Optimisation.CirclePacking:place from circle-packing-0.1.0.4, G

Time bar (total: 4.9s)

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 9 computations (0% saved)

sample745.0ms (15.1%)

Memory
36.0MiB live, 945.9MiB allocated
Samples
522.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 159.0ms
ival-add: 95.0ms (59.8% of total)
ival-mult: 50.0ms (31.5% of total)
ival-true: 6.0ms (3.8% of total)
exact: 5.0ms (3.1% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

explain130.0ms (2.6%)

Memory
-8.6MiB live, 123.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
00-0-(+.f64 z #s(literal 1 binary64))
00-0-y
00-0-#s(literal 1 binary64)
00-0-(+.f64 x 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
25.0ms512×0valid
Compiler

Compiled 79 to 42 computations (46.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-add: 5.0ms (52% of total)
ival-mult: 3.0ms (31.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess207.0ms (4.2%)

Memory
-26.0MiB live, 54.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02668
110864
240963
3124863
4295363
5441363
6529363
7541363
8542363
9542863
10550363
11553963
12553963
13559863
14559863
077
0107
1217
2497
3967
41827
52247
62247
02247
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
Symmetry

(sort x y)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Compiler

Compiled 7 to 7 computations (0% saved)

simplify6.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
01017
12117
24917
39617
418217
522417
622417
022417
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
x
y
(+.f64 z #s(literal 1 binary64))
z
#s(literal 1 binary64)
Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
(+.f64 z #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) z)
z
#s(literal 1 binary64)

localize20.0ms (0.4%)

Memory
-10.7MiB live, 26.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 z #s(literal 1 binary64))
accuracy0
(+.f64 x y)
accuracy0.01953125
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Samples
15.0ms256×0valid
Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-add: 5.0ms (76.5% of total)
ival-mult: 2.0ms (30.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
3 → 22
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 z #s(literal 1 binary64))
Outputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
y
(+ x y)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* z (+ x y))))
1
(+ 1 z)
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
z
(* z (+ 1 (/ 1 z)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
Calls

9 calls:

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

simplify195.0ms (4%)

Memory
9.1MiB live, 163.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05996
121996
273496
3246496
4497496
5766096
0822994
Stop Event
iter limit
node limit
Counts
22 → 19
Calls
Call 1
Inputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
y
(+ x y)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* z (+ x y))))
1
(+ 1 z)
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
z
(* z (+ 1 (/ 1 z)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
Outputs
(* y (+ 1 z))
(fma.f64 z y y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
y
(+ x y)
(+.f64 y x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(* z (+ x y))
(*.f64 (+.f64 y x) z)
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))
z
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (+.f64 y x) (-.f64 z #s(literal -1 binary64)))

rewrite176.0ms (3.6%)

Memory
4.8MiB live, 162.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
01013
14613
236713
3557013
0864613
Stop Event
iter limit
node limit
iter limit
Counts
3 → 415
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 x y)
(+.f64 z #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x)) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y x)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)))) (+.f64 (fma.f64 z z #s(literal -1 binary64)) z))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y x)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) (-.f64 x y)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) (-.f64 x y)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y x)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 y x) (-.f64 z #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) (*.f64 z (+.f64 y x))) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 #s(literal 1 binary64) z) (-.f64 x y)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64)))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 (+.f64 y x) (-.f64 z #s(literal 1 binary64))))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64)))))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 y x)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) z)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (+.f64 y x)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)))
(*.f64 (+.f64 y x) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 (-.f64 z #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 y x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x)) (-.f64 x y))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 z #s(literal 1 binary64))) (-.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (+.f64 y x) (-.f64 (+.f64 y x) (*.f64 z (+.f64 y x))) (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 z (+.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (fma.f64 z z #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) z))
(/.f64 (*.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (+.f64 y x)) (-.f64 #s(literal 1 binary64) z))
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(*.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 z z #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 z z #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))) #s(literal -1 binary64)))
(*.f64 (fma.f64 z z #s(literal -1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (/.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 z #s(literal 1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) z))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 z z #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z))) (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64))) (-.f64 z #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (-.f64 (*.f64 (*.f64 z z) (-.f64 z #s(literal 1 binary64))) (*.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 z z #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 z #s(literal 1 binary64)) (+.f64 (fma.f64 z z #s(literal 1 binary64)) (pow.f64 z #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 z #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 (+.f64 (pow.f64 z #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) z))
(/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 z #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (*.f64 z z))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 z z #s(literal -1 binary64))) (-.f64 z #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(neg.f64 (/.f64 (fma.f64 z z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)))
(neg.f64 (/.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 z z #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) z) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 z z) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64))
(fma.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (/.f64 (*.f64 z z) (-.f64 #s(literal 1 binary64) z)))
(-.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 z (/.f64 z (-.f64 z #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) z)
(+.f64 z #s(literal 1 binary64))

eval67.0ms (1.4%)

Memory
22.3MiB live, 60.2MiB allocated
Compiler

Compiled 9 092 to 1 146 computations (87.4% saved)

prune40.0ms (0.8%)

Memory
-14.1MiB live, 23.9MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4175422
Fresh000
Picked011
Done000
Total4176423
Accuracy
100.0%
Counts
423 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.4%
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
48.3%
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
56.0%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
48.7%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
52.8%
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
Compiler

Compiled 117 to 95 computations (18.8% saved)

simplify8.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ z 1) #s(literal 1 binary64))
cost-diff0
(+.f64 x y)
cost-diff0
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
cost-diff0
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) z)
cost-diff0
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
cost-diff0
(fma.f64 z y y)
cost-diff0
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
cost-diff0
(fma.f64 z x x)
cost-diff0
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
cost-diff0
(fma.f64 z x x)
cost-diff0
(+.f64 #s(literal 1 binary64) z)
cost-diff256
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
019100
030100
15598
210098
314798
421698
521698
021698
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
(+.f64 #s(literal 1 binary64) z)
#s(literal 1 binary64)
z
y
(fma.f64 z x x)
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
(fma.f64 z x x)
z
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
(fma.f64 z y y)
z
y
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) z)
(+.f64 y x)
y
x
z
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
(+.f64 x y)
x
y
#s(approx (+ z 1) #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) z)
(+.f64 z #s(literal 1 binary64))
#s(literal 1 binary64)
z
y
(fma.f64 z x x)
(fma.f64 x z x)
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 x z x))
(fma.f64 z x x)
(fma.f64 x z x)
z
x
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 y z y))
(fma.f64 z y y)
(fma.f64 y z y)
z
y
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 x y) z))
(*.f64 (+.f64 y x) z)
(*.f64 (+.f64 x y) z)
(+.f64 y x)
(+.f64 x y)
y
x
z
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
(*.f64 #s(approx (+ z 1) #s(literal 1 binary64)) (+.f64 x y))
(+.f64 x y)
x
y
#s(approx (+ z 1) #s(literal 1 binary64))
#s(literal 1 binary64)

localize70.0ms (1.4%)

Memory
-3.9MiB live, 82.5MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x y)
accuracy0.01953125
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
accuracy33.236934405102915
#s(approx (+ z 1) #s(literal 1 binary64))
accuracy0
(+.f64 y x)
accuracy0.01171875
(*.f64 (+.f64 y x) z)
accuracy30.186319004231187
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
accuracy0
(fma.f64 z y y)
accuracy28.156932463198746
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
accuracy0
(fma.f64 z x x)
accuracy32.833757014245286
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
accuracy0
(fma.f64 z x x)
accuracy0
(+.f64 #s(literal 1 binary64) z)
accuracy1.0078014904222408
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
Samples
54.0ms256×0valid
Compiler

Compiled 187 to 38 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 31.0ms (75% of total)
ival-add: 9.0ms (21.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.6%)

Memory
-20.9MiB live, 17.5MiB allocated
Counts
12 → 43
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
(+.f64 #s(literal 1 binary64) z)
(fma.f64 z x x)
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
(fma.f64 z y y)
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) z)
(+.f64 y x)
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
(+.f64 x y)
#s(approx (+ z 1) #s(literal 1 binary64))
Outputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(* y z)
(+ (* x z) (* y z))
y
(+ x y)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x z)
(* x (+ z (/ (* y z) x)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (+ (* -1 z) (* -1 (/ (* y (+ 1 z)) x))) 1)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x (* x z))
(+ x (+ (* x z) (* y (+ 1 z))))
(* y (+ 1 (+ z (+ (/ x y) (/ (* x z) y)))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ z (/ (* x z) y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (+ x (* x z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 z) 1)))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* z (+ x y))))
1
(+ 1 z)
(+ y (* y z))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
z
(* z (+ 1 (/ 1 z)))
(* z (+ x (/ x z)))
(* z (+ y (/ y z)))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
Calls

9 calls:

TimeVariablePointExpression
20.0ms
x
@inf
((+ (* (+ 1 z) y) (+ (* z x) x)) (+ 1 z) (+ (* z x) x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))
2.0ms
z
@-inf
((+ (* (+ 1 z) y) (+ (* z x) x)) (+ 1 z) (+ (* z x) x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))
1.0ms
y
@-inf
((+ (* (+ 1 z) y) (+ (* z x) x)) (+ 1 z) (+ (* z x) x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))
1.0ms
x
@-inf
((+ (* (+ 1 z) y) (+ (* z x) x)) (+ 1 z) (+ (* z x) x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))
1.0ms
z
@inf
((+ (* (+ 1 z) y) (+ (* z x) x)) (+ 1 z) (+ (* z x) x) (* (+ x y) (+ z 1)) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))

simplify158.0ms (3.2%)

Memory
4.7MiB live, 159.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120207
1443207
21344207
34022207
46752207
08289197
Stop Event
iter limit
node limit
Counts
43 → 40
Calls
Call 1
Inputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* x (+ 1 z))
(* y z)
(+ (* x z) (* y z))
y
(+ x y)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x z)
(* x (+ z (/ (* y z) x)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (- (* -1 z) 1)))
(* -1 (* x (- (+ (* -1 z) (* -1 (/ (* y (+ 1 z)) x))) 1)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x (* x z))
(+ x (+ (* x z) (* y (+ 1 z))))
(* y (+ 1 (+ z (+ (/ x y) (/ (* x z) y)))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ z (/ (* x z) y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (+ x (* x z)) y)))))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 z) 1)))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* z (+ x y))))
1
(+ 1 z)
(+ y (* y z))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
z
(* z (+ 1 (/ 1 z)))
(* z (+ x (/ x z)))
(* z (+ y (/ y z)))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
Outputs
(* y (+ 1 z))
(fma.f64 y z y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* x (+ 1 z))
(fma.f64 x z x)
(* y z)
(*.f64 y z)
(+ (* x z) (* y z))
(*.f64 (+.f64 x y) z)
y
(+ x y)
(+.f64 x y)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* x z)
(*.f64 x z)
(* x (+ z (/ (* y z) x)))
(*.f64 (+.f64 x y) z)
x
(* x (+ 1 (/ y x)))
(+.f64 x y)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 x z x)
(* -1 (* x (- (+ (* -1 z) (* -1 (/ (* y (+ 1 z)) x))) 1)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 (+.f64 x y) z)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 x y)
(+ x (* x z))
(fma.f64 x z x)
(+ x (+ (* x z) (* y (+ 1 z))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* y (+ 1 (+ z (+ (/ x y) (/ (* x z) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* y (+ z (/ (* x z) y)))
(*.f64 (+.f64 x y) z)
(* y (+ 1 (/ x y)))
(+.f64 x y)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (+ x (* x z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 y z y)
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 (+.f64 x y) z)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 x y)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
1
#s(literal 1 binary64)
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(+ y (* y z))
(fma.f64 y z y)
(* z (+ x y))
(*.f64 (+.f64 x y) z)
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
z
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* z (+ x (/ x z)))
(fma.f64 x z x)
(* z (+ y (/ y z)))
(fma.f64 y z y)
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 (+.f64 x y) z)
(* -1 (* z (+ (* -1 x) (+ (* -1 y) (* -1 (/ (+ x y) z))))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 x z x)
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 x y))
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 y z y)

rewrite252.0ms (5.1%)

Memory
13.7MiB live, 257.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01982
03082
112880
2127580
0820580
Stop Event
iter limit
node limit
iter limit
Counts
12 → 1 171
Calls
Call 1
Inputs
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
(+.f64 #s(literal 1 binary64) z)
(fma.f64 z x x)
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
(fma.f64 z y y)
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) z)
(+.f64 y x)
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
(+.f64 x y)
#s(approx (+ z 1) #s(literal 1 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x z x) #s(literal 2 binary64))) (pow.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 y x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (fma.f64 x z x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y z y) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 x z x) (-.f64 (fma.f64 x z x) (fma.f64 y z y)) (pow.f64 (fma.f64 y z y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 x y))
(pow.f64 (/.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 y x)) (-.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x z x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (fma.f64 x z x) (-.f64 (fma.f64 x z x) (fma.f64 y z y)) (pow.f64 (fma.f64 y z y) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 x z x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y z y) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 z #s(literal 1 binary64)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 z #s(literal 1 binary64)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 z #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 z #s(literal 1 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 x y))) (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 x y))) (neg.f64 (-.f64 z #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 x y))) (neg.f64 (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 x y))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (-.f64 #s(literal 1 binary64) z)))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (-.f64 z #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 x y) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x z (fma.f64 y z y)) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (fma.f64 x z (fma.f64 y z y)) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x z x) #s(literal 2 binary64)) (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (fma.f64 x z x) (fma.f64 y z y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (pow.f64 (+.f64 x y) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x z (fma.f64 y z y)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x z (fma.f64 y z y)) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 x z (fma.f64 y z y)) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 x y) z) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 x y) z) (+.f64 x y))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y z y) #s(literal 2 binary64)) (pow.f64 (fma.f64 x z x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (+.f64 z #s(literal 1 binary64)) (-.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x z x) #s(literal 3 binary64)) (pow.f64 (fma.f64 y z y) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 x z x) (-.f64 (fma.f64 x z x) (fma.f64 y z y)) (pow.f64 (fma.f64 y z y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (*.f64 (-.f64 y x) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 y x) (-.f64 z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 y x) (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 y x) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (*.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (*.f64 (-.f64 x y) (-.f64 z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 x y) (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 x y) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 z z)))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 #s(literal 1 binary64) z))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (-.f64 z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 z z #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (-.f64 z #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (fma.f64 z z (-.f64 #s(literal 1 binary64) z)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 z #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (*.f64 (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (*.f64 (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 z (-.f64 z #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (*.f64 (fma.f64 z z (-.f64 #s(literal 1 binary64) z)) (fma.f64 x (-.f64 x y) (*.f64 y y)))))
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(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 x y) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 x y) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 x #s(literal 1 binary64) (*.f64 y #s(literal 1 binary64)))
(fma.f64 y #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (*.f64 #s(literal 1 binary64) y))
(fma.f64 #s(literal 1 binary64) y (*.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) y))
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) x))
(+.f64 x y)
(+.f64 y x)
#s(approx (+ z 1) #s(literal 1 binary64))

eval430.0ms (8.7%)

Memory
8.0MiB live, 204.3MiB allocated
Compiler

Compiled 44 781 to 3 321 computations (92.6% saved)

prune55.0ms (1.1%)

Memory
-22.7MiB live, 53.6MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New1 15731 160
Fresh000
Picked145
Done011
Total1 15881 166
Accuracy
100.0%
Counts
1 166 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
48.3%
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
51.3%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
56.0%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
48.7%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
52.8%
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
30.5%
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
27.6%
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
Compiler

Compiled 101 to 78 computations (22.8% saved)

simplify7.0ms (0.2%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x z)
cost-diff0
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
cost-diff192
(fma.f64 z y (*.f64 x z))
cost-diff0
(*.f64 y z)
cost-diff0
#s(approx (* (+ y x) z) (*.f64 y z))
cost-diff0
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
cost-diff0
(*.f64 x z)
cost-diff0
#s(approx (* (+ y x) z) (*.f64 x z))
cost-diff0
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01788
02188
13786
25686
39186
418386
522386
622386
022386
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ y x) z) (*.f64 x z))
(*.f64 x z)
x
z
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ y x) z) (*.f64 y z))
(*.f64 y z)
y
z
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
(fma.f64 z y (*.f64 x z))
z
y
(*.f64 x z)
x
Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
#s(approx (* (+ y x) z) (*.f64 x z))
#s(approx (* (+ y x) z) (*.f64 z x))
(*.f64 x z)
(*.f64 z x)
x
z
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#s(approx (* (+ y x) z) (*.f64 y z))
#s(approx (* (+ y x) z) (*.f64 z y))
(*.f64 y z)
(*.f64 z y)
y
z
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))
(fma.f64 z y (*.f64 x z))
(*.f64 z (+.f64 y x))
z
y
(*.f64 x z)
(*.f64 z x)
x

localize30.0ms (0.6%)

Memory
13.2MiB live, 13.2MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x z)
accuracy1.0078014904222408
(fma.f64 z y (*.f64 x z))
accuracy30.186319004231187
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
accuracy0
(*.f64 y z)
accuracy26.48782101311358
#s(approx (* (+ y x) z) (*.f64 y z))
accuracy30.186319004231187
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
accuracy0
(*.f64 x z)
accuracy30.186319004231187
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
accuracy31.756802794570415
#s(approx (* (+ y x) z) (*.f64 x z))
Samples
22.0ms256×0valid
Compiler

Compiled 144 to 32 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-mult: 7.0ms (58.2% of total)
ival-add: 5.0ms (41.6% 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
7.8MiB live, 7.8MiB allocated
Counts
8 → 20
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ y x) z) (*.f64 x z))
(*.f64 x z)
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ y x) z) (*.f64 y z))
(*.f64 y z)
(fma.f64 z y (*.f64 x z))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
Outputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* y z)
(+ (* x z) (* y z))
(* x z)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ z (/ (* y z) x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ z (/ (* x z) y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(+ x y)
(+ x (+ y (* z (+ x y))))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
Calls

9 calls:

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

simplify210.0ms (4.3%)

Memory
-3.0MiB live, 80.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065110
1252110
2794110
32697110
45209110
08119108
Stop Event
iter limit
node limit
Counts
20 → 20
Calls
Call 1
Inputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* y z)
(+ (* x z) (* y z))
(* x z)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x (+ z (/ (* y z) x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ z (/ (* x z) y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(+ x y)
(+ x (+ y (* z (+ x y))))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 y))))
Outputs
(* y (+ 1 z))
(fma.f64 z y y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y z)
(*.f64 z y)
(+ (* x z) (* y z))
(*.f64 z (+.f64 y x))
(* x z)
(*.f64 z x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* x (+ z (/ (* y z) x)))
(*.f64 z (+.f64 y x))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(*.f64 z (+.f64 y x))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ z (/ (* x z) y)))
(*.f64 z (+.f64 y x))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(*.f64 z (+.f64 y x))
(+ x y)
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 x) (* -1 y))))
(*.f64 z (+.f64 y x))

rewrite218.0ms (4.4%)

Memory
0.9MiB live, 153.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01778
02178
18276
266076
0859676
Stop Event
iter limit
node limit
iter limit
Counts
8 → 113
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ y x) z) (*.f64 x z))
(*.f64 x z)
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ y x) z) (*.f64 y z))
(*.f64 y z)
(fma.f64 z y (*.f64 x z))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
#s(approx (* (+ y x) z) (*.f64 z x))
(*.f64 (*.f64 z x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z x))
(*.f64 z x)
(*.f64 x z)
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#s(approx (* (+ y x) z) (*.f64 z y))
(*.f64 (*.f64 z y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 z y))
(*.f64 z y)
(*.f64 y z)
(*.f64 (/.f64 (*.f64 z (+.f64 y x)) z) (/.f64 (*.f64 z (-.f64 y x)) (-.f64 y x)))
(*.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) z)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z)) (pow.f64 (-.f64 x y) #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 x (-.f64 x y) (*.f64 y y)) #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 (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 x y)) (pow.f64 (-.f64 x y) #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 x (-.f64 x y) (*.f64 y y)) #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 (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 z (+.f64 y x)) (*.f64 z (-.f64 x y))) (/.f64 #s(literal 1 binary64) (*.f64 z (-.f64 x y))))
(*.f64 (*.f64 (neg.f64 (*.f64 z (+.f64 y x))) (*.f64 z (-.f64 y x))) (/.f64 #s(literal 1 binary64) (*.f64 (neg.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))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
(*.f64 (*.f64 z (+.f64 y x)) (*.f64 (*.f64 z (-.f64 y x)) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal -1 binary64))))
(*.f64 (*.f64 z (+.f64 y x)) #s(literal 1 binary64))
(*.f64 (*.f64 (*.f64 (*.f64 z (+.f64 y x)) z) (-.f64 y x)) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) z))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) z))
(*.f64 (fma.f64 (*.f64 (*.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (*.f64 (*.f64 z (+.f64 y x)) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64))))
(*.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 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) y) (-.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)))) (pow.f64 (fma.f64 (*.f64 (*.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) z))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) z))
(*.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))
(*.f64 z (+.f64 y x))
(*.f64 (+.f64 y x) z)
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 z (+.f64 y x)) z) (-.f64 y x)) #s(literal 1 binary64)) (*.f64 z (-.f64 y x)))
(/.f64 (*.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 (*.f64 z (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (*.f64 z (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 z (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 z (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))) (*.f64 (/.f64 (pow.f64 (*.f64 z x) #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 (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 (pow.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) (fma.f64 (/.f64 (pow.f64 (*.f64 z x) #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 (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 (neg.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) z))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.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 (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.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 (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 z (+.f64 y x)) (*.f64 z (-.f64 x y)))) (neg.f64 (*.f64 z (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 z (+.f64 y x))) (*.f64 z (-.f64 y x)))) (neg.f64 (*.f64 (neg.f64 z) (-.f64 y x))))
(/.f64 (neg.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 (neg.f64 (fma.f64 (*.f64 (*.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) (*.f64 (*.f64 z (-.f64 y x)) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) (*.f64 (*.f64 z (-.f64 y x)) (*.f64 z (-.f64 y x))))
(/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) z)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (*.f64 z (+.f64 y x)) (-.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y)))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 z (+.f64 y x)) (*.f64 z (-.f64 x y))) (*.f64 z (-.f64 x y)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x)))))
(/.f64 (*.f64 (neg.f64 (*.f64 z (+.f64 y x))) (*.f64 z (-.f64 y x))) (*.f64 (neg.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 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) y) (-.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 (fma.f64 (*.f64 (*.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (*.f64 z (+.f64 y x)) z) (-.f64 y x)) (*.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 x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) y) (-.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)))) (fma.f64 (*.f64 (*.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x 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 (*.f64 z (+.f64 y x)) (-.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 z (+.f64 y x)) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x 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 x y)) (*.f64 (*.f64 z (+.f64 y x)) (*.f64 z (-.f64 x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z z) y) (-.f64 y x))) (*.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 (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 z (+.f64 y x))))
(/.f64 z (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (*.f64 z (+.f64 y x))) (*.f64 z (-.f64 y x))) (*.f64 z (-.f64 y x))))
(neg.f64 (/.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))))) (fma.f64 (*.f64 (*.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 z (+.f64 y x)) z) (-.f64 y x)) (*.f64 (neg.f64 z) (-.f64 y x))))
(neg.f64 (/.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 (fma.f64 (*.f64 (*.f64 z z) x) (-.f64 x y) (pow.f64 (*.f64 z y) #s(literal 2 binary64))))))
(fma.f64 (/.f64 (*.f64 (*.f64 y y) z) z) (/.f64 z (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 (*.f64 z z) y) z) (/.f64 y (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) z) (/.f64 (*.f64 z z) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 z z) z) (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 z y) z) (/.f64 (*.f64 z y) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))))
(fma.f64 (/.f64 z z) (/.f64 (*.f64 (*.f64 y y) z) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))))
(fma.f64 (/.f64 y z) (/.f64 (*.f64 (*.f64 z z) y) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))))
(fma.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))))
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 z x))
(fma.f64 (*.f64 z x) #s(literal 1 binary64) (*.f64 z y))
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 z x))
(fma.f64 #s(literal 1 binary64) (*.f64 z x) (*.f64 z y))
(fma.f64 z y (*.f64 z x))
(fma.f64 z x (*.f64 z y))
(fma.f64 y z (*.f64 z x))
(fma.f64 x z (*.f64 z y))
(-.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 x y))) (/.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (-.f64 x 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 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 z (-.f64 y x))) (neg.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 z (-.f64 y x)))))
(+.f64 (*.f64 z y) (*.f64 z x))
(+.f64 (*.f64 z x) (*.f64 z y))
#s(approx (* (+ x y) (+ z 1)) (*.f64 z (+.f64 y x)))

eval13.0ms (0.3%)

Memory
0.1MiB live, 38.4MiB allocated
Compiler

Compiled 3 152 to 400 computations (87.3% saved)

prune5.0ms (0.1%)

Memory
12.7MiB live, 12.7MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New1241125
Fresh000
Picked033
Done145
Total1258133
Accuracy
100.0%
Counts
133 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
51.3%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
56.0%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
48.7%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
48.3%
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
52.8%
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
30.5%
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
27.6%
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
Compiler

Compiled 103 to 78 computations (24.3% saved)

simplify34.0ms (0.7%)

Memory
-29.8MiB live, 8.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
01016
12116
24916
39616
418216
522216
622216
022216
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)
y
x
Outputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)
y
x

localize17.0ms (0.3%)

Memory
30.0MiB live, 30.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 y x)
accuracy33.06709924677573
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
Samples
12.0ms256×0valid
Compiler

Compiled 30 to 19 computations (36.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 4.0ms (72.3% of total)
ival-mult: 2.0ms (36.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
2 → 18
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)
Outputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
y
(+ x y)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* z (+ x y))))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
Calls

9 calls:

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

simplify170.0ms (3.4%)

Memory
-24.3MiB live, 197.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05688
120888
272488
3230488
4488788
5729688
0828386
Stop Event
iter limit
node limit
Counts
18 → 16
Calls
Call 1
Inputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
y
(+ x y)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+ x (+ y (* z (+ x y))))
(* z (+ x y))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
Outputs
(* y (+ 1 z))
(fma.f64 z y y)
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
y
(+ x y)
(+.f64 y x)
(* x (+ 1 z))
(fma.f64 z x x)
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))

rewrite214.0ms (4.3%)

Memory
4.2MiB live, 162.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
01014
15414
250514
3652914
0867414
Stop Event
iter limit
node limit
iter limit
Counts
2 → 107
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(+.f64 y x)
Outputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.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))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (-.f64 x y) x)))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x y) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x y) x) (-.f64 (*.f64 (-.f64 x y) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y)))
(*.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x))
(*.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 y x) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (*.f64 (-.f64 y x) (+.f64 y x)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (-.f64 x y) (+.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (pow.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (neg.f64 (-.f64 x y)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x)))
(*.f64 (+.f64 y x) (/.f64 (-.f64 x y) (-.f64 x y)))
(*.f64 (+.f64 y x) (*.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 y y (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (-.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 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1 binary64)) (neg.f64 (-.f64 y x)))
(/.f64 (*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) #s(literal 1 binary64)) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (-.f64 y x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))) (*.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))) (fma.f64 y (/.f64 y (-.f64 y x)) (*.f64 x (/.f64 x (-.f64 y x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y)))) (*.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))) (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal -3 binary64))) (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal -3 binary64)))) (fma.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))) (fma.f64 (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))) (*.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal -3 binary64))) (*.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal -3 binary64)))) (fma.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 x (/.f64 x (-.f64 x y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))) (*.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.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 (-.f64 x y) (+.f64 y x)))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.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 (-.f64 y x) y (*.f64 x 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 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x))))
(/.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 (-.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) y (*.f64 x x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (-.f64 x y) (fma.f64 (*.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (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) y (*.f64 x x)) (-.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 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (neg.f64 (-.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 (-.f64 y x) y (*.f64 x x))))
(/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 x y))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(/.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)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (-.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 x y)))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(neg.f64 (/.f64 (*.f64 (-.f64 y x) (+.f64 y x)) (neg.f64 (-.f64 y x))))
(neg.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 x x) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(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 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 y (/.f64 y (-.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 y x)))))
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x #s(literal 1 binary64) y)
(-.f64 (*.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(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 x (/.f64 x (-.f64 x y))) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)

eval13.0ms (0.3%)

Memory
-9.5MiB live, 29.3MiB allocated
Compiler

Compiled 3 009 to 426 computations (85.8% saved)

prune7.0ms (0.1%)

Memory
-22.7MiB live, 16.1MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New1120112
Fresh000
Picked011
Done077
Total1128120
Accuracy
100.0%
Counts
120 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
51.3%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
56.0%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
48.7%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
48.3%
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
52.8%
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
30.5%
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
27.6%
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
Compiler

Compiled 224 to 111 computations (50.4% saved)

regimes24.0ms (0.5%)

Memory
21.5MiB live, 60.6MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 1 binary64) z) y (fma.f64 z x x))
Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Calls

6 calls:

5.0ms
y
4.0ms
x
4.0ms
(+.f64 x y)
4.0ms
z
4.0ms
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1z
100.0%1(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
100.0%1(+.f64 x y)
100.0%1(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes56.0ms (1.1%)

Memory
-5.5MiB live, 38.2MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y (*.f64 x z)))
Outputs
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
Calls

6 calls:

40.0ms
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
3.0ms
y
3.0ms
x
3.0ms
(+.f64 x y)
3.0ms
z
Results
AccuracySegmentsBranch
85.8%2x
84.4%2y
97.4%3z
85.1%4(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
98.6%2(+.f64 x y)
97.4%3(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes51.0ms (1%)

Memory
-13.2MiB live, 25.9MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
Outputs
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
Calls

6 calls:

40.0ms
y
2.0ms
(+.f64 x y)
2.0ms
x
2.0ms
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
2.0ms
z
Results
AccuracySegmentsBranch
65.8%3(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
69.6%4y
71.2%4x
78.1%3z
78.1%3(+.f64 z #s(literal 1 binary64))
76.9%4(+.f64 x y)
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes4.0ms (0.1%)

Memory
7.9MiB live, 7.9MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))
Calls

2 calls:

2.0ms
z
2.0ms
(+.f64 z #s(literal 1 binary64))
Results
AccuracySegmentsBranch
78.0%3z
78.0%3(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes5.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))
Calls

3 calls:

2.0ms
z
2.0ms
(+.f64 x y)
1.0ms
(+.f64 z #s(literal 1 binary64))
Results
AccuracySegmentsBranch
54.2%3(+.f64 x y)
72.7%3z
72.7%3(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes19.0ms (0.4%)

Memory
-17.2MiB live, 20.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

6 calls:

1.0ms
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
1.0ms
(+.f64 x y)
1.0ms
x
1.0ms
z
1.0ms
y
Results
AccuracySegmentsBranch
48.3%1(+.f64 x y)
48.3%1(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
48.3%1y
48.3%1x
48.3%1z
48.3%1(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.3879766921689385e-239
2.71793198914753e-284
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4349800826781822
2322.6176850979623
0.0ms
-676898106543.5714
0.9995830492323207
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.4349800826781822
2322.6176850979623
0.0ms
-676898106543.5714
0.9995830492323207
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.2158649107177487e+70
5.361543149381949e+70
0.0ms
-676898106543.5714
0.9995830492323207
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify26.0ms (0.5%)

Memory
21.7MiB live, 58.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038214
146214
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -2346099009001469/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -500000000000 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -500000000000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -500000000000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 20000000000000001450628727630584702523167488192930439110364203109580800 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) z) (+.f64 y x))
(if (<=.f64 (+.f64 x y) #s(literal -2346099009001469/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 y x) #s(literal -2346099009001469/117304950450073441093299338992332138457996243649210992760592177980666118165925495436678284352817677825758656549761022853424729541660972550965022826666248518125620733165482852770884817967017897067499683873717228533661411547573197142488509591988118713532416 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y)))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -500000000000 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -500000000000 binary64)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x)) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -500000000000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 y z)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -500000000000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -500000000000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 20000000000000001450628727630584702523167488192930439110364203109580800 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 x z)))))
(if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -500000000000 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x))) (if (<=.f64 (+.f64 #s(literal 1 binary64) z) #s(literal 20000000000000001450628727630584702523167488192930439110364203109580800 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

soundness1.1s (22.5%)

Memory
16.8MiB live, 482.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05996
121996
273496
3246496
4497496
5766096
0822994
065110
1252110
2794110
32697110
45209110
08119108
0120207
1443207
21344207
34022207
46752207
08289197
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 278 to 130 computations (53.2% saved)

preprocess92.0ms (1.9%)

Memory
-2.9MiB live, 85.1MiB allocated
Remove

(sort x y)

Compiler

Compiled 470 to 118 computations (74.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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