Radioactive exchange between two surfaces

Time bar (total: 1.4s)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated; 0ms collecting garbage
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)

sample931.0ms (64.3%)

Memory
38.4MiB live, 1 162.7MiB allocated; 258ms collecting garbage
Samples
662.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 383.0ms
ival-pow: 345.0ms (90.1% of total)
ival-sub!: 37.0ms (9.7% of total)
adjust: 1.0ms (0.3% of total)
Bogosity

explain72.0ms (5%)

Memory
0.1MiB live, 145.5MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
410-0-(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
00-0-y
00-0-(pow.f64 x #s(literal 4 binary64))
00-0-(pow.f64 y #s(literal 4 binary64))
00-0-#s(literal 4 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))nan-rescue410
(pow.f64 x #s(literal 4 binary64))overflow103
(pow.f64 y #s(literal 4 binary64))overflow97
Confusion
Predicted +Predicted -
+410
-0215
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+4100
-00215
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0215
141
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
29.0ms512×0valid
Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-pow: 15.0ms (94.6% of total)
ival-sub!: 1.0ms (6.3% of total)
adjust: 0.0ms (0% of total)

preprocess7.0ms (0.5%)

Memory
20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01548
Stop Event
saturated
Alt Table
Click to see full alt table
StatusAccuracyProgram
84.0%
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Compiler

Compiled 14 to 12 computations (14.3% saved)

series8.0ms (0.5%)

Memory
-28.6MiB live, 18.3MiB allocated; 3ms collecting garbage
Counts
6 → 10
Calls
Call 1
Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
Outputs
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx x #s(hole binary64 x))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx y #s(hole binary64 y))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
y
@inf
((- (pow x 4) (pow y 4)) (pow x 4) x 4 (pow y 4) y)
1.0ms
x
@inf
((- (pow x 4) (pow y 4)) (pow x 4) x 4 (pow y 4) y)
1.0ms
y
@0
((- (pow x 4) (pow y 4)) (pow x 4) x 4 (pow y 4) y)
1.0ms
x
@0
((- (pow x 4) (pow y 4)) (pow x 4) x 4 (pow y 4) y)
1.0ms
y
@-inf
((- (pow x 4) (pow y 4)) (pow x 4) x 4 (pow y 4) y)

rewrite59.0ms (4.1%)

Memory
24.9MiB live, 71.9MiB allocated; 3ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
030136
032132
1115131
0866131
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
16 → 74
Calls
Call 1
Inputs
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
(pow.f64 y #s(literal 4 binary64))
y
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx x #s(hole binary64 x))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx y #s(hole binary64 y))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))
Outputs
(*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64)))) (neg.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 8 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 12 binary64))) (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) (neg.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64))))))
(/.f64 (fma.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 12 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64)))))
(fma.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (neg.f64 (*.f64 y y)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (fabs.f64 (*.f64 x x)) (fabs.f64 (*.f64 x x)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (*.f64 y y) (neg.f64 (*.f64 y y)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 (*.f64 x x) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 y #s(literal 8 binary64)) (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64))) (pow.f64 x #s(literal 8 binary64)))))
(-.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(+.f64 (/.f64 (neg.f64 (pow.f64 y #s(literal 12 binary64))) (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))) (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (pow.f64 y #s(literal 8 binary64)) (+.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))))
(+.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)))
(*.f64 (fabs.f64 (*.f64 x x)) (fabs.f64 (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) #s(literal 0 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
x
#s(literal 4 binary64)
(*.f64 (neg.f64 (*.f64 y y)) (neg.f64 (*.f64 y y)))
(*.f64 (fabs.f64 (*.f64 y y)) (fabs.f64 (*.f64 y y)))
(*.f64 (*.f64 y y) (*.f64 y y))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 4 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))))
y
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (pow x 4) (pow y 4)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx x x)
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow x 4) (pow y 4)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (pow y 4) (pow.f64 y #s(literal 4 binary64)))
#s(approx y y)
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))

eval6.0ms (0.4%)

Memory
15.1MiB live, 15.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 971 to 185 computations (80.9% saved)

prune7.0ms (0.5%)

Memory
-38.4MiB live, 10.6MiB allocated; 3ms collecting garbage
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New71374
Fresh000
Picked101
Done000
Total72375
Accuracy
100.0%
Counts
75 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
92.8%
(*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))
57.7%
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
56.6%
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
Compiler

Compiled 37 to 26 computations (29.7% saved)

series9.0ms (0.6%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Counts
13 → 34
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
(*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))
(fma.f64 x x (*.f64 y y))
(*.f64 y y)
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
Outputs
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (pow y 2))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (+ (pow x 2) (pow y 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (- (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (neg (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx y #s(hole binary64 y))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) y 4 (- (pow x 4) (pow y 4)) (pow x 4) x (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* x x))
2.0ms
x
@inf
((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) y 4 (- (pow x 4) (pow y 4)) (pow x 4) x (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* x x))
2.0ms
y
@0
((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) y 4 (- (pow x 4) (pow y 4)) (pow x 4) x (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* x x))
1.0ms
y
@-inf
((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) y 4 (- (pow x 4) (pow y 4)) (pow x 4) x (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* x x))
1.0ms
x
@-inf
((- (pow x 4) (pow y 4)) (neg (pow y 4)) (pow y 4) y 4 (- (pow x 4) (pow y 4)) (pow x 4) x (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ (* x x) (* y y)) (* y y) (- (* x x) (* y y)) (* x x))

rewrite38.0ms (2.6%)

Memory
4.1MiB live, 51.5MiB allocated; 2ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113737
0125611
0614603
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
47 → 87
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 x #s(literal 4 binary64))
x
(*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))
(fma.f64 x x (*.f64 y y))
(*.f64 y y)
(-.f64 (*.f64 x x) (*.f64 y y))
(*.f64 x x)
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx x #s(hole binary64 x))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (pow y 2))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* -1 (pow y 4)) (* (pow x 2) (+ (* -1 (pow y 2)) (+ (pow x 2) (pow y 2)))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow y 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (+ (pow x 2) (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (- (pow x 2) (pow y 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (pow x 4)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow x 4) (+ 1 (+ (* -1 (/ (pow y 2) (pow x 2))) (+ (* -1 (/ (pow y 4) (pow x 4))) (/ (pow y 2) (pow x 2))))))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (/ (pow y 2) (pow x 2))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (pow y 2) (pow x 2)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (neg (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (pow y 4) #s(hole binary64 (pow y 4)))
#s(approx y #s(hole binary64 y))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* (pow y 2) (+ (* -1 (pow x 2)) (pow x 2))) (pow x 4))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (+ (* (pow y 2) (+ (* -1 (pow x 2)) (+ (* -1 (pow y 2)) (pow x 2)))) (pow x 4))))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (+ (* -1 (pow y 2)) (pow x 2))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))) 1))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) #s(hole binary64 (* (pow y 4) (- (+ (* -1 (/ (pow x 2) (pow y 2))) (+ (/ (pow x 2) (pow y 2)) (/ (pow x 4) (pow y 4)))) 1))))
#s(approx (+ (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (+ 1 (/ (pow x 2) (pow y 2))))))
#s(approx (- (* x x) (* y y)) #s(hole binary64 (* (pow y 2) (- (/ (pow x 2) (pow y 2)) 1))))
Outputs
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 y y) (*.f64 y y))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
y
#s(literal 4 binary64)
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
x
(*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (+.f64 x y) (-.f64 x y)))
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 y y (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.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 y y)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) (-.f64 x y)))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 y y))
(fma.f64 (neg.f64 y) (neg.f64 y) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 y y))
(fma.f64 (fabs.f64 y) (fabs.f64 y) (*.f64 x x))
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(-.f64 (*.f64 x x) (*.f64 (neg.f64 y) y))
(+.f64 (*.f64 y y) (*.f64 x x))
(+.f64 (*.f64 x x) (*.f64 y y))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(*.f64 (+.f64 x y) (-.f64 x y))
(/.f64 (-.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) (pow.f64 (*.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 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)))
(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 x) (neg.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (neg.f64 y) y))
(fma.f64 x x (*.f64 (neg.f64 y) y))
(-.f64 (*.f64 x x) (*.f64 y 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 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx x x)
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 y y)) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 y y) #s(literal -1 binary64) (fma.f64 y y (*.f64 x x))) (*.f64 x x) (neg.f64 (pow.f64 y #s(literal 4 binary64)))))
#s(approx (+ (* x x) (* y y)) (*.f64 y y))
#s(approx (+ (* x x) (* y y)) (fma.f64 y y (*.f64 x x)))
#s(approx (- (* x x) (* y y)) (neg.f64 (*.f64 y y)))
#s(approx (- (* x x) (* y y)) (*.f64 (+.f64 x y) (-.f64 x y)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (*.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (*.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (*.f64 (+.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64) (/.f64 (*.f64 y y) (*.f64 x x)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* x x) (* y y)) (*.f64 x x))
#s(approx (+ (* x x) (* y y)) (*.f64 (+.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (- (* x x) (* y y)) (*.f64 x x))
#s(approx (- (* x x) (* y y)) (*.f64 (fma.f64 (/.f64 (*.f64 y y) (*.f64 x x)) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 x x)))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (neg (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (pow y 4) (pow.f64 y #s(literal 4 binary64)))
#s(approx y y)
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (fma.f64 (*.f64 #s(literal 0 binary64) (*.f64 x x)) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal -1 binary64) (fma.f64 x x (neg.f64 (*.f64 y y)))) (*.f64 y y) (pow.f64 x #s(literal 4 binary64))))
#s(approx (* y y) (*.f64 y y))
#s(approx (- (* x x) (* y y)) (fma.f64 x x (neg.f64 (*.f64 y y))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) (*.f64 y y))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (+ (* x x) (* y y)) (- (* x x) (* y y))) (*.f64 (-.f64 (fma.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (+ (* x x) (* y y)) (*.f64 (+.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y)))
#s(approx (- (* x x) (* y y)) (*.f64 (-.f64 (/.f64 (*.f64 x x) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y y)))

eval11.0ms (0.8%)

Memory
-22.3MiB live, 24.5MiB allocated; 2ms collecting garbage
Compiler

Compiled 1 975 to 277 computations (86% saved)

prune3.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1052107
Fresh000
Picked123
Done000
Total1064110
Accuracy
100.0%
Counts
110 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.7%
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
57.6%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
56.6%
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
56.5%
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))
Compiler

Compiled 54 to 38 computations (29.6% saved)

series6.0ms (0.4%)

Memory
14.2MiB live, 14.2MiB allocated; 0ms collecting garbage
Counts
9 → 13
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))
(neg.f64 (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (*.f64 y y) (*.f64 y y))
(*.f64 y y)
y
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
Outputs
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (neg (* (* y y) (* y y))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (* y y) (* y y)) #s(hole binary64 (pow y 4)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
y
@inf
((- (pow x 4) (pow y 4)) (neg (* (* y y) (* y y))) (* (* y y) (* y y)) (* y y) y (- (pow x 4) (pow y 4)) (* (* x x) (* x x)) (* x x) x)
1.0ms
y
@-inf
((- (pow x 4) (pow y 4)) (neg (* (* y y) (* y y))) (* (* y y) (* y y)) (* y y) y (- (pow x 4) (pow y 4)) (* (* x x) (* x x)) (* x x) x)
1.0ms
x
@inf
((- (pow x 4) (pow y 4)) (neg (* (* y y) (* y y))) (* (* y y) (* y y)) (* y y) y (- (pow x 4) (pow y 4)) (* (* x x) (* x x)) (* x x) x)
1.0ms
x
@-inf
((- (pow x 4) (pow y 4)) (neg (* (* y y) (* y y))) (* (* y y) (* y y)) (* y y) y (- (pow x 4) (pow y 4)) (* (* x x) (* x x)) (* x x) x)
1.0ms
x
@0
((- (pow x 4) (pow y 4)) (neg (* (* y y) (* y y))) (* (* y y) (* y y)) (* y y) y (- (pow x 4) (pow y 4)) (* (* x x) (* x x)) (* x x) x)

rewrite66.0ms (4.5%)

Memory
-29.9MiB live, 76.3MiB allocated; 13ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045217
053180
1175179
01453179
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
22 → 140
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))
(neg.f64 (*.f64 (*.f64 y y) (*.f64 y y)))
(*.f64 (*.f64 y y) (*.f64 y y))
(*.f64 y y)
y
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (neg (* (* y y) (* y y))) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (* y y) (* y y)) #s(hole binary64 (pow y 4)))
#s(approx (* y y) #s(hole binary64 (pow y 2)))
#s(approx y #s(hole binary64 y))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))
Outputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y)
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) y)
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) (*.f64 (neg.f64 y) y))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 y y))
(*.f64 (*.f64 #s(literal -1 binary64) y) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3 binary64))) y)
(*.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 (neg.f64 y) y)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 y y) (*.f64 (*.f64 y y) #s(literal -1 binary64)))
(*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 y (*.f64 y (*.f64 (neg.f64 y) y)))
(*.f64 y (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 y (neg.f64 (pow.f64 y #s(literal 3 binary64))))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (neg.f64 y))
(*.f64 (*.f64 (*.f64 y y) (fabs.f64 y)) (fabs.f64 y))
(*.f64 (*.f64 (neg.f64 y) (fabs.f64 y)) (*.f64 (neg.f64 y) (fabs.f64 y)))
(*.f64 (*.f64 (fabs.f64 y) (neg.f64 y)) (*.f64 (fabs.f64 y) (neg.f64 y)))
(*.f64 (*.f64 (fabs.f64 y) y) (*.f64 (fabs.f64 y) y))
(*.f64 (*.f64 y (fabs.f64 y)) (*.f64 y (fabs.f64 y)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) y)
(*.f64 (neg.f64 y) (*.f64 (neg.f64 y) (*.f64 y y)))
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 (neg.f64 y) y))
(*.f64 (fabs.f64 y) (*.f64 (fabs.f64 y) (*.f64 y y)))
(*.f64 (*.f64 y y) (*.f64 y y))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(fabs.f64 (pow.f64 y #s(literal 4 binary64)))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 y y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 4 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 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (neg.f64 y) (neg.f64 y))
(*.f64 (fabs.f64 y) (fabs.f64 y))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (fabs.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))))
y
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(*.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 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 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (pow x 4) (pow y 4)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow x 4) (pow y 4)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (neg (* (* y y) (* y y))) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (* y y) (* y y)) (pow.f64 y #s(literal 4 binary64)))
#s(approx (* y y) (*.f64 y y))
#s(approx y y)
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))

eval20.0ms (1.3%)

Memory
-8.0MiB live, 38.0MiB allocated; 4ms collecting garbage
Compiler

Compiled 3 146 to 555 computations (82.4% saved)

prune7.0ms (0.5%)

Memory
18.2MiB live, 18.2MiB allocated; 0ms collecting garbage
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1852187
Fresh000
Picked022
Done022
Total1856191
Accuracy
100.0%
Counts
191 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.7%
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
56.5%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y))
57.7%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
57.6%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
56.6%
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
56.5%
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))
Compiler

Compiled 87 to 60 computations (31% saved)

series9.0ms (0.7%)

Memory
20.6MiB live, 20.6MiB allocated; 0ms collecting garbage
Counts
12 → 16
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 x x)
x
(neg.f64 x)
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y)
(*.f64 (*.f64 (neg.f64 y) y) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
Outputs
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (* (* (* x x) (neg x)) (neg x)) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) (neg x)) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (* (* (* (neg y) y) y) y) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (* (neg y) y) y) #s(hole binary64 (* -1 (pow y 3))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@-inf
((- (pow x 4) (pow y 4)) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (* x x) x (neg x) (- (pow x 4) (pow y 4)) (* (* (* (neg y) y) y) y) (* (* (neg y) y) y) (* (neg y) y) (neg y) y)
2.0ms
y
@inf
((- (pow x 4) (pow y 4)) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (* x x) x (neg x) (- (pow x 4) (pow y 4)) (* (* (* (neg y) y) y) y) (* (* (neg y) y) y) (* (neg y) y) (neg y) y)
2.0ms
x
@-inf
((- (pow x 4) (pow y 4)) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (* x x) x (neg x) (- (pow x 4) (pow y 4)) (* (* (* (neg y) y) y) y) (* (* (neg y) y) y) (* (neg y) y) (neg y) y)
2.0ms
x
@inf
((- (pow x 4) (pow y 4)) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (* x x) x (neg x) (- (pow x 4) (pow y 4)) (* (* (* (neg y) y) y) y) (* (* (neg y) y) y) (* (neg y) y) (neg y) y)
1.0ms
y
@0
((- (pow x 4) (pow y 4)) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (* x x) x (neg x) (- (pow x 4) (pow y 4)) (* (* (* (neg y) y) y) y) (* (* (neg y) y) y) (* (neg y) y) (neg y) y)

rewrite57.0ms (3.9%)

Memory
-25.9MiB live, 67.6MiB allocated; 5ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062261
073233
1205212
01290212
Stop Event
iter-limit
iter-limit
node-limit
iter-limit
Counts
28 → 129
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 x x)
x
(neg.f64 x)
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y))
(*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y)
(*.f64 (*.f64 (neg.f64 y) y) y)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (- (pow x 4) (pow y 4))))
#s(approx (* (* (* x x) (neg x)) (neg x)) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) (neg x)) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (pow x 4)))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow x 4) (+ 1 (* -1 (/ (pow y 4) (pow x 4)))))))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (+ (* -1 (pow y 4)) (pow x 4))))
#s(approx (* (* (* (neg y) y) y) y) #s(hole binary64 (* -1 (pow y 4))))
#s(approx (* (* (neg y) y) y) #s(hole binary64 (* -1 (pow y 3))))
#s(approx (* (neg y) y) #s(hole binary64 (* -1 (pow y 2))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx y #s(hole binary64 y))
#s(approx (- (pow x 4) (pow y 4)) #s(hole binary64 (* (pow y 4) (- (/ (pow x 4) (pow y 4)) 1))))
Outputs
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 x))
(*.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x)
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (neg.f64 x) (*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(neg.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 4 binary64) #s(literal 0 binary64)))
(exp.f64 (+.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal 4 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 x (*.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 x (*.f64 (neg.f64 x) x))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
x
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (*.f64 y y) (*.f64 (neg.f64 y) y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) y)
(*.f64 (*.f64 (neg.f64 y) y) (*.f64 y y))
(*.f64 (neg.f64 y) (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))
(*.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
(neg.f64 (pow.f64 y #s(literal 4 binary64)))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (*.f64 y y) (neg.f64 y))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64))
(*.f64 (*.f64 (neg.f64 y) y) y)
(*.f64 (neg.f64 y) (*.f64 y y))
(*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))
(*.f64 y (*.f64 (neg.f64 y) y))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(neg.f64 (pow.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 y y) #s(literal -1 binary64))
(*.f64 (neg.f64 y) y)
(*.f64 #s(literal -1 binary64) (*.f64 y y))
(*.f64 y (neg.f64 y))
(neg.f64 (*.f64 y y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
y
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (- (pow x 4) (pow y 4)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (* (* x x) (neg x)) (neg x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (* x x) (neg x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (neg x) (neg.f64 x))
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (pow x 4) (pow y 4)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (* (* (neg y) y) y) y) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
#s(approx (* (* (neg y) y) y) (pow.f64 (neg.f64 y) #s(literal 3 binary64)))
#s(approx (* (neg y) y) (*.f64 (neg.f64 y) y))
#s(approx (neg y) (neg.f64 y))
#s(approx y y)
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))

eval13.0ms (0.9%)

Memory
31.3MiB live, 31.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 2 415 to 443 computations (81.7% saved)

prune14.0ms (1%)

Memory
-26.6MiB live, 26.0MiB allocated; 5ms collecting garbage
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1420142
Fresh000
Picked022
Done044
Total1426148
Accuracy
100.0%
Counts
148 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
57.7%
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
56.5%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y))
57.7%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
57.6%
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
56.6%
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
56.5%
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))
Compiler

Compiled 195 to 92 computations (52.8% saved)

regimes13.0ms (0.9%)

Memory
27.6MiB live, 27.6MiB allocated; 0ms collecting garbage
Counts
8 → 3
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (- (pow x 4) (pow y 4)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Outputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))
(*.f64 (fma.f64 x x (*.f64 y y)) (-.f64 (*.f64 x x) (*.f64 y y)))
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))
Calls

5 calls:

3.0ms
y
3.0ms
x
2.0ms
(pow.f64 x #s(literal 4 binary64))
2.0ms
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
2.0ms
(pow.f64 y #s(literal 4 binary64))
Results
AccuracySegmentsBranch
92.8%1(pow.f64 y #s(literal 4 binary64))
92.8%1(pow.f64 x #s(literal 4 binary64))
92.8%1(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
92.8%1x
97.8%3y
Compiler

Compiled 15 to 18 computations (-20% saved)

regimes9.0ms (0.6%)

Memory
-25.8MiB live, 21.3MiB allocated; 2ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
Outputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
Calls

5 calls:

3.0ms
y
2.0ms
x
2.0ms
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
1.0ms
(pow.f64 x #s(literal 4 binary64))
1.0ms
(pow.f64 y #s(literal 4 binary64))
Results
AccuracySegmentsBranch
83.5%2(pow.f64 y #s(literal 4 binary64))
80.8%2(pow.f64 x #s(literal 4 binary64))
91.2%2(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
82.1%3x
84.2%3y
Compiler

Compiled 15 to 18 computations (-20% saved)

regimes2.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y))
Outputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 (*.f64 (neg.f64 y) y) y) y))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
Calls

1 calls:

1.0ms
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Results
AccuracySegmentsBranch
91.2%2(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes1.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated; 0ms collecting garbage
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))
Outputs
#s(approx (- (pow x 4) (pow y 4)) (neg.f64 (*.f64 (*.f64 y y) (*.f64 y y))))
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
Calls

1 calls:

1.0ms
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Results
AccuracySegmentsBranch
91.2%2(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

regimes5.0ms (0.3%)

Memory
12.7MiB live, 12.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
Outputs
#s(approx (- (pow x 4) (pow y 4)) (*.f64 (*.f64 x x) (*.f64 x x)))
Calls

5 calls:

1.0ms
x
1.0ms
y
1.0ms
(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
1.0ms
(pow.f64 x #s(literal 4 binary64))
1.0ms
(pow.f64 y #s(literal 4 binary64))
Results
AccuracySegmentsBranch
57.6%1x
57.6%1(pow.f64 x #s(literal 4 binary64))
57.6%1y
57.6%1(pow.f64 y #s(literal 4 binary64))
57.6%1(-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))
Compiler

Compiled 15 to 18 computations (-20% saved)

bsearch22.0ms (1.5%)

Memory
-10.1MiB live, 36.6MiB allocated; 1ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
7.0ms
1.1999909921426985e+133
4.2756171893608857e+133
14.0ms
-1.487433924976559e+223
-9.381666882968752e+216
Samples
12.0ms224×0valid
Compiler

Compiled 430 to 277 computations (35.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-pow: 6.0ms (87.6% of total)
ival-sub!: 1.0ms (14.6% of total)
adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.7366282019682974e-304
0.0
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.7366282019682974e-304
0.0
Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.7366282019682974e-304
0.0
Compiler

Compiled 10 to 11 computations (-10% saved)

derivations25.0ms (1.7%)

Memory
-10.7MiB live, 35.8MiB allocated; 3ms collecting garbage
Stop Event
done
Compiler

Compiled 194 to 40 computations (79.4% saved)

preprocess27.0ms (1.8%)

Memory
10.0MiB live, 59.4MiB allocated; 4ms collecting garbage
Compiler

Compiled 402 to 92 computations (77.1% saved)

end0.0ms (0%)

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

Profiling

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