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

Time bar (total: 4.7s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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 7 computations (22.2% saved)

sample675.0ms (14.5%)

Memory
18.7MiB live, 907.3MiB allocated
Samples
472.0ms8 253×0valid
0.0ms1valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 279.0ms
ival-mult: 159.0ms (57.1% of total)
ival-add: 110.0ms (39.5% of total)
ival-true: 6.0ms (2.2% of total)
ival-assert: 4.0ms (1.4% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain105.0ms (2.3%)

Memory
-17.9MiB live, 114.6MiB 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
47.0ms512×0valid
Compiler

Compiled 62 to 24 computations (61.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-mult: 27.0ms (85.2% of total)
ival-add: 5.0ms (15.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess37.0ms (0.8%)

Memory
8.6MiB live, 44.5MiB 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
0.7MiB live, 0.7MiB 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
6.8MiB live, 6.8MiB 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-diff128
(+.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

localize21.0ms (0.5%)

Memory
-15.9MiB live, 32.8MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 (+.f64 (*.f64 x y) x) y)
accuracy0.0
(*.f64 x y)
accuracy0.00390625
(+.f64 (*.f64 x y) x)
Samples
17.0ms256×0valid
Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-add: 2.0ms (45.6% of total)
ival-mult: 2.0ms (45.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB 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
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
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))

simplify164.0ms (3.5%)

Memory
23.7MiB live, 135.8MiB 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)

rewrite215.0ms (4.6%)

Memory
-9.2MiB live, 221.3MiB 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)))

eval51.0ms (1.1%)

Memory
5.7MiB live, 43.7MiB allocated
Compiler

Compiled 4 443 to 555 computations (87.5% saved)

prune3.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB 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)
61.6%
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify22.0ms (0.5%)

Memory
-32.2MiB live, 6.2MiB 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

localize170.0ms (3.6%)

Memory
-176.0MiB live, 44.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0
(fma.f64 y x y)
accuracy24.59031999090102
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
Samples
163.0ms256×0valid
Compiler

Compiled 59 to 23 computations (61% saved)

Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-add: 150.0ms (96.4% of total)
ival-mult: 5.0ms (3.2% 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
1.9MiB live, 1.9MiB 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))

simplify227.0ms (4.9%)

Memory
24.5MiB live, 262.6MiB 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)

rewrite227.0ms (4.9%)

Memory
20.3MiB live, 128.9MiB 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))

eval60.0ms (1.3%)

Memory
-2.9MiB live, 35.7MiB allocated
Compiler

Compiled 8 321 to 994 computations (88.1% saved)

prune52.0ms (1.1%)

Memory
-22.3MiB live, 16.6MiB 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
76.3%
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
61.6%
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
62.6%
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
25.5%
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
Compiler

Compiled 49 to 31 computations (36.7% saved)

simplify5.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB 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

localize81.0ms (1.7%)

Memory
-3.8MiB live, 42.8MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
accuracy31.86779718796103
#s(approx (+ x 1) #s(literal 1 binary64))
accuracy0.0
(fma.f64 y x x)
accuracy23.930114844227766
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
accuracy0.0
(*.f64 y x)
accuracy24.59031999090102
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
accuracy31.63411127012625
#s(approx (+ (* y x) y) (*.f64 y x))
Samples
21.0ms256×0valid
Compiler

Compiled 111 to 31 computations (72.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-add: 7.0ms (57.4% of total)
ival-mult: 5.0ms (41% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB 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))

simplify471.0ms (10.1%)

Memory
-15.2MiB live, 227.0MiB 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)

rewrite214.0ms (4.6%)

Memory
22.8MiB live, 266.4MiB 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)))))
(/.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 4 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 x x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 y x) x)))
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(+.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))

eval15.0ms (0.3%)

Memory
-0.2MiB live, 37.2MiB allocated
Compiler

Compiled 3 676 to 419 computations (88.6% saved)

prune7.0ms (0.1%)

Memory
-22.4MiB live, 15.6MiB 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
76.3%
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
61.6%
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
62.6%
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x x))
25.5%
#s(approx (+ (+ (* x y) x) y) #s(approx (+ (* y x) y) (*.f64 y x)))
Compiler

Compiled 111 to 55 computations (50.5% saved)

regimes8.0ms (0.2%)

Memory
19.0MiB live, 19.0MiB 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
x
3.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms
y
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)

regimes8.0ms (0.2%)

Memory
-18.6MiB live, 19.9MiB allocated
Counts
4 → 3
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))
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)
#s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))
Calls

3 calls:

3.0ms
y
2.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
2.0ms
x
Results
AccuracySegmentsBranch
99.3%3x
99.8%3y
97.5%2(+.f64 (+.f64 (*.f64 x y) x) y)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes6.0ms (0.1%)

Memory
16.8MiB live, 16.8MiB allocated
Counts
3 → 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))
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
y
2.0ms
x
2.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
Results
AccuracySegmentsBranch
97.5%2(+.f64 (+.f64 (*.f64 x y) x) y)
90.5%2x
93.0%2y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.2%)

Memory
-29.7MiB live, 14.7MiB 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:

4.0ms
x
1.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
1.0ms
y
Results
AccuracySegmentsBranch
62.6%1x
62.6%1y
62.6%1(+.f64 (+.f64 (*.f64 x y) x) y)
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB 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
x
1.0ms
(+.f64 (+.f64 (*.f64 x y) x) y)
1.0ms
y
Results
AccuracySegmentsBranch
25.5%1y
25.5%1(+.f64 (+.f64 (*.f64 x y) x) y)
25.5%1x
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch26.0ms (0.6%)

Memory
14.3MiB live, 53.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
5.848345787484635e-24
4.331817223911907e-18
12.0ms
-17.165118894079235
-2.9047385485583584e-34
Samples
11.0ms320×0valid
Compiler

Compiled 410 to 330 computations (19.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-add: 3.0ms (55.2% of total)
ival-mult: 2.0ms (36.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.931015952167022e-239
5.984586006260095e-278
Compiler

Compiled 10 to 10 computations (0% saved)

simplify12.0ms (0.3%)

Memory
-12.0MiB live, 26.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032109
142109
250109
353109
465109
565109
683109
785109
886109
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 x #s(literal 1 binary64)) y x)
(if (<=.f64 y #s(literal -8070450532247929/2305843009213693952 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (if (<=.f64 y #s(literal 5451911701461569/1298074214633706907132624082305024 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))))
(if (<=.f64 (+.f64 (+.f64 (*.f64 x y) x) y) #s(literal -2346099009001469/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832 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 y #s(literal -8070450532247929/2305843009213693952 binary64)) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x x)) (if (<=.f64 y #s(literal 5451911701461569/1298074214633706907132624082305024 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) #s(approx (+ (+ (* x y) x) y) (fma.f64 y x y))))
(if (<=.f64 (+.f64 (+.f64 (*.f64 x y) x) y) #s(literal -2346099009001469/234609900900146882186598677984664276915992487298421985521184355961332236331850990873356568705635355651517313099522045706849459083321945101930045653332497036251241466330965705541769635934035794134999367747434457067322823095146394284977019183976237427064832 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)))

soundness1.7s (36.9%)

Memory
-13.1MiB live, 312.2MiB 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 175 to 82 computations (53.1% saved)

preprocess29.0ms (0.6%)

Memory
31.1MiB live, 31.1MiB allocated
Remove

(sort x y)

Compiler

Compiled 244 to 86 computations (64.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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