7.0ms (46.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess41.0ms (0.7%)

Memory
-2.9MiB live, 41.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01637
14437
211235
320635
436535
551435
674935
787335
889235
989235
067
097
1167
2317
3657
41407
52437
63327
75057
85277
05277
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (neg.f64 x) x) y 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
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify12.0ms (0.2%)

Memory
12.8MiB live, 12.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11618
23118
36518
414018
524318
633218
750518
852718
052718
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
x
(-.f64 #s(literal 1 binary64) (*.f64 x y))
#s(literal 1 binary64)
(*.f64 x y)
y
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (*.f64 (neg.f64 x) x) y x)
x
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x y)
(*.f64 y x)
y

localize28.0ms (0.5%)

Memory
-17.9MiB live, 26.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy0.0
(*.f64 x y)
accuracy0.0546875
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Samples
13.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 5.0ms (69.5% of total)
ival-sub: 1.0ms (13.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
3 → 15
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
Outputs
x
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(* x y)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (+ (* -1 y) (/ 1 x)))
(+ x (* -1 (* (pow x 2) y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* y (+ (* -1 x) (/ 1 y)))
Calls

6 calls:

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

simplify228.0ms (4.1%)

Memory
32.4MiB live, 212.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03485
111275
225875
381075
4346075
0810675
Stop Event
iter limit
node limit
Counts
15 → 14
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
1
(+ 1 (* -1 (* x y)))
(* x y)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* x (+ (* -1 y) (/ 1 x)))
(+ x (* -1 (* (pow x 2) y)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* y (+ (* -1 x) (/ 1 y)))
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))

rewrite248.0ms (4.4%)

Memory
-24.2MiB live, 402.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13015
217615
3144915
0891213
Stop Event
iter limit
node limit
iter limit
Counts
3 → 375
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
Outputs
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) (/.f64 x (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(*.f64 (/.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal 1 binary64))))
(*.f64 x (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y)))) (+.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (neg.f64 x) y) x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y)) (*.f64 x (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (*.f64 x (*.f64 (*.f64 x x) y)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 (neg.f64 x) y) x) x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (+.f64 x (*.f64 (*.f64 x x) y)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) x)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 (*.f64 x x) y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 x) y) x))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) x) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (*.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 x (*.f64 (*.f64 (neg.f64 x) y) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 x (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (/.f64 (*.f64 x (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))) (/.f64 x (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))) (/.f64 (*.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64))))
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(fabs.f64 (*.f64 (neg.f64 x) y))
(fabs.f64 (*.f64 y x))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 y x))) (sinh.f64 (log.f64 (*.f64 y x))))

eval52.0ms (0.9%)

Memory
-11.3MiB live, 181.0MiB allocated
Compiler

Compiled 10 774 to 1 179 computations (89.1% saved)

prune11.0ms (0.2%)

Memory
-0.7MiB live, 54.9MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3747381
Fresh000
Picked011
Done000
Total3748382
Accuracy
100.0%
Counts
382 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
78.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
66.9%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
72.9%
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
33.5%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))))
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
46.6%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
55.6%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
Compiler

Compiled 231 to 150 computations (35.1% saved)

simplify385.0ms (6.9%)

Memory
16.2MiB live, 450.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (*.f64 (*.f64 x x) y))
cost-diff0
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y)))
cost-diff0
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff0
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
cost-diff0
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 x (neg.f64 x))
cost-diff0
(fma.f64 (*.f64 x (neg.f64 x)) y x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027161
047161
178161
2152161
3371161
41006161
52081161
63473161
73947161
84511161
95895161
08770161
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 x (neg.f64 x))
x
(neg.f64 x)
y
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
x
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
y
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))))
x
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y)))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))
(sqrt.f64 (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
y
(sqrt.f64 y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(fma.f64 y x #s(literal 1 binary64))
Outputs
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(fma.f64 y (*.f64 (neg.f64 x) x) x)
(*.f64 x (neg.f64 x))
(*.f64 (neg.f64 x) x)
x
(neg.f64 x)
y
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 #s(approx (- 1 (* x y)) #s(literal 1 binary64)) x)
x
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x))) x)
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
#s(approx (- 1 (* x y)) (*.f64 y (neg.f64 x)))
(*.f64 (neg.f64 x) y)
(*.f64 y (neg.f64 x))
(neg.f64 x)
y
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))))
(fma.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (neg.f64 x)) (sqrt.f64 y) x)
x
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y)))
(neg.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 x x) y)) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 (*.f64 x x) y)))
(sqrt.f64 (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
y
(sqrt.f64 y)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
x
#s(literal 2 binary64)
(fma.f64 y x #s(literal 1 binary64))

localize99.0ms (1.8%)

Memory
15.1MiB live, 158.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 y x)
accuracy0.07650375976844202
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy0.952859294330236
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
accuracy6.574483220083227
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy0.03125
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))))
accuracy0.078125
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))
accuracy4.157192190826351
(*.f64 (*.f64 x x) y)
accuracy9.820350959057796
(sqrt.f64 (*.f64 (*.f64 x x) y))
accuracy0.0
(*.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy0.03515625
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
accuracy14.226046816593309
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
accuracy0.03515625
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
accuracy14.657608327475648
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x (neg.f64 x))
accuracy0.0
(neg.f64 x)
accuracy2.811007408753132
(fma.f64 (*.f64 x (neg.f64 x)) y x)
Samples
61.0ms139×0invalid
21.0ms117×0valid
Compiler

Compiled 152 to 27 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 64.0ms
ival-mult: 46.0ms (72.2% of total)
ival-sqrt: 6.0ms (9.4% of total)
ival-sub: 4.0ms (6.3% of total)
ival-add: 3.0ms (4.7% of total)
ival-pow2: 3.0ms (4.7% of total)
ival-div: 2.0ms (3.1% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series25.0ms (0.4%)

Memory
-27.7MiB live, 63.2MiB allocated
Counts
18 → 39
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 x (neg.f64 x))
(neg.f64 x)
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))
(sqrt.f64 (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) y)
(*.f64 y x)
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (pow x 2))
(* -1 x)
1
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* x y)
(* x (sqrt y))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) y)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (- (/ 1 x) y))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* x (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* -1 (* x (sqrt y)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* y (+ (* -1 x) (/ 1 y)))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y)))))
(* x (* y (pow (sqrt -1) 2)))
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
x
@0
((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (* x (- 1 (* (sqrt (* (* x x) y)) (sqrt y)))) (- 1 (* (sqrt (* (* x x) y)) (sqrt y))) (* (sqrt (* (* x x) y)) (sqrt y)) (sqrt (* (* x x) y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (* x x) y) (* y x))
5.0ms
y
@-inf
((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (* x (- 1 (* (sqrt (* (* x x) y)) (sqrt y)))) (- 1 (* (sqrt (* (* x x) y)) (sqrt y))) (* (sqrt (* (* x x) y)) (sqrt y)) (sqrt (* (* x x) y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (* x x) y) (* y x))
4.0ms
x
@inf
((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (* x (- 1 (* (sqrt (* (* x x) y)) (sqrt y)))) (- 1 (* (sqrt (* (* x x) y)) (sqrt y))) (* (sqrt (* (* x x) y)) (sqrt y)) (sqrt (* (* x x) y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (* x x) y) (* y x))
3.0ms
x
@-inf
((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (* x (- 1 (* (sqrt (* (* x x) y)) (sqrt y)))) (- 1 (* (sqrt (* (* x x) y)) (sqrt y))) (* (sqrt (* (* x x) y)) (sqrt y)) (sqrt (* (* x x) y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (* x x) y) (* y x))
3.0ms
y
@inf
((+ (* (* x (neg x)) y) x) (* x (neg x)) (neg x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (* x (- 1 (* (sqrt (* (* x x) y)) (sqrt y)))) (- 1 (* (sqrt (* (* x x) y)) (sqrt y))) (* (sqrt (* (* x x) y)) (sqrt y)) (sqrt (* (* x x) y)) (/ (* (- 1 (pow (* y x) 2)) x) (+ (* y x) 1)) (* (- 1 (pow (* y x) 2)) x) (- 1 (pow (* y x) 2)) (pow (* y x) 2) (* (* x x) y) (* y x))

simplify74.0ms (1.3%)

Memory
25.5MiB live, 123.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
082268
1261235
2752235
02925233
Stop Event
iter limit
iter limit
node limit
Counts
39 → 38
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (pow x 2))
(* -1 x)
1
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* x y)
(* x (sqrt y))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* (pow x 2) y)
(* -1 (* (pow x 2) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* x (- (/ 1 x) y))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* x (+ (* -1 y) (/ 1 x)))
(* (pow x 2) (+ y (/ 1 x)))
(* x (+ y (/ 1 x)))
(* -1 (* x (sqrt y)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* y (+ (* -1 x) (/ 1 y)))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y)))))
(* x (* y (pow (sqrt -1) 2)))
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 x)
(neg.f64 x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x y)
(*.f64 y x)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 y) (*.f64 x x))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) y) y)
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (*.f64 y y) x) (neg.f64 x))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (*.f64 y y) x) (neg.f64 x) #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* (pow x 2) (+ y (/ 1 x)))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(* x (+ y (/ 1 x)))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* x (sqrt y)))
(*.f64 (sqrt.f64 y) (neg.f64 x))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) (*.f64 x x))
(* -1 (* y (+ (* -1 (* (pow x 2) (pow (sqrt -1) 2))) (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) x)
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(*.f64 y x)
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)

rewrite407.0ms (7.3%)

Memory
-23.5MiB live, 295.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027137
047119
1157116
289395
0935495
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 317
Calls
Call 1
Inputs
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 x (neg.f64 x))
(neg.f64 x)
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y)))
(*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))
(sqrt.f64 (*.f64 (*.f64 x x) y))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 (*.f64 x x) y)
(*.f64 y x)
Outputs
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 4 binary64)) (pow.f64 (fma.f64 x x (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 6 binary64)) (pow.f64 (fma.f64 x x (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 4 binary64)) (*.f64 (fma.f64 x x (*.f64 (pow.f64 x #s(literal 3 binary64)) y)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))))))))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (fma.f64 x x (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))))))
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (/.f64 x (fma.f64 y x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (/.f64 x (fma.f64 y x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (/.f64 x (fma.f64 y x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 y x) #s(literal 8 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))) (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (/.f64 x (fma.f64 y x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 3 binary64)))) (-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 8 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (-.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)))) (-.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (*.f64 x (/.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal -1 binary64)))) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (*.f64 x (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (fma.f64 y x #s(literal -1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (*.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (fma.f64 y x #s(literal -1 binary64))) (fma.f64 y x #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (fma.f64 y x #s(literal -1 binary64))) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (-.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (fma.f64 y x #s(literal -1 binary64))))
(*.f64 x (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 y x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (/.f64 x (fma.f64 y x #s(literal -1 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (/.f64 x (fma.f64 y x #s(literal -1 binary64)))) (neg.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (-.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (fma.f64 y x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (fma.f64 y x #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))))) (neg.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (-.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))) (*.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))))))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (fma.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))))) (-.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))))))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 y (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (/.f64 x (fma.f64 y x #s(literal -1 binary64))))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (/.f64 x (fma.f64 y x #s(literal -1 binary64))))) (neg.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) x)) (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) x)) (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (fma.f64 y x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x)) (-.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
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(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 (*.f64 x x) y)) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 (*.f64 x x) y)) #s(literal 1/2 binary64) (*.f64 (log.f64 y) #s(literal 1/2 binary64))))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 y x)))
(+.f64 (cosh.f64 (log.f64 (*.f64 y x))) (sinh.f64 (log.f64 (*.f64 y x))))

eval150.0ms (2.7%)

Memory
-28.4MiB live, 198.8MiB allocated
Compiler

Compiled 21 098 to 2 993 computations (85.8% saved)

prune22.0ms (0.4%)

Memory
7.8MiB live, 67.9MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New8963899
Fresh022
Picked235
Done011
Total8989907
Accuracy
100.0%
Counts
907 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
78.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
66.9%
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
72.9%
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
23.8%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
46.6%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
55.6%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
42.1%
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
Compiler

Compiled 243 to 148 computations (39.1% saved)

simplify128.0ms (2.3%)

Memory
14.5MiB live, 203.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
cost-diff1
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
cost-diff2
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff2
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
cost-diff0
(*.f64 y x)
cost-diff0
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
cost-diff0
(*.f64 (sqrt.f64 y) x)
cost-diff0
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y))))
cost-diff0
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
cost-diff4
(*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))
cost-diff0
(*.f64 x x)
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) (*.f64 x x))
cost-diff0
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
cost-diff2
(*.f64 (*.f64 y x) (*.f64 y x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045360
079352
1162349
2472334
32684328
08725327
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
#s(literal 1 binary64)
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 y x)
y
x
(fma.f64 y x #s(literal 1 binary64))
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (neg.f64 y) (*.f64 x x))
(neg.f64 y)
y
(*.f64 x x)
x
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
x
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y))))
(*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
y
(neg.f64 (sqrt.f64 y))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
y
x
#s(literal 3 binary64)
(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
x
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) y #s(literal -1 binary64))
(neg.f64 x)
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y x #s(literal 1 binary64))
Outputs
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 y x) (*.f64 y x))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 y x)
(*.f64 x y)
y
x
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (*.f64 (neg.f64 x) y) x))
(*.f64 (neg.f64 y) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) y) x)
(neg.f64 y)
y
(*.f64 x x)
x
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x)
x
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y))))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))
(*.f64 (neg.f64 x) y)
(*.f64 (sqrt.f64 y) x)
(sqrt.f64 y)
y
(neg.f64 (sqrt.f64 y))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 y x)
(*.f64 x y)
y
x
#s(literal 3 binary64)
(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(/.f64 x (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64)))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 (fma.f64 x y #s(literal 1 binary64)) (*.f64 x y) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) x))
x
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 x y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 y x)
(*.f64 x y)
y
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) y #s(literal -1 binary64))
(neg.f64 x)
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))

localize204.0ms (3.6%)

Memory
13.6MiB live, 297.2MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.195910017338986
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy0.195910017338986
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
accuracy7.453837343082555
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy8.94153626546408
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
accuracy0.0390625
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
accuracy0.07326127930532605
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy0.9254077387954911
(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
accuracy10.431777048086852
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
accuracy0.03515625
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
accuracy0.078125
(*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))
accuracy0.109375
(*.f64 (sqrt.f64 y) x)
accuracy14.226046816593309
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y))))
accuracy0.0
(*.f64 x x)
accuracy0.0
(neg.f64 y)
accuracy4.157192190826351
(*.f64 (neg.f64 y) (*.f64 x x))
accuracy13.95508316351558
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
accuracy0.0
(*.f64 y x)
accuracy0.07650375976844202
(*.f64 (*.f64 y x) (*.f64 y x))
accuracy0.952859294330236
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
accuracy6.574483220083227
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
Samples
92.0ms139×0invalid
54.0ms117×0valid
Compiler

Compiled 356 to 47 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-add: 40.0ms (40% of total)
ival-mult: 25.0ms (25% of total)
ival-pow: 12.0ms (12% of total)
ival-div: 8.0ms (8% of total)
ival-sub: 5.0ms (5% of total)
ival-neg: 4.0ms (4% of total)
ival-sqrt: 2.0ms (2% of total)
ival-pow2: 2.0ms (2% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series134.0ms (2.4%)

Memory
-36.4MiB live, 199.7MiB allocated
Counts
24 → 111
Calls
Call 1
Inputs
(*.f64 (*.f64 y x) (*.f64 y x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (neg.f64 y) (*.f64 x x))
(neg.f64 y)
(*.f64 x x)
(*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y))))
(*.f64 (sqrt.f64 y) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
Outputs
(* (pow x 2) (pow y 2))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (* (pow x 2) y))
(pow x 2)
(* -1 (* x y))
(+ 1 (* -1 (* x y)))
(* x (sqrt y))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* x y)
(* x (+ 1 (* x (+ (* -1 y) (* (pow x 3) (- (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* -1 (pow y 4))))))))
(* x (+ 1 (* x (+ (* -1 y) (* (pow x 3) (- (+ (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* x (+ (* -1 (pow y 5)) (* y (- (* -1 (pow y 4)) (* -2 (pow y 4))))))) (* -1 (pow y 4))))))))
(+ 1 (* x (- (* (pow x 3) (- (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* -1 (pow y 4)))) y)))
(+ 1 (* x (- (* (pow x 3) (- (+ (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* x (+ (* -1 (pow y 5)) (* y (- (* -1 (pow y 4)) (* -2 (pow y 4))))))) (* -1 (pow y 4)))) y)))
-1
(- (* x y) 1)
(- (* x (- (* -1 (* x (pow y 2))) (* -1 y))) 1)
(- (* x (- (* x (- (* x (pow y 3)) (pow y 2))) (* -1 y))) 1)
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(+ 1 (* x (- (* x (pow y 2)) y)))
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* x (- (/ 1 x) y))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* x (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) x)
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(/ 1 (* x y))
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* -1 y)
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (+ (* -1 (pow x 2)) (* x (* (pow y 3) (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4))))))))
(+ x (* y (+ (* -1 (pow x 2)) (* (pow y 3) (+ (* x (* y (+ (* -1 (pow x 5)) (* x (- (* -1 (pow x 4)) (* -2 (pow x 4))))))) (* x (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4)))))))))
(+ 1 (* y (- (* (pow y 3) (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4)))) x)))
(+ 1 (* y (- (* (pow y 3) (- (+ (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* y (+ (* -1 (pow x 5)) (* x (- (* -1 (pow x 4)) (* -2 (pow x 4))))))) (* -1 (pow x 4)))) x)))
(- (* y (- (* -1 (* (pow x 2) y)) (* -1 x))) 1)
(- (* y (- (* y (- (* (pow x 3) y) (pow x 2))) (* -1 x))) 1)
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (* -1 (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ 1 (* y (+ x (* (pow x 2) y))))
(+ 1 (* y (- (* (pow x 2) y) x)))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* y (- (/ 1 y) x))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* y (+ (* -1 x) (/ 1 y)))
(/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)
(/ (- (/ 1 (* (pow x 2) y)) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) y)
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* x (* y (pow (sqrt -1) 2)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2))) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
Calls

6 calls:

TimeVariablePointExpression
40.0ms
y
@inf
((* (* y x) (* y x)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (+ (* (* x (neg x)) y) x) (* (neg y) (* x x)) (neg y) (* x x) (* (* (sqrt y) x) (neg (sqrt y))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt y) x) (* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (* x (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1))) (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1)) (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2))) (pow (+ (* y x) 1) -1))
29.0ms
y
@0
((* (* y x) (* y x)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (+ (* (* x (neg x)) y) x) (* (neg y) (* x x)) (neg y) (* x x) (* (* (sqrt y) x) (neg (sqrt y))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt y) x) (* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (* x (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1))) (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1)) (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2))) (pow (+ (* y x) 1) -1))
13.0ms
x
@0
((* (* y x) (* y x)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (+ (* (* x (neg x)) y) x) (* (neg y) (* x x)) (neg y) (* x x) (* (* (sqrt y) x) (neg (sqrt y))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt y) x) (* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (* x (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1))) (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1)) (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2))) (pow (+ (* y x) 1) -1))
12.0ms
x
@inf
((* (* y x) (* y x)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (+ (* (* x (neg x)) y) x) (* (neg y) (* x x)) (neg y) (* x x) (* (* (sqrt y) x) (neg (sqrt y))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt y) x) (* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (* x (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1))) (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1)) (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2))) (pow (+ (* y x) 1) -1))
9.0ms
x
@-inf
((* (* y x) (* y x)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (+ (* (* x (neg x)) y) x) (* (neg y) (* x x)) (neg y) (* x x) (* (* (sqrt y) x) (neg (sqrt y))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt y) x) (* (- 1 (pow (* y x) 3)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (pow (* y x) 3)) (pow (* y x) 3) (* y x) (* x (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1))) (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1)) (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (+ (* (+ (* y x) 1) (* y x)) 1) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2))) (pow (+ (* y x) 1) -1))

simplify134.0ms (2.4%)

Memory
52.6MiB live, 233.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04281609
113431502
242901457
085531432
Stop Event
iter limit
node limit
Counts
111 → 110
Calls
Call 1
Inputs
(* (pow x 2) (pow y 2))
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* -1 (* (pow x 2) y))
(pow x 2)
(* -1 (* x y))
(+ 1 (* -1 (* x y)))
(* x (sqrt y))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* x y)
(* x (+ 1 (* x (+ (* -1 y) (* (pow x 3) (- (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* -1 (pow y 4))))))))
(* x (+ 1 (* x (+ (* -1 y) (* (pow x 3) (- (+ (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* x (+ (* -1 (pow y 5)) (* y (- (* -1 (pow y 4)) (* -2 (pow y 4))))))) (* -1 (pow y 4))))))))
(+ 1 (* x (- (* (pow x 3) (- (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* -1 (pow y 4)))) y)))
(+ 1 (* x (- (* (pow x 3) (- (+ (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* x (+ (* -1 (pow y 5)) (* y (- (* -1 (pow y 4)) (* -2 (pow y 4))))))) (* -1 (pow y 4)))) y)))
-1
(- (* x y) 1)
(- (* x (- (* -1 (* x (pow y 2))) (* -1 y))) 1)
(- (* x (- (* x (- (* x (pow y 3)) (pow y 2))) (* -1 y))) 1)
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(+ 1 (* x (- (* x (pow y 2)) y)))
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* (pow x 3) (pow y 2)))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(* -1 (* (pow x 2) (pow y 2)))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(* x (- (/ 1 x) y))
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(* x (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) x)
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(/ 1 (* x y))
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* -1 (* x (- y (/ 1 x))))
(* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* -1 y)
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (+ (* -1 (pow x 2)) (* x (* (pow y 3) (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4))))))))
(+ x (* y (+ (* -1 (pow x 2)) (* (pow y 3) (+ (* x (* y (+ (* -1 (pow x 5)) (* x (- (* -1 (pow x 4)) (* -2 (pow x 4))))))) (* x (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4)))))))))
(+ 1 (* y (- (* (pow y 3) (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4)))) x)))
(+ 1 (* y (- (* (pow y 3) (- (+ (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* y (+ (* -1 (pow x 5)) (* x (- (* -1 (pow x 4)) (* -2 (pow x 4))))))) (* -1 (pow x 4)))) x)))
(- (* y (- (* -1 (* (pow x 2) y)) (* -1 x))) 1)
(- (* y (- (* y (- (* (pow x 3) y) (pow x 2))) (* -1 x))) 1)
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (* -1 (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ 1 (* y (+ x (* (pow x 2) y))))
(+ 1 (* y (- (* (pow x 2) y) x)))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* y (- (/ 1 y) x))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* y (+ (* -1 x) (/ 1 y)))
(/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)
(/ (- (/ 1 (* (pow x 2) y)) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) y)
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* x (* y (pow (sqrt -1) 2)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2))) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
Outputs
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) x) #s(literal 1 binary64))
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 x y))
(pow x 2)
(*.f64 x x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* (pow x 3) (pow y 3))
(pow.f64 (*.f64 x y) #s(literal 3 binary64))
(* x y)
(*.f64 x y)
(* x (+ 1 (* x (+ (* -1 y) (* (pow x 3) (- (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* -1 (pow y 4))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* x (+ 1 (* x (+ (* -1 y) (* (pow x 3) (- (+ (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* x (+ (* -1 (pow y 5)) (* y (- (* -1 (pow y 4)) (* -2 (pow y 4))))))) (* -1 (pow y 4))))))))
(fma.f64 (fma.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))) x #s(literal 0 binary64)) (pow.f64 x #s(literal 3 binary64)) (neg.f64 y)) (*.f64 x x) x)
(+ 1 (* x (- (* (pow x 3) (- (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* -1 (pow y 4)))) y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(+ 1 (* x (- (* (pow x 3) (- (+ (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* x (+ (* -1 (pow y 5)) (* y (- (* -1 (pow y 4)) (* -2 (pow y 4))))))) (* -1 (pow y 4)))) y)))
(fma.f64 (neg.f64 x) y (fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))) x #s(literal 0 binary64)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* x y) 1)
(-.f64 (*.f64 x y) #s(literal 1 binary64))
(- (* x (- (* -1 (* x (pow y 2))) (* -1 y))) 1)
(-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) y) #s(literal 1 binary64))
(- (* x (- (* x (- (* x (pow y 3)) (pow y 2))) (* -1 y))) 1)
(-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 x y #s(literal -1 binary64))) x y) x) #s(literal 1 binary64))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) x (neg.f64 y)) x #s(literal 1 binary64)) x)
(+ 1 (* x y))
(fma.f64 x y #s(literal 1 binary64))
(+ 1 (* x (+ y (* x (pow y 2)))))
(fma.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) y) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (pow y 2)) y)))
(fma.f64 (*.f64 y (-.f64 (*.f64 x y) #s(literal 1 binary64))) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))
(fma.f64 (fma.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) y)) x (neg.f64 y)) x #s(literal 1 binary64))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* -1 (* (pow x 3) (pow y 2)))
(*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (neg.f64 x) (*.f64 (*.f64 y y) x))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) x)
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* (pow x 3) (pow y 3)))
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* x (+ (* -1 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(/ -1 (* x y))
(/.f64 (/.f64 #s(literal -1 binary64) y) x)
(/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y))) x)
(/ 1 (* x (pow y 2)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))
(/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y))
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (/ 1 (* x (pow y 3)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) x)
(* (pow x 2) (+ (/ y x) (pow y 2)))
(*.f64 (*.f64 (fma.f64 y y (/.f64 y x)) x) x)
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(fma.f64 (fma.f64 y y (/.f64 y x)) (*.f64 x x) #s(literal 1 binary64))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) y)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 #s(literal 1 binary64) y)) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x)
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y)) x)
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y))) x)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x) (/.f64 #s(literal -1 binary64) y)) x)
(* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (neg.f64 x))
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(*.f64 (fma.f64 y y (/.f64 (-.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))) (*.f64 x x))
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (neg.f64 x))
(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) (neg.f64 y) x)
(* -1 y)
(neg.f64 y)
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(+ x (* y (+ (* -1 (pow x 2)) (* x (* (pow y 3) (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(+ x (* y (+ (* -1 (pow x 2)) (* (pow y 3) (+ (* x (* y (+ (* -1 (pow x 5)) (* x (- (* -1 (pow x 4)) (* -2 (pow x 4))))))) (* x (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4)))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(+ 1 (* y (- (* (pow y 3) (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4)))) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(+ 1 (* y (- (* (pow y 3) (- (+ (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* y (+ (* -1 (pow x 5)) (* x (- (* -1 (pow x 4)) (* -2 (pow x 4))))))) (* -1 (pow x 4)))) x)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(- (* y (- (* -1 (* (pow x 2) y)) (* -1 x))) 1)
(-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) y) #s(literal 1 binary64))
(- (* y (- (* y (- (* (pow x 3) y) (pow x 2))) (* -1 x))) 1)
(-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 x y #s(literal -1 binary64))) y x) y) #s(literal 1 binary64))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (* -1 (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) y (*.f64 (neg.f64 x) x)) y x)
(+ 1 (* y (+ x (* (pow x 2) y))))
(fma.f64 (*.f64 (fma.f64 x y #s(literal 1 binary64)) y) x #s(literal 1 binary64))
(+ 1 (* y (- (* (pow x 2) y) x)))
(fma.f64 (*.f64 y (-.f64 (*.f64 x y) #s(literal 1 binary64))) x #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
(fma.f64 (-.f64 (*.f64 x (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x) y)) x) y #s(literal 1 binary64))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(*.f64 (-.f64 (/.f64 (/.f64 x y) y) (pow.f64 x #s(literal 3 binary64))) (*.f64 y y))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (*.f64 x x)) (*.f64 y y))
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (/ 1 (* (pow x 2) y)) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) y)
(/.f64 (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) y) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) y)
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64)))) (*.f64 y y))
(* (pow y 2) (+ (/ x y) (pow x 2)))
(*.f64 (*.f64 (fma.f64 x x (/.f64 x y)) y) y)
(* (pow y 2) (+ (/ 1 (pow y 2)) (+ (/ x y) (pow x 2))))
(fma.f64 (fma.f64 x x (/.f64 x y)) (*.f64 y y) #s(literal 1 binary64))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y)
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x)) y)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 x) x (/.f64 x y)) y)
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 x) y)
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))
(* -1 (* y (- x (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) y))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y))) y)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y))) y)
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 y y))
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2))) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) (*.f64 y y))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(*.f64 (fma.f64 x x (/.f64 (-.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)) (neg.f64 y))) (*.f64 y y))
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))

rewrite280.0ms (5%)

Memory
-44.1MiB live, 399.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045289
079282
1304267
22226245
08520243
Stop Event
iter limit
node limit
iter limit
Counts
24 → 849
Calls
Call 1
Inputs
(*.f64 (*.f64 y x) (*.f64 y x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 (neg.f64 y) (*.f64 x x))
(neg.f64 y)
(*.f64 x x)
(*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y))))
(*.f64 (sqrt.f64 y) x)
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 y x)
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
Outputs
(*.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 x) y))) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) y))))
(*.f64 (fabs.f64 (*.f64 (*.f64 y y) x)) x)
(*.f64 (fabs.f64 (*.f64 (*.f64 y y) (neg.f64 x))) x)
(*.f64 (fabs.f64 (*.f64 (*.f64 (neg.f64 x) y) y)) x)
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))) x)
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 x x))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) y))
(*.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y))) (*.f64 x y))
(*.f64 (fabs.f64 (*.f64 (*.f64 x y) y)) x)
(*.f64 (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (*.f64 (*.f64 y y) (neg.f64 x)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 x) y) y) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)) (*.f64 x y))
(*.f64 (pow.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 x y) y) #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 1 binary64)) y)
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 y y))
(*.f64 (*.f64 (*.f64 y y) x) x)
(*.f64 (*.f64 (*.f64 y y) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (neg.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y)) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (neg.f64 (*.f64 (neg.f64 x) y)))
(*.f64 (*.f64 (*.f64 x x) y) y)
(*.f64 (*.f64 (*.f64 x y) y) x)
(*.f64 (*.f64 y y) (pow.f64 (*.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 y y) (*.f64 x x))
(*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) (*.f64 y (*.f64 (neg.f64 x) y)))
(*.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) (pow.f64 (*.f64 y #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (*.f64 x x) (*.f64 y y))
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(*.f64 (*.f64 x y) (*.f64 x y))
(*.f64 x (fabs.f64 (*.f64 y (*.f64 (neg.f64 x) y))))
(*.f64 x (fabs.f64 (*.f64 (*.f64 x y) y)))
(*.f64 x (pow.f64 (*.f64 y (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 (*.f64 (*.f64 x y) y) #s(literal 1 binary64)))
(*.f64 x (*.f64 (*.f64 x y) y))
(*.f64 y (fabs.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y))))
(*.f64 y (pow.f64 (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
(*.f64 y (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 1 binary64)))
(*.f64 y (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) y)))
(*.f64 y (*.f64 (*.f64 x x) y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x y)))
(pow.f64 (neg.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 x) y) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(neg.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))
(*.f64 x (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x))) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) x)) (neg.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) x)) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 x y #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (/.f64 x (fma.f64 x y #s(literal 1 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (fma.f64 x y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) x) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 x y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) x) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (fma.f64 x y #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x) (fma.f64 x y #s(literal 1 binary64)))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (fma.f64 x y #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x)
(*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) x)) (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) x)) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) x) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) x) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64))) x))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 x (neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
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(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 6 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(-.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 (*.f64 (neg.f64 x) y)) (*.f64 x y)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64))) (fabs.f64 (-.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x y))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (*.f64 x y) #s(literal 1 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) (+.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) #s(literal -1 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 x y)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 x y) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) y #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (*.f64 x y)))
(pow.f64 (exp.f64 (log.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 x y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 x y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fma.f64 x y #s(literal 1 binary64)))
(neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -2 binary64)))
(fabs.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 x y)) #s(literal -1/2 binary64) (*.f64 (log1p.f64 (*.f64 x y)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x y))))
(+.f64 (cosh.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 x y)))) (sinh.f64 (neg.f64 (log1p.f64 (*.f64 x y)))))

eval367.0ms (6.5%)

Memory
55.0MiB live, 365.1MiB allocated
Compiler

Compiled 42 612 to 4 699 computations (89% saved)

prune82.0ms (1.5%)

Memory
-23.2MiB live, 78.4MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1 19231 195
Fresh000
Picked235
Done044
Total1 194101 204
Accuracy
100.0%
Counts
1 204 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
78.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
66.5%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
19.3%
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))))
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
23.8%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
46.6%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
55.6%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
42.1%
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
35.7%
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 168 to 108 computations (35.7% saved)

simplify156.0ms (2.8%)

Memory
-13.8MiB live, 187.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
cost-diff2
(*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y))
cost-diff4
(*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)
cost-diff0
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))))
cost-diff1
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
cost-diff1
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
cost-diff2
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
cost-diff0
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
cost-diff0
(neg.f64 y)
cost-diff0
(*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
cost-diff0
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042321
072313
1140310
2342296
31511292
47740292
08023290
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(neg.f64 y)
y
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))))
x
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) y #s(literal -1 binary64))
(neg.f64 x)
#s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)
(*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y))
(*.f64 x y)
x
y
(*.f64 (*.f64 x y) y)
(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(*.f64 y x)
Outputs
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 y)))
(*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 4 binary64))) (neg.f64 y))
(neg.f64 y)
y
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))))
(*.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))) x)
x
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(fma.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 binary64))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(*.f64 y x)
y
#s(literal 2 binary64)
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
(-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) y #s(literal -1 binary64))
(neg.f64 x)
#s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (/.f64 #s(literal 1 binary64) y) x)
(/.f64 #s(literal 1 binary64) y)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
(*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) y)
(*.f64 x y)
(*.f64 y x)
x
y
(*.f64 (*.f64 x y) y)
(*.f64 (*.f64 y x) y)
(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
(fma.f64 y x #s(literal 1 binary64))
(*.f64 y x)

localize120.0ms (2.1%)

Memory
29.6MiB live, 359.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.109375
(*.f64 (*.f64 x y) y)
accuracy2.5749333044235954
(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
accuracy3.0603701689671112
(*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)
accuracy17.92575488013499
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
accuracy0.3273331249335637
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
accuracy14.50349112869704
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
accuracy17.137944508806154
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
accuracy35.00431430766696
#s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
accuracy0.0
(neg.f64 y)
accuracy8.147727331246076
(*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
accuracy14.283656653844758
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
accuracy34.14051138031373
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
Samples
83.0ms256×0valid
Compiler

Compiled 313 to 42 computations (86.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 20.0ms (30.8% of total)
ival-div: 11.0ms (17% of total)
ival-pow: 9.0ms (13.9% of total)
ival-add: 7.0ms (10.8% of total)
ival-sqrt: 5.0ms (7.7% of total)
ival-sub: 4.0ms (6.2% of total)
ival-neg: 4.0ms (6.2% of total)
ival-pow2: 4.0ms (6.2% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series34.0ms (0.6%)

Memory
-10.2MiB live, 126.8MiB allocated
Counts
16 → 88
Calls
Call 1
Inputs
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(neg.f64 y)
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))))
(*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)
(*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x))
#s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (*.f64 x y) y)
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(pow x 2)
1
(+ 1 (* -1 (* x y)))
(+ 1 (* x (- (* (pow x 3) (- (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* -1 (pow y 4)))) y)))
(+ 1 (* x (- (* (pow x 3) (- (+ (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* x (+ (* -1 (pow y 5)) (* y (- (* -1 (pow y 4)) (* -2 (pow y 4))))))) (* -1 (pow y 4)))) y)))
(* (pow x 2) (pow y 2))
-1
(- (* x y) 1)
(- (* x (- (* -1 (* x (pow y 2))) (* -1 y))) 1)
(- (* x (- (* x (- (* x (pow y 3)) (pow y 2))) (* -1 y))) 1)
(* x (+ 1 (* x (+ (* -1 y) (* (pow x 3) (- (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* -1 (pow y 4))))))))
(* x (+ 1 (* x (+ (* -1 y) (* (pow x 3) (- (+ (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* x (+ (* -1 (pow y 5)) (* y (- (* -1 (pow y 4)) (* -2 (pow y 4))))))) (* -1 (pow y 4))))))))
(* (pow x 3) (pow y 3))
(* (pow x 2) (pow y 3))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* x (- (* x (pow y 2)) y)))
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (pow y 2))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) x)
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(/ 1 (* x y))
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x)
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(* -1 (* x (- y (/ 1 x))))
(* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x))
(+ x (* -1 (* (pow x 2) y)))
(* -1 y)
(+ 1 (* y (- (* (pow y 3) (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4)))) x)))
(+ 1 (* y (- (* (pow y 3) (- (+ (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* y (+ (* -1 (pow x 5)) (* x (- (* -1 (pow x 4)) (* -2 (pow x 4))))))) (* -1 (pow x 4)))) x)))
(- (* y (- (* -1 (* (pow x 2) y)) (* -1 x))) 1)
(- (* y (- (* y (- (* (pow x 3) y) (pow x 2))) (* -1 x))) 1)
(+ x (* y (+ (* -1 (pow x 2)) (* x (* (pow y 3) (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4))))))))
(+ x (* y (+ (* -1 (pow x 2)) (* (pow y 3) (+ (* x (* y (+ (* -1 (pow x 5)) (* x (- (* -1 (pow x 4)) (* -2 (pow x 4))))))) (* x (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4)))))))))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ 1 (* y (- (* (pow x 2) y) x)))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (* -1 (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 x) (/ 1 y)))
(/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)
(/ (- (/ 1 (* (pow x 2) y)) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) y)
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y)
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2))) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
x
@0
((+ (* (* x (neg x)) y) x) (* (neg y) (sqrt (pow x 4))) (neg y) (sqrt (pow x 4)) (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1)) (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1)) (* x (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1))) (* (* (* x y) (* (* x y) y)) x) (* (* x y) (* (* x y) y)) (* (- 1 (* (* (* x y) (* (* x y) y)) x)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (* (* (* x y) (* (* x y) y)) x)) (pow (+ (* y x) 1) -1) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2))) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (* (* x y) y))
7.0ms
x
@-inf
((+ (* (* x (neg x)) y) x) (* (neg y) (sqrt (pow x 4))) (neg y) (sqrt (pow x 4)) (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1)) (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1)) (* x (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1))) (* (* (* x y) (* (* x y) y)) x) (* (* x y) (* (* x y) y)) (* (- 1 (* (* (* x y) (* (* x y) y)) x)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (* (* (* x y) (* (* x y) y)) x)) (pow (+ (* y x) 1) -1) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2))) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (* (* x y) y))
6.0ms
y
@-inf
((+ (* (* x (neg x)) y) x) (* (neg y) (sqrt (pow x 4))) (neg y) (sqrt (pow x 4)) (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1)) (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1)) (* x (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1))) (* (* (* x y) (* (* x y) y)) x) (* (* x y) (* (* x y) y)) (* (- 1 (* (* (* x y) (* (* x y) y)) x)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (* (* (* x y) (* (* x y) y)) x)) (pow (+ (* y x) 1) -1) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2))) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (* (* x y) y))
5.0ms
x
@inf
((+ (* (* x (neg x)) y) x) (* (neg y) (sqrt (pow x 4))) (neg y) (sqrt (pow x 4)) (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1)) (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1)) (* x (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1))) (* (* (* x y) (* (* x y) y)) x) (* (* x y) (* (* x y) y)) (* (- 1 (* (* (* x y) (* (* x y) y)) x)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (* (* (* x y) (* (* x y) y)) x)) (pow (+ (* y x) 1) -1) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2))) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (* (* x y) y))
4.0ms
y
@inf
((+ (* (* x (neg x)) y) x) (* (neg y) (sqrt (pow x 4))) (neg y) (sqrt (pow x 4)) (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1)) (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1)) (* x (+ (* (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (/ 1 (+ (* (neg x) y) -1))) (pow (+ (* y x) 1) -1))) (* (* (* x y) (* (* x y) y)) x) (* (* x y) (* (* x y) y)) (* (- 1 (* (* (* x y) (* (* x y) y)) x)) (/ x (+ (* (+ (* y x) 1) (* y x)) 1))) (- 1 (* (* (* x y) (* (* x y) y)) x)) (pow (+ (* y x) 1) -1) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2))) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)) (* (* x y) y))

simplify146.0ms (2.6%)

Memory
11.0MiB live, 201.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03721359
111421276
236601235
085891221
Stop Event
iter limit
node limit
Counts
88 → 87
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* -1 (* (pow x 2) y))
(pow x 2)
1
(+ 1 (* -1 (* x y)))
(+ 1 (* x (- (* (pow x 3) (- (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* -1 (pow y 4)))) y)))
(+ 1 (* x (- (* (pow x 3) (- (+ (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* x (+ (* -1 (pow y 5)) (* y (- (* -1 (pow y 4)) (* -2 (pow y 4))))))) (* -1 (pow y 4)))) y)))
(* (pow x 2) (pow y 2))
-1
(- (* x y) 1)
(- (* x (- (* -1 (* x (pow y 2))) (* -1 y))) 1)
(- (* x (- (* x (- (* x (pow y 3)) (pow y 2))) (* -1 y))) 1)
(* x (+ 1 (* x (+ (* -1 y) (* (pow x 3) (- (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* -1 (pow y 4))))))))
(* x (+ 1 (* x (+ (* -1 y) (* (pow x 3) (- (+ (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* x (+ (* -1 (pow y 5)) (* y (- (* -1 (pow y 4)) (* -2 (pow y 4))))))) (* -1 (pow y 4))))))))
(* (pow x 3) (pow y 3))
(* (pow x 2) (pow y 3))
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(+ 1 (* x (- (* x (pow y 2)) y)))
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))
(* x (+ 1 (* x (- (* x (- (* -1 (* x (+ (* -1 (* y (+ (* -1 (pow y 2)) (pow y 2)))) (* -1 (pow y 3))))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(* x (pow y 2))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (+ (* -1 y) (/ 1 x)))
(/ -1 (* x y))
(/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)
(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) x)
(* -1 (* (pow x 3) (pow y 3)))
(* (pow x 3) (- (/ 1 (pow x 3)) (pow y 3)))
(/ 1 (* x y))
(/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 (* x (pow y 2)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x)
(/ 1 (* x (pow y 2)))
(/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (/ 1 (* x (pow y 3)))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(* -1 (* x (- y (/ 1 x))))
(* -1 (/ (- (/ 1 y) (/ 1 (* x (pow y 2)))) x))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) x)) (/ 1 y)) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow y 3)) (/ 1 (* x (pow y 4)))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 4))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (/ 1 (pow y 3))) x)) (/ 1 (pow y 2))) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 2) (pow y 5))) (+ (/ 1 (* (pow x 3) (pow y 6))) (/ 1 (pow y 3)))) x)) (/ 1 (pow y 2))) x))
(+ x (* -1 (* (pow x 2) y)))
(* -1 y)
(+ 1 (* y (- (* (pow y 3) (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4)))) x)))
(+ 1 (* y (- (* (pow y 3) (- (+ (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* y (+ (* -1 (pow x 5)) (* x (- (* -1 (pow x 4)) (* -2 (pow x 4))))))) (* -1 (pow x 4)))) x)))
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(- (* y (- (* y (- (* (pow x 3) y) (pow x 2))) (* -1 x))) 1)
(+ x (* y (+ (* -1 (pow x 2)) (* x (* (pow y 3) (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4))))))))
(+ x (* y (+ (* -1 (pow x 2)) (* (pow y 3) (+ (* x (* y (+ (* -1 (pow x 5)) (* x (- (* -1 (pow x 4)) (* -2 (pow x 4))))))) (* x (- (* -1 (- (* -1 (pow x 4)) (* -2 (pow x 4)))) (* -1 (pow x 4)))))))))
(+ x (* y (- (* -1 (* y (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(+ 1 (* y (- (* (pow x 2) y) x)))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
(+ x (* y (- (* y (- (* -1 (* y (+ (* -1 (* x (+ (* -1 (pow x 3)) (pow x 3)))) (* -1 (pow x 4))))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (+ (* -1 x) (/ 1 y)))
(/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y)
(/ (- (/ 1 (* (pow x 2) y)) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) y)
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 (* (pow x 2) y))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y)
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* y (- x (/ 1 y))))
(* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2))) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 (* (pow x 2) y))
(*.f64 (neg.f64 x) (*.f64 y x))
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
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(+ 1 (* x (- (* (pow x 3) (- (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* -1 (pow y 4)))) y)))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(+ 1 (* x (- (* (pow x 3) (- (+ (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* x (+ (* -1 (pow y 5)) (* y (- (* -1 (pow y 4)) (* -2 (pow y 4))))))) (* -1 (pow y 4)))) y)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (-.f64 (pow.f64 y #s(literal 5 binary64)) (pow.f64 y #s(literal 5 binary64))) x #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y x)))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
-1
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(- (* x y) 1)
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(-.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y x #s(literal -1 binary64))) x y) x) #s(literal 1 binary64))
(* x (+ 1 (* x (+ (* -1 y) (* (pow x 3) (- (* -1 (- (* -1 (pow y 4)) (* -2 (pow y 4)))) (* -1 (pow y 4))))))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
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(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ 1 x)))
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(/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)
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(/ (- (/ 1 (* x (pow y 2))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) x)
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(/ (- (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4)))) (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3))))) x)
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(/ (- (+ (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) (+ (/ 1 (* x (pow y 2))) (/ 1 (* (pow x 3) (pow y 4))))) x)
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))) (*.f64 y y))
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (/ 1 (* x (pow y 3)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)
(/ (- (+ (/ 1 (* (pow x 3) (pow y 5))) (/ 1 (pow y 2))) (+ (/ 1 (* x (pow y 3))) (/ 1 (* (pow x 4) (pow y 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64))) (pow.f64 x #s(literal 3 binary64))))) x)
(* -1 (* x (- y (/ 1 x))))
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))) (neg.f64 y))
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(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
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(+ x (* -1 (* (pow x 2) y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 y)
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(-.f64 #s(literal 1 binary64) (*.f64 y x))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(+ x (* y (- (* y (- (* x (* y (+ (* -1 (pow x 3)) (pow x 3)))) (+ (* -1 (pow x 3)) (pow x 3)))) (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
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(* y (+ (* -1 (pow x 2)) (/ x y)))
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(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) y) (/.f64 #s(literal 1 binary64) x)) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) y)
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y) y)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))) y)
(/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 2) y))) (pow y 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))) (*.f64 y y))
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 5) (pow y 4))))) (pow y 2))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x))) (*.f64 y y))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) x)
(* -1 (* y (- x (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 y x))
(* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y))) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) y))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y))) y)
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 3)) (/ 1 (* (pow x 4) y))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y))) y)
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 4) y)) (/ 1 (pow x 3))) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y))
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) y)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))) (*.f64 y y))
(/ (+ (* -1 (/ (- (+ (/ 1 (* (pow x 5) (pow y 3))) (/ 1 (pow x 2))) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) y)) y)) y)) (*.f64 y y))

rewrite296.0ms (5.3%)

Memory
-17.4MiB live, 323.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042245
072234
1268216
21896210
08531210
Stop Event
iter limit
node limit
iter limit
Counts
16 → 511
Calls
Call 1
Inputs
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64))))
(neg.f64 y)
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x)))
(/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64)))
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))))
(*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)
(*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x))
#s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
(*.f64 (*.f64 x y) y)
Outputs
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (*.f64 (neg.f64 x) y) x))
(*.f64 (*.f64 (neg.f64 x) y) x)
(*.f64 (neg.f64 x) (*.f64 y x))
(*.f64 (*.f64 y x) (neg.f64 x))
(*.f64 (*.f64 x x) (neg.f64 y))
(*.f64 (neg.f64 y) (*.f64 x x))
(*.f64 y (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 x (*.f64 (neg.f64 x) y))
(neg.f64 (*.f64 (*.f64 y x) x))
(neg.f64 (*.f64 (*.f64 x x) y))
(neg.f64 y)
(*.f64 (sqrt.f64 (*.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))) (sinh.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 2 binary64))))
(+.f64 (cosh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64))) (sinh.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64))))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))) (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))) (fma.f64 (/.f64 (pow.f64 #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))) (/.f64 (pow.f64 #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))) (*.f64 (/.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) #s(literal 2 binary64))) (-.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))))) (/.f64 (pow.f64 #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64))))) #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64)))))))))
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) (-.f64 (*.f64 y x) #s(literal 1 binary64)))) #s(literal 2 binary64))) (*.f64 #s(approx (pow (+ (* y x) 1) -1) (pow.f64 (*.f64 y x) #s(literal -1 binary64))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)))) (pow.f64 (fma.f64 (neg.f64 x) y #s(literal -1 binary64)) #s(literal -1 binary64)))))))
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(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(neg.f64 (/.f64 x (neg.f64 (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y x) y)
(*.f64 y (*.f64 y x))
(*.f64 x (*.f64 y y))

eval128.0ms (2.3%)

Memory
-12.5MiB live, 222.4MiB allocated
Compiler

Compiled 28 571 to 2 229 computations (92.2% saved)

prune51.0ms (0.9%)

Memory
-4.5MiB live, 52.8MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New5701571
Fresh000
Picked123
Done077
Total57110581
Accuracy
100.0%
Counts
581 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
91.0%
(fma.f64 (*.f64 x (neg.f64 x)) y x)
78.6%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
66.5%
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
18.9%
(*.f64 x (fma.f64 #s(approx (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (*.f64 (*.f64 (*.f64 y y) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))))
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
23.8%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
46.6%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
55.6%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
42.1%
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
35.7%
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
Compiler

Compiled 481 to 206 computations (57.2% saved)

regimes15.0ms (0.3%)

Memory
33.0MiB live, 33.0MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(fma.f64 (*.f64 x (neg.f64 x)) y x)
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) y)) x)) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 x (fma.f64 #s(approx (/ (neg (pow (* y x) 2)) (/ (- 1 (pow (* y x) 2)) (+ -1 (pow (* y x) 2)))) (*.f64 (*.f64 (*.f64 y y) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))))
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (sqrt.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) #s(approx (pow (+ (* y x) 1) -1) (/.f64 (/.f64 #s(literal 1 binary64) y) x))))
(*.f64 x (fma.f64 (/.f64 (neg.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) y #s(literal -1 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Calls

3 calls:

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

Compiled 9 to 10 computations (-11.1% saved)

regimes25.0ms (0.4%)

Memory
-25.9MiB live, 15.3MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
Outputs
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
Calls

3 calls:

21.0ms
x
2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
2.0ms
y
Results
AccuracySegmentsBranch
78.8%3x
81.3%3y
86.6%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
Outputs
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))
Calls

1 calls:

1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
84.0%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes4.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
1.0ms
y
1.0ms
x
Results
AccuracySegmentsBranch
55.6%1x
55.6%1y
55.6%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.782658102676777e+158
4.557591896047093e+160
0.0ms
-2.119625884303785e+61
-1.3791571232358346e+51
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
2.782658102676777e+158
4.557591896047093e+160
0.0ms
-2.119625884303785e+61
-1.3791571232358346e+51
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify26.0ms (0.5%)

Memory
9.3MiB live, 54.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030103
158102
296102
3157102
4220102
5291102
6318102
7419102
8656102
9888102
10892102
11892102
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -19999999999999998987742705941480377339272900220268201461678080 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999964242346993584210386152866735029734534064965443963886203152447061808370140252373100286990835215709149761850866864844390324709531441418347741184 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999964242346993584210386152866735029734534064965443963886203152447061808370140252373100286990835215709149761850866864844390324709531441418347741184 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -19999999999999998987742705941480377339272900220268201461678080 binary64)) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999964242346993584210386152866735029734534064965443963886203152447061808370140252373100286990835215709149761850866864844390324709531441418347741184 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))))
(if (or (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -19999999999999998987742705941480377339272900220268201461678080 binary64)) (not (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999964242346993584210386152866735029734534064965443963886203152447061808370140252373100286990835215709149761850866864844390324709531441418347741184 binary64)))) (*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))))
(if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -19999999999999998987742705941480377339272900220268201461678080 binary64)) #s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x))) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999964242346993584210386152866735029734534064965443963886203152447061808370140252373100286990835215709149761850866864844390324709531441418347741184 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x)))))
(if (or (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -19999999999999998987742705941480377339272900220268201461678080 binary64)) (not (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 499999999999999964242346993584210386152866735029734534064965443963886203152447061808370140252373100286990835215709149761850866864844390324709531441418347741184 binary64)))) #s(approx (+ (* (* x (neg x)) y) x) (*.f64 (neg.f64 y) (*.f64 x x))) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))

soundness735.0ms (13.1%)

Memory
-33.6MiB live, 406.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03485
111275
225875
381075
4346075
0810675
0615
0915
13015
217615
3144915
0891213
082268
1261235
2752235
02925233
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 138 to 62 computations (55.1% saved)

preprocess43.0ms (0.8%)

Memory
33.3MiB live, 87.4MiB allocated
Compiler

Compiled 220 to 74 computations (66.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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