Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, A

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.5MiB live, 0.5MiB 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)

sample1.6s (27.8%)

Memory
-58.3MiB live, 1 061.7MiB allocated
Samples
709.0ms8 255×0valid
0.0ms2valid
Precisions
Click to see histograms. Total time spent on operations: 250.0ms
ival-mult: 110.0ms (44.1% of total)
ival-sub: 77.0ms (30.9% of total)
ival-add: 54.0ms (21.6% of total)
ival-true: 6.0ms (2.4% of total)
ival-assert: 3.0ms (1.2% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain540.0ms (9.1%)

Memory
32.7MiB live, 125.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(-.f64 (+.f64 x y) (*.f64 x y))
00-0-y
00-0-(+.f64 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
28.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 10.0ms (65% of total)
ival-add: 3.0ms (19.5% of total)
ival-sub: 2.0ms (13% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess71.0ms (1.2%)

Memory
-32.0MiB live, 32.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
13940
210539
319337
426335
539635
656335
776635
8107335
9143535
10153835
11153835
057
087
1157
2317
3587
4887
51357
62027
73647
86027
97647
108597
118817
08816
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
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
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify18.0ms (0.3%)

Memory
15.4MiB live, 15.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
0815
11515
23115
35815
48815
513515
620215
736415
860215
976415
1085915
1188115
088114
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x y)
x
y
(*.f64 x y)
Outputs
(-.f64 (+.f64 x y) (*.f64 x y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+.f64 x y)
(+.f64 y x)
x
y
(*.f64 x y)
(*.f64 y x)

localize123.0ms (2.1%)

Memory
-25.8MiB live, 20.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x y)
accuracy0.0
(*.f64 x y)
accuracy0.0078125
(-.f64 (+.f64 x y) (*.f64 x y))
Samples
10.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

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

series4.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
3 → 18
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x y)
(*.f64 x y)
Outputs
y
(+ y (* x (- 1 y)))
(+ x y)
(* x y)
(* x (- 1 y))
(* x (- (+ 1 (/ y x)) y))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 y)))
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x (* y (- 1 x)))
(* y (- 1 x))
(* y (- (+ 1 (/ x y)) x))
(* y (+ 1 (/ x y)))
(* y (+ 1 (* -1 x)))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Calls

6 calls:

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

simplify275.0ms (4.6%)

Memory
39.8MiB live, 126.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04282
112182
227082
368882
4180882
5389882
6616582
7747082
0868076
Stop Event
iter limit
node limit
Counts
18 → 16
Calls
Call 1
Inputs
y
(+ y (* x (- 1 y)))
(+ x y)
(* x y)
(* x (- 1 y))
(* x (- (+ 1 (/ y x)) y))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 y)))
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ x (* y (- 1 x)))
(* y (- 1 x))
(* y (- (+ 1 (/ x y)) x))
(* y (+ 1 (/ x y)))
(* y (+ 1 (* -1 x)))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
Outputs
y
(+ y (* x (- 1 y)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ x y)
(+.f64 y x)
(* x y)
(*.f64 y x)
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (- (+ 1 (/ y x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
x
(* x (+ 1 (/ y x)))
(+.f64 y x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+.f64 y x)
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* y (+ 1 (/ x y)))
(+.f64 y x)
(* y (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(+.f64 y x)

rewrite217.0ms (3.7%)

Memory
-9.1MiB live, 131.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0513
0813
13913
233413
3516213
0822313
Stop Event
iter limit
node limit
iter limit
Counts
3 → 143
Calls
Call 1
Inputs
(-.f64 (+.f64 x y) (*.f64 x y))
(+.f64 x y)
(*.f64 x y)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (*.f64 y x) (-.f64 (*.f64 y x) (+.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y x))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x))))
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x)) #s(literal 3 binary64)) (pow.f64 (+.f64 y x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x)) (-.f64 (*.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (+.f64 y x) #s(literal 4 binary64))))
(*.f64 (fma.f64 y x (+.f64 y x)) (/.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y x) (fma.f64 y x (+.f64 y x))))
(*.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (/.f64 (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y x) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64))) (fma.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) y x))
(/.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (fma.f64 (neg.f64 x) y y) x))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (-.f64 (*.f64 (neg.f64 x) y) (+.f64 y x)))
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (fma.f64 (neg.f64 y) x x) #s(literal 2 binary64))) (-.f64 y (fma.f64 (neg.f64 y) x x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (neg.f64 y) x x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (fma.f64 (neg.f64 y) x x) #s(literal 2 binary64)) (*.f64 y (fma.f64 (neg.f64 y) x x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (fma.f64 (neg.f64 x) y y))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 (neg.f64 x) y y) (-.f64 (fma.f64 (neg.f64 x) y y) x) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 y x (+.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (fma.f64 y x (+.f64 y x))) (*.f64 (fma.f64 y x (+.f64 y x)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (pow.f64 (fma.f64 y x (+.f64 y x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (+.f64 y x))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64))) (-.f64 x (fma.f64 (neg.f64 x) y y)))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 9 binary64)) (pow.f64 (*.f64 y x) #s(literal 9 binary64))) (*.f64 (+.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (+.f64 y x) x) y) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (+.f64 y x) #s(literal 4 binary64)) (pow.f64 (*.f64 y x) #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 (+.f64 y x) x) y) #s(literal 2 binary64))) (fma.f64 y x (+.f64 y x))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 6 binary64)) (pow.f64 (*.f64 y x) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (*.f64 (*.f64 (+.f64 y x) y) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 2 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (neg.f64 x) y y) x))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) y y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 (neg.f64 x) y y) (-.f64 (fma.f64 (neg.f64 x) y y) x) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 y x (+.f64 y x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64))) (fma.f64 y x (+.f64 y x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x (+.f64 y x))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 y x) #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (fma.f64 (fma.f64 y x (+.f64 y x)) (*.f64 y x) (pow.f64 (+.f64 y x) #s(literal 2 binary64)))))
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(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(fma.f64 x (/.f64 x (-.f64 x y)) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x y))) (/.f64 (*.f64 (neg.f64 y) y) (-.f64 x y)))
(+.f64 y x)
(+.f64 x y)
(*.f64 y x)
(*.f64 x y)
(pow.f64 (*.f64 y x) #s(literal 1 binary64))
(neg.f64 (*.f64 (neg.f64 x) y))
(exp.f64 (*.f64 (log.f64 (*.f64 y x)) #s(literal 1 binary64)))

eval15.0ms (0.3%)

Memory
17.1MiB live, 17.1MiB allocated
Compiler

Compiled 4 261 to 483 computations (88.7% saved)

prune8.0ms (0.1%)

Memory
-37.5MiB live, 8.6MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1453148
Fresh000
Picked011
Done000
Total1454149
Accuracy
100.0%
Counts
149 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
100.0%
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
64.9%
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
69.7%
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify20.0ms (0.3%)

Memory
20.7MiB live, 20.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 9 expressions of interest:

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

Useful iterations: 6 (0.0ms)

IterNodesCost
01474
01974
13174
25274
38674
412974
518474
625871
745171
870871
987071
1096871
1199271
099271
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
Outputs
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
x
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) x y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y

localize72.0ms (1.2%)

Memory
0.1MiB live, 50.4MiB allocated
Localize:

Found 9 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
accuracy0.00390625
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
accuracy0.0
(-.f64 #s(literal 1 binary64) y)
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy22.47406299876526
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0078125
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy19.4002500928429
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
Samples
40.0ms256×0valid
Compiler

Compiled 58 to 13 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-mult: 5.0ms (43.9% of total)
ival-sub: 3.0ms (26.3% of total)
ival-add: 3.0ms (26.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
8 → 33
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
Outputs
y
(+ y (* x (- 1 y)))
(+ y (* -1 (* x y)))
1
(+ 1 (* -1 x))
(* x (- 1 y))
(+ y (* x (+ 1 (* -1 y))))
(* x (- (+ 1 (/ y x)) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
x
(+ x (* y (- 1 x)))
(* y (- 1 x))
(+ x (* -1 (* x y)))
(+ 1 (* -1 y))
(* y (- (+ 1 (/ x y)) x))
(* y (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (+ 1 (* -1 x)))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
Calls

6 calls:

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

simplify356.0ms (6%)

Memory
-20.7MiB live, 68.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
071165
1221154
2578154
31370154
42971154
54609154
66144154
77036154
08086144
Stop Event
iter limit
node limit
Counts
33 → 31
Calls
Call 1
Inputs
y
(+ y (* x (- 1 y)))
(+ y (* -1 (* x y)))
1
(+ 1 (* -1 x))
(* x (- 1 y))
(+ y (* x (+ 1 (* -1 y))))
(* x (- (+ 1 (/ y x)) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
x
(+ x (* y (- 1 x)))
(* y (- 1 x))
(+ x (* -1 (* x y)))
(+ 1 (* -1 y))
(* y (- (+ 1 (/ x y)) x))
(* y (+ (* -1 x) (/ x y)))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (+ 1 (* -1 x)))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
Outputs
y
(+ y (* x (- 1 y)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(+ y (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* x (- (+ 1 (/ y x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 y)
(neg.f64 y)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)

rewrite317.0ms (5.4%)

Memory
23.2MiB live, 208.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01462
01962
18462
264259
0844159
Stop Event
iter limit
node limit
iter limit
Counts
8 → 318
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(-.f64 #s(literal 1 binary64) x)
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(fma.f64 (-.f64 #s(literal 1 binary64) x) y x)
Outputs
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) y)
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y)
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
(*.f64 y (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) y) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (*.f64 y (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (-.f64 y (*.f64 (*.f64 x x) y)))) (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) y)))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (*.f64 (*.f64 y x) (fma.f64 y x y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) y) (+.f64 #s(literal 1 binary64) x))
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(+.f64 (*.f64 (neg.f64 x) y) (+.f64 y x))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) x)
(+.f64 (+.f64 y x) (*.f64 (neg.f64 x) y))
(+.f64 y (fma.f64 (neg.f64 y) x x))
(+.f64 y (*.f64 (-.f64 #s(literal 1 binary64) y) x))
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) x)))
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) y))

eval79.0ms (1.3%)

Memory
-30.7MiB live, 79.4MiB allocated
Compiler

Compiled 12 277 to 1 350 computations (89% saved)

prune7.0ms (0.1%)

Memory
20.9MiB live, 20.9MiB allocated
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3554359
Fresh000
Picked123
Done101
Total3576363
Accuracy
100.0%
Counts
363 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
69.7%
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
64.9%
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
69.7%
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
35.0%
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
37.3%
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
Compiler

Compiled 86 to 59 computations (31.4% saved)

simplify56.0ms (0.9%)

Memory
-20.9MiB live, 26.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
020118
026118
141118
264118
3103118
4147118
5228118
6320118
7633118
8859118
91060118
101104118
01104114
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
x
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
(-.f64 y (*.f64 y x))
y
(*.f64 y x)
x
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x
Outputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
x
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
#s(approx (- (+ x y) (* x y)) (fma.f64 (neg.f64 y) x y))
(-.f64 y (*.f64 y x))
(fma.f64 (neg.f64 y) x y)
y
(*.f64 y x)
x
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x

localize38.0ms (0.6%)

Memory
37.5MiB live, 80.9MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
accuracy0.00390625
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
accuracy34.5742201999819
#s(approx (- 1 x) #s(literal 1 binary64))
accuracy0.0
(*.f64 y x)
accuracy0.0078125
(-.f64 y (*.f64 y x))
accuracy19.4002500928429
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
accuracy0.0
(neg.f64 y)
accuracy0.00390625
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
accuracy22.47406299876526
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
accuracy26.96529006961276
#s(approx (- 1 y) (neg.f64 y))
accuracy0.0078125
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy19.4002500928429
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
accuracy34.5742201999819
#s(approx (- 1 x) #s(literal 1 binary64))
Samples
29.0ms256×0valid
Compiler

Compiled 75 to 16 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-mult: 6.0ms (40% of total)
ival-sub: 4.0ms (26.7% of total)
ival-add: 3.0ms (20% of total)
ival-neg: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series40.0ms (0.7%)

Memory
-32.6MiB live, 11.5MiB allocated
Counts
12 → 36
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
(-.f64 y (*.f64 y x))
(*.f64 y x)
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
Outputs
y
(+ y (* x (- 1 y)))
(+ y (* -1 (* x y)))
1
(+ 1 (* -1 x))
(* x (- 1 y))
(* x y)
(+ y (* x (+ 1 (* -1 y))))
(* x (- (+ 1 (/ y x)) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ y x) y))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- (* -1 (/ y x)) (* -1 y))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
x
(+ x (* y (- 1 x)))
(* y (- 1 x))
(+ x (* -1 (* x y)))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (+ 1 (/ x y)) x))
(* y (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(* y (+ 1 (* -1 x)))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
Calls

6 calls:

TimeVariablePointExpression
36.0ms
y
@inf
((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (- y (* y x)) (* y x) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x))
1.0ms
y
@-inf
((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (- y (* y x)) (* y x) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x))
1.0ms
x
@-inf
((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (- y (* y x)) (* y x) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x))
1.0ms
x
@inf
((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (- y (* y x)) (* y x) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x))
1.0ms
x
@0
((- (+ x y) (* x y)) (* (- 1 x) y) (- 1 x) (- (+ x y) (* x y)) (* (- 1 y) x) (- 1 y) (neg y) (- (+ x y) (* x y)) (- y (* y x)) (* y x) (- (+ x y) (* x y)) (+ (* (- 1 x) y) x))

simplify125.0ms (2.1%)

Memory
34.7MiB live, 135.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076180
1232167
2612167
31399167
43030167
54673167
66214167
77099167
08149157
Stop Event
iter limit
node limit
Counts
36 → 34
Calls
Call 1
Inputs
y
(+ y (* x (- 1 y)))
(+ y (* -1 (* x y)))
1
(+ 1 (* -1 x))
(* x (- 1 y))
(* x y)
(+ y (* x (+ 1 (* -1 y))))
(* x (- (+ 1 (/ y x)) y))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ y x) y))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- (* -1 (/ y x)) (* -1 y))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
x
(+ x (* y (- 1 x)))
(* y (- 1 x))
(+ x (* -1 (* x y)))
(+ 1 (* -1 y))
(* -1 y)
(* y (- (+ 1 (/ x y)) x))
(* y (+ (* -1 x) (/ x y)))
(* y (- (/ 1 y) 1))
(* y (+ 1 (* -1 x)))
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
Outputs
y
(+ y (* x (- 1 y)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ y (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x y)
(*.f64 y x)
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* x (- (+ 1 (/ y x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ y x) y))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x (+ 1 (+ (* -1 y) (/ y x))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- (* -1 (/ y x)) (* -1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (- y 1)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
x
(+ x (* y (- 1 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* y (- 1 x))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(+ x (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* -1 y)
(neg.f64 y)
(* y (- (+ 1 (/ x y)) x))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* y (+ (* -1 x) (/ x y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* y (- (/ 1 y) 1))
(-.f64 #s(literal 1 binary64) y)
(* y (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* y (- (* -1 (/ x y)) (+ 1 (* -1 x)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(* -1 (* y (+ x (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* -1 (* y (- 1 (/ 1 y))))
(-.f64 #s(literal 1 binary64) y)
(* -1 (* y (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)

rewrite223.0ms (3.8%)

Memory
-10.0MiB live, 264.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020104
026104
1109104
2728104
08395100
Stop Event
iter limit
node limit
iter limit
Counts
12 → 114
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
(-.f64 y (*.f64 y x))
(*.f64 y x)
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
(fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)
Outputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(*.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
(*.f64 y (*.f64 #s(literal 1 binary64) #s(approx (- 1 x) #s(literal 1 binary64))))
(*.f64 y #s(approx (- 1 x) #s(literal 1 binary64)))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal 1 binary64)) x)
(*.f64 (*.f64 #s(approx (- 1 y) (neg.f64 y)) x) #s(literal 1 binary64))
(*.f64 #s(approx (- 1 y) (neg.f64 y)) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
(*.f64 x (*.f64 #s(literal 1 binary64) #s(approx (- 1 y) (neg.f64 y))))
(*.f64 x #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(approx (- (+ x y) (* x y)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) y)
(*.f64 (/.f64 (fma.f64 y x y) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) y))
(*.f64 y (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(*.f64 y (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (fma.f64 y x y)) (/.f64 (*.f64 y y) (fma.f64 y x y))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x y)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x y)))) (fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) x)) (/.f64 y y) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x y))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y)))) (*.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y))))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y)))))
(/.f64 (-.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 (neg.f64 y) x) y))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (fma.f64 y x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (fma.f64 y x y)) (/.f64 (*.f64 y y) (fma.f64 y x y)) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x y)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x y)) (*.f64 (/.f64 (*.f64 y y) (fma.f64 y x y)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) (fma.f64 y x y))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y))) (fma.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y))) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y))) (/.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (fma.f64 (*.f64 y y) (fma.f64 x x x) (*.f64 y y)))))))
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(+.f64 (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 x) #s(literal 1 binary64)))) y))
(+.f64 x (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

eval35.0ms (0.6%)

Memory
-31.2MiB live, 33.0MiB allocated
Compiler

Compiled 4 118 to 442 computations (89.3% saved)

prune6.0ms (0.1%)

Memory
20.3MiB live, 20.3MiB allocated
Pruning

6 alts after pruning (0 fresh and 6 done)

PrunedKeptTotal
New1300130
Fresh000
Picked044
Done022
Total1306136
Accuracy
100.0%
Counts
136 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.8%
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
69.7%
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
64.9%
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
69.7%
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
35.0%
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
37.3%
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
Compiler

Compiled 193 to 91 computations (52.8% saved)

regimes11.0ms (0.2%)

Memory
-20.4MiB live, 24.5MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(-.f64 (+.f64 x y) (*.f64 x y))
Outputs
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
Calls

3 calls:

5.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
3.0ms
y
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1(-.f64 (+.f64 x y) (*.f64 x y))
100.0%1x
100.0%1y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes7.0ms (0.1%)

Memory
28.4MiB live, 28.4MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
Outputs
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
Calls

3 calls:

2.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
99.3%2(-.f64 (+.f64 x y) (*.f64 x y))
99.6%3x
99.7%3y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes2.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
Outputs
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
Calls

1 calls:

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

Compiled 7 to 5 computations (28.6% saved)

regimes8.0ms (0.1%)

Memory
-30.5MiB live, 15.7MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
Outputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
Calls

3 calls:

4.0ms
x
2.0ms
y
2.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
Results
AccuracySegmentsBranch
80.2%3x
99.0%3y
90.7%3(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory
9.5MiB live, 9.5MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
Outputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
Calls

2 calls:

2.0ms
y
1.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
Results
AccuracySegmentsBranch
82.5%3(-.f64 (+.f64 x y) (*.f64 x y))
80.9%3y
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes4.0ms (0.1%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
Outputs
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
Results
AccuracySegmentsBranch
66.8%1x
66.8%1y
66.8%1(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
Outputs
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
Calls

3 calls:

1.0ms
x
1.0ms
y
1.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
Results
AccuracySegmentsBranch
37.3%1x
37.3%1y
37.3%1(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.599722150015525e-268
2.6020381158740696e-256
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-3.599722150015525e-268
2.6020381158740696e-256
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch26.0ms (0.4%)

Memory
-3.4MiB live, 41.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
9.0ms
0.08080599233972315
116.08968841486166
15.0ms
-76.50223415623525
-1.089990635990278e-31
Samples
13.0ms304×0valid
Compiler

Compiled 594 to 450 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (44.7% of total)
ival-add: 2.0ms (29.8% of total)
ival-sub: 1.0ms (14.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
3.1288431543760676e+299
+inf
0.0ms
-9.242508997996612e+302
-1.1123254723788586e+302
Compiler

Compiled 10 to 10 computations (0% saved)

simplify56.0ms (0.9%)

Memory
-18.9MiB live, 37.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046223
173223
2101223
3130223
4158223
5204223
6273223
7461223
8765223
9930223
10938223
11938223
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -7435084542388915/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x))))
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -7435084542388915/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 y #s(literal -75 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
Outputs
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -7435084542388915/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x))))
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -7435084542388915/37175422711944576569951562453747514003281505041484861476394296482898516429010109338629207862403908764744968094754824326261364631138622642694770764527559865644574271011186496848567160245857443421755979894558785930151693717671947002203927473508716452075301127636353597820594133720367104 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)))
(if (<=.f64 y #s(literal -75 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))))
(if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))))
(if (or (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal -500000000000000000080882538393228219106334323115829719147747508550558749612869373932630121517106957626889886784090168708013722910283889599821695770803013034305575373061142488088628325022100263638403663533845231056330713750098525613244949130339381695724688044273646160407063978743165327734459561131638784 binary64)) (not (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal 500000000000000026252380127602210124352234290554079577457927057755901228994454097893185687540223932021852221916441939088471261617680215287822396092393353491424193600463287901868915116897394045029684476617485399972540559519483820440037326371390071247289629394410028421419057834736098193432729700270080 binary64)))) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x)))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))

soundness1.4s (23.3%)

Memory
32.6MiB live, 488.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
071165
1221154
2578154
31370154
42971154
54609154
66144154
77036154
08086144
01462
01962
18462
264259
0844159
04282
112182
227082
368882
4180882
5389882
6616582
7747082
0868076
Stop Event
done
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 347 to 153 computations (55.9% saved)

preprocess115.0ms (1.9%)

Memory
-31.1MiB live, 119.6MiB allocated
Remove

(sort x y)

Compiler

Compiled 488 to 124 computations (74.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...