Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, D

Time bar (total: 3.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 11 to 11 computations (0% saved)

sample750.0ms (24.8%)

Memory
51.8MiB live, 1 186.6MiB allocated
Samples
479.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 268.0ms
ival-div: 121.0ms (45.1% of total)
ival-mult: 65.0ms (24.2% of total)
ival-sub: 62.0ms (23.1% of total)
exact: 10.0ms (3.7% of total)
ival-true: 7.0ms (2.6% of total)
ival-assert: 4.0ms (1.5% of total)
Bogosity

explain204.0ms (6.7%)

Memory
-35.9MiB live, 215.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-#s(literal 8 binary64)
00-0-(/.f64 (*.f64 x y) #s(literal 2 binary64))
00-0-z
00-0-(*.f64 x y)
00-0-(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
00-0-(/.f64 z #s(literal 8 binary64))
00-0-#s(literal 2 binary64)
00-0-y
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
41.0ms512×0valid
Compiler

Compiled 88 to 40 computations (54.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 18.0ms (71.8% of total)
ival-mult: 4.0ms (16% of total)
ival-sub: 2.0ms (8% of total)
ival-true: 1.0ms (4% of total)
exact: 1.0ms (4% of total)
ival-assert: 0.0ms (0% of total)

preprocess62.0ms (2%)

Memory
8.6MiB live, 47.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03387
17884
215681
337881
478681
5128881
6144781
7145381
8145381
099
0139
1209
2349
3559
41159
52189
64049
75679
86209
06208
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z))
Symmetry

(sort x y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Compiler

Compiled 9 to 9 computations (0% saved)

simplify17.0ms (0.6%)

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

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x y)
cost-diff128
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
cost-diff384
(/.f64 z #s(literal 8 binary64))
cost-diff384
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
01325
12025
23425
35525
411525
521825
640425
756725
862025
062024
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
z
#s(literal 8 binary64)
Outputs
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z))
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
x
y
#s(literal 2 binary64)
(/.f64 z #s(literal 8 binary64))
(*.f64 #s(literal 1/8 binary64) z)
z
#s(literal 8 binary64)

localize26.0ms (0.8%)

Memory
-12.9MiB live, 25.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 z #s(literal 8 binary64))
accuracy0
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
accuracy0
(*.f64 x y)
accuracy0.01171875
(/.f64 (*.f64 x y) #s(literal 2 binary64))
Samples
20.0ms256×0valid
Compiler

Compiled 52 to 20 computations (61.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (43.5% of total)
ival-mult: 2.0ms (29% of total)
ival-sub: 1.0ms (14.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
4 → 12
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 z #s(literal 8 binary64))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 x y)
Outputs
(* 1/2 (* x y))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
z
@0
((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))
1.0ms
x
@0
((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))
1.0ms
x
@-inf
((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))
1.0ms
z
@inf
((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))
1.0ms
y
@-inf
((/ (* x y) 2) (/ z 8) (- (/ (* x y) 2) (/ z 8)) (* x y))

simplify108.0ms (3.6%)

Memory
-7.6MiB live, 68.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04286
113186
244086
3123486
4347486
5623786
0855478
Stop Event
iter limit
node limit
Counts
12 → 12
Calls
Call 1
Inputs
(* 1/2 (* x y))
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* 1/8 z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
Outputs
(* 1/2 (* x y))
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* x y)
(*.f64 y x)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* 1/8 z)
(*.f64 #s(literal 1/8 binary64) z)
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))

rewrite182.0ms (6%)

Memory
17.8MiB live, 139.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
01320
15720
249920
0878919
Stop Event
iter limit
node limit
iter limit
Counts
4 → 225
Calls
Call 1
Inputs
(/.f64 (*.f64 x y) #s(literal 2 binary64))
(/.f64 z #s(literal 8 binary64))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
(*.f64 x y)
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 y #s(literal 1/2 binary64)) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 y (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 x (*.f64 y #s(literal 1/2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 z) #s(literal -1/8 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/8 binary64) z)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) z))
(*.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 1 binary64))
(*.f64 z #s(literal 1/8 binary64))
(pow.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64))
(/.f64 (neg.f64 z) #s(literal -8 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 1 binary64))
(/.f64 z #s(literal 8 binary64))
(neg.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/8 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 8 binary64) z)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) #s(literal -1/64 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 y #s(literal 8 binary64)) (*.f64 z #s(literal 2 binary64))) #s(literal -1/16 binary64))
(*.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal 2 binary64) (*.f64 y x))) (*.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64)))
(*.f64 (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -8 binary64))))
(*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 8 binary64))))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal 8 binary64) z)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 y #s(literal -8 binary64)) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))))
(*.f64 (fma.f64 (*.f64 y x) #s(literal -8 binary64) (*.f64 z #s(literal 2 binary64))) #s(literal -1/16 binary64))
(*.f64 (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 z z) #s(literal -1/64 binary64))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64))))
(*.f64 (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 8 binary64) y) x (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
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(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (neg.f64 z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 y x)) #s(literal 8 binary64)))
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (neg.f64 z))) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -8 binary64)))
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(fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) z))
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(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x (*.f64 #s(literal -1/8 binary64) z))
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(fma.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (neg.f64 z) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (*.f64 x #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) x (*.f64 #s(literal -1/8 binary64) z))
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(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 z z) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))))
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal -1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x)) #s(literal 1/16 binary64) (neg.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(fma.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x)) #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 16 binary64)))
(fma.f64 z #s(literal -1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (*.f64 (neg.f64 x) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 y (*.f64 x #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 (*.f64 y #s(literal 1/2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 x (*.f64 y #s(literal 1/2 binary64)) (*.f64 #s(literal -1/8 binary64) z))
(-.f64 (fma.f64 (*.f64 y #s(literal 1/2 binary64)) x #s(literal 0 binary64)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) z) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) z))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) z))))
(-.f64 (/.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (neg.f64 z)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -8 binary64))))
(-.f64 (/.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) z) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 8 binary64))))
(-.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal 8 binary64) z))) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(-.f64 (/.f64 (*.f64 (neg.f64 x) (*.f64 y #s(literal -8 binary64))) #s(literal 16 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 y x) (/.f64 #s(literal 8 binary64) z)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -8 binary64)) #s(literal -16 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) (/.f64 (*.f64 (*.f64 z z) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))))
(-.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(-.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) (neg.f64 (/.f64 (*.f64 (*.f64 z z) #s(literal -1/64 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) (/.f64 (*.f64 (*.f64 z z) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal -1/512 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (fma.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64))))))
(+.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x)) #s(literal 1/16 binary64)) (neg.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x)) #s(literal 1/16 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 16 binary64)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 (*.f64 #s(literal 1 binary64) y) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) y)
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y (*.f64 x #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x (*.f64 y #s(literal 1 binary64)))
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))

eval46.0ms (1.5%)

Memory
0.2MiB live, 38.1MiB allocated
Compiler

Compiled 4 311 to 618 computations (85.7% saved)

prune14.0ms (0.5%)

Memory
-26.8MiB live, 11.7MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2282230
Fresh000
Picked101
Done000
Total2292231
Accuracy
100.0%
Counts
231 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
51.2%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify23.0ms (0.7%)

Memory
17.2MiB live, 17.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/8 binary64) z)
cost-diff0
(*.f64 y x)
cost-diff0
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
cost-diff0
(*.f64 #s(literal -1/8 binary64) z)
cost-diff0
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01537
01937
13537
27237
314637
428736
558236
679936
784336
884636
084636
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(*.f64 y x)
y
x
#s(literal 1/2 binary64)
(*.f64 #s(literal -1/8 binary64) z)
#s(literal -1/8 binary64)
z

localize67.0ms (2.2%)

Memory
-3.5MiB live, 34.5MiB allocated
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
accuracy0
(*.f64 y x)
accuracy0
(*.f64 #s(literal -1/8 binary64) z)
accuracy0
(*.f64 #s(literal -1/8 binary64) z)
accuracy31.21748074299353
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
Samples
59.0ms256×0valid
Compiler

Compiled 73 to 32 computations (56.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-add: 36.0ms (72.2% of total)
ival-mult: 9.0ms (18.1% of total)
ival-div: 3.0ms (6% of total)
ival-sub: 1.0ms (2% of total)
exact: 1.0ms (2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
4 → 11
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 y x)
Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* x y)
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* y x) 1/2) (* -1/8 z)) (* y x))
1.0ms
y
@-inf
((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* y x) 1/2) (* -1/8 z)) (* y x))
0.0ms
x
@0
((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* y x) 1/2) (* -1/8 z)) (* y x))
0.0ms
z
@-inf
((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* y x) 1/2) (* -1/8 z)) (* y x))
0.0ms
z
@inf
((- (/ (* x y) 2) (/ z 8)) (* -1/8 z) (+ (* (* y x) 1/2) (* -1/8 z)) (* y x))

simplify118.0ms (3.9%)

Memory
-5.5MiB live, 73.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04283
113183
244083
3123583
4346783
5623583
0855175
Stop Event
iter limit
node limit
Counts
11 → 11
Calls
Call 1
Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* x y)
(* 1/2 (* x y))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* x y)
(*.f64 y x)
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))

rewrite125.0ms (4.1%)

Memory
28.1MiB live, 102.3MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01527
01927
18926
272326
0903126
Stop Event
iter limit
node limit
iter limit
Counts
4 → 263
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 y x)
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 (neg.f64 z) #s(literal 1/8 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/8 binary64) z))
(*.f64 #s(literal 1/8 binary64) (neg.f64 z))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 #s(literal -1/8 binary64) z)
(*.f64 z #s(literal -1/8 binary64))
(pow.f64 (/.f64 #s(literal -8 binary64) z) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/8 binary64) z)))
(/.f64 (neg.f64 z) #s(literal 8 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) z))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 8 binary64) z) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -8 binary64) z) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8 binary64) z))
(/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/8 binary64) z)))))
(/.f64 z #s(literal -8 binary64))
(neg.f64 (*.f64 #s(literal 1/8 binary64) z))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/8 binary64) z))
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (fma.f64 #s(literal -1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z)) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (fma.f64 (*.f64 #s(literal 8 binary64) y) x (*.f64 #s(literal -2 binary64) z))) (/.f64 (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal 1/16 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 z z))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (*.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z)) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64))))))
(*.f64 (-.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal 2 binary64) (*.f64 y x))) (*.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64)))
(*.f64 (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -8 binary64))))
(*.f64 (-.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 8 binary64))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) y) #s(literal -8 binary64) (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) y) #s(literal 8 binary64) (*.f64 z #s(literal 2 binary64))) #s(literal -1/16 binary64))
(*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))))
(*.f64 (fma.f64 (*.f64 y x) #s(literal -8 binary64) (*.f64 z #s(literal 2 binary64))) #s(literal -1/16 binary64))
(*.f64 (+.f64 (/.f64 #s(literal 8 binary64) z) (/.f64 #s(literal 2 binary64) (*.f64 y x))) (*.f64 (*.f64 (*.f64 y x) z) #s(literal 1/16 binary64)))
(*.f64 (-.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 y x)) (neg.f64 z))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -8 binary64))))
(*.f64 (+.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) z)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 8 binary64))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal 8 binary64) z) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) y) #s(literal -8 binary64) (*.f64 z #s(literal 2 binary64))) #s(literal 1/16 binary64))
(*.f64 (fma.f64 (*.f64 (neg.f64 x) y) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) z)) #s(literal -1/16 binary64))
(*.f64 (fma.f64 (*.f64 y x) (/.f64 #s(literal 8 binary64) z) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))))
(*.f64 (fma.f64 (*.f64 y x) #s(literal -8 binary64) (*.f64 #s(literal -2 binary64) z)) #s(literal -1/16 binary64))
(*.f64 (fma.f64 #s(literal 8 binary64) (*.f64 y x) (*.f64 z #s(literal 2 binary64))) #s(literal 1/16 binary64))
(*.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (*.f64 z z))) (pow.f64 (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(*.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z))))))
(*.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z)) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 8 binary64) y) x (*.f64 #s(literal -2 binary64) z)) #s(literal 1/16 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))) (*.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z))) (/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z))))) (+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x)) #s(literal 1/16 binary64))) (*.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
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(-.f64 (/.f64 (*.f64 (*.f64 y x) (/.f64 #s(literal 8 binary64) z)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))))
(-.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -8 binary64)) #s(literal -16 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z)) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z)) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z))))
(-.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal -1/2 binary64) (*.f64 y x))))
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 #s(literal 1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal -1/8 binary64) z))
(-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal 1/8 binary64) z))
(-.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(-.f64 (*.f64 #s(literal 1/8 binary64) z) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(+.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 0 binary64)) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z))))) (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/64 binary64) z) z (*.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z))))))
(+.f64 (/.f64 (/.f64 #s(literal 8 binary64) z) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) z))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (/.f64 #s(literal 8 binary64) z))))
(+.f64 (/.f64 #s(literal -8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) (neg.f64 z)) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -8 binary64))))
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 8 binary64))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) z) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal 8 binary64))))
(+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal 8 binary64) z)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))) (/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 8 binary64) z))))
(+.f64 (/.f64 (*.f64 (*.f64 (neg.f64 x) y) #s(literal -8 binary64)) #s(literal 16 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 (*.f64 (*.f64 y x) (/.f64 #s(literal 8 binary64) z)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))) (/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 8 binary64) z))))
(+.f64 (/.f64 (*.f64 (*.f64 y x) #s(literal -8 binary64)) #s(literal -16 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z)) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z)) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z)) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z)) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64))))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z)) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 3 binary64)) (fma.f64 (*.f64 y x) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 y x)) (*.f64 #s(literal -1/16 binary64) z)) (pow.f64 (*.f64 #s(literal -1/8 binary64) z) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) (neg.f64 (/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 z z)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) (*.f64 #s(literal -1/8 binary64) z)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 2 binary64)) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))) (/.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 z z)) (fma.f64 #s(literal 1/8 binary64) z (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(+.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x)) #s(literal 1/16 binary64)) (neg.f64 (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x)) #s(literal 1/16 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) z) #s(literal 16 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 8 binary64) (*.f64 y x)) #s(literal 1/16 binary64)) (*.f64 (*.f64 z #s(literal 2 binary64)) #s(literal 1/16 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal -1/8 binary64) z))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) (*.f64 #s(literal 1/8 binary64) z))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 (neg.f64 (neg.f64 y)) (*.f64 #s(literal 1/2 binary64) x)))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 (neg.f64 (neg.f64 x)) (*.f64 y #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(+.f64 (*.f64 #s(literal 1/8 binary64) z) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 #s(literal 1 binary64) y) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) y)
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))

eval70.0ms (2.3%)

Memory
-20.0MiB live, 60.8MiB allocated
Compiler

Compiled 5 412 to 608 computations (88.8% saved)

prune5.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2841285
Fresh000
Picked022
Done000
Total2843287
Accuracy
100.0%
Counts
287 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
51.4%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
51.2%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
Compiler

Compiled 36 to 33 computations (8.3% saved)

simplify20.0ms (0.7%)

Memory
-29.2MiB live, 9.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 y x)
cost-diff0
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
cost-diff0
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01326
01526
12526
24626
36926
413026
523326
645026
769626
871626
071625
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
#s(literal 1/2 binary64)
(*.f64 y x)
y
x
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 (*.f64 #s(literal 1/2 binary64) x) y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
#s(literal 1/2 binary64)
(*.f64 y x)
y
x

localize24.0ms (0.8%)

Memory
26.0MiB live, 26.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 y x)
accuracy0.01171875
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
accuracy31.104379655452156
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
Samples
17.0ms256×0valid
Compiler

Compiled 48 to 27 computations (43.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (49.9% of total)
ival-div: 3.0ms (29.9% of total)
ival-sub: 1.0ms (10% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
3 → 11
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 y x)
Outputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
Calls

9 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms
y
@-inf
((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms
x
@inf
((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms
x
@0
((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))
0.0ms
y
@inf
((- (/ (* x y) 2) (/ z 8)) (* 1/2 (* y x)) (* y x))

simplify115.0ms (3.8%)

Memory
-5.8MiB live, 71.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04283
113183
244083
3123483
4348283
5624583
0856175
Stop Event
iter limit
node limit
Counts
11 → 11
Calls
Call 1
Inputs
(* -1/8 z)
(- (* 1/2 (* x y)) (* 1/8 z))
(* 1/2 (* x y))
(* x y)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(+ (* -1/8 z) (* 1/2 (* x y)))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
Outputs
(* -1/8 z)
(*.f64 #s(literal -1/8 binary64) z)
(- (* 1/2 (* x y)) (* 1/8 z))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* 1/2 (* x y))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* x (+ (* -1/8 (/ z x)) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* x (+ (* -1/2 y) (* 1/8 (/ z x)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* y (+ (* -1/8 (/ z y)) (* 1/2 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* y (+ (* -1/2 x) (* 1/8 (/ z y)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(+ (* -1/8 z) (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* z (- (* 1/2 (/ (* x y) z)) 1/8))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))
(* -1 (* z (+ 1/8 (* -1/2 (/ (* x y) z)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y (*.f64 #s(literal -1/8 binary64) z))

rewrite151.0ms (5%)

Memory
2.0MiB live, 192.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01323
01523
16223
252723
0907222
Stop Event
iter limit
node limit
iter limit
Counts
3 → 54
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 y x)
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) y)
(*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 x #s(literal 1/2 binary64)) y)
(*.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 y #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) y)
(*.f64 (neg.f64 x) (*.f64 y #s(literal -1/2 binary64)))
(*.f64 (neg.f64 y) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) (*.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(*.f64 (*.f64 (neg.f64 x) y) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 y x))
(*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 y x) #s(literal 1/2 binary64))
(*.f64 y (*.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 y (*.f64 (neg.f64 x) #s(literal -1/2 binary64)))
(*.f64 y (*.f64 x #s(literal 1/2 binary64)))
(*.f64 y (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x (*.f64 (*.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 y x)))
(/.f64 (*.f64 (neg.f64 x) y) #s(literal -2 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 y x)) #s(literal 1 binary64))
(/.f64 (*.f64 y x) #s(literal 2 binary64))
(/.f64 y (/.f64 #s(literal 2 binary64) x))
(/.f64 x (/.f64 #s(literal 2 binary64) y))
(neg.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 y x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) y) x)
(*.f64 (*.f64 #s(literal 1 binary64) x) y)
(*.f64 (neg.f64 (neg.f64 x)) y)
(*.f64 (neg.f64 (neg.f64 y)) x)
(*.f64 (neg.f64 x) (neg.f64 y))
(*.f64 (neg.f64 y) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y (*.f64 x #s(literal 1 binary64)))
(*.f64 y (neg.f64 (neg.f64 x)))
(*.f64 y x)
(*.f64 x (*.f64 y #s(literal 1 binary64)))
(*.f64 x (neg.f64 (neg.f64 y)))
(*.f64 x y)
(neg.f64 (*.f64 (neg.f64 x) y))
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y))

eval6.0ms (0.2%)

Memory
15.4MiB live, 15.4MiB allocated
Compiler

Compiled 970 to 179 computations (81.5% saved)

prune6.0ms (0.2%)

Memory
-26.4MiB live, 12.5MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New58058
Fresh000
Picked011
Done022
Total58361
Accuracy
100.0%
Counts
61 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
51.4%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
51.2%
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
Compiler

Compiled 81 to 56 computations (30.9% saved)

regimes18.0ms (0.6%)

Memory
3.8MiB live, 42.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Outputs
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
Calls

7 calls:

4.0ms
y
2.0ms
z
2.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
x
2.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
100.0%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
100.0%1(*.f64 x y)
100.0%1(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes12.0ms (0.4%)

Memory
31.7MiB live, 31.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))
Calls

7 calls:

2.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
2.0ms
z
2.0ms
(/.f64 z #s(literal 8 binary64))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
71.9%3x
73.6%3y
73.2%3z
67.4%5(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
80.2%3(/.f64 (*.f64 x y) #s(literal 2 binary64))
80.2%3(*.f64 x y)
73.2%3(/.f64 z #s(literal 8 binary64))
Compiler

Compiled 23 to 33 computations (-43.5% saved)

regimes14.0ms (0.5%)

Memory
-16.4MiB live, 27.9MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
Outputs
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
Calls

7 calls:

6.0ms
(*.f64 x y)
1.0ms
(/.f64 z #s(literal 8 binary64))
1.0ms
(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
1.0ms
(/.f64 (*.f64 x y) #s(literal 2 binary64))
1.0ms
x
Results
AccuracySegmentsBranch
51.2%1(-.f64 (/.f64 (*.f64 x y) #s(literal 2 binary64)) (/.f64 z #s(literal 8 binary64)))
51.2%1x
51.2%1z
51.2%1(/.f64 z #s(literal 8 binary64))
51.2%1y
51.2%1(/.f64 (*.f64 x y) #s(literal 2 binary64))
51.2%1(*.f64 x y)
Compiler

Compiled 23 to 33 computations (-43.5% saved)

bsearch1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
4.360669752994846e-115
1.790424664982615e-105
0.0ms
-1.9649528131663795e-41
-1.0902777037266194e-41
Compiler

Compiled 12 to 15 computations (-25% saved)

simplify33.0ms (1.1%)

Memory
-0.1MiB live, 76.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02476
12876
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
(if (<=.f64 (*.f64 x y) #s(literal -5884782876925013/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (*.f64 x y) #s(literal 2772669694120815/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
Outputs
(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) (*.f64 #s(literal -1/8 binary64) z))
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) (*.f64 z #s(literal -1/8 binary64)))
(if (<=.f64 (*.f64 x y) #s(literal -5884782876925013/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x))) (if (<=.f64 (*.f64 x y) #s(literal 2772669694120815/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
(if (<=.f64 (*.f64 x y) #s(literal -5884782876925013/392318858461667547739736838950479151006397215279002157056 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y))) (if (<=.f64 (*.f64 x y) #s(literal 2772669694120815/5545339388241629719156828368286167406872874150751633150340959161229242615611251246079948812208279156194782421922807143657948315648 binary64)) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64))) #s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal 1/2 binary64) (*.f64 x y)))))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 #s(literal -1/8 binary64) z))
#s(approx (- (/ (* x y) 2) (/ z 8)) (*.f64 z #s(literal -1/8 binary64)))

soundness722.0ms (23.9%)

Memory
9.0MiB live, 289.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
01320
15720
249920
0878919
04286
113186
244086
3123486
4347486
5623786
0855478
04283
113183
244083
3123583
4346783
5623583
0855175
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 107 to 58 computations (45.8% saved)

preprocess69.0ms (2.3%)

Memory
8.1MiB live, 85.1MiB allocated
Remove

(sort x y)

Compiler

Compiled 218 to 112 computations (48.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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