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)

sample827.0ms (14.8%)

Memory
24.7MiB live, 810.4MiB allocated
Samples
500.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-mult: 79.0ms (37.6% of total)
ival-sub: 69.0ms (32.8% of total)
ival-add: 53.0ms (25.2% of total)
ival-true: 6.0ms (2.9% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain70.0ms (1.2%)

Memory
-13.5MiB live, 70.0MiB 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
28.0ms512×0valid
Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (33.5% of total)
ival-mult: 3.0ms (33.5% of total)
ival-add: 2.0ms (22.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess89.0ms (1.6%)

Memory
7.7MiB live, 44.7MiB 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
0.4MiB live, 0.4MiB 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)

simplify18.0ms (0.3%)

Memory
15.6MiB live, 15.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 y x)
cost-diff0
(*.f64 (-.f64 y x) z)
cost-diff1
(+.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

localize60.0ms (1.1%)

Memory
-19.6MiB live, 17.9MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y x)
accuracy0.00390625
(*.f64 (-.f64 y x) z)
accuracy0.01171875
(+.f64 x (*.f64 (-.f64 y x) z))
Samples
56.0ms256×0valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 5.0ms (63.4% of total)
ival-mult: 2.0ms (25.4% of total)
ival-add: 1.0ms (12.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.5MiB live, 8.5MiB 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
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
x
@inf
((+ x (* (- y x) z)) (* (- y x) z) (- y x))
1.0ms
y
@-inf
((+ x (* (- y x) z)) (* (- y x) z) (- y x))
1.0ms
y
@inf
((+ x (* (- y x) z)) (* (- y x) z) (- y x))

simplify207.0ms (3.7%)

Memory
-22.2MiB live, 145.5MiB 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)

rewrite242.0ms (4.3%)

Memory
21.3MiB live, 260.7MiB 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))

eval67.0ms (1.2%)

Memory
-25.9MiB live, 51.2MiB allocated
Compiler

Compiled 6 918 to 970 computations (86% saved)

prune4.0ms (0.1%)

Memory
15.0MiB live, 15.0MiB 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)
98.4%
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
59.6%
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
44.9%
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify19.0ms (0.3%)

Memory
21.9MiB live, 21.9MiB 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-diff2
(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

localize42.0ms (0.7%)

Memory
-27.0MiB live, 53.8MiB 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
(neg.f64 x)
accuracy0.9999889904222409
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
accuracy0.0
(-.f64 #s(literal 1 binary64) z)
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) z) x)
accuracy25.864244964196256
#s(approx (+ x (* (- y x) z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x))
accuracy0.0
(*.f64 z y)
accuracy35.252743788067406
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Samples
33.0ms256×0valid
Compiler

Compiled 66 to 17 computations (74.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (37.1% of total)
ival-add: 4.0ms (24.7% of total)
ival-sub: 3.0ms (18.5% of total)
ival-neg: 3.0ms (18.5% 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
22.6MiB live, 22.6MiB 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
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))
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))

simplify107.0ms (1.9%)

Memory
3.9MiB live, 81.3MiB 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)

rewrite397.0ms (7.1%)

Memory
-33.2MiB live, 165.5MiB 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))

eval54.0ms (1%)

Memory
11.2MiB live, 55.1MiB allocated
Compiler

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

prune6.0ms (0.1%)

Memory
16.0MiB live, 16.0MiB 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)
98.4%
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
67.6%
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
59.6%
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
28.0%
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
34.2%
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
44.9%
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Compiler

Compiled 85 to 63 computations (25.9% saved)

simplify40.0ms (0.7%)

Memory
-21.1MiB live, 16.2MiB 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

localize63.0ms (1.1%)

Memory
2.8MiB live, 39.7MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 y x)
accuracy0.00390625
(*.f64 z (-.f64 y x))
accuracy20.709463395195733
#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)
accuracy25.864244964196256
#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)
accuracy25.864244964196256
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
accuracy31.31053461688785
#s(approx (- 1 z) (neg.f64 z))
accuracy0.00390625
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)
accuracy25.864244964196256
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
accuracy31.566866630846224
#s(approx (- 1 z) #s(literal 1 binary64))
Samples
27.0ms256×0valid
Compiler

Compiled 76 to 18 computations (76.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 7.0ms (45.1% of total)
ival-sub: 3.0ms (19.3% of total)
ival-add: 3.0ms (19.3% of total)
ival-neg: 2.0ms (12.9% 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
9.3MiB live, 9.3MiB 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
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
@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))

simplify146.0ms (2.6%)

Memory
-2.7MiB live, 115.1MiB 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)

rewrite138.0ms (2.5%)

Memory
30.1MiB live, 225.1MiB 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))

eval42.0ms (0.8%)

Memory
-33.6MiB live, 54.7MiB allocated
Compiler

Compiled 5 004 to 737 computations (85.3% saved)

prune5.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB 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)
66.5%
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 (neg.f64 z) x (*.f64 z y)))
67.6%
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
59.6%
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
28.0%
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
34.2%
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
44.9%
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Compiler

Compiled 95 to 69 computations (27.4% saved)

simplify24.0ms (0.4%)

Memory
-16.1MiB live, 22.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 z y)
cost-diff0
(neg.f64 z)
cost-diff0
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 (neg.f64 z) x (*.f64 z y)))
cost-diff2
(fma.f64 (neg.f64 z) x (*.f64 z y))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01233
01633
13429
25726
39926
415326
526426
642726
760026
865726
966026
066025
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 (neg.f64 z) x (*.f64 z y)))
(fma.f64 (neg.f64 z) x (*.f64 z y))
(neg.f64 z)
z
x
(*.f64 z y)
y
Outputs
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 (neg.f64 z) x (*.f64 z y)))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 (-.f64 y x) z))
(fma.f64 (neg.f64 z) x (*.f64 z y))
(*.f64 (-.f64 y x) z)
(neg.f64 z)
z
x
(*.f64 z y)
(*.f64 y z)
y

localize24.0ms (0.4%)

Memory
4.8MiB live, 43.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z y)
accuracy0.0
(neg.f64 z)
accuracy0.7578042428166806
(fma.f64 (neg.f64 z) x (*.f64 z y))
accuracy20.709463395195733
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 (neg.f64 z) x (*.f64 z y)))
Samples
19.0ms256×0valid
Compiler

Compiled 28 to 13 computations (53.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-mult: 5.0ms (48.8% of total)
ival-add: 3.0ms (29.3% of total)
ival-neg: 2.0ms (19.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
4 → 23
Calls
Call 1
Inputs
(fma.f64 (neg.f64 z) x (*.f64 z y))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 (neg.f64 z) x (*.f64 z y)))
(neg.f64 z)
(*.f64 z y)
Outputs
(* y z)
(+ (* -1 (* x z)) (* y z))
(+ (* x (+ 1 (* -1 z))) (* y z))
(* -1 (* x z))
(* 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))))
(* -1 z)
(* 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
z
@inf
((+ (* (neg z) x) (* z y)) (+ (* z y) (+ (* (neg x) z) x)) (neg z) (* z y))
1.0ms
z
@-inf
((+ (* (neg z) x) (* z y)) (+ (* z y) (+ (* (neg x) z) x)) (neg z) (* z y))
1.0ms
z
@0
((+ (* (neg z) x) (* z y)) (+ (* z y) (+ (* (neg x) z) x)) (neg z) (* z y))
1.0ms
y
@-inf
((+ (* (neg z) x) (* z y)) (+ (* z y) (+ (* (neg x) z) x)) (neg z) (* z y))
0.0ms
x
@inf
((+ (* (neg z) x) (* z y)) (+ (* z y) (+ (* (neg x) z) x)) (neg z) (* z y))

simplify109.0ms (1.9%)

Memory
7.2MiB live, 124.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063160
1220123
2658123
31782123
44601123
57095123
08231114
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))
(* 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))))
(* -1 z)
(* 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)
(* 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)
(* -1 z)
(neg.f64 z)
(* 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)

rewrite163.0ms (2.9%)

Memory
19.1MiB live, 247.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01230
01630
16926
260723
0826722
Stop Event
iter limit
node limit
iter limit
Counts
4 → 108
Calls
Call 1
Inputs
(fma.f64 (neg.f64 z) x (*.f64 z y))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 (neg.f64 z) x (*.f64 z y)))
(neg.f64 z)
(*.f64 z y)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64)))) (fma.f64 (*.f64 y z) (*.f64 (-.f64 y x) z) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 6 binary64)) (pow.f64 (*.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z)) (-.f64 (*.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (*.f64 (-.f64 y x) z))
(*.f64 (-.f64 y x) z)
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y z (*.f64 x z))))
(*.f64 (pow.f64 (*.f64 (neg.f64 z) (+.f64 x y)) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) z))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 z) (+.f64 x y)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
(*.f64 (*.f64 (-.f64 y x) z) (/.f64 (*.f64 (neg.f64 z) (+.f64 x y)) (*.f64 (neg.f64 z) (+.f64 x y))))
(*.f64 (*.f64 (-.f64 y x) z) (*.f64 (*.f64 (neg.f64 z) (+.f64 x y)) (pow.f64 (*.f64 (neg.f64 z) (+.f64 x y)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))) (pow.f64 (*.f64 (neg.f64 z) (+.f64 x y)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 y x) z) (fma.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
(*.f64 (fma.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 y x) z) (pow.f64 (fma.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 z (-.f64 y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) z)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 4 binary64))) (pow.f64 (*.f64 (neg.f64 z) (+.f64 x y)) #s(literal -1 binary64))) (*.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 6 binary64)) (pow.f64 (*.f64 y z) #s(literal 6 binary64))) (pow.f64 (*.f64 (neg.f64 z) (+.f64 x y)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 6 binary64)) (pow.f64 (*.f64 y z) #s(literal 6 binary64))) (pow.f64 (fma.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z) (pow.f64 (*.f64 x z) #s(literal 2 binary64))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))))
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(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y z (*.f64 x z))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (pow.f64 (*.f64 y z) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 z) (+.f64 x y)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 x z) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z) (pow.f64 (*.f64 x z) #s(literal 2 binary64))))))
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 4 binary64)) (pow.f64 (*.f64 y z) #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 z z) (fma.f64 x x (*.f64 y y))) (*.f64 (neg.f64 z) (+.f64 x y))))
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 9 binary64)) (pow.f64 (*.f64 y z) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 x) z) #s(literal 6 binary64)) (pow.f64 (*.f64 y z) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y (neg.f64 z)) z) x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y z (*.f64 x z)) (*.f64 y z) (pow.f64 (*.f64 x z) #s(literal 2 binary64)))))
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(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 x z) (*.f64 y z)))
(-.f64 (*.f64 y z) (*.f64 x z))
(+.f64 (/.f64 (pow.f64 (*.f64 x z) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (+.f64 x y))) (neg.f64 (/.f64 (pow.f64 (*.f64 y z) #s(literal 2 binary64)) (*.f64 (neg.f64 z) (+.f64 x y)))))
(+.f64 (*.f64 (neg.f64 x) z) (*.f64 y z))
(+.f64 (*.f64 y z) (*.f64 (neg.f64 x) z))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 (-.f64 y x) z))
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))
(*.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))
(*.f64 #s(literal -1 binary64) z)
(*.f64 z #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 z z))) (neg.f64 z))
(/.f64 (neg.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (neg.f64 (*.f64 z z)))
(/.f64 (neg.f64 (*.f64 z z)) (-.f64 #s(literal 0 binary64) (neg.f64 z)))
(/.f64 (neg.f64 (*.f64 z z)) z)
(/.f64 #s(literal 1 binary64) (/.f64 z (neg.f64 (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (pow.f64 (neg.f64 z) #s(literal 3 binary64))))
(/.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)) (*.f64 z z))
(neg.f64 z)
(fma.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 z) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 z z)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64))
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)))
(-.f64 #s(literal 0 binary64) z)
(+.f64 #s(literal 0 binary64) (neg.f64 z))
(+.f64 (neg.f64 z) #s(literal 0 binary64))
(*.f64 y z)
(*.f64 z y)

eval14.0ms (0.2%)

Memory
-20.8MiB live, 29.2MiB allocated
Compiler

Compiled 3 829 to 418 computations (89.1% saved)

prune5.0ms (0.1%)

Memory
15.1MiB live, 15.0MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1140114
Fresh000
Picked011
Done066
Total1147121
Accuracy
100.0%
Counts
121 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (-.f64 y x) z x)
66.5%
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (fma.f64 (neg.f64 z) x (*.f64 z y)))
67.6%
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
59.6%
#s(approx (+ x (* (- y x) z)) (fma.f64 (neg.f64 x) z x))
28.0%
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
34.2%
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x))
44.9%
#s(approx (+ x (* (- y x) z)) (*.f64 z y))
Compiler

Compiled 218 to 107 computations (50.9% saved)

regimes16.0ms (0.3%)

Memory
-1.0MiB live, 38.2MiB 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 (neg.f64 z) x (*.f64 z y)))
(fma.f64 z y (fma.f64 (neg.f64 x) z x))
Outputs
(fma.f64 (-.f64 y x) z x)
Calls

4 calls:

4.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
4.0ms
y
4.0ms
z
4.0ms
x
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)

regimes14.0ms (0.2%)

Memory
-10.5MiB live, 27.8MiB 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 #s(approx (- 1 z) #s(literal 1 binary64)) x))
#s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x)))
Calls

4 calls:

5.0ms
z
3.0ms
y
2.0ms
x
2.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
Results
AccuracySegmentsBranch
81.1%3x
81.3%3y
85.9%3z
72.9%3(+.f64 x (*.f64 (-.f64 y x) z))
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes7.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB 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
78.5%3x
78.6%3y
65.8%3z
Compiler

Compiled 3 to 9 computations (-200% saved)

regimes5.0ms (0.1%)

Memory
-32.1MiB live, 6.7MiB 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:

5.0ms
y
Results
AccuracySegmentsBranch
78.6%3y
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes7.0ms (0.1%)

Memory
21.9MiB live, 21.9MiB allocated
Counts
3 → 5
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 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))
#s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))
Calls

4 calls:

2.0ms
y
2.0ms
z
2.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
2.0ms
x
Results
AccuracySegmentsBranch
68.8%5z
52.9%4(+.f64 x (*.f64 (-.f64 y x) z))
57.1%3x
58.6%3y
Compiler

Compiled 10 to 15 computations (-50% saved)

regimes2.0ms (0%)

Memory
5.3MiB live, 5.3MiB 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

1 calls:

1.0ms
z
Results
AccuracySegmentsBranch
63.3%3z
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes25.0ms (0.4%)

Memory
-9.8MiB live, 41.4MiB 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:

21.0ms
x
1.0ms
(+.f64 x (*.f64 (-.f64 y x) z))
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
44.9%1(+.f64 x (*.f64 (-.f64 y x) z))
44.9%1x
44.9%1y
44.9%1z
Compiler

Compiled 10 to 15 computations (-50% saved)

bsearch28.0ms (0.5%)

Memory
-27.0MiB live, 51.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
5.492759205501824e-105
2.6052291839663755e-98
14.0ms
-1.2023275189774156e-48
-2.5355585806649265e-61
Samples
14.0ms304×0valid
Compiler

Compiled 599 to 487 computations (18.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 2.0ms (37% of total)
ival-mult: 2.0ms (37% of total)
ival-add: 1.0ms (18.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch23.0ms (0.4%)

Memory
-2.0MiB live, 36.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
6.319254382885567e+46
4.1481299879396783e+49
10.0ms
-1.1410147438847146e+27
-4.05553665485547e+23
Samples
10.0ms256×0valid
Compiler

Compiled 394 to 316 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-mult: 2.0ms (45.2% of total)
ival-sub: 1.0ms (22.6% of total)
ival-add: 1.0ms (22.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
6.319254382885567e+46
4.1481299879396783e+49
1.0ms
-1.1410147438847146e+27
-4.05553665485547e+23
Compiler

Compiled 394 to 332 computations (15.7% saved)

bsearch77.0ms (1.4%)

Memory
17.2MiB live, 58.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
3.278282124714053e+75
3.895727607332232e+80
41.0ms
4.15475874824993e-115
9.057663745242226e-114
11.0ms
-2.0949286750135297e-41
-1.718008758123529e-46
10.0ms
-1.312123517066349e+278
-9.020054237626852e+274
Samples
54.0ms528×0valid
Compiler

Compiled 885 to 738 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (32.8% of total)
ival-mult: 3.0ms (32.8% of total)
ival-add: 2.0ms (21.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
1.0ms
4.15475874824993e-115
9.057663745242226e-114
1.0ms
-2.0949286750135297e-41
-1.718008758123529e-46
Compiler

Compiled 426 to 364 computations (14.6% saved)

simplify147.0ms (2.6%)

Memory
0.2MiB live, 72.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
060243
195240
2121240
3167240
4225240
5406240
62100240
75206240
87949240
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (-.f64 y x) z x)
(if (<=.f64 z #s(literal -7067388259113537/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x))) (if (<=.f64 z #s(literal 5417775852004241/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #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 z (-.f64 y x)))))
(if (<=.f64 y #s(literal -1019999999999999942085050368 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 y #s(literal 12999999999999999434181021781497021869196547457024 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 -1019999999999999942085050368 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 y #s(literal 12999999999999999434181021781497021869196547457024 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 -8300000000000000358371975208192077600967767551998803751156631010880599462950399734190611344300075523370278246325942807526224604076372772554988441308001862619010514598022309862574999166053895390699050154376267012183901343719430134694224735039602457564986050132360683428148936704 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal -4113761393303015/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 z #s(literal 2772669694120815/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 294999999999999999420297277961201048923349410461602184846394987234362843463680 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) #s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))))))
(if (<=.f64 z #s(literal -4113761393303015/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 z #s(literal 2772669694120815/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 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 (-.f64 y x) z x)
(if (<=.f64 z #s(literal -7067388259113537/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x))) (if (<=.f64 z #s(literal 5417775852004241/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)) #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 z (-.f64 y x)))))
(if (or (<=.f64 z #s(literal -7067388259113537/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (not (<=.f64 z #s(literal 5417775852004241/9850501549098619803069760025035903451269934817616361666987073351061430442874302652853566563721228910201656997576704 binary64)))) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z (-.f64 y x))) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)))
(if (<=.f64 y #s(literal -1019999999999999942085050368 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 y #s(literal 12999999999999999434181021781497021869196547457024 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 -1019999999999999942085050368 binary64)) (not (<=.f64 y #s(literal 12999999999999999434181021781497021869196547457024 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 -1019999999999999942085050368 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 y #s(literal 12999999999999999434181021781497021869196547457024 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 -1019999999999999942085050368 binary64)) (not (<=.f64 y #s(literal 12999999999999999434181021781497021869196547457024 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 -8300000000000000358371975208192077600967767551998803751156631010880599462950399734190611344300075523370278246325942807526224604076372772554988441308001862619010514598022309862574999166053895390699050154376267012183901343719430134694224735039602457564986050132360683428148936704 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal -4113761393303015/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 z #s(literal 2772669694120815/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 294999999999999999420297277961201048923349410461602184846394987234362843463680 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) #s(approx (+ x (* (- y x) z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x))))))
(if (<=.f64 z #s(literal -8300000000000000358371975208192077600967767551998803751156631010880599462950399734190611344300075523370278246325942807526224604076372772554988441308001862619010514598022309862574999166053895390699050154376267012183901343719430134694224735039602457564986050132360683428148936704 binary64)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal -4113761393303015/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 z y)) (if (<=.f64 z #s(literal 2772669694120815/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 binary64)) #s(approx (+ (* z y) (+ (* (neg x) z) x)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (if (<=.f64 z #s(literal 294999999999999999420297277961201048923349410461602184846394987234362843463680 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) (neg.f64 z)) x))))))
(if (<=.f64 z #s(literal -4113761393303015/12855504354071922204335696738729300820177623950262342682411008 binary64)) #s(approx (+ x (* (- y x) z)) (*.f64 z y)) (if (<=.f64 z #s(literal 2772669694120815/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 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 -4113761393303015/12855504354071922204335696738729300820177623950262342682411008 binary64)) (not (<=.f64 z #s(literal 2772669694120815/346583711765101857447301773017885462929554634421977071896309947576827663475703202879996800763017447262173901370175446478621769728 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 (38.6%)

Memory
2.6MiB live, 515.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 406 to 177 computations (56.4% saved)

preprocess59.0ms (1.1%)

Memory
-1.9MiB live, 119.4MiB allocated
Compiler

Compiled 578 to 132 computations (77.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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