SynthBasics:oscSampleBasedAux from YampaSynth-0.2

Time bar (total: 4.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample574.0ms (14.1%)

Memory
36.9MiB live, 691.5MiB allocated
Samples
366.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 188.0ms
ival-mult: 84.0ms (44.7% of total)
ival-sub: 58.0ms (30.8% of total)
ival-add: 37.0ms (19.7% of total)
ival-true: 5.0ms (2.7% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain86.0ms (2.1%)

Memory
-10.5MiB live, 75.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x (*.f64 y (-.f64 z x)))
00-0-y
00-0-(*.f64 y (-.f64 z x))
00-0-(-.f64 z x)
00-0-z
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
48.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sub: 28.0ms (80.9% of total)
ival-mult: 3.0ms (8.7% of total)
ival-add: 2.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess1.0s (24.9%)

Memory
-6.6MiB live, 32.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
16863
220863
368163
4130863
5206763
6234563
7237763
8237763
067
097
1137
2247
3487
4847
51307
62207
73707
85857
96707
106927
06926
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 (-.f64 z x) y x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (*.f64 y (-.f64 z x)))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify35.0ms (0.9%)

Memory
-17.3MiB live, 21.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 z x)
cost-diff0
(*.f64 y (-.f64 z x))
cost-diff128
(+.f64 x (*.f64 y (-.f64 z x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11318
22418
34818
48418
513018
622018
737018
858518
967018
1069218
069217
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
x
(*.f64 y (-.f64 z x))
y
(-.f64 z x)
z
Outputs
(+.f64 x (*.f64 y (-.f64 z x)))
(fma.f64 (-.f64 z x) y x)
x
(*.f64 y (-.f64 z x))
(*.f64 (-.f64 z x) y)
y
(-.f64 z x)
z

localize15.0ms (0.4%)

Memory
29.7MiB live, 29.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 z x)
accuracy0.0
(+.f64 x (*.f64 y (-.f64 z x)))
accuracy0.0
(*.f64 y (-.f64 z x))
Samples
11.0ms256×0valid
Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (44.8% of total)
ival-sub: 1.0ms (22.4% of total)
ival-add: 1.0ms (22.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series48.0ms (1.2%)

Memory
-35.1MiB live, 7.0MiB allocated
Counts
3 → 29
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(*.f64 y (-.f64 z x))
(-.f64 z x)
Outputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 x)
(* x (- (/ z x) 1))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(+ x (* y (- z x)))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(+ x (* -1 (* x y)))
(+ x (+ (* -1 (* x y)) (* y z)))
(- z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ 1 (* -1 (/ x z))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- (/ x z) 1)))
Calls

9 calls:

TimeVariablePointExpression
39.0ms
x
@inf
((+ x (* y (- z x))) (* y (- z x)) (- z x))
5.0ms
x
@-inf
((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms
z
@-inf
((+ x (* y (- z x))) (* y (- z x)) (- z x))
1.0ms
y
@inf
((+ x (* y (- z x))) (* y (- z x)) (- z x))
0.0ms
y
@-inf
((+ x (* y (- z x))) (* y (- z x)) (- z x))

simplify121.0ms (3%)

Memory
34.9MiB live, 106.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073185
1242137
2727137
32041137
44197137
55998137
67385137
08198128
Stop Event
iter limit
node limit
Counts
29 → 27
Calls
Call 1
Inputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* -1 x)
(* x (- (/ z x) 1))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(+ x (* y (- z x)))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(+ x (* -1 (* x y)))
(+ x (+ (* -1 (* x y)) (* y z)))
(- z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ 1 (* -1 (/ x z))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- (/ x z) 1)))
Outputs
(* y z)
(*.f64 z y)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 (-.f64 z x) y x)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
z
(+ z (* -1 x))
(-.f64 z x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ (* y z) x)))
(*.f64 (-.f64 z x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(fma.f64 (-.f64 z x) y x)
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(*.f64 (-.f64 z x) y)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
x
(+ x (* y (- z x)))
(fma.f64 (-.f64 z x) y x)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- (+ z (/ x y)) x))
(fma.f64 (-.f64 z x) y x)
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 z x) y x)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(- z x)
(-.f64 z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 (-.f64 z x) y x)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)

rewrite186.0ms (4.6%)

Memory
7.6MiB live, 207.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13615
228615
3381715
01086914
Stop Event
iter limit
node limit
iter limit
Counts
3 → 258
Calls
Call 1
Inputs
(+.f64 x (*.f64 y (-.f64 z x)))
(*.f64 y (-.f64 z x))
(-.f64 z x)
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (-.f64 z x) y) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) (-.f64 (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)))) (fma.f64 (*.f64 (-.f64 z x) y) (fma.f64 (-.f64 z x) y x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (fma.f64 (-.f64 z x) y x))
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z x) y x))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (/.f64 (fma.f64 (-.f64 z x) y x) (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x))))
(*.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) (*.f64 (fma.f64 (-.f64 z x) y x) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 (-.f64 z x) y) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 z x) y x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (-.f64 x (*.f64 (-.f64 z x) y))))
(*.f64 (fma.f64 (-.f64 z x) y x) (*.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (-.f64 x (*.f64 (-.f64 z x) y)) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (-.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (-.f64 z x) y (neg.f64 x))) (*.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) (*.f64 x x))) (pow.f64 (fma.f64 (-.f64 z x) y (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y)))) (*.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))) (neg.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))))) (*.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))) (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y)))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 x (*.f64 (-.f64 z x) y))) (*.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y))) (-.f64 x (*.f64 (-.f64 z x) y))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y)))) (*.f64 (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (*.f64 x x)) (neg.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64))))) (*.f64 (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (*.f64 x x)) (neg.f64 (-.f64 x (*.f64 (-.f64 z x) y)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (*.f64 x x)) (/.f64 (-.f64 x (*.f64 (-.f64 z x) y)) (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) (neg.f64 (neg.f64 (+.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) (+.f64 z x)))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (+.f64 z x)))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) #s(literal 1 binary64)) (+.f64 z x))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 x x))) (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 z x) (fma.f64 z z (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 z x) (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (+.f64 z x))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))
(neg.f64 (neg.f64 (-.f64 z x)))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z x) x) (-.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) x (*.f64 z z))) (-.f64 z x) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 #s(literal -1 binary64) x z)
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (*.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 z (/.f64 z (+.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 x #s(literal -1 binary64) z)
(-.f64 (+.f64 z #s(literal 0 binary64)) x)
(-.f64 #s(literal 0 binary64) (-.f64 x z))
(-.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x))))
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(-.f64 z x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 z (/.f64 z (+.f64 z x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(+.f64 (neg.f64 x) z)
(+.f64 z (neg.f64 x))

eval55.0ms (1.3%)

Memory
-33.8MiB live, 52.7MiB allocated
Compiler

Compiled 6 918 to 970 computations (86% saved)

prune4.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New2623265
Fresh000
Picked101
Done000
Total2633266
Accuracy
100.0%
Counts
266 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 z x) y x)
56.5%
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
45.9%
#s(approx (+ x (* y (- z x))) (*.f64 z y))
Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify21.0ms (0.5%)

Memory
12.7MiB live, 12.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01452
02050
13050
24750
37750
414150
520350
633150
751750
868350
970450
1070450
070450
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (* y (- z x))) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(fma.f64 (-.f64 z x) y x)
(-.f64 z x)
z
x
y
Outputs
#s(approx (+ x (* y (- z x))) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
(fma.f64 (-.f64 z x) y x)
(-.f64 z x)
z
x
y

localize33.0ms (0.8%)

Memory
4.2MiB live, 42.9MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (-.f64 z x) y x)
accuracy0.0
(-.f64 z x)
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.01171875
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy27.810531301708952
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy0.0
(*.f64 z y)
accuracy34.64086666820407
#s(approx (+ x (* y (- z x))) (*.f64 z y))
Samples
26.0ms256×0valid
Compiler

Compiled 97 to 28 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 6.0ms (40.3% of total)
ival-mult: 6.0ms (40.3% of total)
ival-add: 2.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.3%)

Memory
-26.4MiB live, 9.7MiB allocated
Counts
7 → 32
Calls
Call 1
Inputs
#s(approx (+ x (* y (- z x))) (*.f64 z y))
(*.f64 z y)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
(fma.f64 (-.f64 z x) y x)
(-.f64 z x)
Outputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
z
(+ z (* -1 x))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 x)
(* x (- (/ z x) 1))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(+ x (* y (- z x)))
(+ x (* -1 (* x y)))
1
(+ 1 (* -1 y))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(+ x (+ (* -1 (* x y)) (* y z)))
(- z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (- (/ x z) 1)))
Calls

9 calls:

TimeVariablePointExpression
5.0ms
x
@0
((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x))
1.0ms
y
@-inf
((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x))
1.0ms
z
@-inf
((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x))
1.0ms
y
@inf
((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x))
1.0ms
x
@-inf
((+ x (* y (- z x))) (* z y) (+ x (* y (- z x))) (* (- 1 y) x) (- 1 y) (+ (* (- z x) y) x) (- z x))

simplify109.0ms (2.7%)

Memory
7.9MiB live, 124.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078139
1246139
2696139
31900139
44531139
56855139
08191130
Stop Event
iter limit
node limit
Counts
32 → 30
Calls
Call 1
Inputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
z
(+ z (* -1 x))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 x)
(* x (- (/ z x) 1))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(+ x (* y (- z x)))
(+ x (* -1 (* x y)))
1
(+ 1 (* -1 y))
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* -1 (* x y))
(* y (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(+ x (+ (* -1 (* x y)) (* y z)))
(- z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ 1 (* -1 (/ x z))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (- (/ x z) 1)))
Outputs
(* y z)
(*.f64 z y)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 (-.f64 z x) y x)
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
z
(+ z (* -1 x))
(-.f64 z x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(fma.f64 (-.f64 z x) y x)
(* -1 x)
(neg.f64 x)
(* x (- (/ z x) 1))
(-.f64 z x)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(fma.f64 (-.f64 z x) y x)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
x
(+ x (* y (- z x)))
(fma.f64 (-.f64 z x) y x)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- (+ z (/ x y)) x))
(fma.f64 (-.f64 z x) y x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(- z x)
(-.f64 z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 (-.f64 z x) y x)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)

rewrite159.0ms (3.9%)

Memory
-3.1MiB live, 154.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01444
02042
18042
251342
3621742
0847842
Stop Event
iter limit
node limit
iter limit
Counts
7 → 298
Calls
Call 1
Inputs
#s(approx (+ x (* y (- z x))) (*.f64 z y))
(*.f64 z y)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
(fma.f64 (-.f64 z x) y x)
(-.f64 z x)
Outputs
#s(approx (+ x (* y (- z x))) (*.f64 z y))
(*.f64 (*.f64 z #s(literal 1 binary64)) y)
(*.f64 #s(literal 1 binary64) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 z y)
(*.f64 y (*.f64 #s(literal 1 binary64) z))
(*.f64 y z)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (fma.f64 y y y) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (+.f64 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) (pow.f64 (+.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal -1 binary64)))
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(*.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
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(fma.f64 (*.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) y) (/.f64 y (fma.f64 (neg.f64 y) (-.f64 z x) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x)))))
(fma.f64 (*.f64 (*.f64 y y) (-.f64 z x)) (/.f64 (-.f64 z x) (fma.f64 (neg.f64 y) (-.f64 z x) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x)))))
(fma.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) (/.f64 (*.f64 y y) (fma.f64 (neg.f64 y) (-.f64 z x) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x)))))
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)) x)
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (*.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64)) y) x)
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (-.f64 z x) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x)))))
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))) x)
(fma.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) y) x)
(fma.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (pow.f64 (fma.f64 (neg.f64 y) (-.f64 z x) x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x)))))
(fma.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 y) (-.f64 z x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (-.f64 z x) x))))
(fma.f64 (-.f64 z x) (/.f64 (*.f64 (*.f64 y y) (-.f64 z x)) (fma.f64 (neg.f64 y) (-.f64 z x) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x)))))
(fma.f64 (-.f64 z x) y x)
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 (-.f64 z x) y))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 (*.f64 (-.f64 z x) y) (/.f64 (*.f64 (-.f64 z x) y) (fma.f64 (neg.f64 y) (-.f64 z x) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x)))))
(fma.f64 (*.f64 (-.f64 z x) y) #s(literal 1 binary64) x)
(fma.f64 z y (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 y (/.f64 (*.f64 (pow.f64 (-.f64 z x) #s(literal 2 binary64)) y) (fma.f64 (neg.f64 y) (-.f64 z x) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x)))))
(fma.f64 y (*.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 y (-.f64 z x) x)
(fma.f64 y z (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(fma.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (-.f64 z x) x))))
(fma.f64 x #s(literal 1 binary64) (*.f64 (-.f64 z x) y))
(-.f64 (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x))) (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (-.f64 z x) x)))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (-.f64 z x) x)) (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (-.f64 z x) y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (+.f64 x (*.f64 z y)) (*.f64 (neg.f64 y) x))
(+.f64 (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x))) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (-.f64 z x) x))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 z x) y) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) (-.f64 z x) x)) (neg.f64 (*.f64 x (/.f64 x (fma.f64 (neg.f64 y) (-.f64 z x) x)))))
(+.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(+.f64 (*.f64 (-.f64 z x) y) x)
(+.f64 x (*.f64 (-.f64 z x) y))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z x) x) (-.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (fma.f64 (neg.f64 x) x (*.f64 z z))) (-.f64 z x))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(*.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (*.f64 z z)))
(*.f64 (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (pow.f64 (neg.f64 (+.f64 z x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal -1 binary64)))
(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) (+.f64 z x)))
(*.f64 (+.f64 z x) (*.f64 (-.f64 z x) (pow.f64 (+.f64 z x) #s(literal -1 binary64))))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (/.f64 (-.f64 z x) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (*.f64 (-.f64 z x) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 z x))
(pow.f64 (/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) (fma.f64 z z (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 z x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64))) (+.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 z x) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 z x))) #s(literal 2 binary64))) (fma.f64 z (/.f64 z (+.f64 z x)) (*.f64 x (/.f64 x (+.f64 z x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 z z)) (-.f64 (neg.f64 x) z))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 z x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 z x))) #s(literal 2 binary64)) (*.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) (neg.f64 (neg.f64 (+.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 x x)) (+.f64 z x)))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64))) (+.f64 z x)))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) #s(literal 1 binary64)) (+.f64 z x))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z x)) (*.f64 (+.f64 z x) (*.f64 x x))) (pow.f64 (+.f64 z x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 z x) (fma.f64 z z (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (+.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 z x) (fma.f64 (*.f64 x x) (fma.f64 z z (*.f64 x x)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (+.f64 z x))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 (neg.f64 x) z))))
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 z x) x (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z x) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (-.f64 z x)))
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (neg.f64 x) x (*.f64 z z))) (-.f64 z x) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z x) x) (-.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 #s(literal -1 binary64) x z)
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 (*.f64 z z) (pow.f64 (+.f64 z x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 z (/.f64 z (+.f64 z x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(fma.f64 x #s(literal -1 binary64) z)
(-.f64 (+.f64 z #s(literal 0 binary64)) x)
(-.f64 (*.f64 z (/.f64 z (+.f64 z x))) (*.f64 x (/.f64 x (+.f64 z x))))
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))))
(-.f64 #s(literal 0 binary64) (-.f64 x z))
(-.f64 z x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 z x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 z (/.f64 z (+.f64 z x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 z x)))))
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 z x) x (*.f64 z z)))))
(+.f64 (neg.f64 x) z)
(+.f64 z (neg.f64 x))

eval35.0ms (0.9%)

Memory
19.1MiB live, 56.4MiB allocated
Compiler

Compiled 7 667 to 1 008 computations (86.9% saved)

prune30.0ms (0.7%)

Memory
-36.7MiB live, 26.1MiB allocated
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3034307
Fresh000
Picked123
Done000
Total3046310
Accuracy
100.0%
Counts
310 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 z x) y x)
56.5%
(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
67.4%
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
24.3%
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
34.5%
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
45.9%
#s(approx (+ x (* y (- z x))) (*.f64 z y))
Compiler

Compiled 70 to 53 computations (24.3% saved)

simplify44.0ms (1.1%)

Memory
4.2MiB live, 42.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
021106
029106
144106
259106
397106
4147106
5203106
6356106
7561106
8696106
9816106
10930106
11993106
121001106
131005106
141011106
151015106
01015103
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
x
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
(*.f64 (-.f64 z x) y)
(-.f64 z x)
z
x
y
(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x
y
Outputs
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
x
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
(*.f64 (-.f64 z x) y)
(-.f64 z x)
z
x
y
(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
x
y

localize35.0ms (0.9%)

Memory
10.9MiB live, 49.6MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
accuracy0.0
(neg.f64 x)
accuracy34.51655669806904
#s(approx (- z x) (neg.f64 x))
accuracy0.0
(-.f64 z x)
accuracy0.0
(*.f64 (-.f64 z x) y)
accuracy20.850499744685205
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
accuracy0.0
(neg.f64 y)
accuracy0.01171875
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
accuracy27.810531301708952
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
accuracy31.18636005117799
#s(approx (- 1 y) (neg.f64 y))
accuracy0.01171875
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
accuracy27.810531301708952
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
accuracy31.95685173946765
#s(approx (- 1 y) #s(literal 1 binary64))
Samples
24.0ms256×0valid
Compiler

Compiled 176 to 37 computations (79% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 5.0ms (38.5% of total)
ival-sub: 3.0ms (23.1% of total)
ival-add: 3.0ms (23.1% of total)
ival-neg: 2.0ms (15.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
13 → 37
Calls
Call 1
Inputs
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
(*.f64 (-.f64 z x) y)
(-.f64 z x)
(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
Outputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(* -1 x)
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (- (/ z x) 1))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(+ x (* y (- z x)))
(+ x (* -1 (* x y)))
1
(+ 1 (* -1 y))
(* -1 y)
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* y (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(+ x (+ (* -1 (* x y)) (* y z)))
(- z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ 1 (* -1 (/ x z))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- (/ x z) 1)))
Calls

9 calls:

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

simplify115.0ms (2.8%)

Memory
-4.4MiB live, 72.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086164
1282164
2819164
32132164
44693164
57037164
08141155
Stop Event
iter limit
node limit
Counts
37 → 35
Calls
Call 1
Inputs
(* y z)
(+ (* x (+ 1 (* -1 y))) (* y z))
(* x (- 1 y))
(+ (* -1 (* x y)) (* y z))
z
(+ z (* -1 x))
(* -1 x)
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(* -1 (* x y))
(* x (+ (* -1 y) (/ (* y z) x)))
(* x (- (/ z x) 1))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ z x)))))
x
(+ x (* y (- z x)))
(+ x (* -1 (* x y)))
1
(+ 1 (* -1 y))
(* -1 y)
(* y (- z x))
(* y (- (+ z (/ x y)) x))
(* y (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(+ x (+ (* -1 (* x y)) (* y z)))
(- z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(* z (+ y (* -1 (/ (* x y) z))))
(* z (+ 1 (* -1 (/ x z))))
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(* -1 (* z (- (/ x z) 1)))
Outputs
(* y z)
(*.f64 z y)
(+ (* x (+ 1 (* -1 y))) (* y z))
(fma.f64 (-.f64 z x) y x)
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ (* -1 (* x y)) (* y z))
(*.f64 (-.f64 z x) y)
z
(+ z (* -1 x))
(-.f64 z x)
(* -1 x)
(neg.f64 x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (+ (* -1 y) (/ (* y z) x))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ (* y z) x)))
(*.f64 (-.f64 z x) y)
(* x (- (/ z x) 1))
(-.f64 z x)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (+ y (* -1 (/ (* y z) x))) 1)))
(fma.f64 (-.f64 z x) y x)
(* -1 (* x (+ y (* -1 (/ (* y z) x)))))
(*.f64 (-.f64 z x) y)
(* -1 (* x (+ 1 (* -1 (/ z x)))))
(-.f64 z x)
x
(+ x (* y (- z x)))
(fma.f64 (-.f64 z x) y x)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- z x))
(*.f64 (-.f64 z x) y)
(* y (- (+ z (/ x y)) x))
(fma.f64 (-.f64 z x) y x)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (+ (* -1 (- z x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(+ x (+ (* -1 (* x y)) (* y z)))
(fma.f64 (-.f64 z x) y x)
(- z x)
(-.f64 z x)
(* z (+ y (+ (* -1 (/ (* x y) z)) (/ x z))))
(fma.f64 (-.f64 z x) y x)
(* z (+ y (* -1 (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* z (+ 1 (* -1 (/ x z))))
(-.f64 z x)
(* -1 (* z (+ (* -1 y) (* -1 (/ (+ x (* -1 (* x y))) z)))))
(fma.f64 (-.f64 z x) y x)
(* -1 (* z (+ (* -1 y) (/ (* x y) z))))
(*.f64 (-.f64 z x) y)
(* -1 (* z (- (/ x z) 1)))
(-.f64 z x)

rewrite202.0ms (5%)

Memory
15.5MiB live, 171.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02197
02997
18997
256597
3671497
0823594
Stop Event
iter limit
node limit
iter limit
Counts
13 → 265
Calls
Call 1
Inputs
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
(*.f64 (-.f64 z x) y)
(-.f64 z x)
(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
#s(approx (- z x) (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (- 1 y) #s(literal 1 binary64)))
#s(approx (- 1 y) #s(literal 1 binary64))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(*.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(pow.f64 (/.f64 y (*.f64 (neg.f64 y) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) y)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 y y))
(/.f64 (neg.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (*.f64 (neg.f64 y) y))
(/.f64 (*.f64 (neg.f64 y) y) (-.f64 #s(literal 0 binary64) (neg.f64 y)))
(/.f64 (*.f64 (neg.f64 y) y) y)
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y)))))
(/.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (*.f64 y y))
(/.f64 (*.f64 y y) (neg.f64 y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (neg.f64 y) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (pow.f64 (neg.f64 y) #s(literal 3 binary64))))
(neg.f64 y)
(fma.f64 (*.f64 (neg.f64 y) y) (pow.f64 y #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64))
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64))
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 (*.f64 y y) y))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 y y)))
(-.f64 #s(literal 0 binary64) y)
(+.f64 #s(literal 0 binary64) (neg.f64 y))
(+.f64 (neg.f64 y) #s(literal 0 binary64))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y) (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x z) (*.f64 z z)))
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y) (fma.f64 (neg.f64 x) x (*.f64 z z))) (-.f64 z x))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z x) x)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 (pow.f64 (*.f64 (+.f64 z x) x) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 z x) x) (-.f64 (*.f64 (+.f64 z x) x) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (*.f64 (-.f64 z x) #s(literal 1 binary64)) y)
(*.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y) (pow.f64 (+.f64 z x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (/.f64 y (+.f64 z x)))
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) (*.f64 (pow.f64 (+.f64 z x) #s(literal -1 binary64)) y))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 (+.f64 z x) x (*.f64 z z))))
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) #s(literal -1 binary64)) y))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 z x) y))
(*.f64 (*.f64 (-.f64 z x) y) #s(literal 1 binary64))
(*.f64 (-.f64 z x) y)
(*.f64 y (-.f64 z x))
(pow.f64 (/.f64 (+.f64 z x) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z))) y) (neg.f64 (+.f64 z x)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) y) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (*.f64 y (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)))) (neg.f64 (+.f64 z x)))
(/.f64 (*.f64 y (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y))) (-.f64 (*.f64 z y) (*.f64 (neg.f64 x) y)))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (*.f64 z y) (-.f64 (*.f64 (*.f64 (neg.f64 x) y) (*.f64 (neg.f64 x) y)) (*.f64 (*.f64 z y) (*.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y)) (neg.f64 (+.f64 z x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 (+.f64 z x) x (*.f64 z z))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y) (+.f64 z x))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 (neg.f64 x) (-.f64 (neg.f64 x) z) (*.f64 z z)))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 (+.f64 z x) x (*.f64 z z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 z z)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 z x) x (*.f64 z z)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) y)))
(/.f64 y (pow.f64 (-.f64 z x) #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) y (*.f64 z y))
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(fma.f64 (*.f64 y x) #s(literal -1 binary64) (*.f64 z y))
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(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(pow.f64 (/.f64 x (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 0 binary64) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))

eval33.0ms (0.8%)

Memory
-20.4MiB live, 52.2MiB allocated
Compiler

Compiled 7 636 to 963 computations (87.4% saved)

prune7.0ms (0.2%)

Memory
19.8MiB live, 19.8MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New2750275
Fresh000
Picked044
Done022
Total2756281
Accuracy
100.0%
Counts
281 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 z x) y x)
56.5%
(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
67.4%
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
24.3%
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
34.5%
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
45.9%
#s(approx (+ x (* y (- z x))) (*.f64 z y))
Compiler

Compiled 160 to 83 computations (48.1% saved)

regimes15.0ms (0.4%)

Memory
-11.8MiB live, 24.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* y (- z x))) (*.f64 z y))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
(fma.f64 (-.f64 z x) y x)
(+.f64 x (*.f64 y (-.f64 z x)))
Outputs
(fma.f64 (-.f64 z x) y x)
Calls

4 calls:

5.0ms
y
3.0ms
z
3.0ms
x
3.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 y (-.f64 z x)))
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes10.0ms (0.2%)

Memory
24.6MiB live, 24.6MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* y (- z x))) (*.f64 z y))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
(fma.f64 #s(approx (- z x) (neg.f64 x)) y x)
Outputs
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))
Calls

4 calls:

2.0ms
z
2.0ms
y
2.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
2.0ms
x
Results
AccuracySegmentsBranch
84.4%3x
86.6%3y
81.0%3z
76.2%5(+.f64 x (*.f64 y (-.f64 z x)))
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes10.0ms (0.2%)

Memory
-35.0MiB live, 12.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* y (- z x))) (*.f64 z y))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
Outputs
#s(approx (+ x (* y (- z x))) (*.f64 z y))
#s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (+ x (* y (- z x))) (*.f64 z y))
Calls

3 calls:

6.0ms
x
2.0ms
z
2.0ms
y
Results
AccuracySegmentsBranch
78.4%3z
78.0%3x
65.3%3y
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes7.0ms (0.2%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* y (- z x))) (*.f64 z y))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
Outputs
#s(approx (+ x (* y (- z x))) (*.f64 z y))
#s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x))
#s(approx (+ x (* y (- z x))) (*.f64 z y))
Calls

4 calls:

2.0ms
z
2.0ms
y
2.0ms
x
2.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
Results
AccuracySegmentsBranch
65.3%3y
54.7%5(+.f64 x (*.f64 y (-.f64 z x)))
61.5%3x
62.9%5z
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes5.0ms (0.1%)

Memory
14.3MiB live, 14.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
1.0ms
x
1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
45.9%1(+.f64 x (*.f64 y (-.f64 z x)))
45.9%1z
45.9%1x
45.9%1y
Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch24.0ms (0.6%)

Memory
2.9MiB live, 40.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
7.965633689256817e-51
2.7836865496769114e-43
11.0ms
-4.003955813098499e-27
-6.544148195662525e-30
Samples
12.0ms272×0valid
Compiler

Compiled 452 to 369 computations (18.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (42% of total)
ival-mult: 2.0ms (42% of total)
ival-add: 1.0ms (21% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch25.0ms (0.6%)

Memory
0.5MiB live, 37.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
4.097673385385107e+32
3.180666889011689e+42
11.0ms
-25285759308483613000.0
-2437603030814241300.0
Samples
14.0ms256×0valid
Compiler

Compiled 394 to 332 computations (15.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (44.1% of total)
ival-sub: 1.0ms (22% of total)
ival-add: 1.0ms (22% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch14.0ms (0.3%)

Memory
-18.3MiB live, 18.4MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
7.965633689256817e-51
2.7836865496769114e-43
4.0ms
-4.003955813098499e-27
-6.544148195662525e-30
Samples
8.0ms112×0valid
Compiler

Compiled 452 to 386 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (50.7% of total)
ival-mult: 1.0ms (50.7% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify31.0ms (0.8%)

Memory
3.5MiB live, 50.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038152
149152
256152
360152
462152
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 y #s(literal -8920298079412249/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 6226884921503587/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))))
(if (<=.f64 z #s(literal -12000000000000000000 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 z y)) (if (<=.f64 z #s(literal 349999999999999992498623700725690720583680 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x (* y (- z x))) (*.f64 z y))))
(if (<=.f64 y #s(literal -2676089423823675/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 z y)) (if (<=.f64 y #s(literal 3716044227348915/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x (* y (- z x))) (*.f64 z y))))
#s(approx (+ x (* y (- z x))) (*.f64 z y))
Outputs
(fma.f64 (-.f64 z x) y x)
(if (<=.f64 y #s(literal -8920298079412249/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y)) (if (<=.f64 y #s(literal 6226884921503587/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 z x) y))))
(if (<=.f64 y #s(literal -8920298079412249/356811923176489970264571492362373784095686656 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 y (-.f64 z x))) (if (<=.f64 y #s(literal 6226884921503587/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x (* y (- z x))) (*.f64 y (-.f64 z x)))))
(if (<=.f64 z #s(literal -12000000000000000000 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 z y)) (if (<=.f64 z #s(literal 349999999999999992498623700725690720583680 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x (* y (- z x))) (*.f64 z y))))
(if (<=.f64 z #s(literal -12000000000000000000 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 y z)) (if (<=.f64 z #s(literal 349999999999999992498623700725690720583680 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (+ x (* y (- z x))) (*.f64 y z))))
(if (<=.f64 y #s(literal -2676089423823675/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 z y)) (if (<=.f64 y #s(literal 3716044227348915/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x (* y (- z x))) (*.f64 z y))))
(if (<=.f64 y #s(literal -2676089423823675/89202980794122492566142873090593446023921664 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 y z)) (if (<=.f64 y #s(literal 3716044227348915/100433627766186892221372630771322662657637687111424552206336 binary64)) #s(approx (+ x (* y (- z x))) (*.f64 #s(approx (- 1 y) #s(literal 1 binary64)) x)) #s(approx (+ x (* y (- z x))) (*.f64 y z))))
#s(approx (+ x (* y (- z x))) (*.f64 z y))
#s(approx (+ x (* y (- z x))) (*.f64 y z))

soundness917.0ms (22.5%)

Memory
1.5MiB live, 389.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078139
1246139
2696139
31900139
44531139
56855139
08191130
0615
0915
13615
228615
3381715
01086914
073185
1242137
2727137
32041137
44197137
55998137
67385137
08198128
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 208 to 94 computations (54.8% saved)

preprocess39.0ms (0.9%)

Memory
12.9MiB live, 51.3MiB allocated
Compiler

Compiled 318 to 90 computations (71.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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