Numeric.Log:$cexpm1 from log-domain-0.10.2.1, B

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

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

Compiled 9 to 7 computations (22.2% saved)

sample823.0ms (16.5%)

Memory
41.5MiB live, 578.7MiB allocated
Samples
484.0ms8 253×0valid
0.0ms2valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 241.0ms
ival-add: 151.0ms (62.8% of total)
ival-mult: 80.0ms (33.3% of total)
ival-true: 6.0ms (2.5% of total)
ival-assert: 3.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain149.0ms (3%)

Memory
4.7MiB live, 90.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 (*.f64 x y) x)
00-0-y
00-0-(+.f64 (+.f64 (*.f64 x y) x) y)
00-0-(*.f64 x y)
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
21.0ms510×0valid
0.0ms2valid
Compiler

Compiled 62 to 24 computations (61.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 5.0ms (54.4% of total)
ival-mult: 4.0ms (43.5% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess57.0ms (1.2%)

Memory
-19.8MiB live, 18.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01541
15138
216435
357035
4112835
5131335
6132335
057
087
1137
2237
3307
4387
5447
6547
7607
8647
0646
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(fma.f64 (+.f64 #s(literal 1 binary64) x) y x)
Symmetry

(sort x y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 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 (*.f64 x y) x) y)
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify4.0ms (0.1%)

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

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0517
0817
11317
22317
33017
43817
54417
65417
76017
86417
06415
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(+.f64 (*.f64 x y) x)
(*.f64 x y)
x
y
Outputs
(+.f64 (+.f64 (*.f64 x y) x) y)
(fma.f64 (+.f64 #s(literal 1 binary64) x) y x)
(+.f64 (*.f64 x y) x)
(fma.f64 y x x)
(*.f64 x y)
(*.f64 y x)
x
y

localize14.0ms (0.3%)

Memory
16.7MiB live, 16.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x y)
accuracy0.00390625
(+.f64 (+.f64 (*.f64 x y) x) y)
accuracy0.01171875
(+.f64 (*.f64 x y) x)
Samples
10.0ms255×0valid
0.0ms2valid
Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 2.0ms (43.8% of total)
ival-mult: 2.0ms (43.8% of total)
adjust: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated
Counts
3 → 16
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) x)
(+.f64 (+.f64 (*.f64 x y) x) y)
(*.f64 x y)
Outputs
(* x (+ 1 y))
y
(+ y (* x (+ 1 y)))
(* x y)
(* x (+ 1 (+ y (/ y x))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
x
(+ x (* x y))
(+ x (* y (+ 1 x)))
(* y (+ x (/ x y)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
Calls

6 calls:

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

simplify167.0ms (3.4%)

Memory
-6.5MiB live, 108.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04182
113182
234082
398782
4229182
5335182
6396882
7467582
8489082
9503382
10574582
0823569
Stop Event
iter limit
node limit
Counts
16 → 14
Calls
Call 1
Inputs
(* x (+ 1 y))
y
(+ y (* x (+ 1 y)))
(* x y)
(* x (+ 1 (+ y (/ y x))))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
x
(+ x (* x y))
(+ x (* y (+ 1 x)))
(* y (+ x (/ x y)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
Outputs
(* x (+ 1 y))
(fma.f64 y x x)
y
(+ y (* x (+ 1 y)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* x y)
(*.f64 y x)
(* x (+ 1 (+ y (/ y x))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
x
(+ x (* x y))
(fma.f64 y x x)
(+ x (* y (+ 1 x)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 (+ x (/ x y))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)

rewrite192.0ms (3.9%)

Memory
-7.2MiB live, 186.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
13815
233215
3531715
0817013
Stop Event
iter limit
node limit
iter limit
Counts
3 → 181
Calls
Call 1
Inputs
(+.f64 (*.f64 x y) x)
(+.f64 (+.f64 (*.f64 x y) x) y)
(*.f64 x y)
Outputs
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (*.f64 y x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 x (*.f64 y x)) x)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (*.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (*.f64 y x)) x) (-.f64 (*.f64 (-.f64 x (*.f64 y x)) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (fma.f64 y x x))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (pow.f64 (-.f64 x (*.f64 y x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))))
(*.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (pow.f64 (neg.f64 (-.f64 (*.f64 y x) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (/.f64 (fma.f64 y x x) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))))
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (*.f64 (fma.f64 y x x) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 y x x) (/.f64 (-.f64 (*.f64 y x) x) (-.f64 (*.f64 y x) x)))
(*.f64 (fma.f64 y x x) (*.f64 (-.f64 (*.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 y x x) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) (fma.f64 x x (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) (neg.f64 (-.f64 x (*.f64 y x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))))))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (-.f64 (*.f64 y x) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 y x) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (*.f64 (-.f64 (*.f64 y x) x) (*.f64 x x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (*.f64 y x) x) (fma.f64 x x (pow.f64 (*.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (-.f64 (*.f64 y x) x) (+.f64 (fma.f64 (*.f64 y y) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64)))))
(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (-.f64 x (*.f64 y x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 y x)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y x x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (neg.f64 (-.f64 (*.f64 y x) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))))
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (-.f64 (*.f64 y x) x))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))))
(neg.f64 (neg.f64 (fma.f64 y x x)))
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x x) x (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (fma.f64 y x x) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (-.f64 (*.f64 y x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (*.f64 (*.f64 x x) y) (/.f64 y (-.f64 (*.f64 y x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (-.f64 (*.f64 y x) x)) (neg.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x)))))
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(fma.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 x (*.f64 y x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 (-.f64 x (*.f64 y x)) x)) y)
(fma.f64 (/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 x (*.f64 y x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 x (*.f64 y x)) x) (-.f64 (*.f64 (-.f64 x (*.f64 y x)) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) y)
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 y x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 (fma.f64 y x x) y) (pow.f64 (fma.f64 y x x) #s(literal 2 binary64))) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y)))))
(fma.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)))) (+.f64 (fma.f64 y x x) y) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y)))))
(fma.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (fma.f64 y x x) y)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(fma.f64 (+.f64 #s(literal 1 binary64) y) x y)
(fma.f64 (fma.f64 x x (*.f64 (neg.f64 y) y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (*.f64 y x))
(fma.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (pow.f64 (-.f64 x (*.f64 y x)) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) y)
(fma.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) y)
(fma.f64 #s(literal 1 binary64) (fma.f64 y x x) y)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 y x))
(fma.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (pow.f64 (neg.f64 (-.f64 (*.f64 y x) x)) #s(literal -1 binary64)) y)
(fma.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))) #s(literal -1 binary64)) y)
(fma.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)) y)
(fma.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (/.f64 (fma.f64 y x x) (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x))))) y)
(fma.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) (*.f64 (fma.f64 y x x) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64))) y)
(fma.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 (*.f64 y y) x (-.f64 x (*.f64 y x)))) #s(literal -1 binary64)) y)
(fma.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (pow.f64 (-.f64 (fma.f64 y x x) y) #s(literal -1 binary64)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y)))))
(fma.f64 (fma.f64 y x x) (/.f64 (-.f64 (*.f64 y x) x) (-.f64 (*.f64 y x) x)) y)
(fma.f64 (fma.f64 y x x) (/.f64 (fma.f64 y x x) (-.f64 (fma.f64 y x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y)))))
(fma.f64 (fma.f64 y x x) (*.f64 (-.f64 (*.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) y)
(fma.f64 y x (+.f64 y x))
(fma.f64 x (+.f64 #s(literal 1 binary64) y) y)
(fma.f64 x y (+.f64 y x))
(-.f64 (+.f64 y (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x))) (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 y x) x) y)) (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 y x) x) y)))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (fma.f64 y x x))) (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 y (fma.f64 y x x))))
(-.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (-.f64 (*.f64 x (/.f64 x (-.f64 (*.f64 y x) x))) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 (fma.f64 y x x) y) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (fma.f64 y x y) x)
(+.f64 (/.f64 (pow.f64 (fma.f64 y x x) #s(literal 2 binary64)) (-.f64 (fma.f64 y x x) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 (fma.f64 y x x) y)))))
(+.f64 (+.f64 y x) (*.f64 y x))
(+.f64 (fma.f64 y x x) y)
(+.f64 (*.f64 y x) (+.f64 y x))
(+.f64 y (fma.f64 y x x))
(+.f64 x (fma.f64 y x y))
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))

eval22.0ms (0.4%)

Memory
10.5MiB live, 47.1MiB allocated
Compiler

Compiled 4 443 to 555 computations (87.5% saved)

prune3.0ms (0.1%)

Memory
12.3MiB live, 12.3MiB allocated
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1832185
Fresh000
Picked101
Done000
Total1842186
Accuracy
100.0%
Counts
186 → 2
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
62.3%
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify5.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 1 (0.0ms)

IterNodesCost
01030
01530
12729
23929
34129
45929
56229
66429
76829
06829
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
(fma.f64 y x y)
y
x
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
y
Outputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
(fma.f64 y x y)
y
x
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(+.f64 (fma.f64 y x x) y)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
y

localize57.0ms (1.1%)

Memory
-34.7MiB live, 69.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.01171875
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
accuracy0.0
(fma.f64 y x y)
accuracy24.11720483472005
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
Samples
34.0ms255×0valid
0.0ms2valid
Compiler

Compiled 59 to 23 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-add: 21.0ms (78.3% of total)
ival-mult: 5.0ms (18.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated
Counts
4 → 20
Calls
Call 1
Inputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
(fma.f64 y x y)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(+.f64 x #s(literal 1 binary64))
Outputs
y
(+ y (* x (+ 1 y)))
(+ y (* x y))
1
(+ 1 x)
(* x (+ 1 y))
(* x (+ 1 (+ y (/ y x))))
(* x y)
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(+ x (* y (+ 1 x)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))
Calls

6 calls:

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

simplify232.0ms (4.7%)

Memory
-0.6MiB live, 196.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04896
116496
243796
3124996
4292396
5380796
6419596
7448196
8463196
9471996
0861182
Stop Event
iter limit
node limit
Counts
20 → 18
Calls
Call 1
Inputs
y
(+ y (* x (+ 1 y)))
(+ y (* x y))
1
(+ 1 x)
(* x (+ 1 y))
(* x (+ 1 (+ y (/ y x))))
(* x y)
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(+ x (* y (+ 1 x)))
(* y (+ 1 x))
(* y (+ 1 (+ x (/ x y))))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))
Outputs
y
(+ y (* x (+ 1 y)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(+ y (* x y))
(fma.f64 y x y)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 (+ y (/ y x))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* x y)
(*.f64 y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(+ x (* y (+ 1 x)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 (+ x (/ x y))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)

rewrite1.2s (23.8%)

Memory
-2.6MiB live, 244.9MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01025
01525
18724
266424
0803924
Stop Event
iter limit
node limit
iter limit
Counts
4 → 334
Calls
Call 1
Inputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
(fma.f64 y x y)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(+.f64 x #s(literal 1 binary64))
Outputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x y) y (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y (*.f64 y x)) y) #s(literal 2 binary64)))) (fma.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (*.f64 (*.f64 y y) x)))
(*.f64 (/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 y (*.f64 y x)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y (*.f64 y x)) y) (-.f64 (*.f64 (-.f64 y (*.f64 y x)) y) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (fma.f64 y x y))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y))) (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y x))))
(*.f64 (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64)) (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)))
(*.f64 (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))))
(*.f64 (neg.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) y))))
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))))))
(*.f64 (*.f64 y (*.f64 (fma.f64 x x #s(literal -1 binary64)) y)) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) y))
(*.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) (/.f64 (fma.f64 y x y) (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x))))))
(*.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) (*.f64 (fma.f64 y x y) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (*.f64 y (fma.f64 (*.f64 x x) y (-.f64 y (*.f64 y x)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) y))
(*.f64 (fma.f64 y x y) (/.f64 (-.f64 (*.f64 y x) y) (-.f64 (*.f64 y x) y)))
(*.f64 (fma.f64 y x y) (*.f64 (-.f64 (*.f64 y x) y) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal 1 binary64) (fma.f64 y x y))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x y)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 y x) y) #s(literal -1 binary64))) (fma.f64 y y (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
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(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval43.0ms (0.9%)

Memory
-12.7MiB live, 98.6MiB allocated
Compiler

Compiled 8 321 to 994 computations (88.1% saved)

prune5.0ms (0.1%)

Memory
21.5MiB live, 21.5MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New3383341
Fresh000
Picked112
Done000
Total3394343
Accuracy
100.0%
Counts
343 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.0%
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
62.3%
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
61.6%
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
24.5%
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
Compiler

Compiled 49 to 31 computations (36.7% saved)

simplify46.0ms (0.9%)

Memory
-14.5MiB live, 34.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01665
02063
13563
24363
35063
45663
56663
67863
78363
88463
08461
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (* y x) y) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
(fma.f64 y x x)
y
x
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
Outputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (* y x) y) (*.f64 y x))
(*.f64 y x)
y
x
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
(fma.f64 y x x)
y
x
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x

localize41.0ms (0.8%)

Memory
-17.5MiB live, 54.1MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
accuracy30.370338088730836
#s(approx (+ x 1) #s(literal 1 binary64))
accuracy0.0
(fma.f64 y x x)
accuracy24.588363082052556
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
accuracy0.0
(*.f64 y x)
accuracy24.11720483472005
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
accuracy33.4557384971997
#s(approx (+ (* y x) y) (*.f64 y x))
Samples
28.0ms255×0valid
0.0ms2valid
Compiler

Compiled 111 to 31 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 15.0ms (74.5% of total)
ival-mult: 5.0ms (24.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
7 → 23
Calls
Call 1
Inputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (* y x) y) (*.f64 y x))
(*.f64 y x)
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
(fma.f64 y x x)
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
#s(approx (+ x 1) #s(literal 1 binary64))
Outputs
y
(+ y (* x (+ 1 y)))
(+ y (* x y))
(* x y)
(* x (+ 1 y))
1
(+ 1 x)
(* x (+ 1 (+ y (/ y x))))
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(+ x (* y (+ 1 x)))
(* y (+ 1 x))
(+ x (* x y))
(* y (+ 1 (+ x (/ x y))))
(* y (+ x (/ x y)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))
Calls

6 calls:

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

simplify224.0ms (4.5%)

Memory
19.4MiB live, 221.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052111
1182111
2479111
31285111
42981111
53877111
64260111
74546111
84697111
94785111
0821294
Stop Event
iter limit
node limit
Counts
23 → 21
Calls
Call 1
Inputs
y
(+ y (* x (+ 1 y)))
(+ y (* x y))
(* x y)
(* x (+ 1 y))
1
(+ 1 x)
(* x (+ 1 (+ y (/ y x))))
(* x (+ y (/ y x)))
x
(* x (+ 1 (/ 1 x)))
(* -1 (* x (- (* -1 y) 1)))
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(+ x (* y (+ 1 x)))
(* y (+ 1 x))
(+ x (* x y))
(* y (+ 1 (+ x (/ x y))))
(* y (+ x (/ x y)))
(* -1 (* y (- (* -1 x) 1)))
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))
Outputs
y
(+ y (* x (+ 1 y)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(+ y (* x y))
(fma.f64 y x y)
(* x y)
(*.f64 y x)
(* x (+ 1 y))
(fma.f64 y x x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* x (+ 1 (+ y (/ y x))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* x (+ y (/ y x)))
(fma.f64 y x y)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* x (- (* -1 y) 1)))
(fma.f64 y x x)
(* -1 (* x (- (+ (* -1 y) (* -1 (/ y x))) 1)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* -1 (* x (+ (* -1 y) (* -1 (/ y x)))))
(fma.f64 y x y)
(+ x (* y (+ 1 x)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* y (+ 1 x))
(fma.f64 y x y)
(+ x (* x y))
(fma.f64 y x x)
(* y (+ 1 (+ x (/ x y))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* y (+ x (/ x y)))
(fma.f64 y x x)
(* -1 (* y (- (* -1 x) 1)))
(fma.f64 y x y)
(* -1 (* y (- (+ (* -1 x) (* -1 (/ x y))) 1)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)
(* -1 (* y (+ (* -1 x) (* -1 (/ x y)))))
(fma.f64 y x x)
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) y x)

rewrite203.0ms (4.1%)

Memory
1.2MiB live, 197.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01658
02056
110156
267656
0829454
Stop Event
iter limit
node limit
iter limit
Counts
7 → 122
Calls
Call 1
Inputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (* y x) y) (*.f64 y x))
(*.f64 y x)
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
(fma.f64 y x x)
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
#s(approx (+ x 1) #s(literal 1 binary64))
Outputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (* y x) y) (*.f64 y x))
(*.f64 #s(literal 1 binary64) (*.f64 y x))
(*.f64 (*.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(*.f64 x (*.f64 #s(literal 1 binary64) y))
(*.f64 x y)
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) x)
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 y x) x))))
(*.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))))))
(*.f64 (+.f64 #s(literal 1 binary64) y) x)
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))) (*.f64 (fma.f64 y x x) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (-.f64 (*.f64 y y) y)))))
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 y x x))
(*.f64 (fma.f64 y x x) (*.f64 (-.f64 (*.f64 y x) x) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))))
(*.f64 (fma.f64 y x x) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)))
(*.f64 x (+.f64 #s(literal 1 binary64) y))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal -1 binary64))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) x) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 (*.f64 y x) x) #s(literal -1 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 3 binary64))))
(/.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x)) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (*.f64 y x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 y x) x))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))))) (neg.f64 (neg.f64 (-.f64 (*.f64 y x) x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))))))
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) #s(literal 1 binary64)) (-.f64 (*.f64 y x) x))
(/.f64 (*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x)))))
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(-.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x))))
(+.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(+.f64 x (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
#s(approx (+ x 1) #s(literal 1 binary64))

eval16.0ms (0.3%)

Memory
-5.2MiB live, 30.8MiB allocated
Compiler

Compiled 3 676 to 419 computations (88.6% saved)

prune5.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1290129
Fresh000
Picked033
Done011
Total1294133
Accuracy
100.0%
Counts
133 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.0%
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
62.3%
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
61.6%
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
24.5%
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
Compiler

Compiled 111 to 55 computations (50.5% saved)

regimes9.0ms (0.2%)

Memory
-20.9MiB live, 17.9MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(+.f64 (+.f64 (*.f64 x y) x) y)
Outputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
Calls

3 calls:

3.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(+.f64 (+.f64 (*.f64 x y) x) y)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes6.0ms (0.1%)

Memory
16.6MiB live, 16.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
Outputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
Calls

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
Results
AccuracySegmentsBranch
99.3%3x
99.5%3y
98.9%2(+.f64 (+.f64 (*.f64 x y) x) y)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.1%)

Memory
-28.7MiB live, 10.4MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
Outputs
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
Calls

3 calls:

2.0ms
x
1.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
1.0ms
y
Results
AccuracySegmentsBranch
61.6%1x
61.6%1y
61.6%1(+.f64 (+.f64 (*.f64 x y) x) y)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
y
1.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
1.0ms
x
Results
AccuracySegmentsBranch
24.5%1x
24.5%1(+.f64 (+.f64 (*.f64 x y) x) y)
24.5%1y
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.926039557500587e-258
1.7792232338894068e-266
Compiler

Compiled 10 to 10 computations (0% saved)

simplify11.0ms (0.2%)

Memory
19.7MiB live, 19.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02369
13269
24169
34569
45769
55769
67569
77769
87869
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(if (<=.f64 (+.f64 (+.f64 (*.f64 x y) x) y) #s(literal -8655577598126739/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
Outputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(if (<=.f64 (+.f64 (+.f64 (*.f64 x y) x) y) #s(literal -8655577598126739/4327788799063369698118367518036104040602397294887907509272254128346512609744690048814426160231687683233172643784762398137404191207445999921156415311568401014033503715319849649510248592805285405106374515984066055406780647774220793764564147394699562815402300054714269682368512 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y)))
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))

soundness1.4s (27.6%)

Memory
-24.2MiB live, 291.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04896
116496
243796
3124996
4292396
5380796
6419596
7448196
8463196
9471996
0861182
0515
0815
13815
233215
3531715
0817013
04182
113182
234082
398782
4229182
5335182
6396882
7467582
8489082
9503382
10574582
0823569
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 106 to 51 computations (51.9% saved)

preprocess61.0ms (1.2%)

Memory
22.2MiB live, 70.3MiB allocated
Remove

(sort x y)

Compiler

Compiled 164 to 66 computations (59.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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