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

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB 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)

sample915.0ms (15.5%)

Memory
34.9MiB live, 1 098.7MiB allocated
Samples
509.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 212.0ms
ival-mult: 157.0ms (74.1% of total)
ival-sub: 42.0ms (19.8% of total)
ival-true: 6.0ms (2.8% of total)
exact: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain78.0ms (1.3%)

Memory
14.5MiB live, 115.3MiB 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
24.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (65.1% of total)
ival-sub: 3.0ms (27.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess54.0ms (0.9%)

Memory
-34.7MiB live, 59.7MiB 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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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
19.4MiB live, 19.4MiB 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

localize25.0ms (0.4%)

Memory
-12.5MiB live, 31.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) (*.f64 x y))
accuracy0.0
(*.f64 x y)
accuracy0.0703125
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Samples
20.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 12.0ms (84.9% of total)
ival-sub: 1.0ms (7.1% 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
8.7MiB live, 8.7MiB 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))

simplify165.0ms (2.8%)

Memory
30.3MiB live, 217.3MiB 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))

rewrite245.0ms (4.2%)

Memory
-24.9MiB live, 250.0MiB 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))))

eval124.0ms (2.1%)

Memory
12.0MiB live, 117.6MiB allocated
Compiler

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

prune13.0ms (0.2%)

Memory
-10.3MiB live, 35.8MiB allocated
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New3729381
Fresh000
Picked011
Done000
Total37210382
Accuracy
100.0%
Counts
382 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(/.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)))
92.6%
(-.f64 x (*.f64 (*.f64 x x) y))
58.8%
(*.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))))
58.8%
(*.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))))
75.9%
(*.f64 x (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
35.3%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64)))
53.4%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
57.6%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
45.1%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
Compiler

Compiled 297 to 184 computations (38% saved)

simplify143.0ms (2.4%)

Memory
-6.0MiB live, 141.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64)))
cost-diff0
(*.f64 x (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
cost-diff2
(/.f64 x #s(literal 1 binary64))
cost-diff7
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
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
(*.f64 (*.f64 x x) y)
cost-diff0
(sqrt.f64 (*.f64 (*.f64 x x) y))
cost-diff0
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64))
cost-diff0
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64)))
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
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) y)
cost-diff0
(-.f64 x (*.f64 (*.f64 x x) y))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030206
054193
1107186
2270186
3978186
42643186
54120186
64752186
75799186
85811186
95843186
106033186
116708186
126876186
08471186
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 x x) y))
x
(*.f64 (*.f64 x x) y)
(*.f64 x 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 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64)))
x
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
y
(sqrt.f64 y)
#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 #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))
(*.f64 x (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
x
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) y) y)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
y
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 x #s(literal 1 binary64))
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(-.f64 x (*.f64 (*.f64 x x) y))
(-.f64 x (*.f64 y (*.f64 x x)))
x
(*.f64 (*.f64 x x) y)
(*.f64 y (*.f64 x x))
(*.f64 x 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 (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64)))
(fma.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 (*.f64 y (*.f64 x x))) x)
x
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 (*.f64 y (*.f64 x x))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (*.f64 x x) y))
(sqrt.f64 (*.f64 y (*.f64 x x)))
(*.f64 (*.f64 x x) y)
(*.f64 y (*.f64 x x))
(*.f64 x x)
y
(sqrt.f64 y)
#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 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))
(*.f64 x (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #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))))
x
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (-.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 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(literal -1 binary64))) (*.f64 y x))
(*.f64 (*.f64 (neg.f64 x) y) y)
(*.f64 (neg.f64 x) y)
(neg.f64 x)
y
(fma.f64 y x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 x #s(literal 1 binary64))
x
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
#s(literal -1 binary64)

localize96.0ms (1.6%)

Memory
1.0MiB live, 187.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(*.f64 x (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
accuracy0.06640625
(*.f64 (*.f64 (neg.f64 x) y) y)
accuracy0.23657187866055968
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy9.539055876397018
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64)))
accuracy0.0
(*.f64 y x)
accuracy0.10546875
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy0.477843246470854
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) x)
accuracy8.252064721320576
(/.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)))
accuracy0.046875
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64)))
accuracy0.06640625
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64))
accuracy1.8528740472764063
(*.f64 (*.f64 x x) y)
accuracy14.36887849323923
(sqrt.f64 (*.f64 (*.f64 x x) y))
accuracy0.046875
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
accuracy16.54969985290784
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(-.f64 x (*.f64 (*.f64 x x) y))
accuracy1.8528740472764063
(*.f64 (*.f64 x x) y)
Samples
35.0ms126×0invalid
35.0ms130×0valid
Compiler

Compiled 217 to 33 computations (84.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 18.0ms (34.2% of total)
ival-pow: 10.0ms (19% of total)
ival-add: 9.0ms (17.1% of total)
ival-div: 4.0ms (7.6% of total)
ival-sub: 4.0ms (7.6% of total)
ival-sqrt: 3.0ms (5.7% of total)
ival-pow2: 2.0ms (3.8% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series90.0ms (1.5%)

Memory
21.9MiB live, 110.3MiB allocated
Counts
19 → 83
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64))
(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))
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 x #s(literal 1 binary64))
(*.f64 x (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 y x)
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 x) y) y)
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* (pow x 2) y)
(pow x 2)
1
(+ 1 (* -1 (* x y)))
(* x (+ 1 (* x y)))
(+ 1 (* 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))
(* -1 (* x (pow y 2)))
(* x (+ (* -1 (pow y 2)) (* x (pow y 3))))
(* x (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))
(* x (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))
(* x y)
(+ 1 (* x (- (* x (pow y 2)) y)))
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* (pow x 2) (+ y (/ 1 x)))
(* x (+ 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 y) (/ 1 x)))
(* -1 y)
(+ (* -1 y) (/ 1 x))
(- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y)))
(- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y)))
(/ 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 (- y (/ 1 x))))
(* -1 (* x (sqrt y)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ (* -1 y) (* -1 (/ (- (/ 1 (* x y)) 1) x)))
(+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)))
(* -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 (* (pow x 2) y))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* (pow y 2) (+ (* -1 x) (* (pow x 2) y)))
(* (pow y 2) (+ (* -1 x) (* y (+ (* -1 (* (pow x 3) y)) (pow x 2)))))
(* (pow y 2) (+ (* -1 x) (* y (+ (* y (+ (* -1 (pow x 3)) (* (pow x 4) y))) (pow x 2)))))
(+ 1 (* y (- (* (pow x 2) y) x)))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
(* y (- (/ x y) (pow x 2)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* y (+ (/ x y) (pow x 2)))
(* y (+ x (/ 1 y)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (- (/ 1 (* x y)) 1))
(* y (- (/ 1 (* x y)) (+ 1 (/ 1 (* (pow x 2) (pow y 2))))))
(* y (- (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3)))) (+ 1 (/ 1 (* (pow x 2) (pow y 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)) (* -1 (pow x 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow x 2) (pow (sqrt -1) 2)))))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* y (- (* x (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (- 1 (/ 1 (* x y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) y)))))
(* -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
x
@-inf
((- x (* (* x x) y)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1) (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) (+ (* (/ (* (* (neg x) y) y) (+ (* y x) 1)) (/ x 1)) (pow (+ (* y x) 1) -1)) (/ x 1) (* x (+ (* (/ (* (* (neg x) y) y) (+ (* y x) 1)) (/ x 1)) (pow (+ (* y x) 1) -1))) (/ (* (* (neg x) y) y) (+ (* y x) 1)) (* y x) (pow (+ (* y x) 1) -1) (* (* (neg x) y) y))
26.0ms
y
@inf
((- x (* (* x x) y)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1) (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) (+ (* (/ (* (* (neg x) y) y) (+ (* y x) 1)) (/ x 1)) (pow (+ (* y x) 1) -1)) (/ x 1) (* x (+ (* (/ (* (* (neg x) y) y) (+ (* y x) 1)) (/ x 1)) (pow (+ (* y x) 1) -1))) (/ (* (* (neg x) y) y) (+ (* y x) 1)) (* y x) (pow (+ (* y x) 1) -1) (* (* (neg x) y) y))
6.0ms
y
@0
((- x (* (* x x) y)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1) (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) (+ (* (/ (* (* (neg x) y) y) (+ (* y x) 1)) (/ x 1)) (pow (+ (* y x) 1) -1)) (/ x 1) (* x (+ (* (/ (* (* (neg x) y) y) (+ (* y x) 1)) (/ x 1)) (pow (+ (* y x) 1) -1))) (/ (* (* (neg x) y) y) (+ (* y x) 1)) (* y x) (pow (+ (* y x) 1) -1) (* (* (neg x) y) y))
6.0ms
y
@-inf
((- x (* (* x x) y)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1) (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) (+ (* (/ (* (* (neg x) y) y) (+ (* y x) 1)) (/ x 1)) (pow (+ (* y x) 1) -1)) (/ x 1) (* x (+ (* (/ (* (* (neg x) y) y) (+ (* y x) 1)) (/ x 1)) (pow (+ (* y x) 1) -1))) (/ (* (* (neg x) y) y) (+ (* y x) 1)) (* y x) (pow (+ (* y x) 1) -1) (* (* (neg x) y) y))
6.0ms
x
@0
((- x (* (* x x) y)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1) (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) (+ (* (/ (* (* (neg x) y) y) (+ (* y x) 1)) (/ x 1)) (pow (+ (* y x) 1) -1)) (/ x 1) (* x (+ (* (/ (* (* (neg x) y) y) (+ (* y x) 1)) (/ x 1)) (pow (+ (* y x) 1) -1))) (/ (* (* (neg x) y) y) (+ (* y x) 1)) (* y x) (pow (+ (* y x) 1) -1) (* (* (neg x) y) y))

simplify198.0ms (3.4%)

Memory
-18.5MiB live, 318.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0264974
1844904
22402878
37050865
08433843
Stop Event
iter limit
node limit
Counts
83 → 82
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* (pow x 2) y)
(pow x 2)
1
(+ 1 (* -1 (* x y)))
(* x (+ 1 (* x y)))
(+ 1 (* 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))
(* -1 (* x (pow y 2)))
(* x (+ (* -1 (pow y 2)) (* x (pow y 3))))
(* x (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))
(* x (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))
(* x y)
(+ 1 (* x (- (* x (pow y 2)) y)))
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))
(* -1 (* (pow x 2) y))
(* (pow x 2) (- (/ 1 x) y))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* -1 (* x y))
(* x (- (/ 1 x) y))
(* (pow x 2) (+ y (/ 1 x)))
(* x (+ 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 y) (/ 1 x)))
(* -1 y)
(+ (* -1 y) (/ 1 x))
(- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y)))
(- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y)))
(/ 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 (- y (/ 1 x))))
(* -1 (* x (sqrt y)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(+ (* -1 y) (* -1 (/ (- (/ 1 (* x y)) 1) x)))
(+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)))
(* -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 (* (pow x 2) y))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(* (pow y 2) (+ (* -1 x) (* (pow x 2) y)))
(* (pow y 2) (+ (* -1 x) (* y (+ (* -1 (* (pow x 3) y)) (pow x 2)))))
(* (pow y 2) (+ (* -1 x) (* y (+ (* y (+ (* -1 (pow x 3)) (* (pow x 4) y))) (pow x 2)))))
(+ 1 (* y (- (* (pow x 2) y) x)))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
(* y (- (/ x y) (pow x 2)))
(* y (+ (* -1 (pow x 2)) (/ x y)))
(* y (- (/ 1 y) x))
(* y (+ (/ x y) (pow x 2)))
(* y (+ x (/ 1 y)))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* y (+ (* -1 x) (/ 1 y)))
(* y (- (/ 1 (* x y)) 1))
(* y (- (/ 1 (* x y)) (+ 1 (/ 1 (* (pow x 2) (pow y 2))))))
(* y (- (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3)))) (+ 1 (/ 1 (* (pow x 2) (pow y 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)) (* -1 (pow x 2)))))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow x 2) (pow (sqrt -1) 2)))))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* y (- (* x (pow (sqrt -1) 2)) (/ 1 y))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* y (- x (/ 1 y))))
(* -1 (* y (- 1 (/ 1 (* x y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) y)))))
(* -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
x
(* x (+ 1 (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* x y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* x (+ 1 (* x y)))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(+ 1 (* x y))
(fma.f64 y x #s(literal 1 binary64))
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 y y) #s(literal 1 binary64))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 x x) y) y)
(* -1 (* x (pow y 2)))
(*.f64 (neg.f64 x) (*.f64 y y))
(* x (+ (* -1 (pow y 2)) (* x (pow y 3))))
(*.f64 (*.f64 (*.f64 x (fma.f64 y x #s(literal -1 binary64))) y) y)
(* x (+ (* -1 (pow y 2)) (* x (+ (* -1 (* x (pow y 4))) (pow y 3)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (neg.f64 x) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))) x)) x)
(* x (+ (* -1 (pow y 2)) (* x (+ (* x (+ (* -1 (pow y 4)) (* x (pow y 5)))) (pow y 3)))))
(*.f64 (fma.f64 (neg.f64 y) y (*.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 5 binary64)) x (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x (pow.f64 y #s(literal 3 binary64))) x)) x)
(* x y)
(*.f64 y x)
(+ 1 (* x (- (* x (pow y 2)) y)))
(fma.f64 (-.f64 (*.f64 (*.f64 y y) x) y) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (- (* -1 (* x (pow y 3))) (* -1 (pow y 2)))) y)))
(fma.f64 (fma.f64 (neg.f64 x) (*.f64 (*.f64 y y) (fma.f64 y x #s(literal -1 binary64))) (neg.f64 y)) x #s(literal 1 binary64))
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* (pow x 2) (- (/ 1 x) y))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (- (/ 1 x) y))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* (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 (* (pow x 3) (pow y 2)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y))
(* (pow x 3) (+ (* -1 (pow y 2)) (/ 1 (pow x 2))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x)
(* -1 (* (pow x 2) (pow y 2)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 y y))
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 y y) #s(literal 1 binary64))
(* x (+ (* -1 y) (/ 1 x)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (/ 1 x))
(-.f64 (/.f64 #s(literal 1 binary64) x) y)
(- (+ (* -1 y) (/ 1 x)) (/ 1 (* (pow x 2) y)))
(neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y))
(- (+ (* -1 y) (+ (/ 1 x) (/ 1 (* (pow x 3) (pow y 2))))) (/ 1 (* (pow x 2) y)))
(fma.f64 #s(literal -1 binary64) y (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y) #s(literal 1 binary64)) x))
(/ 1 (* x y))
(/.f64 (/.f64 #s(literal 1 binary64) x) y)
(/ (- (/ 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 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y) #s(literal 1 binary64)) x) y)
(/ (- (+ (/ 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 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y) #s(literal 1 binary64)) x) y) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(* -1 (* x (- y (/ 1 x))))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 (* x (sqrt y)))
(*.f64 (neg.f64 x) (sqrt.f64 y))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x)
(+ (* -1 y) (* -1 (/ (- (/ 1 (* x y)) 1) x)))
(neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y))
(+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x)) 1) x)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (neg.f64 x)) y) #s(literal 1 binary64)) (neg.f64 x)) y)
(* -1 (/ (- (/ 1 (* x (pow y 2))) (/ 1 y)) x))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (neg.f64 x)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* x (pow y 3))) (/ 1 (pow y 2))) x)) (/ 1 y)) x))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (neg.f64 x)) y) #s(literal 1 binary64)) (neg.f64 x)) y)
(* -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 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(+ x (* (pow x 2) y))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(+ x (* -1 (* (pow x 3) (pow y 2))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) x)
(* (pow y 2) (+ (* -1 x) (* (pow x 2) y)))
(*.f64 (*.f64 (*.f64 x (fma.f64 y x #s(literal -1 binary64))) y) y)
(* (pow y 2) (+ (* -1 x) (* y (+ (* -1 (* (pow x 3) y)) (pow x 2)))))
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 y x #s(literal -1 binary64))) y x) y)) y)
(* (pow y 2) (+ (* -1 x) (* y (+ (* y (+ (* -1 (pow x 3)) (* (pow x 4) y))) (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) y (pow.f64 (neg.f64 x) #s(literal 3 binary64))) y (*.f64 x x)) y (neg.f64 x)) y) y)
(+ 1 (* y (- (* (pow x 2) y) x)))
(fma.f64 (*.f64 x (fma.f64 y x #s(literal -1 binary64))) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* -1 (* (pow x 3) y)) (* -1 (pow x 2)))) x)))
(-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 x x) (fma.f64 y x #s(literal -1 binary64))) y x) y))
(* y (- (/ x y) (pow x 2)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* y (- (/ 1 y) x))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (+ (/ x y) (pow x 2)))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(* y (+ x (/ 1 y)))
(fma.f64 y x #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (pow x 3)) (/ x (pow y 2))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 y y) 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)
(* y (+ (* -1 x) (/ 1 y)))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* y (- (/ 1 (* x y)) 1))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) y)
(* y (- (/ 1 (* x y)) (+ 1 (/ 1 (* (pow x 2) (pow y 2))))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y)) y) #s(literal 1 binary64)) y)
(* y (- (+ (/ 1 (* x y)) (/ 1 (* (pow x 3) (pow y 3)))) (+ 1 (/ 1 (* (pow x 2) (pow y 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y) #s(literal 1 binary64)) x) y) #s(literal 1 binary64)) y)
(/ (- (/ 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 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y) #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 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) x) y) #s(literal 1 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) y)
(* -1 (* y (- (* -1 (/ x y)) (* -1 (pow x 2)))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (fma.f64 (neg.f64 y) x #s(literal 1 binary64)) x)
(* -1 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 x x) y)
(* -1 (* y (+ (* -1 (/ x y)) (* (pow x 2) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 y x #s(literal 1 binary64)) x)
(* -1 (* x (* y (pow (sqrt -1) 2))))
(*.f64 y x)
(* -1 (* y (- (* x (pow (sqrt -1) 2)) (/ 1 y))))
(fma.f64 y x #s(literal 1 binary64))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(*.f64 (sqrt.f64 y) x)
(* -1 (* y (- x (/ 1 y))))
(fma.f64 (neg.f64 y) x #s(literal 1 binary64))
(* -1 (* y (- 1 (/ 1 (* x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (- (/ 1 x) (/ 1 (* (pow x 2) y))) y)))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) y))) #s(literal 1 binary64) y))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 3) y))) y)) (/ 1 x)) y)))))
(neg.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (neg.f64 y))) #s(literal 1 binary64) y))
(* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) y))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (neg.f64 x)) y)
(* -1 (/ (- (* -1 (/ (- (/ 1 (* (pow x 3) y)) (/ 1 (pow x 2))) y)) (/ 1 x)) y))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) (neg.f64 x)) y) #s(literal 1 binary64)) (neg.f64 x)) 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)) (pow.f64 (/.f64 #s(literal 1 binary64) 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))

rewrite285.0ms (4.8%)

Memory
29.9MiB live, 403.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
030167
054126
1211121
21544104
09143104
Stop Event
iter limit
node limit
iter limit
Counts
19 → 2 046
Calls
Call 1
Inputs
(-.f64 x (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- 1 (* x y)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64))
(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))
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 x #s(literal 1 binary64))
(*.f64 x (fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 y x)
(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 x) y) y)
Outputs
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64))) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 x (fma.f64 y x #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) (/.f64 x (-.f64 (*.f64 y x) #s(literal 1 binary64)))) (-.f64 (*.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 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (fma.f64 y x #s(literal 1 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) #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 x (fma.f64 y x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64))))
(*.f64 x (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) x) (*.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) x))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x #s(literal -1 binary64))) x (*.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) x)))
(/.f64 (-.f64 (*.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 y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 2 binary64)) (*.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 x #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))) (*.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x))) (fma.f64 (*.f64 y x) x (*.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (*.f64 (neg.f64 y) (*.f64 x x)) (*.f64 (neg.f64 y) (*.f64 x x)))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) x) (*.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) x) (*.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (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)) (fma.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (*.f64 y (*.f64 x x)) #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 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (fma.f64 (/.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))) (/.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (fma.f64 x x (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (*.f64 (neg.f64 y) (*.f64 x x)) (*.f64 (neg.f64 y) (*.f64 x x)) (*.f64 x (*.f64 (neg.f64 y) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 y x #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 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (fma.f64 (*.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) x) (*.f64 (*.f64 y (*.f64 x x)) (*.f64 #s(literal -1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 y) (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (*.f64 (neg.f64 y) (*.f64 x x)) (*.f64 (neg.f64 y) (*.f64 x x))) (*.f64 x (*.f64 (neg.f64 y) (*.f64 x x))))))
(/.f64 (+.f64 x (*.f64 x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (*.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (+.f64 x (*.f64 x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (+.f64 x (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (+.f64 x (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x)) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (fma.f64 x (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (*.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x) (fma.f64 y x #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x x) (*.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) x x) (fma.f64 y x #s(literal 1 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))))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 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 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 x (fma.f64 y x #s(literal -1 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (/.f64 x (fma.f64 y x #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) x)) (neg.f64 (*.f64 (-.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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) x)) (neg.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64))) x)) (neg.f64 (*.f64 (+.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 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)))) #s(literal -1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64))) x)) (neg.f64 (*.f64 (+.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 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)))) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64))) x)) (neg.f64 (+.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 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 (neg.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 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 (neg.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 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 (neg.f64 (*.f64 x (/.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (/.f64 (fma.f64 y x #s(literal 1 binary64)) (fma.f64 y x #s(literal 1 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 (neg.f64 (neg.f64 (fma.f64 x x (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 2 binary64))))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 y (*.f64 x x)) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))) (*.f64 (fma.f64 y x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 y y) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (*.f64 (-.f64 (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))))
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(pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 y x)))) (cosh.f64 (neg.f64 (log1p.f64 (*.f64 y x))))) (*.f64 (sinh.f64 (neg.f64 (log1p.f64 (*.f64 y x)))) (sinh.f64 (neg.f64 (log1p.f64 (*.f64 y x)))))) (-.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 y x)))) (sinh.f64 (neg.f64 (log1p.f64 (*.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log1p.f64 (*.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 y x)))) (cosh.f64 (neg.f64 (log1p.f64 (*.f64 y x)))) (-.f64 (*.f64 (sinh.f64 (neg.f64 (log1p.f64 (*.f64 y x)))) (sinh.f64 (neg.f64 (log1p.f64 (*.f64 y x))))) (*.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 y x)))) (sinh.f64 (neg.f64 (log1p.f64 (*.f64 y x))))))))
(/.f64 #s(literal -1 binary64) (fma.f64 y x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 y x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 y x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 y x #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fabs.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 y x)) #s(literal -1/2 binary64) (*.f64 (log1p.f64 (*.f64 y x)) #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 y x))))
(+.f64 (cosh.f64 (neg.f64 (log1p.f64 (*.f64 y x)))) (sinh.f64 (neg.f64 (log1p.f64 (*.f64 y x)))))
(*.f64 (neg.f64 y) (*.f64 y x))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 y x) (neg.f64 y))
(*.f64 (*.f64 y x) y)
(*.f64 y (*.f64 y x))
(*.f64 x (neg.f64 (*.f64 y y)))
(*.f64 x (*.f64 y y))
(neg.f64 (*.f64 (*.f64 y x) y))

eval205.0ms (3.5%)

Memory
10.6MiB live, 344.6MiB allocated
Compiler

Compiled 25 643 to 3 370 computations (86.9% saved)

prune26.0ms (0.4%)

Memory
0.5MiB live, 90.7MiB allocated
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New99761 003
Fresh044
Picked325
Done011
Total1 000131 013
Accuracy
100.0%
Counts
1 013 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
73.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
50.6%
(-.f64 x (*.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) x)))
92.6%
(-.f64 x (*.f64 (*.f64 x x) y))
58.8%
(*.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))))
58.8%
(*.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))))
30.6%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 y x) y)) (sqrt.f64 x) #s(literal 1 binary64)))
53.4%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
57.6%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
45.1%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
54.0%
#s(approx (- x (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) x) y))
2.6%
#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
Compiler

Compiled 359 to 219 computations (39% saved)

simplify232.0ms (3.9%)

Memory
16.2MiB live, 207.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (neg.f64 x) y)
cost-diff0
(sqrt.f64 (*.f64 (neg.f64 x) y))
cost-diff0
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
cost-diff7
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64))
cost-diff0
(*.f64 (*.f64 (*.f64 y x) y) x)
cost-diff0
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x))
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x)
cost-diff0
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
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
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) y)
cost-diff0
#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
cost-diff0
(*.f64 (*.f64 y x) (*.f64 y 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)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033210
053196
1112196
2286196
3978196
42016196
53646196
65201196
75705196
86346196
08116195
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 (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
(*.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 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 y x) y) x)
(*.f64 (*.f64 y x) y)
(*.f64 y x)
y
x
(fma.f64 y x #s(literal 1 binary64))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
x
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
y
#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))) (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
(*.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x)))
(neg.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 y x) (*.f64 y x))
(*.f64 (*.f64 x y) (*.f64 x y))
(*.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 (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
x
y
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x)
x
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
y
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 x y #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x)
(*.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)) (neg.f64 x))
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x))
(neg.f64 (fma.f64 (*.f64 x y) (*.f64 x y) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (*.f64 (*.f64 y x) y) x)
(*.f64 (*.f64 x y) (*.f64 x y))
(*.f64 (*.f64 y x) y)
(*.f64 (*.f64 x y) y)
(*.f64 y x)
(*.f64 x y)
y
x
(fma.f64 y x #s(literal 1 binary64))
(fma.f64 x y #s(literal 1 binary64))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) y #s(literal 1 binary64)) x)
x
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) y #s(literal 1 binary64))
(sqrt.f64 (*.f64 (neg.f64 x) y))
(*.f64 (neg.f64 x) y)
(neg.f64 x)
y
#s(literal 1 binary64)

localize124.0ms (2.1%)

Memory
-2.1MiB live, 184.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.02734375
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
accuracy0.05078125
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64))
accuracy4.997635883741488
(sqrt.f64 (*.f64 (neg.f64 x) y))
accuracy0.03515625
(*.f64 (*.f64 y x) y)
accuracy0.23248260563335205
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x)
accuracy0.9377518797908571
(*.f64 (*.f64 (*.f64 y x) y) x)
accuracy4.157986764245599
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
accuracy0.0
(*.f64 (neg.f64 x) y)
accuracy0.0
(neg.f64 x)
accuracy0.02734375
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
accuracy9.302021455363699
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
accuracy0.0
(*.f64 x x)
accuracy1.6377827108456624
(*.f64 (*.f64 x x) y)
accuracy16.958490905759948
#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
accuracy0.0
(*.f64 y x)
accuracy0.05078125
(*.f64 (*.f64 y x) (*.f64 y x))
accuracy0.23248260563335205
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x)
accuracy4.157986764245599
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
Samples
66.0ms186×0invalid
40.0ms70×0valid
Compiler

Compiled 202 to 32 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 47.0ms (70.1% of total)
ival-sub: 7.0ms (10.4% of total)
ival-sqrt: 5.0ms (7.5% of total)
ival-add: 4.0ms (6% of total)
ival-div: 3.0ms (4.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series46.0ms (0.8%)

Memory
-29.1MiB live, 29.9MiB allocated
Counts
20 → 49
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)))
(*.f64 (*.f64 y x) (*.f64 y x))
#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
(*.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)
(neg.f64 x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x))
(*.f64 (*.f64 (*.f64 y x) y) x)
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (neg.f64 x) y))
(*.f64 y x)
(*.f64 (*.f64 y x) y)
Outputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* x (+ 1 (* x y)))
(* (pow x 2) y)
(pow x 2)
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* -1 x)
(+ 1 (* x (* y (pow (sqrt -1) 2))))
(* x (+ 1 (* x (* y (pow (sqrt -1) 2)))))
(* (sqrt (* x y)) (sqrt -1))
(* x y)
(* x (pow y 2))
(* -1 (* (pow x 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)))
(* (pow x 2) (+ y (/ 1 x)))
(* x (- (/ 1 x) y))
(* x (* y (pow (sqrt -1) 2)))
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (sqrt (* x y)) (sqrt -1)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* (pow x 2) y))
(+ x (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* 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 (+ (/ x y) (pow x 2)))
(* y (- (/ 1 y) x))
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))
(* y (+ (* (pow x 2) (pow (sqrt -1) 2)) (/ x y)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow x 2) (pow (sqrt -1) 2)))))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* y (- x (/ 1 y))))
Calls

6 calls:

TimeVariablePointExpression
31.0ms
x
@inf
((/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (* (* (* y x) y) x)) x) (+ (* y x) 1)) (* (- 1 (* (* (* y x) y) x)) x) (- 1 (* (* (* y x) y) x)) (* (* (* y x) y) x) (+ (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) 1) (* x (+ (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) 1)) (sqrt (* (neg x) y)) (* y x) (* (* y x) y))
3.0ms
x
@0
((/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (* (* (* y x) y) x)) x) (+ (* y x) 1)) (* (- 1 (* (* (* y x) y) x)) x) (- 1 (* (* (* y x) y) x)) (* (* (* y x) y) x) (+ (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) 1) (* x (+ (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) 1)) (sqrt (* (neg x) y)) (* y x) (* (* y x) y))
3.0ms
x
@-inf
((/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (* (* (* y x) y) x)) x) (+ (* y x) 1)) (* (- 1 (* (* (* y x) y) x)) x) (- 1 (* (* (* y x) y) x)) (* (* (* y x) y) x) (+ (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) 1) (* x (+ (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) 1)) (sqrt (* (neg x) y)) (* y x) (* (* y x) y))
3.0ms
y
@0
((/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (* (* (* y x) y) x)) x) (+ (* y x) 1)) (* (- 1 (* (* (* y x) y) x)) x) (- 1 (* (* (* y x) y) x)) (* (* (* y x) y) x) (+ (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) 1) (* x (+ (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) 1)) (sqrt (* (neg x) y)) (* y x) (* (* y x) y))
2.0ms
y
@inf
((/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (- 1 (* (* y x) (* y x))) x) (- 1 (* (* y x) (* y x))) (* (* y x) (* y x)) (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (* (* x x) y) (* x x) (* x (- 1 (* x y))) (- 1 (* x y)) (* (neg x) y) (neg x) (/ (* (- 1 (* (* (* y x) y) x)) x) (+ (* y x) 1)) (* (- 1 (* (* (* y x) y) x)) x) (- 1 (* (* (* y x) y) x)) (* (* (* y x) y) x) (+ (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) 1) (* x (+ (* (sqrt (* (neg x) y)) (sqrt (* (neg x) y))) 1)) (sqrt (* (neg x) y)) (* y x) (* (* y x) y))

simplify176.0ms (3%)

Memory
-39.1MiB live, 289.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098340
1315303
2840303
32888303
08977298
Stop Event
iter limit
node limit
Counts
49 → 48
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x y))))
(* x (+ 1 (* -1 (* (pow x 2) (pow y 2)))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(* (pow x 2) (pow y 2))
(* x (+ 1 (* x y)))
(* (pow x 2) y)
(pow x 2)
(+ 1 (* -1 (* x y)))
(* -1 (* x y))
(* -1 x)
(+ 1 (* x (* y (pow (sqrt -1) 2))))
(* x (+ 1 (* x (* y (pow (sqrt -1) 2)))))
(* (sqrt (* x y)) (sqrt -1))
(* x y)
(* x (pow y 2))
(* -1 (* (pow x 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)))
(* (pow x 2) (+ y (/ 1 x)))
(* x (- (/ 1 x) y))
(* x (* y (pow (sqrt -1) 2)))
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(* -1 (* (pow x 3) (- (pow y 2) (/ 1 (pow x 2)))))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* x (- y (/ 1 x))))
(* -1 (* (sqrt (* x y)) (sqrt -1)))
(+ x (* -1 (* (pow x 2) y)))
(+ x (* -1 (* (pow x 3) (pow y 2))))
(+ x (* (pow x 2) y))
(+ x (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* 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 (+ (/ x y) (pow x 2)))
(* y (- (/ 1 y) x))
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))
(* y (+ (* (pow x 2) (pow (sqrt -1) 2)) (/ x y)))
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(* -1 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(* -1 (* y (+ (* -1 (/ x y)) (* (pow x 2) (pow (sqrt -1) 2)))))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* y (- x (/ 1 y))))
Outputs
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 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 y y) #s(literal 1 binary64))
(* (pow x 2) (pow y 2))
(*.f64 (*.f64 (*.f64 y y) x) x)
(* x (+ 1 (* x y)))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(* (pow x 2) y)
(*.f64 (*.f64 x x) y)
(pow x 2)
(*.f64 x x)
(+ 1 (* -1 (* x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* -1 x)
(neg.f64 x)
(+ 1 (* x (* y (pow (sqrt -1) 2))))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* x (+ 1 (* x (* y (pow (sqrt -1) 2)))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* (sqrt (* x y)) (sqrt -1))
(*.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 #s(literal -1 binary64)))
(* x y)
(*.f64 x y)
(* x (pow y 2))
(*.f64 (*.f64 y y) x)
(* -1 (* (pow x 2) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* (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 (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 (neg.f64 y) y) x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (pow y 2)))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 y y) #s(literal 1 binary64))
(* (pow x 2) (+ y (/ 1 x)))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(* x (- (/ 1 x) y))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* x (* y (pow (sqrt -1) 2)))
(*.f64 (neg.f64 y) x)
(* x (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* (pow x 2) (* y (pow (sqrt -1) 2)))
(*.f64 (*.f64 (neg.f64 x) x) y)
(* (pow x 2) (+ (* y (pow (sqrt -1) 2)) (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) 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 y) (/ 1 x)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* x (- y (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* (sqrt (* x y)) (sqrt -1)))
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 x y)))
(+ 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 (neg.f64 y) y) (pow.f64 x #s(literal 3 binary64)) x)
(+ x (* (pow x 2) y))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(+ x (* (pow x 2) (* y (pow (sqrt -1) 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* y (+ (* -1 (pow x 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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)))
(fma.f64 (*.f64 (neg.f64 x) x) (*.f64 y y) #s(literal 1 binary64))
(* y (+ (/ x y) (pow x 2)))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(* y (- (/ 1 y) x))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* y (+ (* x (pow (sqrt -1) 2)) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* y (+ (* (pow x 2) (pow (sqrt -1) 2)) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* -1 (* y (+ (* -1 (/ x y)) (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x y)) x)
(* -1 (* (pow x 2) (* y (pow (sqrt -1) 2))))
(*.f64 (*.f64 x x) y)
(* -1 (* y (+ (* -1 (/ x y)) (* (pow x 2) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(* y (+ (* -1 x) (/ 1 y)))
(-.f64 #s(literal 1 binary64) (*.f64 x y))
(* -1 (* y (- x (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 x y))

rewrite196.0ms (3.3%)

Memory
-4.4MiB live, 380.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033180
053155
1205129
21129114
09362114
Stop Event
iter limit
node limit
iter limit
Counts
20 → 1 558
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)))
(*.f64 (*.f64 y x) (*.f64 y x))
#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
(*.f64 (*.f64 x x) y)
(*.f64 x x)
(*.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)
(neg.f64 x)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x)
(-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x))
(*.f64 (*.f64 (*.f64 y x) y) x)
(fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (neg.f64 x) y))
(*.f64 y x)
(*.f64 (*.f64 y x) y)
Outputs
(*.f64 (/.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 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(*.f64 (/.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 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x y) #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))) (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (+.f64 (pow.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (*.f64 y (*.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 y (*.f64 (fma.f64 x y #s(literal 1 binary64)) x)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) x x) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) x x) (+.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (fma.f64 (fma.f64 x y #s(literal 1 binary64)) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) #s(literal 1 binary64))) (/.f64 x (-.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 y) #s(literal 1 binary64))) (/.f64 (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64))))
(*.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64))) (fma.f64 x y #s(literal 1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (/.f64 (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (/.f64 x (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 3 binary64))))
(*.f64 (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)))
(*.f64 (fma.f64 x y #s(literal -1 binary64)) (*.f64 (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (/.f64 (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 6 binary64))) (/.f64 x (*.f64 (-.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))) (fma.f64 x y #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (/.f64 x (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x y #s(literal 1 binary64)) x)
(*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (fma.f64 x y #s(literal -1 binary64))))
(*.f64 x (-.f64 (*.f64 x y) #s(literal -1 binary64)))
(*.f64 x (fma.f64 x y #s(literal -1 binary64)))
(*.f64 x (fma.f64 x y #s(literal 1 binary64)))
(/.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) #s(literal 1 binary64))) (-.f64 (sqrt.f64 (*.f64 x y)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 x y #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64)) x) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) x) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal -1 binary64)) #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)))) (neg.f64 (pow.f64 (fma.f64 x y #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.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 #s(literal -1 binary64) (pow.f64 (*.f64 y (*.f64 (fma.f64 x y #s(literal 1 binary64)) x)) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 x y #s(literal -1 binary64))) (fma.f64 x y #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) (fma.f64 x y #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (*.f64 (/.f64 x (fma.f64 x y #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 2 binary64)))) (fma.f64 x y #s(literal 1 binary64)))
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(*.f64 x (pow.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 x (neg.f64 y))
(*.f64 x y)
(*.f64 y x)
(*.f64 #s(literal 1 binary64) (*.f64 x y))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 x y)) #s(literal 2 binary64))
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(neg.f64 (*.f64 x y))
(sqrt.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x y))
(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 (*.f64 (log.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x y)))
(+.f64 (cosh.f64 (log.f64 (*.f64 x y))) (sinh.f64 (log.f64 (*.f64 x y))))
(*.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(*.f64 (neg.f64 (neg.f64 y)) (*.f64 x y))
(*.f64 (*.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) (*.f64 x y))
(*.f64 (*.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))
(*.f64 (*.f64 y y) x)
(*.f64 (*.f64 (*.f64 x y) y) #s(literal 1 binary64))
(*.f64 (*.f64 x y) (neg.f64 (neg.f64 y)))
(*.f64 (*.f64 x y) (neg.f64 y))
(*.f64 (*.f64 x y) y)
(*.f64 x (*.f64 (neg.f64 y) y))
(*.f64 x (*.f64 y y))
(*.f64 y (*.f64 x y))
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x y) y))
(neg.f64 (*.f64 (*.f64 x y) y))

eval219.0ms (3.7%)

Memory
10.5MiB live, 300.7MiB allocated
Compiler

Compiled 25 341 to 3 336 computations (86.8% saved)

prune58.0ms (1%)

Memory
-10.5MiB live, 80.9MiB allocated
Pruning

13 alts after pruning (5 fresh and 8 done)

PrunedKeptTotal
New1 11631 119
Fresh325
Picked055
Done033
Total1 119131 132
Accuracy
100.0%
Counts
1 132 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
73.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
92.6%
(-.f64 x (*.f64 (*.f64 x x) y))
58.8%
(*.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))))
58.8%
(*.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))))
53.4%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
27.3%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
29.5%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
57.6%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
45.1%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
54.0%
#s(approx (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
2.6%
#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
Compiler

Compiled 320 to 192 computations (40% saved)

simplify132.0ms (2.2%)

Memory
13.6MiB live, 152.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
042326
070324
1140324
2359300
31288300
45036300
08143300
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.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 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)))))
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 #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
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
#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)))
(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))
#s(approx (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
x
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))))
(*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
(neg.f64 (sqrt.f64 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))
Outputs
(*.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 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 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)))) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
(/.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 x (-.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))))
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 #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
#s(literal 2 binary64)
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
#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)))
(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))
#s(approx (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
x
y
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
(*.f64 #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)) x)
x
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))))
#s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y))
(*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 x) y)
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
y
(neg.f64 (sqrt.f64 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 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) (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))

localize147.0ms (2.5%)

Memory
13.0MiB live, 247.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.029628759768442016
(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy0.03125
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
accuracy1.6447381191459427
(/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
accuracy5.643113195661679
(*.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))))
accuracy0.01953125
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
accuracy0.05078125
(*.f64 (sqrt.f64 y) x)
accuracy0.0546875
(*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))
accuracy5.949203837616848
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y))))
accuracy0.01953125
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
accuracy0.05078125
(*.f64 (sqrt.f64 x) y)
accuracy0.07421875
(*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))
accuracy5.949203837616848
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))))
accuracy0.0
(*.f64 (neg.f64 x) x)
accuracy0.0
(neg.f64 x)
accuracy0.21509133643074363
(*.f64 (*.f64 (neg.f64 x) x) y)
accuracy5.837895951255402
#s(approx (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
accuracy0.03125
(fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))
accuracy0.0546875
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy5.712648169602051
(/.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)))
accuracy7.3279545601823965
(/.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))))
Samples
71.0ms196×0invalid
39.0ms60×0valid
Compiler

Compiled 300 to 39 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 76.0ms
ival-sqrt: 26.0ms (34.3% of total)
ival-mult: 21.0ms (27.7% of total)
ival-div: 8.0ms (10.6% of total)
ival-pow: 8.0ms (10.6% of total)
ival-sub: 5.0ms (6.6% of total)
ival-neg: 3.0ms (4% of total)
ival-pow2: 3.0ms (4% of total)
ival-add: 2.0ms (2.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series90.0ms (1.5%)

Memory
-17.2MiB live, 83.3MiB allocated
Counts
24 → 105
Calls
Call 1
Inputs
(*.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 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))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(approx (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) y)
(*.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 (-.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)))
(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 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
Outputs
x
(* x (+ 1 (* -1 (* x 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))))
(* x (+ 1 (* (pow x 2) (pow y 2))))
(* x (+ 1 (* (pow x 2) (- (* -1 (* x (pow y 3))) (* -1 (pow y 2))))))
(* x (+ 1 (* (pow x 2) (- (* x (+ (* -1 (pow y 3)) (* x (pow y 4)))) (* -1 (pow y 2))))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3)))))
(+ 1 (* (pow x 2) (+ (* -1 (pow y 2)) (* x (- (* -1 (* (pow x 2) (pow y 5))) (* -1 (pow y 3)))))))
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(* -1 x)
(* -1 (* x y))
(+ 1 (* -1 (* x y)))
(* (sqrt x) y)
(* x (sqrt y))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* x y)
(+ 1 (* x (- (* -1 (* x (pow y 2))) y)))
(+ 1 (* x (- (* x (- (* 2 (* x (pow y 3))) (pow y 2))) y)))
(* (pow x 2) (pow y 2))
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(* 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))))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) y)
(* (pow x 2) (+ y (/ 1 (* (pow x 2) y))))
(* (pow x 2) (- (+ y (/ 1 (* (pow x 2) y))) (/ 1 (* (pow x 3) (pow y 2)))))
(* (pow x 2) (- (+ y (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) (/ 1 (* (pow x 3) (pow y 2)))))
(/ 1 (* x y))
(/ (- (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 3) (pow y 4)))) (/ 1 (* (pow x 2) (pow y 3)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 3) (pow y 4)))) (+ (/ 1 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 5) (pow y 6))))) x)
(* -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)))
-1
(- (/ 1 (* x y)) 1)
(- (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 2)))) 1)
(- (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 2)))) (+ 1 (* 2 (/ 1 (* (pow x 3) (pow y 3))))))
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(/ 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 (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) (pow x 3))) (/ 1 (* (pow x 2) y)))))
(* -1 (/ (- (/ 1 (* (pow x 2) (pow y 3))) (/ 1 y)) x))
(* -1 (/ (- (/ 1 (* (pow x 2) (pow y 3))) (+ (/ 1 y) (/ 1 (* (pow x 3) (pow y 4))))) x))
(* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 6)))) (pow x 3))) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 y)) x))
(* x (* y (pow (sqrt -1) 2)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow y 2)) (* 2 (/ 1 (* x (pow y 3))))) x)) (/ 1 y)) x)) 1)
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(* -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)))
(+ 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 (* (pow x 3) (pow y 2)))
(+ x (* (pow y 2) (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))))
(+ x (* (pow y 2) (- (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (* -1 (pow x 3)))))
(+ 1 (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y))))
(+ 1 (* (pow y 2) (+ (* -1 (pow x 2)) (* y (- (* -1 (* (pow x 5) (pow y 2))) (* -1 (pow x 3)))))))
(+ 1 (* y (- (* -1 (* (pow x 2) y)) x)))
(+ 1 (* y (- (* y (- (* 2 (* (pow x 3) y)) (pow x 2))) x)))
(+ 1 (* y (+ x (* (pow x 2) y))))
(+ 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 (pow y 2)) (pow x 2)))
(* y (- (+ (/ 1 (pow y 2)) (pow x 2)) (/ 1 (* x (pow y 3)))))
(* y (- (+ (/ 1 (* (pow x 2) (pow y 4))) (+ (/ 1 (pow y 2)) (pow x 2))) (/ 1 (* x (pow y 3)))))
(/ (- (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 3) (pow y 2)))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 3) (pow y 2))) (/ 1 (* (pow x 6) (pow y 5))))) y)
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* y (- (/ 1 y) x))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (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))) (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 (- (* -1 (pow x 2)) (/ 1 (pow y 2)))))
(* -1 (* y (- (+ (* -1 (pow x 2)) (/ 1 (* x (pow y 3)))) (/ 1 (pow y 2)))))
(* -1 (* y (- (+ (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) (pow y 3))) (* -1 (pow x 2))) (/ 1 (pow y 2)))))
(* -1 (/ (- (/ 1 (* (pow x 3) (pow y 2))) (/ 1 x)) y))
(* -1 (/ (- (/ 1 (* (pow x 3) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3))))) y))
(* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow x 4)) (/ 1 (* (pow x 6) (pow y 2)))) (pow y 3))) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 x)) y))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) (* 2 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x)) y)) 1)
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(/ (+ (* -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
37.0ms
x
@inf
((* (/ x (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ (- 1 (pow (* y x) 2)) (+ (* (+ (* y x) 1) (* y x)) 1))) (/ x (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3))) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (* (sqrt x) y) (neg (sqrt x))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt x) y) (* (* (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) (/ (- 1 (pow (* y x) 2)) (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 2) (+ (* (+ (* y x) 1) (* y x)) 1) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)))
30.0ms
y
@-inf
((* (/ x (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ (- 1 (pow (* y x) 2)) (+ (* (+ (* y x) 1) (* y x)) 1))) (/ x (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3))) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (* (sqrt x) y) (neg (sqrt x))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt x) y) (* (* (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) (/ (- 1 (pow (* y x) 2)) (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 2) (+ (* (+ (* y x) 1) (* y x)) 1) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)))
7.0ms
x
@-inf
((* (/ x (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ (- 1 (pow (* y x) 2)) (+ (* (+ (* y x) 1) (* y x)) 1))) (/ x (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3))) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (* (sqrt x) y) (neg (sqrt x))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt x) y) (* (* (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) (/ (- 1 (pow (* y x) 2)) (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 2) (+ (* (+ (* y x) 1) (* y x)) 1) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)))
5.0ms
y
@inf
((* (/ x (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ (- 1 (pow (* y x) 2)) (+ (* (+ (* y x) 1) (* y x)) 1))) (/ x (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3))) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (* (sqrt x) y) (neg (sqrt x))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt x) y) (* (* (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) (/ (- 1 (pow (* y x) 2)) (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 2) (+ (* (+ (* y x) 1) (* y x)) 1) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)))
5.0ms
x
@0
((* (/ x (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ (- 1 (pow (* y x) 2)) (+ (* (+ (* y x) 1) (* y x)) 1))) (/ x (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3)))) (/ (- 1 (pow (* y x) 2)) (- 1 (pow (* y x) 3))) (- 1 (pow (* y x) 2)) (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (* (* (neg x) x) y) (* (neg x) x) (neg x) (* (* (sqrt x) y) (neg (sqrt x))) (* x (- 1 (* x y))) (- 1 (* x y)) (* (sqrt x) y) (* (* (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) (/ (- 1 (pow (* y x) 2)) (+ (* (+ (* y x) 1) (* y x)) 1)) (pow (* y x) 2) (+ (* (+ (* y x) 1) (* y x)) 1) (/ x (+ (* (+ (* y x) 1) (* y x)) 1)))

simplify234.0ms (4%)

Memory
-4.3MiB live, 282.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04071674
112881552
239311528
081921480
Stop Event
iter limit
node limit
Counts
105 → 104
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (* x 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))))
(* x (+ 1 (* (pow x 2) (pow y 2))))
(* x (+ 1 (* (pow x 2) (- (* -1 (* x (pow y 3))) (* -1 (pow y 2))))))
(* x (+ 1 (* (pow x 2) (- (* x (+ (* -1 (pow y 3)) (* x (pow y 4)))) (* -1 (pow y 2))))))
1
(+ 1 (* -1 (* (pow x 2) (pow y 2))))
(+ 1 (* (pow x 2) (+ (* -1 (pow y 2)) (* x (pow y 3)))))
(+ 1 (* (pow x 2) (+ (* -1 (pow y 2)) (* x (- (* -1 (* (pow x 2) (pow y 5))) (* -1 (pow y 3)))))))
(* -1 (* (pow x 2) y))
(* -1 (pow x 2))
(* -1 x)
(* -1 (* x y))
(+ 1 (* -1 (* x y)))
(* (sqrt x) y)
(* x (sqrt y))
(+ 1 (* -1 (* (pow x 3) (pow y 3))))
(* (pow x 3) (pow y 3))
(* x y)
(+ 1 (* x (- (* -1 (* x (pow y 2))) y)))
(+ 1 (* x (- (* x (- (* 2 (* x (pow y 3))) (pow y 2))) y)))
(* (pow x 2) (pow y 2))
(+ 1 (* x y))
(+ 1 (* x (+ y (* x (pow y 2)))))
(* 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))))
(* (pow x 2) (+ (* -1 y) (/ 1 x)))
(* (pow x 2) y)
(* (pow x 2) (+ y (/ 1 (* (pow x 2) y))))
(* (pow x 2) (- (+ y (/ 1 (* (pow x 2) y))) (/ 1 (* (pow x 3) (pow y 2)))))
(* (pow x 2) (- (+ y (+ (/ 1 (* (pow x 2) y)) (/ 1 (* (pow x 4) (pow y 3))))) (/ 1 (* (pow x 3) (pow y 2)))))
(/ 1 (* x y))
(/ (- (/ 1 y) (/ 1 (* (pow x 2) (pow y 3)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 3) (pow y 4)))) (/ 1 (* (pow x 2) (pow y 3)))) x)
(/ (- (+ (/ 1 y) (/ 1 (* (pow x 3) (pow y 4)))) (+ (/ 1 (* (pow x 2) (pow y 3))) (/ 1 (* (pow x 5) (pow y 6))))) x)
(* -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)))
-1
(- (/ 1 (* x y)) 1)
(- (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 2)))) 1)
(- (+ (/ 1 (* x y)) (/ 1 (* (pow x 2) (pow y 2)))) (+ 1 (* 2 (/ 1 (* (pow x 3) (pow y 3))))))
(* (pow x 2) (+ (/ y x) (pow y 2)))
(* (pow x 2) (+ (/ 1 (pow x 2)) (+ (/ y x) (pow y 2))))
(/ 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 (+ (* -1 (/ (- (/ 1 (pow y 2)) (/ 1 (* x (pow y 3)))) (pow x 3))) (/ 1 (* (pow x 2) y)))))
(* -1 (/ (- (/ 1 (* (pow x 2) (pow y 3))) (/ 1 y)) x))
(* -1 (/ (- (/ 1 (* (pow x 2) (pow y 3))) (+ (/ 1 y) (/ 1 (* (pow x 3) (pow y 4))))) x))
(* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow y 4)) (/ 1 (* (pow x 2) (pow y 6)))) (pow x 3))) (/ 1 (* (pow x 2) (pow y 3)))) (/ 1 y)) x))
(* x (* y (pow (sqrt -1) 2)))
(* x (+ (* -1 y) (/ 1 x)))
(* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))
(* (pow x 3) (+ (* -1 (pow y 3)) (/ 1 (pow x 3))))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow y 2)) (* 2 (/ 1 (* x (pow y 3))))) x)) (/ 1 y)) x)) 1)
(* (pow x 2) (+ (* -1 (/ (- (* -1 y) (/ 1 x)) x)) (pow y 2)))
(* -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)))
(+ 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 (* (pow x 3) (pow y 2)))
(+ x (* (pow y 2) (- (* -1 (* (pow x 4) y)) (* -1 (pow x 3)))))
(+ x (* (pow y 2) (- (* y (+ (* -1 (pow x 4)) (* (pow x 5) y))) (* -1 (pow x 3)))))
(+ 1 (* (pow y 2) (+ (* -1 (pow x 2)) (* (pow x 3) y))))
(+ 1 (* (pow y 2) (+ (* -1 (pow x 2)) (* y (- (* -1 (* (pow x 5) (pow y 2))) (* -1 (pow x 3)))))))
(+ 1 (* y (- (* -1 (* (pow x 2) y)) x)))
(+ 1 (* y (- (* y (- (* 2 (* (pow x 3) y)) (pow x 2))) x)))
(+ 1 (* y (+ x (* (pow x 2) y))))
(+ 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 (pow y 2)) (pow x 2)))
(* y (- (+ (/ 1 (pow y 2)) (pow x 2)) (/ 1 (* x (pow y 3)))))
(* y (- (+ (/ 1 (* (pow x 2) (pow y 4))) (+ (/ 1 (pow y 2)) (pow x 2))) (/ 1 (* x (pow y 3)))))
(/ (- (/ 1 x) (/ 1 (* (pow x 3) (pow y 2)))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (/ 1 (* (pow x 3) (pow y 2)))) y)
(/ (- (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3)))) (+ (/ 1 (* (pow x 3) (pow y 2))) (/ 1 (* (pow x 6) (pow y 5))))) y)
(* (pow y 2) (- (/ 1 (pow y 2)) (pow x 2)))
(* y (- (/ 1 y) x))
(* (pow y 3) (- (/ 1 (pow y 3)) (pow x 3)))
(* (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))) (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 (- (* -1 (pow x 2)) (/ 1 (pow y 2)))))
(* -1 (* y (- (+ (* -1 (pow x 2)) (/ 1 (* x (pow y 3)))) (/ 1 (pow y 2)))))
(* -1 (* y (- (+ (* -1 (/ (- (/ 1 (* (pow x 2) y)) (/ 1 x)) (pow y 3))) (* -1 (pow x 2))) (/ 1 (pow y 2)))))
(* -1 (/ (- (/ 1 (* (pow x 3) (pow y 2))) (/ 1 x)) y))
(* -1 (/ (- (/ 1 (* (pow x 3) (pow y 2))) (+ (/ 1 x) (/ 1 (* (pow x 4) (pow y 3))))) y))
(* -1 (/ (- (+ (* -1 (/ (- (/ 1 (pow x 4)) (/ 1 (* (pow x 6) (pow y 2)))) (pow y 3))) (/ 1 (* (pow x 3) (pow y 2)))) (/ 1 x)) y))
(* y (+ (* -1 x) (/ 1 y)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* (pow y 3) (+ (* -1 (pow x 3)) (/ 1 (pow y 3))))
(- (* -1 (/ (- (* -1 (/ (- (/ 1 (pow x 2)) (* 2 (/ 1 (* (pow x 3) y)))) y)) (/ 1 x)) y)) 1)
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(/ (+ (* -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)
(* x (+ 1 (* x (- (* -1 (* x (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 0 binary64) x) y) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (- (* x (* y (+ (* -1 (pow y 2)) (pow y 2)))) (+ (* -1 (pow y 2)) (pow y 2)))) y))))
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal 0 binary64) y) x #s(literal 0 binary64)) x) y) x #s(literal 1 binary64)) x)
(* x (+ 1 (* (pow x 2) (pow y 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 y y) x)
(* x (+ 1 (* (pow x 2) (- (* -1 (* x (pow y 3))) (* -1 (pow y 2))))))
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(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 y)) #s(literal 1 binary64))
(* (pow y 2) (+ (* -1 (/ (- (* -1 x) (/ 1 y)) y)) (pow x 2)))
(*.f64 (fma.f64 x x (/.f64 (fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))) (*.f64 y y))
(/ (+ (* -1 (/ (- (/ 1 (pow x 2)) (/ 1 (* (pow x 4) (pow y 2)))) y)) (/ 1 x)) (pow y 2))
(/.f64 (fma.f64 (-.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)))) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (*.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 (-.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 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) y) y))) (neg.f64 y)) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y))

rewrite217.0ms (3.7%)

Memory
14.1MiB live, 440.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042269
070267
1228260
21423225
08851225
Stop Event
iter limit
node limit
iter limit
Counts
24 → 913
Calls
Call 1
Inputs
(*.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 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))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))
#s(approx (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 (*.f64 (neg.f64 x) x) y)
(*.f64 (neg.f64 x) x)
(neg.f64 x)
(*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
#s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 x) y)
(*.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 (-.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)))
(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 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) (/.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 6 binary64))))) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(*.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) (/.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 9 binary64))))) (/.f64 x (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 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 6 binary64))))) (/.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 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 9 binary64))))) (/.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.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))))) (/.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.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))))) (/.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)))) (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))))
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) x) (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))))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 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 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(*.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) (/.f64 x (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))))
(*.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))))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) (/.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))))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.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))))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.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))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.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))))) (/.f64 x (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))))
(*.f64 (/.f64 x (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (-.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)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)))))
(*.f64 (/.f64 x (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.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))))))
(*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (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 3 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.f64 x (*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) (/.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)))))))
(*.f64 x (/.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) (/.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))))))
(*.f64 x (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) (/.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)))))))
(/.f64 (*.f64 (neg.f64 x) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)))) (/.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)))))
(/.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) 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 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) (/.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))))))
(/.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) 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)))))
(/.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (/.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 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)))) (/.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))))))
(neg.f64 (/.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) 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 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))))
(neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) x) (*.f64 (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)) (/.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)))))))
(neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) 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))))))
(neg.f64 (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) x) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (neg.f64 y) #s(literal -1 binary64))))
(neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) x) (*.f64 (/.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 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)))))
(neg.f64 (*.f64 (/.f64 (*.f64 (neg.f64 x) (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)))) (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)))))
(neg.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (/.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))))) (/.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)))))
(neg.f64 (*.f64 (/.f64 (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))) (/.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)))))))
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(*.f64 (/.f64 x (-.f64 (pow.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 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 (pow.f64 (*.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (neg.f64 y) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) (neg.f64 y) #s(literal -1 binary64)))
(/.f64 x (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (fma.f64 (*.f64 (fma.f64 y x #s(literal 1 binary64)) x) y #s(literal 1 binary64))))

eval343.0ms (5.8%)

Memory
29.7MiB live, 501.8MiB allocated
Compiler

Compiled 69 749 to 5 691 computations (91.8% saved)

prune47.0ms (0.8%)

Memory
-16.0MiB live, 134.1MiB allocated
Pruning

12 alts after pruning (1 fresh and 11 done)

PrunedKeptTotal
New1 73411 735
Fresh000
Picked235
Done088
Total1 736121 748
Accuracy
100.0%
Counts
1 748 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
73.1%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y x) (*.f64 y x))) x) (fma.f64 y x #s(literal 1 binary64)))
92.6%
(-.f64 x (*.f64 (*.f64 x x) y))
57.3%
(*.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) y)) (neg.f64 x) #s(literal 1 binary64)) (/.f64 x (fma.f64 (fma.f64 y x #s(literal 1 binary64)) (*.f64 y x) #s(literal 1 binary64))))
53.4%
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
99.9%
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
27.3%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
29.5%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
57.6%
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
45.1%
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
54.0%
#s(approx (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
2.6%
#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
Compiler

Compiled 502 to 211 computations (58% saved)

regimes21.0ms (0.4%)

Memory
7.6MiB live, 51.1MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
#s(approx (- x (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) x) y))
#s(approx (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (neg.f64 x) y)))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 x (*.f64 (*.f64 x x) y))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 x) y) (neg.f64 (sqrt.f64 x)))))
(*.f64 x #s(approx (- 1 (* x y)) (*.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (sqrt.f64 y)))))
(-.f64 x (*.f64 (*.f64 (sqrt.f64 y) x) (*.f64 (sqrt.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 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y x) y) x)) x) (fma.f64 y x #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 x x) y)) (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (*.f64 y x) y)) (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 x (fma.f64 (sqrt.f64 (*.f64 (neg.f64 x) y)) (sqrt.f64 (*.f64 (neg.f64 x) y)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 (*.f64 y x) (*.f64 (*.f64 y x) y)) (neg.f64 x) #s(literal 1 binary64)) (/.f64 x (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 #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 (*.f64 (*.f64 (neg.f64 x) y) y) (fma.f64 y x #s(literal 1 binary64))) (/.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 y x #s(literal 1 binary64)) #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))))
Outputs
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Calls

3 calls:

9.0ms
x
6.0ms
y
5.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
99.9%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
99.9%1x
99.9%1y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory
-22.2MiB live, 23.7MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
#s(approx (- x (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) x) y))
#s(approx (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.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:

4.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
85.9%3(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
79.7%3x
79.3%3y
Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
#s(approx (- x (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) x) y))
#s(approx (/ (* (- 1 (* (* y x) (* y x))) x) (+ (* y x) 1)) (*.f64 (*.f64 (neg.f64 x) x) y))
Outputs
#s(approx (- x (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) x) y))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (- x (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) x) y))
Calls

1 calls:

2.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Results
AccuracySegmentsBranch
83.9%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
18.0MiB live, 18.0MiB allocated
Accuracy

Total -27.2b remaining (-77.3%)

Threshold costs -27.2b (-77.3%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
#s(approx (* x (+ (* (sqrt (* (* x x) y)) (sqrt y)) 1)) (*.f64 (*.f64 x x) y))
Outputs
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))
Calls

3 calls:

1.0ms
x
1.0ms
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
1.0ms
y
Results
AccuracySegmentsBranch
45.1%1y
45.1%1x
45.1%1(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y)))
Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.002426863554542471
132798964159267.63
0.0ms
-9.077760432742529e+140
-8.371645234524102e+133
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.002426863554542471
132798964159267.63
0.0ms
-9.077760432742529e+140
-8.371645234524102e+133
Compiler

Compiled 10 to 11 computations (-10% saved)

simplify30.0ms (0.5%)

Memory
-39.0MiB live, 60.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028102
154102
2107102
3189102
4264102
5276102
6287102
7314102
8415102
9650102
10880102
11884102
12884102
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 -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 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 1152921504606847/288230376151711744 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 -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) #s(approx (- x (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (- x (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) x) y))))
(*.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 -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 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 1152921504606847/288230376151711744 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 -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) (not (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1152921504606847/288230376151711744 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 -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) #s(approx (- x (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) x) y)) (if (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))) #s(approx (- x (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) x) y))))
(if (or (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal -500000000000000008488109619119479852070522586786553369815300517557998872033608454479131162978127556439704227115577799618229701016825446268928 binary64)) (not (<=.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x y))) #s(literal 1152921504606847/288230376151711744 binary64)))) #s(approx (- x (* (* x x) y)) (*.f64 (*.f64 (neg.f64 x) x) y)) (*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64))))
(*.f64 x #s(approx (- 1 (* x y)) #s(literal 1 binary64)))

soundness835.0ms (14.2%)

Memory
35.9MiB live, 474.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0264974
1844904
22402878
37050865
08433843
03485
111275
225875
381075
4346075
0810675
0615
0915
13015
217615
3144915
0891213
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 137 to 60 computations (56.2% saved)

preprocess47.0ms (0.8%)

Memory
-36.0MiB live, 52.9MiB allocated
Compiler

Compiled 218 to 70 computations (67.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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