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

Time bar (total: 4.4s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB 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)

sample1.2s (27.9%)

Memory
24.7MiB live, 766.1MiB allocated
Samples
999.0ms8 254×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 506.0ms
ival-add: 440.0ms (87% of total)
ival-mult: 51.0ms (10.1% of total)
ival-true: 6.0ms (1.2% of total)
exact: 6.0ms (1.2% of total)
ival-assert: 3.0ms (0.6% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain119.0ms (2.7%)

Memory
-4.6MiB live, 109.2MiB 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
23.0ms512×0valid
Compiler

Compiled 62 to 32 computations (48.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (53% of total)
ival-mult: 3.0ms (31.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess171.0ms (3.8%)

Memory
16.1MiB live, 61.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02668
110864
240663
3130163
4332963
5486863
6569963
7582263
8583263
9583763
10591263
11594863
12594863
13601063
14601063
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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB 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
7.1MiB live, 7.1MiB 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)

localize46.0ms (1%)

Memory
-12.9MiB live, 25.2MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 z #s(literal 1 binary64))
accuracy0.0
(+.f64 x y)
accuracy0.00390625
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Samples
41.0ms256×0valid
Compiler

Compiled 36 to 16 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-add: 4.0ms (68.1% of total)
ival-mult: 2.0ms (34% 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
5.3MiB live, 5.3MiB 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))

simplify141.0ms (3.2%)

Memory
7.2MiB live, 135.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05996
121996
274696
3260696
4510796
5795496
0824894
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)))

rewrite166.0ms (3.7%)

Memory
-15.4MiB live, 215.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
01013
14613
236713
3559813
0870013
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))
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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))

eval46.0ms (1%)

Memory
14.8MiB live, 95.9MiB allocated
Compiler

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

prune7.0ms (0.2%)

Memory
-13.4MiB live, 24.4MiB allocated
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4184422
Fresh000
Picked011
Done000
Total4185423
Accuracy
100.0%
Counts
423 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
51.3%
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
53.4%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
49.7%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
49.6%
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
Compiler

Compiled 53 to 44 computations (17% saved)

simplify8.0ms (0.2%)

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

Found 10 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
(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
(+.f64 y x)
cost-diff0
(*.f64 (+.f64 y x) z)
cost-diff0
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01780
02580
14580
27180
312480
425480
530280
630280
030280
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) z)
(+.f64 y x)
y
x
z
#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
(*.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
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) z)
(+.f64 y x)
y
x
z
#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
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
(*.f64 #s(approx (+ z 1) #s(literal 1 binary64)) (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y
#s(approx (+ z 1) #s(literal 1 binary64))
#s(literal 1 binary64)

localize36.0ms (0.8%)

Memory
-2.3MiB live, 73.0MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x y)
accuracy0.00390625
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
accuracy31.20328338495
#s(approx (+ z 1) #s(literal 1 binary64))
accuracy0.0
(fma.f64 z y y)
accuracy29.802961268260955
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
accuracy0.0
(fma.f64 z x x)
accuracy32.16687184619584
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
accuracy0.0
(+.f64 y x)
accuracy0.0078125
(*.f64 (+.f64 y x) z)
accuracy32.22851958845096
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
Samples
25.0ms256×0valid
Compiler

Compiled 144 to 33 computations (77.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-mult: 8.0ms (56.1% of total)
ival-add: 6.0ms (42% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series13.0ms (0.3%)

Memory
-19.0MiB live, 24.5MiB allocated
Counts
10 → 37
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) z)
(+.f64 y x)
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
(fma.f64 z x x)
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
(fma.f64 z y y)
(*.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)))
(* y z)
(+ (* x z) (* y z))
y
(+ x y)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x z)
(* x (+ z (/ (* y z) x)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 z) 1)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ z (/ (* x z) y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 z) 1)))
(+ x (+ y (* z (+ x y))))
(* z (+ x y))
(+ x (* x z))
(+ y (* y z))
1
(+ 1 z)
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (/ x z)))
(* z (+ y (/ y z)))
z
(* z (+ 1 (/ 1 z)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
Calls

9 calls:

TimeVariablePointExpression
6.0ms
z
@-inf
((* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))
1.0ms
x
@inf
((* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))
1.0ms
z
@inf
((* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))
1.0ms
x
@-inf
((* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))
1.0ms
y
@-inf
((* (+ x y) (+ z 1)) (* (+ y x) z) (+ y x) (* (+ x y) (+ z 1)) (+ (* z x) x) (* (+ x y) (+ z 1)) (+ (* z y) y) (* (+ x y) (+ z 1)) (+ x y) (+ z 1))

simplify142.0ms (3.2%)

Memory
21.7MiB live, 135.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
098167
1364167
21122167
33667167
46555167
08151157
Stop Event
iter limit
node limit
Counts
37 → 34
Calls
Call 1
Inputs
(* y (+ 1 z))
(+ (* x (+ 1 z)) (* y (+ 1 z)))
(* y z)
(+ (* x z) (* y z))
y
(+ x y)
(* x (+ 1 z))
(* x (+ 1 (+ z (/ (* y (+ 1 z)) x))))
(* x z)
(* x (+ z (/ (* y z) x)))
x
(* x (+ 1 (/ y x)))
(* -1 (* x (+ (* -1 (+ 1 z)) (* -1 (/ (* y (+ 1 z)) x)))))
(* -1 (* x (+ (* -1 z) (* -1 (/ (* y z) x)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(* -1 (* x (- (* -1 z) 1)))
(* y (+ 1 (+ z (/ (* x (+ 1 z)) y))))
(* y (+ z (/ (* x z) y)))
(* y (+ 1 (/ x y)))
(* -1 (* y (+ (* -1 (+ 1 z)) (* -1 (/ (* x (+ 1 z)) y)))))
(* -1 (* y (+ (* -1 z) (* -1 (/ (* x z) y)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 z) 1)))
(+ x (+ y (* z (+ x y))))
(* z (+ x y))
(+ x (* x z))
(+ y (* y z))
1
(+ 1 z)
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(* z (+ x (/ x z)))
(* z (+ y (/ y z)))
z
(* z (+ 1 (/ 1 z)))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(* -1 (* z (+ (* -1 y) (* -1 (/ 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 z)
(*.f64 z y)
(+ (* x z) (* y z))
(*.f64 z (+.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 z)
(*.f64 z x)
(* x (+ z (/ (* y z) x)))
(*.f64 z (+.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 z) (* -1 (/ (* y z) x)))))
(*.f64 z (+.f64 y x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(* -1 (* x (- (* -1 z) 1)))
(fma.f64 z x 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))
(* 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 z) (* -1 (/ (* x z) y)))))
(*.f64 z (+.f64 y x))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)
(* -1 (* y (- (* -1 z) 1)))
(fma.f64 z y y)
(+ x (+ y (* z (+ x y))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x y))
(*.f64 z (+.f64 y x))
(+ x (* x z))
(fma.f64 z x x)
(+ y (* y z))
(fma.f64 z y y)
1
#s(literal 1 binary64)
(+ 1 z)
(-.f64 z #s(literal -1 binary64))
(* z (+ x (+ y (+ (/ x z) (/ y z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* z (+ x (/ x z)))
(fma.f64 z x x)
(* z (+ y (/ y z)))
(fma.f64 z y y)
z
(* z (+ 1 (/ 1 z)))
(-.f64 z #s(literal -1 binary64))
(* -1 (* z (+ (* -1 (+ x y)) (* -1 (/ (+ x y) z)))))
(*.f64 (-.f64 z #s(literal -1 binary64)) (+.f64 y x))
(* -1 (* z (+ (* -1 x) (* -1 (/ x z)))))
(fma.f64 z x x)
(* -1 (* z (+ (* -1 y) (* -1 (/ y z)))))
(fma.f64 z y y)

rewrite185.0ms (4.2%)

Memory
5.1MiB live, 167.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01770
02570
19870
277070
0872470
Stop Event
iter limit
node limit
iter limit
Counts
10 → 393
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (+.f64 y x) z)
(+.f64 y x)
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
(fma.f64 z x x)
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
(fma.f64 z y y)
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
(+.f64 x y)
#s(approx (+ z 1) #s(literal 1 binary64))
Outputs
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
(*.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) z)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 y x) z) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (+.f64 y x) z) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))
(*.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))
(*.f64 (*.f64 (+.f64 y x) z) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) z))
(*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (*.f64 (pow.f64 (-.f64 y x) #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 (+.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 y x) z)
(*.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) z))
(*.f64 z (+.f64 y x))
(/.f64 (*.f64 z (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 z (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.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 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 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (-.f64 (*.f64 z y) (*.f64 z x)))
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (*.f64 z y) #s(literal 2 binary64))) (-.f64 (*.f64 z x) (*.f64 z y)))
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (*.f64 z y) (*.f64 z x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) (*.f64 (*.f64 z x) (*.f64 z y)))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) z))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) z) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 y x) z) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))
(/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) z)) (-.f64 y x))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.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 (+.f64 y x) z) (-.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 (*.f64 (+.f64 y x) z) (-.f64 y x)) (-.f64 y x))
(/.f64 (*.f64 z (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x)))
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (+.f64 y x) (*.f64 (-.f64 x y) z))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (+.f64 y x) (*.f64 (-.f64 y x) 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 (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 (-.f64 x y) (*.f64 (*.f64 (+.f64 y x) z) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (*.f64 (+.f64 y x) z) (-.f64 y x))))
(/.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 (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 z (/.f64 #s(literal 1 binary64) (+.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 z y) (*.f64 z x))
(+.f64 (*.f64 z x) (*.f64 z y))
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x))))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (pow.f64 (-.f64 x y) #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 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 y x) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #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 y (-.f64 y x) (*.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))) (*.f64 (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #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 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.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 y x) (*.f64 (-.f64 x y) (pow.f64 (-.f64 x y) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) (*.f64 (-.f64 y x) (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(*.f64 (+.f64 y x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x))) (neg.f64 (-.f64 y x)))
(/.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 y (-.f64 y x) (*.f64 x x))))
(/.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 x (-.f64 x y) (*.f64 y y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x))) (neg.f64 (neg.f64 (-.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.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 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (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 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.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 (+.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (-.f64 x y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) (-.f64 y x)))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (-.f64 y x))))
(neg.f64 (/.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)))))
(neg.f64 (/.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)))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) y)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(+.f64 y x)
(+.f64 x y)
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
(*.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64))) (pow.f64 (-.f64 z #s(literal 1 binary64)) #s(literal -1 binary64)))
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(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))))
(/.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 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (*.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (neg.f64 (-.f64 x y)))
(/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) (neg.f64 (-.f64 y x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))
(/.f64 (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 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (-.f64 y x))
(/.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 (+.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 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 x y)) (-.f64 x y)))
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 y x)) (-.f64 y x)) (-.f64 y x)))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (-.f64 x y))))
(neg.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 (-.f64 y x))))
(neg.f64 (/.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)))))
(neg.f64 (/.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)))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(fma.f64 #s(literal 1 binary64) y x)
(fma.f64 #s(literal 1 binary64) x y)
(fma.f64 y #s(literal 1 binary64) x)
(fma.f64 x #s(literal 1 binary64) y)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y))))
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x))))
(+.f64 y x)
(+.f64 x y)
#s(approx (+ z 1) #s(literal 1 binary64))

eval61.0ms (1.4%)

Memory
-7.9MiB live, 76.4MiB allocated
Compiler

Compiled 8 210 to 1 053 computations (87.2% saved)

prune8.0ms (0.2%)

Memory
-18.6MiB live, 20.1MiB allocated
Pruning

7 alts after pruning (2 fresh and 5 done)

PrunedKeptTotal
New3332335
Fresh000
Picked044
Done011
Total3337340
Accuracy
100.0%
Counts
340 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
51.3%
(*.f64 (+.f64 x y) #s(approx (+ z 1) #s(literal 1 binary64)))
53.4%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
49.7%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
49.6%
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
27.7%
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
25.9%
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
Compiler

Compiled 87 to 68 computations (21.8% saved)

simplify7.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 6 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01562
01762
13262
25262
38562
417762
521962
621962
021962
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
#s(approx (* (+ y x) z) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#s(approx (* (+ y x) z) (*.f64 z y))
(*.f64 z y)
z
y
Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
#s(approx (* (+ y x) z) (*.f64 z x))
(*.f64 z x)
z
x
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#s(approx (* (+ y x) z) (*.f64 z y))
(*.f64 z y)
z
y

localize28.0ms (0.6%)

Memory
12.1MiB live, 48.7MiB allocated
Localize:

Found 6 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 z y)
accuracy28.903534695786767
#s(approx (* (+ y x) z) (*.f64 z y))
accuracy32.22851958845096
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
accuracy0.0
(*.f64 z x)
accuracy31.728651574655604
#s(approx (* (+ y x) z) (*.f64 z x))
accuracy32.22851958845096
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
Samples
19.0ms256×0valid
Compiler

Compiled 98 to 28 computations (71.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 7.0ms (64.7% of total)
ival-add: 4.0ms (37% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.8MiB live, 11.8MiB allocated
Counts
6 → 19
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
#s(approx (* (+ y x) z) (*.f64 z x))
(*.f64 z x)
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#s(approx (* (+ y x) z) (*.f64 z y))
(*.f64 z y)
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)))))
Calls

9 calls:

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

simplify114.0ms (2.6%)

Memory
-13.3MiB live, 142.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060105
1234105
2803105
32679105
46072105
08083103
Stop Event
iter limit
node limit
Counts
19 → 19
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)))))
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))

rewrite167.0ms (3.7%)

Memory
12.4MiB live, 131.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
01758
16558
250058
3650258
0857258
Stop Event
iter limit
node limit
iter limit
Counts
6 → 12
Calls
Call 1
Inputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
#s(approx (* (+ y x) z) (*.f64 z x))
(*.f64 z x)
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#s(approx (* (+ y x) z) (*.f64 z y))
(*.f64 z y)
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)

eval2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Compiler

Compiled 302 to 51 computations (83.1% saved)

prune3.0ms (0.1%)

Memory
4.4MiB live, 4.4MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New17118
Fresh000
Picked022
Done145
Total18725
Accuracy
100.0%
Counts
25 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
53.4%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
49.7%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
51.3%
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
49.6%
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
27.7%
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
25.9%
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
Compiler

Compiled 89 to 68 computations (23.6% saved)

simplify11.0ms (0.2%)

Memory
-29.3MiB live, 8.0MiB 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 (0.4%)

Memory
31.6MiB live, 31.6MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 y x)
accuracy31.1689269842338
#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 (70.5% of total)
ival-mult: 2.0ms (35.3% 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
3.3MiB live, 3.3MiB 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))

simplify139.0ms (3.1%)

Memory
-45.6MiB live, 100.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05688
120888
273688
3244188
4569488
0807886
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))

rewrite218.0ms (4.9%)

Memory
24.8MiB live, 215.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0914
01014
15414
250514
3658714
0865814
Stop Event
iter limit
node limit
iter limit
Counts
2 → 106
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 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y x) (+.f64 y x))) #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 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x y) (+.f64 y x))) #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 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 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))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x))))
(*.f64 (neg.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y))))
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(*.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 #s(literal 1 binary64) (+.f64 y x)) #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 (/.f64 #s(literal 1 binary64) (+.f64 y x))))
(/.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 (/.f64 #s(literal 1 binary64) (+.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y x)))
(neg.f64 (/.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 (/.f64 #s(literal 1 binary64) (+.f64 y x))) #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)

eval24.0ms (0.5%)

Memory
-16.0MiB live, 35.4MiB allocated
Compiler

Compiled 2 992 to 424 computations (85.8% saved)

prune5.0ms (0.1%)

Memory
11.2MiB live, 11.2MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1110111
Fresh000
Picked011
Done066
Total1117118
Accuracy
100.0%
Counts
118 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
53.4%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z y y))
49.7%
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
51.3%
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
49.6%
#s(approx (* (+ x y) (+ z 1)) (*.f64 (+.f64 y x) z))
27.7%
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
25.9%
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
Compiler

Compiled 187 to 97 computations (48.1% saved)

regimes40.0ms (0.9%)

Memory
-7.0MiB live, 32.3MiB allocated
Counts
8 → 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 z x)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#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)))
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
Calls

6 calls:

24.0ms
(+.f64 z #s(literal 1 binary64))
3.0ms
(+.f64 x y)
3.0ms
y
3.0ms
x
3.0ms
z
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)

regimes39.0ms (0.9%)

Memory
-5.8MiB live, 33.5MiB allocated
Counts
7 → 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 z x)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#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)))
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:

25.0ms
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
3.0ms
(+.f64 x y)
3.0ms
y
3.0ms
z
3.0ms
x
Results
AccuracySegmentsBranch
83.2%2x
87.3%2y
97.5%3z
87.0%4(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
98.6%2(+.f64 x y)
97.5%3(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes48.0ms (1.1%)

Memory
-9.1MiB live, 28.7MiB 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 z x)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))
Calls

6 calls:

37.0ms
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
68.1%3x
71.0%4(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
72.6%5y
76.8%3z
76.8%3(+.f64 z #s(literal 1 binary64))
79.3%5(+.f64 x y)
Compiler

Compiled 16 to 25 computations (-56.3% saved)

regimes4.0ms (0.1%)

Memory
9.2MiB live, 9.2MiB allocated
Counts
3 → 4
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 z x)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y)))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
Calls

2 calls:

2.0ms
z
2.0ms
(+.f64 z #s(literal 1 binary64))
Results
AccuracySegmentsBranch
78.3%4z
78.3%4(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 4 to 8 computations (-100% saved)

regimes4.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB 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 z x)))
Outputs
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))
#s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))
Calls

3 calls:

1.0ms
z
1.0ms
(+.f64 x y)
1.0ms
(+.f64 z #s(literal 1 binary64))
Results
AccuracySegmentsBranch
56.2%3(+.f64 x y)
73.9%3z
73.9%3(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 7 to 12 computations (-71.4% saved)

regimes54.0ms (1.2%)

Memory
-24.6MiB live, 18.0MiB 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:

48.0ms
z
1.0ms
(+.f64 z #s(literal 1 binary64))
1.0ms
x
1.0ms
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
1.0ms
y
Results
AccuracySegmentsBranch
51.3%1(+.f64 x y)
51.3%1x
51.3%1(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
51.3%1y
51.3%1z
51.3%1(+.f64 z #s(literal 1 binary64))
Compiler

Compiled 16 to 25 computations (-56.3% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.6335901426943912e-293
8.362166592765754e-198
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
1.0006323619184927
1.0023389884854714
0.0ms
-508.0431405803173
0.9593764310270537
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
1.5493636524452552e+60
4.476766543215721e+61
0.0ms
1.1265581679887804
15155.672665756525
0.0ms
-508.0431405803173
0.9593764310270537
Compiler

Compiled 10 to 13 computations (-30% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
15155.672665756525
174627.9939315543
0.0ms
-508.0431405803173
0.9593764310270537
Compiler

Compiled 10 to 13 computations (-30% saved)

simplify14.0ms (0.3%)

Memory
-15.6MiB live, 24.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044221
160221
286221
3137221
4223221
5263221
6263221
Stop Event
saturated
Calls
Call 1
Inputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 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 -500 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 4512606826625237/4503599627370496 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -500 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1999999999999999898774270594148037733927290022026820146167808 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y))) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -500 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 20000 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))
Outputs
(*.f64 (+.f64 x y) (+.f64 z #s(literal 1 binary64)))
(if (<=.f64 (+.f64 x y) #s(literal -449423283715579/44942328371557897693232629769725618340449424473557664318357520289433168951375240783177119330601884005280028469967848339414697442203604155623211857659868531094441973356216371319075554900311523529863270738021251442209537670585615720368478277635206809290837627671146574559986811484619929076208839082406056034304 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 -500 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 4512606826625237/4503599627370496 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) (fma.f64 z x x))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -500 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 1999999999999999898774270594148037733927290022026820146167808 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z y))) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x))))))
(if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -500 binary64)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x))) (if (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 20000 binary64)) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x)))))
(if (or (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal -500 binary64)) (not (<=.f64 (+.f64 z #s(literal 1 binary64)) #s(literal 20000 binary64)))) #s(approx (* (+ x y) (+ z 1)) #s(approx (* (+ y x) z) (*.f64 z x))) #s(approx (* (+ x y) (+ z 1)) (+.f64 y x)))
#s(approx (* (+ x y) (+ z 1)) (+.f64 y x))

soundness1.1s (23.9%)

Memory
12.7MiB live, 333.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060105
1234105
2803105
32679105
46072105
08083103
05996
121996
274696
3260696
4510796
5795496
0824894
098167
1364167
21122167
33667167
46555167
08151157
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 285 to 138 computations (51.6% saved)

preprocess39.0ms (0.9%)

Memory
12.3MiB live, 49.9MiB allocated
Remove

(sort x y)

Compiler

Compiled 484 to 134 computations (72.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...