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

Time bar (total: 5.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.2MiB live, 0.2MiB 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)

sample1.3s (25.1%)

Memory
12.7MiB live, 603.6MiB allocated
Samples
1.0s8 255×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 439.0ms
ival-mult: 346.0ms (78.8% of total)
ival-add: 47.0ms (10.7% of total)
ival-sub: 35.0ms (8% of total)
ival-true: 7.0ms (1.6% of total)
ival-assert: 4.0ms (0.9% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain58.0ms (1.1%)

Memory
14.2MiB live, 97.4MiB 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
25.0ms512×0valid
Compiler

Compiled 41 to 19 computations (53.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 5.0ms (38% of total)
ival-sub: 4.0ms (30.4% of total)
ival-mult: 4.0ms (30.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess59.0ms (1.1%)

Memory
-18.4MiB live, 96.5MiB 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
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify25.0ms (0.5%)

Memory
4.0MiB live, 44.2MiB 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)

localize19.0ms (0.4%)

Memory
-6.0MiB live, 32.0MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x y)
accuracy0.0
(*.f64 x y)
accuracy0.01171875
(-.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: 5.0ms
ival-mult: 2.0ms (42.8% of total)
ival-sub: 1.0ms (21.4% of total)
ival-add: 1.0ms (21.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB 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))
0.0ms
x
@0
((- (+ x y) (* x y)) (+ x y) (* x y))

simplify127.0ms (2.4%)

Memory
-6.0MiB live, 124.4MiB 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)

rewrite237.0ms (4.6%)

Memory
5.8MiB live, 198.8MiB 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
22.9MiB live, 22.9MiB allocated
Compiler

Compiled 4 261 to 483 computations (88.7% saved)

prune58.0ms (1.1%)

Memory
-30.4MiB live, 8.5MiB 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))
63.6%
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
62.8%
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
Compiler

Compiled 47 to 32 computations (31.9% saved)

simplify22.0ms (0.4%)

Memory
16.3MiB live, 16.3MiB 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

localize81.0ms (1.6%)

Memory
4.7MiB live, 43.3MiB 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)
accuracy23.282991968071457
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.01953125
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
accuracy23.807228829272592
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
Samples
73.0ms256×0valid
Compiler

Compiled 58 to 13 computations (77.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 56.0ms (90.4% of total)
ival-sub: 3.0ms (4.8% of total)
ival-add: 3.0ms (4.8% 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
10.6MiB live, 10.6MiB 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))

simplify167.0ms (3.2%)

Memory
1.8MiB live, 82.0MiB 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)

rewrite332.0ms (6.4%)

Memory
-6.8MiB live, 189.2MiB 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))

eval173.0ms (3.3%)

Memory
-12.8MiB live, 119.5MiB allocated
Compiler

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

prune27.0ms (0.5%)

Memory
-14.0MiB live, 24.3MiB allocated
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3545359
Fresh000
Picked123
Done101
Total3567363
Accuracy
100.0%
Counts
363 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
63.6%
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
75.6%
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
62.8%
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
62.8%
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
27.2%
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
38.8%
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
Compiler

Compiled 181 to 122 computations (32.6% saved)

simplify54.0ms (1%)

Memory
-4.7MiB live, 34.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
024154
033154
149154
277154
3124154
4180154
5249154
6343154
7686154
8953154
91172154
101216154
01216149
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#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
#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) (neg.f64 x)) y x))
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
y
Outputs
#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
#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) (neg.f64 x)) y x))
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
x
y

localize65.0ms (1.3%)

Memory
6.2MiB live, 51.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 x)
accuracy0.0
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
accuracy0.00390625
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)
accuracy29.8107557761313
#s(approx (- 1 x) (neg.f64 x))
accuracy0.0
(*.f64 y x)
accuracy0.01171875
(-.f64 y (*.f64 y x))
accuracy23.807228829272592
#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)
accuracy23.282991968071457
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
accuracy32.38438304765319
#s(approx (- 1 y) (neg.f64 y))
accuracy0.01953125
(*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y)
accuracy23.807228829272592
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
accuracy32.94984582119342
#s(approx (- 1 x) #s(literal 1 binary64))
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)
accuracy32.94984582119342
#s(approx (- 1 x) #s(literal 1 binary64))
Samples
54.0ms256×0valid
Compiler

Compiled 96 to 17 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 40.0ms
ival-sub: 29.0ms (72.3% of total)
ival-mult: 6.0ms (15% of total)
ival-add: 3.0ms (7.5% of total)
ival-neg: 2.0ms (5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
16 → 36
Calls
Call 1
Inputs
#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(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 (- (+ 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) (neg.f64 x)) y x))
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
Outputs
y
(+ y (* x (- 1 y)))
(+ y (* x (+ 1 (* -1 y))))
1
(+ 1 (* -1 x))
(+ y (* -1 (* x y)))
(* x (- 1 y))
(* x y)
(* -1 x)
(* x (- (+ 1 (/ y x)) y))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (- (/ 1 x) 1))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (- (/ y x) y))
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (- (* -1 (/ y x)) (* -1 y))))
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 (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
Calls

6 calls:

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

simplify153.0ms (2.9%)

Memory
-16.6MiB live, 97.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076180
1232167
2611167
31399167
43017167
54654167
66180167
77062167
08112157
Stop Event
iter limit
node limit
Counts
36 → 34
Calls
Call 1
Inputs
y
(+ y (* x (- 1 y)))
(+ y (* x (+ 1 (* -1 y))))
1
(+ 1 (* -1 x))
(+ y (* -1 (* x y)))
(* x (- 1 y))
(* x y)
(* -1 x)
(* x (- (+ 1 (/ y x)) y))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (+ (* -1 y) (/ y x))))
(* x (- (/ 1 x) 1))
(* -1 (* x y))
(* x (+ (* -1 y) (/ y x)))
(* x (- (/ y x) y))
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(* -1 (* x (- y 1)))
(* -1 (* x (- (+ y (* -1 (/ y x))) 1)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ y (* -1 (/ y x)))))
(* -1 (* x (- (* -1 (/ y x)) (* -1 y))))
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 (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (- 1 (/ 1 y))))
Outputs
y
(+ y (* x (- 1 y)))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
(+ y (* x (+ 1 (* -1 y))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) x y)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ y (* -1 (* x y)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- 1 y))
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(* x y)
(*.f64 y x)
(* -1 x)
(neg.f64 x)
(* x (- (+ 1 (/ y x)) y))
(fma.f64 (-.f64 #s(literal 1 binary64) y) 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)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (+ (* -1 y) (/ y x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* x (- (/ y x) y))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (- (* -1 (/ y x)) (+ 1 (* -1 y)))))
(fma.f64 (-.f64 #s(literal 1 binary64) y) 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)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ y (* -1 (/ y x)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) y)
(* -1 (* x (- (* -1 (/ y x)) (* -1 y))))
(*.f64 (-.f64 #s(literal 1 binary64) 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 (+ (* -1 (- 1 x)) (* -1 (/ x y)))))
(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)

rewrite261.0ms (5%)

Memory
1.4MiB live, 115.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024138
033138
1127138
2852138
08653133
Stop Event
iter limit
node limit
iter limit
Counts
16 → 154
Calls
Call 1
Inputs
#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(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 (- (+ 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) (neg.f64 x)) y x))
(fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x)
#s(approx (- 1 x) (neg.f64 x))
(neg.f64 x)
Outputs
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
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(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y)) (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (neg.f64 x))) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y (neg.f64 x))))
(+.f64 (*.f64 #s(approx (- 1 x) (neg.f64 x)) y) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 #s(approx (- 1 x) (neg.f64 x)))) y))
(+.f64 x (*.f64 #s(approx (- 1 x) (neg.f64 x)) y))
#s(approx (- 1 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)

eval17.0ms (0.3%)

Memory
20.0MiB live, 20.0MiB allocated
Compiler

Compiled 6 262 to 594 computations (90.5% saved)

prune7.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New1690169
Fresh000
Picked055
Done022
Total1697176
Accuracy
100.0%
Counts
176 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
#s(approx (- (+ x y) (* x y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) y x))
63.6%
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
75.6%
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y x))
62.8%
#s(approx (- (+ x y) (* x y)) (-.f64 y (*.f64 y x)))
62.8%
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
27.2%
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x))
38.8%
#s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 x) #s(literal 1 binary64)) y))
Compiler

Compiled 228 to 106 computations (53.5% saved)

regimes175.0ms (3.4%)

Memory
-28.7MiB live, 9.7MiB allocated
Counts
9 → 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 #s(approx (- 1 x) (neg.f64 x)) 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:

168.0ms
x
3.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
3.0ms
y
Results
AccuracySegmentsBranch
100.0%1x
100.0%1y
100.0%1(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes8.0ms (0.2%)

Memory
8.4MiB live, 8.4MiB allocated
Counts
7 → 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)))
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
Outputs
#s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) y x))
#s(approx (- (+ x y) (* x y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y))
Calls

3 calls:

3.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
3.0ms
x
3.0ms
y
Results
AccuracySegmentsBranch
99.4%3x
99.7%3y
98.8%2(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.1%)

Memory
3.0MiB live, 3.0MiB 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 (-.f64 #s(literal 1 binary64) x) y))
Calls

1 calls:

2.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
Results
AccuracySegmentsBranch
98.8%2(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes4.0ms (0.1%)

Memory
4.9MiB live, 4.9MiB 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

2 calls:

2.0ms
y
2.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
Results
AccuracySegmentsBranch
99.5%3y
93.2%3(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB 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

3 calls:

2.0ms
x
2.0ms
y
2.0ms
(-.f64 (+.f64 x y) (*.f64 x y))
Results
AccuracySegmentsBranch
87.4%3(-.f64 (+.f64 x y) (*.f64 x y))
83.8%3x
82.5%4y
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB 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
(-.f64 (+.f64 x y) (*.f64 x y))
1.0ms
y
Results
AccuracySegmentsBranch
75.6%1y
75.6%1x
75.6%1(-.f64 (+.f64 x y) (*.f64 x y))
Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB 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
(-.f64 (+.f64 x y) (*.f64 x y))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
38.8%1y
38.8%1(-.f64 (+.f64 x y) (*.f64 x y))
38.8%1x
Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.641174195517968e-245
3.807658656021601e-283
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-2.641174195517968e-245
3.807658656021601e-283
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch216.0ms (4.1%)

Memory
-10.1MiB live, 38.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
2.7517399674314027e-15
1.219241366052681e-8
202.0ms
-1150805.4061291318
-1.4601884581504756e-15
Samples
202.0ms320×0valid
Compiler

Compiled 623 to 472 computations (24.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 195.0ms
ival-mult: 163.0ms (83.7% of total)
ival-add: 30.0ms (15.4% of total)
ival-sub: 1.0ms (0.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
9.591913107385249e+307
1.5889619607355062e+308
0.0ms
-3.439055243293391e+283
-4.3977425779486434e+282
Compiler

Compiled 10 to 10 computations (0% saved)

simplify62.0ms (1.2%)

Memory
-28.9MiB live, 46.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048227
172227
293227
3120227
4148227
5194227
6263227
7451227
8756227
9918227
10926227
11926227
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 -615015778615681/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) 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 -615015778615681/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 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 -800000 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 7253554917687775/604462909807314587353088 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 -19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 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 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 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 -615015778615681/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 binary64)) #s(approx (- (+ x y) (* x y)) (fma.f64 #s(approx (- 1 x) (neg.f64 x)) 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 -615015778615681/30750788930784052141961861920805916103932967295178766486232675904563738880488373075752592173385037335955677262580553574888172300969173988400174943873597051535522721474932336956770829721145939608862637129391729156728137068727028191720507858482133392040241659904 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 -800000 binary64)) #s(approx (- (+ x y) (* x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) x)) (if (<=.f64 y #s(literal 7253554917687775/604462909807314587353088 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 -19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 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 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 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 -19999999999999999107907035470722688548543642037822625624581146052369080204687596991974988676793374119619545593265815356195141111730219737506752206295336815508807162619269109592516352168767784404225952785594616990049919679573930685265192332375929060688459799179664924898580232780382208 binary64)) (not (<=.f64 (-.f64 (+.f64 x y) (*.f64 x y)) #s(literal 100000000000000001097906362944045541740492309677311846336810682903157585404911491537163328978494688899061249669721172515611590283743140088328307009198146046031271664502933027185697489699588559043338384466165001178426897626212945177628091195786707458122783970171784415105291802893207873272974885715430223118336 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 (26.5%)

Memory
25.2MiB live, 377.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

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

Compiled 339 to 148 computations (56.3% saved)

preprocess62.0ms (1.2%)

Memory
-14.2MiB live, 104.7MiB allocated
Compiler

Compiled 496 to 128 computations (74.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...