Diagrams.ThreeD.Shapes:frustum from diagrams-lib-1.3.0.3, B

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.8MiB live, 0.8MiB 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)

sample703.0ms (12.5%)

Memory
-99.1MiB live, 1 181.3MiB allocated
Samples
484.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 294.0ms
ival-sub: 180.0ms (61.2% of total)
ival-mult: 63.0ms (21.4% of total)
ival-add: 42.0ms (14.3% of total)
ival-true: 6.0ms (2% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain66.0ms (1.2%)

Memory
8.1MiB live, 130.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 y x)
00-0-(+.f64 x (*.f64 (-.f64 y x) z))
00-0-(*.f64 (-.f64 y x) z)
00-0-y
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
27.0ms512×0valid
Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 5.0ms (41.6% of total)
ival-sub: 3.0ms (25% of total)
ival-mult: 3.0ms (25% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess80.0ms (1.4%)

Memory
-18.6MiB live, 103.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02772
16863
220763
373963
4141963
5213063
6243663
7249963
8249963
067
097
1137
2247
3487
4847
51307
62207
73927
86177
97077
107337
07336
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 z (-.f64 y x) x)
Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify20.0ms (0.4%)

Memory
-12.4MiB live, 26.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
0918
11318
22418
34818
48418
513018
622018
739218
861718
970718
1073318
073317
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
x
(*.f64 (-.f64 y x) z)
(-.f64 y x)
y
z
Outputs
(+.f64 x (*.f64 (-.f64 y x) z))
(fma.f64 z (-.f64 y x) x)
x
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(-.f64 y x)
y
z

localize15.0ms (0.3%)

Memory
30.1MiB live, 30.1MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y x)
accuracy0.0078125
(*.f64 (-.f64 y x) z)
accuracy0.01171875
(+.f64 x (*.f64 (-.f64 y x) z))
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 (45% of total)
ival-sub: 1.0ms (22.5% of total)
ival-add: 1.0ms (22.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
-27.3MiB live, 11.6MiB allocated
Counts
3 → 29
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
(*.f64 (-.f64 y x) z)
(-.f64 y x)
Outputs
(* y z)
(+ (* x (+ 1 (* -1 z))) (* y z))
(+ (* -1 (* x z)) (* y z))
y
(+ y (* -1 x))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ (* y z) x)))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* y z)))
(- y x)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ z (* -1 (/ (* x z) y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (* y (- (/ x y) 1)))
x
(+ x (* z (- y x)))
(* z (- y x))
(* z (- (+ y (/ x z)) x))
(* -1 (* z (+ (* -1 (- y x)) (* -1 (/ x z)))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ x (* (- y x) z)) (* (- y x) z) (- y x))
1.0ms
x
@-inf
((+ x (* (- y x) z)) (* (- y x) z) (- y x))
1.0ms
z
@-inf
((+ x (* (- y x) z)) (* (- y x) z) (- y x))
1.0ms
z
@inf
((+ x (* (- y x) z)) (* (- y x) z) (- y x))
1.0ms
y
@inf
((+ x (* (- y x) z)) (* (- y x) z) (- y x))

simplify122.0ms (2.2%)

Memory
16.9MiB live, 141.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073185
1243137
2756137
32167137
44542137
56499137
67642137
08073128
Stop Event
iter limit
node limit
Counts
29 → 27
Calls
Call 1
Inputs
(* y z)
(+ (* x (+ 1 (* -1 z))) (* y z))
(+ (* -1 (* x z)) (* y z))
y
(+ y (* -1 x))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ (* y z) x)))
(* -1 x)
(* x (- (/ y x) 1))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* y z)))
(- y x)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ z (* -1 (/ (* x z) y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (* y (- (/ x y) 1)))
x
(+ x (* z (- y x)))
(* z (- y x))
(* z (- (+ y (/ x z)) x))
(* -1 (* z (+ (* -1 (- y x)) (* -1 (/ x z)))))
Outputs
(* y z)
(*.f64 z y)
(+ (* x (+ 1 (* -1 z))) (* y z))
(fma.f64 (-.f64 y x) z x)
(+ (* -1 (* x z)) (* y z))
(*.f64 (-.f64 y x) z)
y
(+ y (* -1 x))
(-.f64 y x)
(* x (+ 1 (* -1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(fma.f64 (-.f64 y x) z x)
(* -1 (* x z))
(*.f64 (neg.f64 z) x)
(* x (+ (* -1 z) (/ (* y z) x)))
(*.f64 (-.f64 y x) z)
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (- z 1)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(fma.f64 (-.f64 y x) z x)
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(*.f64 (-.f64 y x) z)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* y z)))
(fma.f64 (-.f64 y x) z x)
(- y x)
(-.f64 y x)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 (-.f64 y x) z x)
(* y (+ z (* -1 (/ (* x z) y))))
(*.f64 (-.f64 y x) z)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 (-.f64 y x) z x)
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(*.f64 (-.f64 y x) z)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
x
(+ x (* z (- y x)))
(fma.f64 (-.f64 y x) z x)
(* z (- y x))
(*.f64 (-.f64 y x) z)
(* z (- (+ y (/ x z)) x))
(fma.f64 (-.f64 y x) z x)
(* -1 (* z (+ (* -1 (- y x)) (* -1 (/ x z)))))
(fma.f64 (-.f64 y x) z x)

rewrite181.0ms (3.2%)

Memory
15.5MiB live, 245.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
0915
13615
228615
3385015
01092714
Stop Event
iter limit
node limit
iter limit
Counts
3 → 258
Calls
Call 1
Inputs
(+.f64 x (*.f64 (-.f64 y x) z))
(*.f64 (-.f64 y x) z)
(-.f64 y x)
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 x x (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x)) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x)) (*.f64 x x)) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #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 z (-.f64 y x)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 z (-.f64 y x)) x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x))) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x)))))
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x))) (-.f64 (*.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)))) (fma.f64 (*.f64 z (-.f64 y x)) (fma.f64 z (-.f64 y x) x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64))) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)))) (fma.f64 z (-.f64 y x) x))
(*.f64 (-.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x (*.f64 z (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x (*.f64 z (-.f64 y x))) #s(literal -1 binary64)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x)) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #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 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x)) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 z (-.f64 y x) x))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x)) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (-.f64 x (*.f64 z (-.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64))) (pow.f64 (-.f64 x (*.f64 z (-.f64 y x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x)) (*.f64 x x)) (/.f64 (fma.f64 z (-.f64 y x) x) (fma.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x)) (*.f64 x x))))
(*.f64 (fma.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x)) (*.f64 x x)) (*.f64 (fma.f64 z (-.f64 y x) x) (pow.f64 (fma.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 z (-.f64 y x)) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 z (-.f64 y x) x) (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (-.f64 x (*.f64 z (-.f64 y x)))))
(*.f64 (fma.f64 z (-.f64 y x) x) (*.f64 (-.f64 x (*.f64 z (-.f64 y x))) (pow.f64 (-.f64 x (*.f64 z (-.f64 y x))) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (-.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 x x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 z (-.f64 y x) x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (fma.f64 z (-.f64 y x) (neg.f64 x))) (*.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) (*.f64 x x))) (pow.f64 (fma.f64 z (-.f64 y x) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 x (*.f64 z (-.f64 y x))))) (*.f64 (neg.f64 (-.f64 x (*.f64 z (-.f64 y x)))) (neg.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64))))) (*.f64 (neg.f64 (-.f64 x (*.f64 z (-.f64 y x)))) (neg.f64 (-.f64 x (*.f64 z (-.f64 y x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 x (*.f64 z (-.f64 y x)))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x (*.f64 z (-.f64 y x)))) (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 x) x) (-.f64 x (*.f64 z (-.f64 y x)))) (*.f64 (neg.f64 (-.f64 x (*.f64 z (-.f64 y x)))) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 x (*.f64 z (-.f64 y x)))) (-.f64 x (*.f64 z (-.f64 y x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x (*.f64 z (-.f64 y x))))) (*.f64 (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (*.f64 x x)) (neg.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (*.f64 x x)) (neg.f64 (-.f64 x (*.f64 z (-.f64 y x))))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (*.f64 x x)) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (*.f64 x x)) (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 x (*.f64 z (-.f64 y x)))) (*.f64 (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (*.f64 x x)) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)))) (*.f64 (/.f64 (-.f64 x (*.f64 z (-.f64 y x))) (*.f64 x x)) (-.f64 x (*.f64 z (-.f64 y x)))))
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(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (+.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y)))
(neg.f64 (neg.f64 (-.f64 y x)))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (+.f64 y #s(literal 0 binary64)) x)
(-.f64 #s(literal 0 binary64) (-.f64 x y))
(-.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))
(-.f64 y x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x)))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval117.0ms (2.1%)

Memory
-25.9MiB live, 57.5MiB allocated
Compiler

Compiled 6 918 to 970 computations (86% saved)

prune4.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New2614265
Fresh000
Picked101
Done000
Total2624266
Accuracy
100.0%
Counts
266 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 y x) z x)
100.0%
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
58.3%
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
44.8%
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify33.0ms (0.6%)

Memory
-21.7MiB live, 15.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(fma.f64 (-.f64 y x) z x)
cost-diff0
(neg.f64 x)
cost-diff0
(fma.f64 (neg.f64 x) z x)
cost-diff320
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
cost-diff0
(-.f64 #s(literal 1 binary64) z)
cost-diff0
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
cost-diff0
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
cost-diff0
(*.f64 z y)
cost-diff0
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01770
02770
14566
27466
311966
419966
532766
649666
764266
867666
067666
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
z
y
(fma.f64 (neg.f64 x) z x)
(neg.f64 x)
x
(fma.f64 (-.f64 y x) z x)
(-.f64 y x)
y
x
z
Outputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
(*.f64 z y)
z
y
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
x
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
(fma.f64 (-.f64 y x) z x)
z
y
(fma.f64 (neg.f64 x) z x)
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(neg.f64 x)
x
(fma.f64 (-.f64 y x) z x)
(-.f64 y x)
y
x
z

localize102.0ms (1.8%)

Memory
2.1MiB live, 38.5MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y x)
accuracy0.00390625
(fma.f64 (-.f64 y x) z x)
accuracy0.0
(fma.f64 (neg.f64 x) z x)
accuracy0.0
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
accuracy0.0
(neg.f64 x)
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy26.663209065807916
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy0.0
(*.f64 z y)
accuracy35.32619475049451
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Samples
25.0ms256×0valid
Compiler

Compiled 136 to 34 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 6.0ms (41.8% of total)
ival-add: 4.0ms (27.9% of total)
ival-sub: 3.0ms (20.9% of total)
ival-neg: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
10 → 37
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
(*.f64 z y)
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
(fma.f64 (neg.f64 x) z x)
(neg.f64 x)
(fma.f64 (-.f64 y x) z x)
(-.f64 y x)
Outputs
(* y z)
(+ (* x (+ 1 (* -1 z))) (* y z))
(* x (- 1 z))
(* x (+ 1 (* -1 z)))
(* -1 x)
y
(+ y (* -1 x))
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(* x (- (/ y x) 1))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* y z)))
(- y x)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (- (/ x y) 1)))
x
(+ x (* z (- y x)))
1
(+ 1 (* -1 z))
(+ x (* z (+ y (* -1 x))))
(* z (- y x))
(* z (- (+ y (/ x z)) x))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (+ y (* -1 x)))
(* z (+ y (+ (* -1 x) (/ x z))))
(* -1 (* z (+ (* -1 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ x (* -1 y))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
Calls

9 calls:

TimeVariablePointExpression
2.0ms
z
@inf
((+ x (* (- y x) z)) (* z y) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (+ (* z y) (+ (* (neg x) z) x)) (+ (* (neg x) z) x) (neg x) (+ (* (- y x) z) x) (- y x))
1.0ms
x
@0
((+ x (* (- y x) z)) (* z y) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (+ (* z y) (+ (* (neg x) z) x)) (+ (* (neg x) z) x) (neg x) (+ (* (- y x) z) x) (- y x))
1.0ms
x
@inf
((+ x (* (- y x) z)) (* z y) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (+ (* z y) (+ (* (neg x) z) x)) (+ (* (neg x) z) x) (neg x) (+ (* (- y x) z) x) (- y x))
1.0ms
z
@-inf
((+ x (* (- y x) z)) (* z y) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (+ (* z y) (+ (* (neg x) z) x)) (+ (* (neg x) z) x) (neg x) (+ (* (- y x) z) x) (- y x))
1.0ms
x
@-inf
((+ x (* (- y x) z)) (* z y) (+ x (* (- y x) z)) (* (- 1 z) x) (- 1 z) (+ (* z y) (+ (* (neg x) z) x)) (+ (* (neg x) z) x) (neg x) (+ (* (- y x) z) x) (- y x))

simplify184.0ms (3.3%)

Memory
-0.0MiB live, 79.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090194
1295170
2849170
32243170
45069170
57522170
08067158
Stop Event
iter limit
node limit
Counts
37 → 35
Calls
Call 1
Inputs
(* y z)
(+ (* x (+ 1 (* -1 z))) (* y z))
(* x (- 1 z))
(* x (+ 1 (* -1 z)))
(* -1 x)
y
(+ y (* -1 x))
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(* x (- (/ y x) 1))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* y z)))
(- y x)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (- (/ x y) 1)))
x
(+ x (* z (- y x)))
1
(+ 1 (* -1 z))
(+ x (* z (+ y (* -1 x))))
(* z (- y x))
(* z (- (+ y (/ x z)) x))
(* -1 (* x z))
(* z (+ (* -1 x) (/ x z)))
(* -1 z)
(* z (- (/ 1 z) 1))
(* z (+ y (* -1 x)))
(* z (+ y (+ (* -1 x) (/ x z))))
(* -1 (* z (+ (* -1 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ x (* -1 y))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
Outputs
(* y z)
(*.f64 z y)
(+ (* x (+ 1 (* -1 z))) (* y z))
(fma.f64 z (-.f64 y x) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (+ 1 (* -1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 x)
(neg.f64 x)
y
(+ y (* -1 x))
(-.f64 y x)
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(fma.f64 z (-.f64 y x) x)
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (- z 1)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(fma.f64 z (-.f64 y x) x)
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* y z)))
(fma.f64 z (-.f64 y x) x)
(- y x)
(-.f64 y x)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 z (-.f64 y x) x)
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
x
(+ x (* z (- y x)))
(fma.f64 z (-.f64 y x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(+ x (* z (+ y (* -1 x))))
(fma.f64 z (-.f64 y x) x)
(* z (- y x))
(*.f64 z (-.f64 y x))
(* z (- (+ y (/ x z)) x))
(fma.f64 z (-.f64 y x) x)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* z (+ (* -1 x) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 z)
(neg.f64 z)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (+ y (* -1 x)))
(*.f64 z (-.f64 y x))
(* z (+ y (+ (* -1 x) (/ x z))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* z (+ (* -1 (- y x)) (* -1 (/ x z)))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (+ x (* -1 y))))
(*.f64 z (-.f64 y x))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
(fma.f64 z (-.f64 y x) x)

rewrite394.0ms (7%)

Memory
-0.5MiB live, 195.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01759
02759
111055
287455
0840055
Stop Event
iter limit
node limit
iter limit
Counts
10 → 478
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
(*.f64 z y)
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(-.f64 #s(literal 1 binary64) z)
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
(fma.f64 (neg.f64 x) z x)
(neg.f64 x)
(fma.f64 (-.f64 y x) z x)
(-.f64 y x)
Outputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
(*.f64 z y)
(*.f64 y z)
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) x) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 x) z (neg.f64 x)))))
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(+.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (fma.f64 z y (*.f64 z x)) x)) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal 2 binary64)) (-.f64 (fma.f64 z y (*.f64 z x)) x))))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 (-.f64 y x) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)) (-.f64 x (*.f64 (-.f64 y x) z)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (-.f64 y x) z) #s(literal 2 binary64)) (fma.f64 (-.f64 y x) z (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 (-.f64 y x) z (neg.f64 x)))))
(+.f64 (*.f64 (neg.f64 x) z) (+.f64 x (*.f64 z y)))
(+.f64 (*.f64 (-.f64 y x) z) x)
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 z y))
(+.f64 (*.f64 z y) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(+.f64 x (*.f64 (-.f64 y x) z))
(*.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 x x) (*.f64 y (neg.f64 x)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) y)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(-.f64 y x)
(+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval52.0ms (0.9%)

Memory
31.1MiB live, 69.5MiB allocated
Compiler

Compiled 7 961 to 1 067 computations (86.6% saved)

prune20.0ms (0.4%)

Memory
-18.5MiB live, 25.5MiB allocated
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2994303
Fresh000
Picked134
Done000
Total3007307
Accuracy
100.0%
Counts
307 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 y x) z x)
100.0%
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
68.3%
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
58.3%
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
27.9%
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
32.8%
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
44.8%
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Compiler

Compiled 85 to 63 computations (25.9% saved)

simplify49.0ms (0.9%)

Memory
-13.7MiB live, 25.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
026111
034111
155109
280109
3121109
4175109
5308109
6490109
7688109
8843109
9907109
10913109
11917109
12923109
13927109
0927105
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
x
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
(fma.f64 (neg.f64 x) z x)
(neg.f64 x)
x
z
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
(*.f64 z (-.f64 y x))
z
(-.f64 y x)
y
x
Outputs
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
z
x
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(fma.f64 (neg.f64 x) z x)
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(neg.f64 x)
x
z
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 (-.f64 y x) z))
(*.f64 z (-.f64 y x))
(*.f64 (-.f64 y x) z)
z
(-.f64 y x)
y
x

localize50.0ms (0.9%)

Memory
7.2MiB live, 45.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y x)
accuracy0.0078125
(*.f64 z (-.f64 y x))
accuracy20.280167044441544
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
accuracy0.0
(fma.f64 (neg.f64 x) z x)
accuracy0.0
(neg.f64 x)
accuracy26.663209065807916
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
accuracy0.0
(neg.f64 z)
accuracy0.00390625
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
accuracy26.663209065807916
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy32.37123749259718
#s(approx (- 1 z) (neg.f64 z))
accuracy0.00390625
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
accuracy26.663209065807916
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
accuracy30.55709681495208
#s(approx (- 1 z) #s(literal 1 binary64))
Samples
39.0ms256×0valid
Compiler

Compiled 188 to 45 computations (76.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sub: 13.0ms (48.7% of total)
ival-mult: 8.0ms (30% of total)
ival-add: 3.0ms (11.2% of total)
ival-neg: 2.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB allocated
Counts
13 → 42
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
(fma.f64 (neg.f64 x) z x)
(neg.f64 x)
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
(*.f64 z (-.f64 y x))
(-.f64 y x)
Outputs
(* y z)
(+ (* x (+ 1 (* -1 z))) (* y z))
(* x (- 1 z))
(* x (+ 1 (* -1 z)))
(* -1 x)
(+ (* -1 (* x z)) (* y z))
y
(+ y (* -1 x))
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ (* y z) x)))
(* x (- (/ y x) 1))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* y z)))
(- y x)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ z (* -1 (/ (* x z) y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (* y (- (/ x y) 1)))
x
(+ x (* z (- y x)))
1
(+ 1 (* -1 z))
(* -1 z)
(+ x (* z (+ y (* -1 x))))
(* z (- y x))
(* z (- (+ y (/ x z)) x))
(* z (+ (* -1 x) (/ x z)))
(* z (- (/ 1 z) 1))
(* z (+ y (* -1 x)))
(* z (+ y (+ (* -1 x) (/ x z))))
(* -1 (* z (+ (* -1 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ x (* -1 y))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
Calls

9 calls:

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

simplify120.0ms (2.1%)

Memory
2.1MiB live, 79.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098219
1331195
2984195
32518195
45204195
57717195
08010183
Stop Event
iter limit
node limit
Counts
42 → 40
Calls
Call 1
Inputs
(* y z)
(+ (* x (+ 1 (* -1 z))) (* y z))
(* x (- 1 z))
(* x (+ 1 (* -1 z)))
(* -1 x)
(+ (* -1 (* x z)) (* y z))
y
(+ y (* -1 x))
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(* -1 (* x z))
(* x (+ (* -1 z) (/ (* y z) x)))
(* x (- (/ y x) 1))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* y z)))
(- y x)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(* y (+ z (* -1 (/ (* x z) y))))
(* y (+ 1 (* -1 (/ x y))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (* y (- (/ x y) 1)))
x
(+ x (* z (- y x)))
1
(+ 1 (* -1 z))
(* -1 z)
(+ x (* z (+ y (* -1 x))))
(* z (- y x))
(* z (- (+ y (/ x z)) x))
(* z (+ (* -1 x) (/ x z)))
(* z (- (/ 1 z) 1))
(* z (+ y (* -1 x)))
(* z (+ y (+ (* -1 x) (/ x z))))
(* -1 (* z (+ (* -1 (- y x)) (* -1 (/ x z)))))
(* -1 (* z (+ x (* -1 (/ x z)))))
(* -1 (* z (- 1 (/ 1 z))))
(* -1 (* z (+ x (* -1 y))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
Outputs
(* y z)
(*.f64 z y)
(+ (* x (+ 1 (* -1 z))) (* y z))
(fma.f64 z (-.f64 y x) x)
(* x (- 1 z))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (+ 1 (* -1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 x)
(neg.f64 x)
(+ (* -1 (* x z)) (* y z))
(*.f64 z (-.f64 y x))
y
(+ y (* -1 x))
(-.f64 y x)
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* x (+ (* -1 z) (/ (* y z) x)))
(*.f64 z (-.f64 y x))
(* x (- (/ y x) 1))
(-.f64 y x)
(* -1 (* x (- z 1)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(fma.f64 z (-.f64 y x) x)
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(*.f64 z (-.f64 y x))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(-.f64 y x)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* y z)))
(fma.f64 z (-.f64 y x) x)
(- y x)
(-.f64 y x)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 z (-.f64 y x) x)
(* y (+ z (* -1 (/ (* x z) y))))
(*.f64 z (-.f64 y x))
(* y (+ 1 (* -1 (/ x y))))
(-.f64 y x)
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(*.f64 z (-.f64 y x))
(* -1 (* y (- (/ x y) 1)))
(-.f64 y x)
x
(+ x (* z (- y x)))
(fma.f64 z (-.f64 y x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 z))
(-.f64 #s(literal 1 binary64) z)
(* -1 z)
(neg.f64 z)
(+ x (* z (+ y (* -1 x))))
(fma.f64 z (-.f64 y x) x)
(* z (- y x))
(*.f64 z (-.f64 y x))
(* z (- (+ y (/ x z)) x))
(fma.f64 z (-.f64 y x) x)
(* z (+ (* -1 x) (/ x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* z (- (/ 1 z) 1))
(-.f64 #s(literal 1 binary64) z)
(* z (+ y (* -1 x)))
(*.f64 z (-.f64 y x))
(* z (+ y (+ (* -1 x) (/ x z))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* z (+ (* -1 (- y x)) (* -1 (/ x z)))))
(fma.f64 z (-.f64 y x) x)
(* -1 (* z (+ x (* -1 (/ x z)))))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* z (- 1 (/ 1 z))))
(-.f64 #s(literal 1 binary64) z)
(* -1 (* z (+ x (* -1 y))))
(*.f64 z (-.f64 y x))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
(fma.f64 z (-.f64 y x) x)

rewrite141.0ms (2.5%)

Memory
28.4MiB live, 136.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026102
034102
1112100
2798100
0840396
Stop Event
iter limit
node limit
iter limit
Counts
13 → 176
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
#s(approx (- 1 z) #s(literal 1 binary64))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
#s(approx (- 1 z) (neg.f64 z))
(neg.f64 z)
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
(fma.f64 (neg.f64 x) z x)
(neg.f64 x)
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
(*.f64 z (-.f64 y x))
(-.f64 y x)
Outputs
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
(*.f64 x #s(approx (- 1 z) #s(literal 1 binary64)))
#s(approx (- 1 z) #s(literal 1 binary64))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x)
(*.f64 x #s(approx (- 1 z) (neg.f64 z)))
#s(approx (- 1 z) (neg.f64 z))
(*.f64 (*.f64 (neg.f64 z) z) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 z z #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) z)
(*.f64 (neg.f64 z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 z))
(*.f64 z #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (fma.f64 z z #s(literal 0 binary64))))
(/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 0 binary64) (neg.f64 z)))
(/.f64 (*.f64 (neg.f64 z) z) z)
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z)))))
(/.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64)))
(/.f64 (*.f64 z z) (neg.f64 z))
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z z #s(literal 0 binary64)) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(neg.f64 z)
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 z z #s(literal 0 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 z z #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x (*.f64 z x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 z x x)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))))
(*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) z) (neg.f64 (fma.f64 z x x))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 (fma.f64 x (+.f64 x (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x)))) (*.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) (+.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (neg.f64 (+.f64 x (*.f64 z x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 z x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) z) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z x x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 x) z) x) #s(literal 3 binary64)))) (fma.f64 x (+.f64 x (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (*.f64 (neg.f64 (fma.f64 z x x)) (*.f64 x x))) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (+.f64 x (*.f64 z x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (neg.f64 (fma.f64 z x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) z) (neg.f64 (fma.f64 z x x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (+.f64 x (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (neg.f64 (neg.f64 (fma.f64 z x x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 z x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) z) (neg.f64 (fma.f64 z x x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 x (+.f64 x (*.f64 z x)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z x)) (-.f64 (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 (neg.f64 x) z) (neg.f64 (fma.f64 z x x)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(neg.f64 (fma.f64 z x (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (*.f64 z x) x)
(fma.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(fma.f64 (neg.f64 x) z x)
(fma.f64 (neg.f64 z) x x)
(fma.f64 z (neg.f64 x) x)
(fma.f64 x (neg.f64 z) x)
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 z x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (+.f64 x (*.f64 z x))))
(-.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))
(-.f64 x (*.f64 z x))
(+.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))))
(+.f64 (*.f64 (neg.f64 x) z) x)
(+.f64 x (*.f64 (neg.f64 x) z))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.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)) (fma.f64 x x #s(literal 0 binary64)))
(/.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 (fma.f64 x x #s(literal 0 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 (*.f64 x x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 (-.f64 y x) z))
(*.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 z (+.f64 y x)) (*.f64 (-.f64 y x) z)) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))))
(*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) z) (-.f64 (*.f64 (neg.f64 x) z) (*.f64 z y))))))
(*.f64 (-.f64 y x) z)
(*.f64 z (-.f64 y x))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 x) z) (*.f64 z y)))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) z) (*.f64 z y)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (neg.f64 (*.f64 (*.f64 z (+.f64 y x)) (*.f64 (-.f64 y x) z))) (neg.f64 (*.f64 z (+.f64 y x))))
(/.f64 (neg.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) z) (-.f64 (*.f64 (neg.f64 x) z) (*.f64 z y))))))
(/.f64 (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z) (+.f64 y x))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (*.f64 z (*.f64 (+.f64 y x) (-.f64 y x))) (+.f64 y x))
(/.f64 (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 (*.f64 (*.f64 z (+.f64 y x)) (*.f64 (-.f64 y x) z)) (*.f64 z (+.f64 y x)))
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 z x)))))
(/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) z) (-.f64 (*.f64 (neg.f64 x) z) (*.f64 z y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 z (*.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (*.f64 z (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (+.f64 y x)) (*.f64 (*.f64 z (+.f64 y x)) (*.f64 (-.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) z) (-.f64 (*.f64 (neg.f64 x) z) (*.f64 z y)))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 z (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (*.f64 z y))
(fma.f64 (neg.f64 x) z (*.f64 z y))
(fma.f64 (neg.f64 z) x (*.f64 z y))
(fma.f64 z (neg.f64 x) (*.f64 z y))
(fma.f64 z y (*.f64 (neg.f64 x) z))
(fma.f64 y z (*.f64 (neg.f64 x) z))
(fma.f64 x (neg.f64 z) (*.f64 z y))
(-.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (+.f64 y x))))
(-.f64 (*.f64 z y) (*.f64 z x))
(+.f64 (*.f64 (neg.f64 x) z) (*.f64 z y))
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) z))
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x))))
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (-.f64 y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (neg.f64 x) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 y y) (+.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x))) (neg.f64 (neg.f64 (+.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (*.f64 x x)) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (+.f64 y x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (*.f64 (+.f64 y x) (+.f64 y x)))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) (neg.f64 (+.f64 y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 x (+.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (+.f64 y x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y y (*.f64 x (+.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (*.f64 (neg.f64 x) (-.f64 (neg.f64 x) y))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(neg.f64 (neg.f64 (-.f64 y x)))
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) y)
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64))) y)
(fma.f64 #s(literal -1 binary64) x y)
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 y y (*.f64 x (+.f64 y x))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))
(fma.f64 x #s(literal -1 binary64) y)
(-.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (/.f64 (*.f64 x x) (+.f64 y x)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))))
(-.f64 y x)
(+.f64 (/.f64 (*.f64 y y) (+.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 y y (*.f64 x (+.f64 y x))))))
(+.f64 (neg.f64 x) y)
(+.f64 y (neg.f64 x))

eval56.0ms (1%)

Memory
-8.5MiB live, 74.9MiB allocated
Compiler

Compiled 5 004 to 737 computations (85.3% saved)

prune8.0ms (0.1%)

Memory
-20.3MiB live, 16.9MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New1881189
Fresh000
Picked044
Done123
Total1897196
Accuracy
100.0%
Counts
196 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 y x) z x)
68.3%
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 z y (*.f64 (neg.f64 x) z)))
68.3%
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
58.3%
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
27.9%
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
32.8%
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
44.8%
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Compiler

Compiled 95 to 69 computations (27.4% saved)

simplify25.0ms (0.4%)

Memory
-1.0MiB live, 36.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(*.f64 (neg.f64 x) z)
cost-diff0
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 z y (*.f64 (neg.f64 x) z)))
cost-diff320
(fma.f64 z y (*.f64 (neg.f64 x) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01234
01533
12730
24927
39427
414527
526027
640227
758527
868127
969227
069226
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 z y (*.f64 (neg.f64 x) z)))
(fma.f64 z y (*.f64 (neg.f64 x) z))
z
y
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x
Outputs
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 z y (*.f64 (neg.f64 x) z)))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 (-.f64 y x) z))
(fma.f64 z y (*.f64 (neg.f64 x) z))
(*.f64 (-.f64 y x) z)
z
y
(*.f64 (neg.f64 x) z)
(neg.f64 x)
x

localize28.0ms (0.5%)

Memory
-16.1MiB live, 41.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 z y (*.f64 (neg.f64 x) z))
accuracy0.0
(*.f64 (neg.f64 x) z)
accuracy0.0
(neg.f64 x)
accuracy20.280167044441544
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 z y (*.f64 (neg.f64 x) z)))
Samples
22.0ms256×0valid
Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-add: 3.0ms (38.7% of total)
ival-mult: 3.0ms (38.7% of total)
ival-neg: 1.0ms (12.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
4 → 23
Calls
Call 1
Inputs
(fma.f64 z y (*.f64 (neg.f64 x) z))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 z y (*.f64 (neg.f64 x) z)))
(*.f64 (neg.f64 x) z)
(neg.f64 x)
Outputs
(* y z)
(+ (* -1 (* x z)) (* y z))
(+ (* x (+ 1 (* -1 z))) (* y z))
(* -1 (* x z))
(* -1 x)
(* x (+ (* -1 z) (/ (* y z) x)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* y z)))
(* y (+ z (* -1 (/ (* x z) y))))
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* z (+ y (* -1 x)))
x
(+ x (* z (+ y (* -1 x))))
(* z (+ y (+ (* -1 x) (/ x z))))
(* -1 (* z (+ x (* -1 y))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
Calls

9 calls:

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

simplify110.0ms (2%)

Memory
27.6MiB live, 141.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063160
1220123
2658123
31788123
44623123
57107123
08227114
Stop Event
iter limit
node limit
Counts
23 → 22
Calls
Call 1
Inputs
(* y z)
(+ (* -1 (* x z)) (* y z))
(+ (* x (+ 1 (* -1 z))) (* y z))
(* -1 (* x z))
(* -1 x)
(* x (+ (* -1 z) (/ (* y z) x)))
(* x (+ 1 (* -1 z)))
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(* -1 (* x (- z 1)))
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(+ x (* -1 (* x z)))
(+ x (+ (* -1 (* x z)) (* y z)))
(* y (+ z (* -1 (/ (* x z) y))))
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(* z (+ y (* -1 x)))
x
(+ x (* z (+ y (* -1 x))))
(* z (+ y (+ (* -1 x) (/ x z))))
(* -1 (* z (+ x (* -1 y))))
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
Outputs
(* y z)
(*.f64 y z)
(+ (* -1 (* x z)) (* y z))
(*.f64 (-.f64 y x) z)
(+ (* x (+ 1 (* -1 z))) (* y z))
(fma.f64 (-.f64 y x) z x)
(* -1 (* x z))
(*.f64 (neg.f64 x) z)
(* -1 x)
(neg.f64 x)
(* x (+ (* -1 z) (/ (* y z) x)))
(*.f64 (-.f64 y x) z)
(* x (+ 1 (* -1 z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* x (+ 1 (+ (* -1 z) (/ (* y z) x))))
(fma.f64 (-.f64 y x) z x)
(* -1 (* x (+ z (* -1 (/ (* y z) x)))))
(*.f64 (-.f64 y x) z)
(* -1 (* x (- z 1)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(* -1 (* x (- (+ z (* -1 (/ (* y z) x))) 1)))
(fma.f64 (-.f64 y x) z x)
(+ x (* -1 (* x z)))
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
(+ x (+ (* -1 (* x z)) (* y z)))
(fma.f64 (-.f64 y x) z x)
(* y (+ z (* -1 (/ (* x z) y))))
(*.f64 (-.f64 y x) z)
(* y (+ z (+ (* -1 (/ (* x z) y)) (/ x y))))
(fma.f64 (-.f64 y x) z x)
(* -1 (* y (+ (* -1 z) (/ (* x z) y))))
(*.f64 (-.f64 y x) z)
(* -1 (* y (+ (* -1 z) (* -1 (/ (+ x (* -1 (* x z))) y)))))
(fma.f64 (-.f64 y x) z x)
(* z (+ y (* -1 x)))
(*.f64 (-.f64 y x) z)
x
(+ x (* z (+ y (* -1 x))))
(fma.f64 (-.f64 y x) z x)
(* z (+ y (+ (* -1 x) (/ x z))))
(fma.f64 (-.f64 y x) z x)
(* -1 (* z (+ x (* -1 y))))
(*.f64 (-.f64 y x) z)
(* -1 (* z (+ x (+ (* -1 y) (* -1 (/ x z))))))
(fma.f64 (-.f64 y x) z x)

rewrite259.0ms (4.6%)

Memory
-36.9MiB live, 204.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01231
01530
16027
251024
3794324
0845323
Stop Event
iter limit
node limit
iter limit
Counts
4 → 123
Calls
Call 1
Inputs
(fma.f64 z y (*.f64 (neg.f64 x) z))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 z y (*.f64 (neg.f64 x) z)))
(*.f64 (neg.f64 x) z)
(neg.f64 x)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 (neg.f64 x) z) z) (-.f64 y x) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
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(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) z))
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(neg.f64 (*.f64 x z))
(fma.f64 #s(literal 0 binary64) z (*.f64 (neg.f64 x) z))
(fma.f64 z #s(literal 0 binary64) (*.f64 (neg.f64 x) z))
(-.f64 #s(literal 0 binary64) (*.f64 x z))
(+.f64 (*.f64 #s(literal 0 binary64) z) (*.f64 (neg.f64 x) z))
(+.f64 (*.f64 z #s(literal 0 binary64)) (*.f64 (neg.f64 x) z))
(+.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) z))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #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) 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))))
(/.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))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #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) 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))

eval14.0ms (0.3%)

Memory
28.3MiB live, 28.3MiB allocated
Compiler

Compiled 4 043 to 498 computations (87.7% saved)

prune15.0ms (0.3%)

Memory
-26.0MiB live, 13.4MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1290129
Fresh000
Picked011
Done066
Total1297136
Accuracy
100.0%
Counts
136 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 y x) z x)
68.3%
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 z y (*.f64 (neg.f64 x) z)))
68.3%
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
58.3%
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
27.9%
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
32.8%
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
44.8%
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Compiler

Compiled 218 to 108 computations (50.5% saved)

regimes16.0ms (0.3%)

Memory
31.1MiB live, 31.1MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 z y (*.f64 (neg.f64 x) z)))
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
Outputs
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
Calls

4 calls:

4.0ms
z
4.0ms
y
4.0ms
x
4.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes32.0ms (0.6%)

Memory
-8.9MiB live, 28.8MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
(fma.f64 (-.f64 y x) z x)
(+.f64 x (*.f64 (-.f64 y x) z))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 z y (*.f64 (neg.f64 x) z)))
Outputs
(fma.f64 (-.f64 y x) z x)
Calls

4 calls:

21.0ms
z
3.0ms
y
3.0ms
x
3.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes61.0ms (1.1%)

Memory
-22.4MiB live, 23.5MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
Outputs
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
Calls

4 calls:

53.0ms
y
3.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
80.2%3x
80.9%3y
81.5%3z
73.5%3(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
5 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
Outputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Calls

3 calls:

2.0ms
y
2.0ms
z
2.0ms
x
Results
AccuracySegmentsBranch
76.2%3x
76.8%3y
64.5%4z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes2.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
Outputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Calls

1 calls:

2.0ms
y
Results
AccuracySegmentsBranch
76.8%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes17.0ms (0.3%)

Memory
-9.2MiB live, 29.4MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
Outputs
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Calls

4 calls:

11.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
2.0ms
z
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
60.2%3z
53.6%4(+.f64 x (*.f64 (-.f64 y x) z))
58.0%3x
62.4%5y
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes3.0ms (0.1%)

Memory
12.2MiB live, 12.2MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
Outputs
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Calls

2 calls:

1.0ms
y
1.0ms
z
Results
AccuracySegmentsBranch
57.7%3y
58.2%3z
Compiler

Compiled 2 to 6 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

4 calls:

1.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
1.0ms
y
1.0ms
z
1.0ms
x
Results
AccuracySegmentsBranch
44.8%1(+.f64 x (*.f64 (-.f64 y x) z))
44.8%1y
44.8%1x
44.8%1z
Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch17.0ms (0.3%)

Memory
-11.4MiB live, 27.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.560883778115582e-141
6.893890795057322e-135
5.0ms
-50386155525856940.0
-43513767576629550.0
Samples
9.0ms176×0valid
Compiler

Compiled 329 to 265 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (32.4% of total)
ival-add: 1.0ms (32.4% of total)
ival-mult: 1.0ms (32.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch48.0ms (0.9%)

Memory
0.7MiB live, 38.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
8.0ms
2.8207229250158447e+38
1.0357790599460777e+40
38.0ms
-0.0003382030262898647
-1.840316641591222e-14
Samples
37.0ms272×0valid
Compiler

Compiled 418 to 335 computations (19.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-mult: 2.0ms (42.3% of total)
ival-sub: 1.0ms (21.2% of total)
ival-add: 1.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
2.8207229250158447e+38
1.0357790599460777e+40
1.0ms
-0.0003382030262898647
-1.840316641591222e-14
Compiler

Compiled 418 to 352 computations (15.8% saved)

bsearch43.0ms (0.8%)

Memory
-48.7MiB live, 52.7MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
2.0ms
3.560883778115582e-141
6.893890795057322e-135
38.0ms
-4.1389896990150925
-0.0009009605389066688
Samples
34.0ms144×0valid
Compiler

Compiled 492 to 418 computations (15% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (38.1% of total)
ival-add: 1.0ms (38.1% of total)
ival-mult: 1.0ms (38.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch10.0ms (0.2%)

Memory
27.0MiB live, 27.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
3.560883778115582e-141
6.893890795057322e-135
8.0ms
-2.2608716247482686e-68
-1.370106241165924e-70
Samples
4.0ms112×0valid
Compiler

Compiled 426 to 364 computations (14.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-sub: 1.0ms (49.5% of total)
ival-add: 1.0ms (49.5% of total)
ival-mult: 1.0ms (49.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify111.0ms (2%)

Memory
-12.1MiB live, 65.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056214
190211
2116211
3162211
4220211
5399211
62091211
75187211
87825211
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
(fma.f64 (-.f64 y x) z x)
(if (<=.f64 z #s(literal -45000000000000000 binary64)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x))) (if (<=.f64 z #s(literal 4173573025067581/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))))
(if (<=.f64 y #s(literal -1544914816173175/4611686018427387904 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 y #s(literal 9200000000000000472911277291184041492480 binary64)) #s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x)) #s(approx (+ x (* (- y x) z)) (*.f64 z y))))
(if (<=.f64 y #s(literal -1544914816173175/4611686018427387904 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 y #s(literal 9200000000000000472911277291184041492480 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (+ x (* (- y x) z)) (*.f64 z y))))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #s(approx (+ x (* (- y x) z)) (*.f64 z y))))
(if (<=.f64 z #s(literal -5342339453620755/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 z #s(literal 8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #s(approx (+ x (* (- y x) z)) (*.f64 z y))))
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Outputs
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
(fma.f64 (-.f64 y x) z x)
(if (<=.f64 z #s(literal -45000000000000000 binary64)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x))) (if (<=.f64 z #s(literal 4173573025067581/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))))
(if (or (<=.f64 z #s(literal -45000000000000000 binary64)) (not (<=.f64 z #s(literal 4173573025067581/818347651974035467503297424206899788054160511510766197370822842024033449101168638720817523081476039287721671031890017752304314136471348263332131897344 binary64)))) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x))) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(if (<=.f64 y #s(literal -1544914816173175/4611686018427387904 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 y #s(literal 9200000000000000472911277291184041492480 binary64)) #s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x)) #s(approx (+ x (* (- y x) z)) (*.f64 z y))))
(if (or (<=.f64 y #s(literal -1544914816173175/4611686018427387904 binary64)) (not (<=.f64 y #s(literal 9200000000000000472911277291184041492480 binary64)))) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z y)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 (neg.f64 x) z x)))
(if (<=.f64 y #s(literal -1544914816173175/4611686018427387904 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 y #s(literal 9200000000000000472911277291184041492480 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (+ x (* (- y x) z)) (*.f64 z y))))
(if (or (<=.f64 y #s(literal -1544914816173175/4611686018427387904 binary64)) (not (<=.f64 y #s(literal 9200000000000000472911277291184041492480 binary64)))) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z y)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #s(approx (+ x (* (- y x) z)) (*.f64 z y))))
(if (<=.f64 z #s(literal -1 binary64)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z y))))
(if (<=.f64 z #s(literal -5342339453620755/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 z #s(literal 8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #s(approx (+ x (* (- y x) z)) (*.f64 z y))))
(if (or (<=.f64 z #s(literal -5342339453620755/242833611528216133864932738352939863330300854881517440156476551217363035650651062272 binary64)) (not (<=.f64 z #s(literal 8183476519740355/1636695303948070935006594848413799576108321023021532394741645684048066898202337277441635046162952078575443342063780035504608628272942696526664263794688 binary64)))) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z y)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z y))

soundness2.2s (39.1%)

Memory
19.6MiB live, 537.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01759
02759
111055
287455
0840055
0615
0915
13615
228615
3385015
01092714
073185
1243137
2756137
32167137
44542137
56499137
67642137
08073128
090194
1295170
2849170
32243170
45069170
57522170
08067158
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 375 to 174 computations (53.6% saved)

preprocess41.0ms (0.7%)

Memory
2.7MiB live, 78.4MiB allocated
Compiler

Compiled 508 to 126 computations (75.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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