Examples.Basics.BasicTests:f2 from sbv-4.4

Time bar (total: 2.2s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
1×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 7 computations (22.2% saved)

sample854.0ms (38.5%)

Memory
15.0MiB live, 1 449.8MiB allocated; 235ms collecting garbage
Samples
590.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 329.0ms
ival-mult: 263.0ms (80% of total)
ival-sub: 55.0ms (16.7% of total)
ival-true: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain117.0ms (5.3%)

Memory
6.7MiB live, 111.1MiB allocated; 24ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
80-0-(-.f64 (*.f64 x x) (*.f64 y y))
00-0-y
00-0-(*.f64 y y)
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (*.f64 x x) (*.f64 y y))nan-rescue80
↳(*.f64 x x)overflow63
↳(*.f64 y y)overflow60
Confusion
Predicted +Predicted -
+80
-0248
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+800
-00248
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0248
18
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
54.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-mult: 12.0ms (70.5% of total)
ival-sub: 4.0ms (23.5% of total)
ival-true: 1.0ms (5.9% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess128.0ms (5.8%)

Memory
-2.6MiB live, 86.2MiB allocated; 22ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01338
14835
221535
337135
490935
5192335
6292635
7326935
8334735
9334735
10354635
057
087
1217
2817
32237
44037
58367
613857
720697
828987
932087
1032707
1132707
1233487
033487
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 y y))
Outputs
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (-.f64 x y) (+.f64 y x))
Symmetry

(abs y)

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶96.9%
(-.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

series4.0ms (0.2%)

Memory
5.9MiB live, 5.9MiB allocated; 0ms collecting garbage
Counts
5 → 9
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(pow x 2)
x
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(+ (* -1 (pow y 2)) (pow x 2))
(pow y 2)
y
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
Calls

6 calls:

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

simplify205.0ms (9.2%)

Memory
21.6MiB live, 202.6MiB allocated; 60ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01746
14046
215246
394346
4554146
0845845
Stop Event
1×iter limit
1×node limit
Counts
9 → 7
Calls
Call 1
Inputs
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(pow x 2)
x
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(+ (* -1 (pow y 2)) (pow x 2))
(pow y 2)
y
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
Outputs
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(- (pow x 2) (pow y 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
x
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow y 2)
(*.f64 y y)
y
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)) (*.f64 y y))

rewrite97.0ms (4.4%)

Memory
-35.6MiB live, 63.6MiB allocated; 35ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
13715
032915
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
5 → 75
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
x
(*.f64 y y)
y
Outputs
(*.f64 (+.f64 (neg.f64 x) (neg.f64 y)) (-.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (+.f64 (neg.f64 x) (fabs.f64 y)) (-.f64 (neg.f64 x) (fabs.f64 y)))
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(*.f64 (+.f64 (fabs.f64 x) (neg.f64 y)) (-.f64 (fabs.f64 x) (neg.f64 y)))
(*.f64 (+.f64 (fabs.f64 x) (fabs.f64 y)) (-.f64 (fabs.f64 x) (fabs.f64 y)))
(*.f64 (+.f64 (fabs.f64 x) y) (-.f64 (fabs.f64 x) y))
(*.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(*.f64 (+.f64 x (fabs.f64 y)) (-.f64 x (fabs.f64 y)))
(*.f64 (-.f64 x y) (+.f64 y x))
(*.f64 (+.f64 y x) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 y (neg.f64 y) (*.f64 x x))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(fma.f64 x x (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (fabs.f64 y)) (neg.f64 (fabs.f64 y)))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
y

eval8.0ms (0.3%)

Memory
14.5MiB live, 14.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 894 to 181 computations (79.8% saved)

prune3.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated; 0ms collecting garbage
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New80282
Fresh000
Picked101
Done000
Total81283
Accuracy
100.0%
Counts
83 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(*.f64 (-.f64 x y) (+.f64 y x))
▶51.9%
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
Compiler

Compiled 19 to 13 computations (31.6% saved)

series6.0ms (0.3%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Counts
8 → 31
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(*.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
x
(+.f64 y x)
Outputs
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(* -1 y)
(- x y)
x
y
(+ x y)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ x (* -1 y))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

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

simplify199.0ms (9%)

Memory
-2.7MiB live, 137.2MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092205
1299200
21122200
08075193
Stop Event
1×iter limit
1×node limit
Counts
31 → 29
Calls
Call 1
Inputs
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(* -1 y)
(- x y)
x
y
(+ x y)
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(* x (+ 1 (* -1 (/ y x))))
(* x (+ 1 (/ y x)))
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(* -1 (* x (- (/ y x) 1)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (* -1 (pow y 2)) (pow x 2))
(+ (* y (+ x (* -1 x))) (pow x 2))
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(+ x (* -1 y))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(* y (- (/ x y) 1))
(* y (+ 1 (/ x y)))
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(- (pow x 2) (pow y 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* -1 (pow y 2)) (* x (+ y (* -1 y))))
(*.f64 (neg.f64 y) y)
(+ (* -1 (pow y 2)) (* x (+ x (+ y (* -1 y)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* -1 y)
(neg.f64 y)
(- x y)
(-.f64 x y)
x
y
(+ x y)
(+.f64 y x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(*.f64 (neg.f64 (*.f64 x (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)))) x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ y x))))
(*.f64 x x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ y x)))))
(*.f64 (neg.f64 (*.f64 x (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)))) x)
(* x (+ 1 (* -1 (/ y x))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* (pow x 2) (+ 1 (* -1 (/ (+ (* -1 (+ y (* -1 y))) (/ (pow y 2) x)) x))))
(*.f64 (neg.f64 (*.f64 x (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)))) x)
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(fma.f64 (/.f64 y x) x x)
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* y (+ x (* -1 x))) (pow x 2))
(*.f64 x x)
(+ (* y (+ x (+ (* -1 x) (* -1 y)))) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ x (* -1 y))
(-.f64 x y)
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)) (*.f64 y y))
(* (pow y 2) (- (+ (* -1 (/ x y)) (/ x y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (+ (* -1 (/ x y)) (+ (/ x y) (/ (pow x 2) (pow y 2)))) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)) (*.f64 y y))
(* y (- (/ x y) 1))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* (pow y 2) (- (* -1 (/ (+ x (* -1 x)) y)) 1))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (* -1 (/ (+ x (+ (* -1 x) (* -1 (/ (pow x 2) y)))) y)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)) (*.f64 y y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(fma.f64 (/.f64 x y) y y)

rewrite71.0ms (3.2%)

Memory
-12.8MiB live, 33.7MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
01633
16833
061033
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
8 → 96
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
(*.f64 (-.f64 x y) (+.f64 y x))
(-.f64 x y)
x
(+.f64 y x)
Outputs
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 y))
(*.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 y) y)
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
(neg.f64 y)
y
(*.f64 (+.f64 (neg.f64 x) (fabs.f64 y)) (-.f64 (neg.f64 x) (fabs.f64 y)))
(*.f64 (+.f64 (neg.f64 x) (neg.f64 y)) (-.f64 (neg.f64 x) (neg.f64 y)))
(*.f64 (+.f64 (neg.f64 x) y) (-.f64 (neg.f64 x) y))
(*.f64 (+.f64 (fabs.f64 x) (fabs.f64 y)) (-.f64 (fabs.f64 x) (fabs.f64 y)))
(*.f64 (+.f64 (fabs.f64 x) (neg.f64 y)) (-.f64 (fabs.f64 x) (neg.f64 y)))
(*.f64 (+.f64 (fabs.f64 x) y) (-.f64 (fabs.f64 x) y))
(*.f64 (+.f64 x (fabs.f64 y)) (-.f64 x (fabs.f64 y)))
(*.f64 (+.f64 x (neg.f64 y)) (-.f64 x (neg.f64 y)))
(*.f64 (+.f64 y x) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 y x))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 x y)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 x y)) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 y x)) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x)) (+.f64 y x))
(/.f64 (*.f64 (+.f64 y x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 y x) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 y x))
(/.f64 (*.f64 (-.f64 x y) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(/.f64 (*.f64 (-.f64 x y) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) y)) (*.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) x))) (-.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x)))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x y) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) y) (-.f64 (*.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) x)) (*.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (neg.f64 y) y) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 x x) (*.f64 (neg.f64 y) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (-.f64 y x) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (+.f64 y x) (-.f64 x y))) (*.f64 (-.f64 y x) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 x y) x (*.f64 y y)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 y x))) (*.f64 (+.f64 y x) (-.f64 y x)))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (+.f64 y x) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 (fabs.f64 y)) (fabs.f64 y) (*.f64 x x))
(fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 y) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 (neg.f64 y) y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (fabs.f64 y) (neg.f64 (fabs.f64 y)) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (-.f64 x y) y (*.f64 (-.f64 x y) x))
(fma.f64 (-.f64 x y) x (*.f64 (-.f64 x y) y))
(fma.f64 (neg.f64 y) (neg.f64 (neg.f64 y)) (*.f64 x x))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(fma.f64 y (-.f64 x y) (*.f64 (-.f64 x y) x))
(fma.f64 y (neg.f64 y) (*.f64 x x))
(fma.f64 x (-.f64 x y) (*.f64 (-.f64 x y) y))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 (-.f64 x y) y) (*.f64 (neg.f64 x) (-.f64 x y)))
(-.f64 (*.f64 (-.f64 x y) y) (*.f64 (neg.f64 (-.f64 x y)) x))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 y)) y))
(-.f64 (*.f64 x x) (*.f64 y y))
(+.f64 (*.f64 (-.f64 x y) x) (*.f64 (-.f64 x y) y))
(+.f64 (*.f64 (-.f64 x y) y) (*.f64 (-.f64 x y) x))
(+.f64 (*.f64 (neg.f64 y) y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y x) (-.f64 y x))) (-.f64 y x))
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (+.f64 y x)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (+.f64 y x))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (+.f64 y x) (*.f64 x x))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)))
(-.f64 x y)
(+.f64 (/.f64 (*.f64 (-.f64 x y) y) (+.f64 y x)) (/.f64 (*.f64 (-.f64 x y) x) (+.f64 y x)))
(+.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 (neg.f64 y) y) (+.f64 y x)))
x
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 x y) x (*.f64 y y))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 y x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 x y) x (*.f64 y y)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x y) x (*.f64 y y))))
(+.f64 y x)
(+.f64 x y)

eval10.0ms (0.5%)

Memory
19.3MiB live, 19.2MiB allocated; 0ms collecting garbage
Compiler

Compiled 1 813 to 296 computations (83.7% saved)

prune52.0ms (2.4%)

Memory
-38.3MiB live, 8.5MiB allocated; 2ms collecting garbage
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1151116
Fresh000
Picked022
Done000
Total1153118
Accuracy
100.0%
Counts
118 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (-.f64 x y) (+.f64 y x))
✓51.9%
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
▶54.8%
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Counts
3 → 7
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
x
Outputs
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(pow x 2)
x
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(+ (* -1 (pow y 2)) (pow x 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@inf
((- (* x x) (* y y)) (* x x) x)
1.0ms
x
@-inf
((- (* x x) (* y y)) (* x x) x)
0.0ms
x
@0
((- (* x x) (* y y)) (* x x) x)
0.0ms
y
@-inf
((- (* x x) (* y y)) (* x x) x)
0.0ms
y
@inf
((- (* x x) (* y y)) (* x x) x)

simplify133.0ms (6%)

Memory
40.1MiB live, 182.3MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01742
14042
215242
394342
4554142
0845841
Stop Event
1×iter limit
1×node limit
Counts
7 → 6
Calls
Call 1
Inputs
(* -1 (pow y 2))
(- (pow x 2) (pow y 2))
(pow x 2)
x
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(+ (* -1 (pow y 2)) (pow x 2))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
Outputs
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(- (pow x 2) (pow y 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(pow x 2)
(*.f64 x x)
x
(* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(+ (* -1 (pow y 2)) (pow x 2))
(fma.f64 (neg.f64 y) y (*.f64 x x))
(* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) x #s(literal -1 binary64)) (*.f64 y y))

rewrite43.0ms (2%)

Memory
-17.9MiB live, 73.0MiB allocated; 8ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0715
0815
13715
032915
Stop Event
1×iter limit
1×iter limit
1×iter limit
1×unsound
1×iter limit
Counts
3 → 16
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x

eval2.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Compiler

Compiled 278 to 59 computations (78.8% saved)

prune2.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated; 0ms collecting garbage
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New21021
Fresh000
Picked011
Done022
Total21324
Accuracy
100.0%
Counts
24 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(*.f64 (-.f64 x y) (+.f64 y x))
✓51.9%
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
✓54.8%
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Compiler

Compiled 67 to 35 computations (47.8% saved)

regimes88.0ms (4%)

Memory
-35.4MiB live, 33.1MiB allocated; 80ms collecting garbage
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
(*.f64 (-.f64 x y) (+.f64 y x))
(-.f64 (*.f64 x x) (*.f64 y y))
Outputs
(*.f64 (-.f64 x y) (+.f64 y x))
Calls

5 calls:

81.0ms
x
2.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
2.0ms
y
2.0ms
(*.f64 x x)
2.0ms
(*.f64 y y)
Results
AccuracySegmentsBranch
100.0%1(*.f64 y y)
100.0%1(*.f64 x x)
100.0%1(-.f64 (*.f64 x x) (*.f64 y y))
100.0%1x
100.0%1y
Compiler

Compiled 15 to 15 computations (0% saved)

regimes7.0ms (0.3%)

Memory
18.3MiB live, 18.3MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (* x x) (* y y)) (*.f64 x x))
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
Outputs
#s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y))
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Calls

5 calls:

1.0ms
y
1.0ms
x
1.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
1.0ms
(*.f64 y y)
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
83.4%2(*.f64 y y)
81.2%2(*.f64 x x)
97.1%2(-.f64 (*.f64 x x) (*.f64 y y))
81.2%2x
83.4%2y
Compiler

Compiled 15 to 15 computations (0% saved)

regimes18.0ms (0.8%)

Memory
-29.1MiB live, 20.7MiB allocated; 5ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

5 calls:

13.0ms
(*.f64 y y)
1.0ms
x
1.0ms
y
1.0ms
(-.f64 (*.f64 x x) (*.f64 y y))
1.0ms
(*.f64 x x)
Results
AccuracySegmentsBranch
54.8%1(*.f64 x x)
54.8%1x
54.8%1(*.f64 y y)
54.8%1y
54.8%1(-.f64 (*.f64 x x) (*.f64 y y))
Compiler

Compiled 15 to 15 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-3.681872723753311e-303
0.0
Compiler

Compiled 10 to 10 computations (0% saved)

simplify60.0ms (2.7%)

Memory
-2.2MiB live, 43.8MiB allocated; 4ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01851
13951
210451
324751
442551
586051
6140951
7209351
8292451
9323451
10329651
11329651
12337451
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 x y) (+.f64 y x))
(if (<=.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #s(approx (- (* x x) (* y y)) (*.f64 x x)))
#s(approx (- (* x x) (* y y)) (*.f64 x x))
Outputs
(*.f64 (-.f64 x y) (+.f64 y x))
(if (<=.f64 (-.f64 (*.f64 x x) (*.f64 y y)) #s(literal -6176826577981891/3088413288990945714607167766096760666649729152895234960279866913260350640380788374205938472006792060778611417607373228628384532735989280347702230834056678923362997806954442769843550227998248540363155634742320939156524772391123850992097524347673943425610505012700786888921103128284156837954503288400970554554866145951744 binary64)) #s(approx (- (* x x) (* y y)) (*.f64 (neg.f64 y) y)) #s(approx (- (* x x) (* y y)) (*.f64 x x)))
#s(approx (- (* x x) (* y y)) (*.f64 x x))

derivations92.0ms (4.2%)

Memory
-8.2MiB live, 92.7MiB allocated; 7ms collecting garbage
Stop Event
1×done
Compiler

Compiled 51 to 18 computations (64.7% saved)

preprocess17.0ms (0.8%)

Memory
-2.3MiB live, 43.6MiB allocated; 4ms collecting garbage
Remove

(abs x)

(abs y)

Compiler

Compiled 144 to 66 computations (54.2% saved)

end0.0ms (0%)

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

Profiling

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