Data.Colour.CIE:cieLAB from colour-2.3.3, A

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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 11 to 11 computations (0% saved)

sample809.0ms (13.3%)

Memory
8.7MiB live, 1 075.4MiB allocated
Samples
514.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 317.0ms
ival-mult: 176.0ms (55.5% of total)
ival-div: 85.0ms (26.8% of total)
ival-sub: 37.0ms (11.7% of total)
exact: 10.0ms (3.2% of total)
ival-true: 6.0ms (1.9% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain198.0ms (3.3%)

Memory
27.8MiB live, 144.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
00-0-#s(literal 3 binary64)
00-0-#s(literal 16 binary64)
00-0-#s(literal 116 binary64)
00-0-(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
00-0-(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
00-0-(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
00-0-y
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
*.f64(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)n*o10
Confusion
Predicted +Predicted -
+10
-0255
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+100
-00255
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
136.0ms476×0valid
3.0ms26×1valid
1.0ms10×2valid
Compiler

Compiled 71 to 31 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-mult: 117.0ms (93.4% of total)
ival-div: 4.0ms (3.2% of total)
ival-sub: 3.0ms (2.4% of total)
adjust: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess58.0ms (1%)

Memory
-30.3MiB live, 62.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02041
15637
216035
354235
4170135
5196835
6222335
7236035
8241635
9243535
097
0147
1217
2367
3667
4887
0886
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Outputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
Symmetry

(negabs y)

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Compiler

Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
cost-diff0
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
cost-diff1
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
cost-diff2
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
01421
12121
23621
36621
48821
08819
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
x
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
#s(literal 16 binary64)
#s(literal 116 binary64)
#s(literal 3 binary64)
y
Outputs
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
(-.f64 x #s(literal 4/29 binary64))
x
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
#s(literal 4/29 binary64)
#s(literal 16 binary64)
#s(literal 116 binary64)
#s(literal 3 binary64)
y

localize43.0ms (0.7%)

Memory
-6.8MiB live, 31.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
accuracy0.00390625
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
accuracy0.09765625
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
accuracy0.34324257039220296
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
Samples
34.0ms238×0valid
1.0ms13×1valid
1.0ms2valid
Compiler

Compiled 31 to 11 computations (64.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-mult: 3.0ms (40.1% of total)
ival-div: 2.0ms (26.7% of total)
ival-sub: 1.0ms (13.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
4 → 16
Calls
Call 1
Inputs
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Outputs
-12/29
(- (* 3 x) 12/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-4/29
(- x 4/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* y (- x 4/29)))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms
x
@inf
((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms
y
@0
((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms
x
@0
((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))
1.0ms
y
@inf
((/ 16 116) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (- x (/ 16 116)))

simplify212.0ms (3.5%)

Memory
8.5MiB live, 124.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04274
111266
229866
362366
4158166
5270966
6371266
7419966
8437266
9439266
10440666
11514066
12552066
13574666
14619766
15655966
16656566
17657766
18657766
0860259
Stop Event
iter limit
node limit
Counts
16 → 15
Calls
Call 1
Inputs
-12/29
(- (* 3 x) 12/29)
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-4/29
(- x 4/29)
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* 3 (* y (- x 4/29)))
Outputs
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)

rewrite280.0ms (4.6%)

Memory
8.6MiB live, 289.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
01416
13516
216416
3126316
0836214
Stop Event
iter limit
node limit
iter limit
Counts
4 → 613
Calls
Call 1
Inputs
(/.f64 #s(literal 16 binary64) #s(literal 116 binary64))
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Outputs
#s(literal 4/29 binary64)
(*.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -16/841 binary64)))) (/.f64 #s(literal 3 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 3 binary64) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -16/841 binary64)))) (-.f64 #s(literal 4/29 binary64) x))
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (neg.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(*.f64 (/.f64 #s(literal 3 binary64) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)))) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal -16/841 binary64))) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 x #s(literal 4/29 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (pow.f64 (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 #s(literal -3 binary64) (-.f64 #s(literal 4/29 binary64) x))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 4/29 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -16/841 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (/.f64 #s(literal 3 binary64) (pow.f64 (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 3 binary64) (pow.f64 (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 16/841 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -4/29 binary64) x) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 16/841 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal -4/29 binary64) x) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 192/24389 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 144/841 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))))))
(*.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal -4/29 binary64) x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 #s(literal -3 binary64) (-.f64 #s(literal -4/29 binary64) x)))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (-.f64 x #s(literal 4/29 binary64)))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 3 binary64))
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(+.f64 (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64)) #s(literal -64/24389 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -4/29 binary64))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x)))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 x #s(literal 4/29 binary64))))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 16/841 binary64) (fma.f64 x x #s(literal -16/841 binary64)))) (-.f64 x #s(literal 4/29 binary64))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (*.f64 #s(literal -16/841 binary64) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (-.f64 #s(literal -4/29 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 64/24389 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 2 binary64))))) (-.f64 (fma.f64 x x (*.f64 #s(literal -4/29 binary64) x)) #s(literal 16/841 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 64/24389 binary64) (+.f64 (pow.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (-.f64 (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (*.f64 #s(literal -64/24389 binary64) (pow.f64 (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64)))) (neg.f64 (/.f64 #s(literal 64/24389 binary64) (fma.f64 x x (fma.f64 x #s(literal 4/29 binary64) #s(literal 16/841 binary64))))))
(+.f64 #s(literal -4/29 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -4/29 binary64) x)
(+.f64 x #s(literal -4/29 binary64))

eval119.0ms (2%)

Memory
-1.1MiB live, 152.9MiB allocated
Compiler

Compiled 17 423 to 2 141 computations (87.7% saved)

prune21.0ms (0.3%)

Memory
7.5MiB live, 45.3MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6129621
Fresh000
Picked101
Done000
Total6139622
Accuracy
100.0%
Counts
622 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x)))
86.2%
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64)))
99.0%
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
99.5%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
99.7%
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
99.6%
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
44.4%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
57.2%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
44.8%
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Compiler

Compiled 178 to 164 computations (7.9% saved)

simplify10.0ms (0.2%)

Memory
-30.3MiB live, 8.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
cost-diff1
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
cost-diff1
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
cost-diff0
(-.f64 x #s(literal 4/29 binary64))
cost-diff0
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
cost-diff1
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
cost-diff0
(*.f64 #s(literal 3 binary64) x)
cost-diff0
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
cost-diff0
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
cost-diff0
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
cost-diff0
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
(-.f64 x #s(literal 4/29 binary64))
cost-diff1
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024103
035102
15395
28194
312694
414994
516494
617694
718994
819894
920394
020394
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(literal -12/29 binary64)
y
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
y
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
#s(literal 3 binary64)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
y
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
#s(literal 3 binary64)
x
#s(literal -12/29 binary64)
Outputs
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
#s(literal -12/29 binary64)
y
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
y
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
y
(-.f64 x #s(literal 4/29 binary64))
x
#s(literal 4/29 binary64)
#s(literal 3 binary64)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
y
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
#s(literal 3 binary64)
x
#s(literal -12/29 binary64)

localize61.0ms (1%)

Memory
10.0MiB live, 131.5MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
accuracy0.3301358417531397
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
accuracy0.3671875
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
accuracy0.00390625
(-.f64 x #s(literal 4/29 binary64))
accuracy0.06640625
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
accuracy0.28515625
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
accuracy0.0
(*.f64 #s(literal 3 binary64) x)
accuracy0.34324257039220296
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
accuracy35.55261651273651
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
accuracy0.34324257039220296
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
accuracy27.492883654747168
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.00390625
(-.f64 x #s(literal 4/29 binary64))
accuracy0.21484375
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
Samples
40.0ms238×0valid
5.0ms2valid
4.0ms13×1valid
Compiler

Compiled 104 to 23 computations (77.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-mult: 10.0ms (33.6% of total)
ival-div: 7.0ms (23.5% of total)
const: 7.0ms (23.5% of total)
ival-sub: 3.0ms (10.1% of total)
adjust: 1.0ms (3.4% of total)
ival-add: 1.0ms (3.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
13 → 34
Calls
Call 1
Inputs
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
Outputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-4/29
(- x 4/29)
-12/29
(- (* 3 x) 12/29)
(* 3 x)
(* -4/29 y)
(+ (* -4/29 y) (* x y))
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
y
@inf
((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms
x
@0
((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms
x
@-inf
((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms
x
@inf
((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))
1.0ms
y
@-inf
((* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* (* (- x (/ 16 116)) 3) y) (* (- x (/ 16 116)) 3) (* 3 x) (* (* y (- x 4/29)) 3) (* y (- x 4/29)) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (+ (* 3 x) -12/29))

simplify215.0ms (3.5%)

Memory
1.0MiB live, 120.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0108214
1274204
2650204
31309204
43537196
56118196
08131182
Stop Event
iter limit
node limit
Counts
34 → 33
Calls
Call 1
Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
-4/29
(- x 4/29)
-12/29
(- (* 3 x) 12/29)
(* 3 x)
(* -4/29 y)
(+ (* -4/29 y) (* x y))
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* x (- 3 (* 12/29 (/ 1 x))))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(* 3 (* y (- x 4/29)))
(* 3 y)
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -4/29 y)
(*.f64 #s(literal -4/29 binary64) y)
(+ (* -4/29 y) (* x y))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(fma.f64 #s(literal -841/48 binary64) x #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(fma.f64 (fma.f64 #s(literal -24389/192 binary64) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(fma.f64 (fma.f64 (fma.f64 #s(literal -707281/768 binary64) x #s(literal -24389/192 binary64)) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64))
(* 3 (* x y))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* x y)
(*.f64 y x)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)

rewrite204.0ms (3.4%)

Memory
3.6MiB live, 271.0MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02482
03581
19674
246173
3425073
0881473
Stop Event
iter limit
node limit
iter limit
Counts
13 → 1 238
Calls
Call 1
Inputs
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(-.f64 x #s(literal 4/29 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
#s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 y (-.f64 x #s(literal 4/29 binary64)))
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
Outputs
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 #s(literal 4/29 binary64) x)))
(*.f64 (/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (-.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (*.f64 x #s(literal 36/29 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (-.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 y (-.f64 x #s(literal 4/29 binary64)))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) y)) (-.f64 x #s(literal 4/29 binary64)))
(*.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)))
(*.f64 (/.f64 y (pow.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 y (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))) (sqrt.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 x #s(literal -4/29 binary64))))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) y))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (*.f64 (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (*.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)) y))
(*.f64 (neg.f64 y) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) (neg.f64 y))
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) y))
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y))
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(literal 3 binary64) y) (/.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 x #s(literal 4/29 binary64)))
(*.f64 #s(literal 3 binary64) (*.f64 y (-.f64 x #s(literal 4/29 binary64))))
(*.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (-.f64 x #s(literal 4/29 binary64)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (-.f64 x #s(literal 4/29 binary64)))) (/.f64 #s(literal 1/3 binary64) (*.f64 y (-.f64 x #s(literal 4/29 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x #s(literal -4/29 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 y (-.f64 x #s(literal 4/29 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (/.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (/.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (/.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal -1/2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 (neg.f64 y) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 (neg.f64 y) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 (neg.f64 y) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 (neg.f64 y) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 y (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (*.f64 y (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))))) (*.f64 (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))
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(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal -4/29 binary64) x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64)) (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))))
(/.f64 (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -20736/707281 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal 144/841 binary64))))
(/.f64 (-.f64 #s(literal 144/841 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 #s(literal 144/841 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)))
(/.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -2985984/594823321 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1296/841 binary64) #s(literal 20736/707281 binary64)))))
(/.f64 (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -2985984/594823321 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))))
(/.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal -5159780352/14507145975869 binary64)) (*.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 2985984/594823321 binary64) (*.f64 #s(literal -46656/24389 binary64) (pow.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (neg.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)))
(/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) (-.f64 x #s(literal 4/29 binary64))))
(/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -4/29 binary64)) (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64) #s(literal -192/24389 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 144/841 binary64) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (-.f64 x #s(literal 4/29 binary64))))
(/.f64 #s(literal 3 binary64) (pow.f64 (-.f64 x #s(literal 4/29 binary64)) #s(literal -1 binary64)))
(neg.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)))
(fma.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) x #s(literal -12/29 binary64))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64) #s(literal -12/29 binary64))
(fma.f64 #s(literal 9 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x) #s(literal -12/29 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) (/.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 3 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(fma.f64 x (exp.f64 (log.f64 #s(literal 3 binary64))) #s(literal -12/29 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 9 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(-.f64 (/.f64 #s(literal 144/841 binary64) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))))
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 12/29 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(+.f64 (neg.f64 (*.f64 #s(literal -3 binary64) x)) #s(literal -12/29 binary64))
(+.f64 (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal -12/29 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) #s(literal -12/29 binary64))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) #s(literal -12/29 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)) #s(literal -12/29 binary64))
(+.f64 (*.f64 (*.f64 #s(literal 9 binary64) x) (/.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)))) (neg.f64 (/.f64 #s(literal -144/841 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -12/29 binary64)))))
(+.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -12/29 binary64))
(+.f64 #s(literal -12/29 binary64) (neg.f64 (*.f64 #s(literal -3 binary64) x)))
(+.f64 #s(literal -12/29 binary64) (*.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)))
(+.f64 #s(literal -12/29 binary64) (*.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))
(+.f64 #s(literal -12/29 binary64) (*.f64 #s(literal 3 binary64) x))

eval292.0ms (4.8%)

Memory
-28.5MiB live, 261.1MiB allocated
Compiler

Compiled 16 837 to 2 696 computations (84% saved)

prune203.0ms (3.3%)

Memory
15.6MiB live, 55.2MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New8687875
Fresh314
Picked235
Done000
Total87311884
Accuracy
100.0%
Counts
884 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.7%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
56.8%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
99.6%
(*.f64 (fma.f64 y x (*.f64 #s(literal -4/29 binary64) y)) #s(literal 3 binary64))
99.5%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
99.6%
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
56.9%
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
57.0%
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
44.4%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
57.2%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
44.8%
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
44.8%
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Compiler

Compiled 191 to 178 computations (6.8% saved)

simplify6.0ms (0.1%)

Memory
7.7MiB live, 7.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1/3 binary64) x)
cost-diff0
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
cost-diff0
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff0
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
cost-diff0
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
cost-diff0
(*.f64 y #s(literal 3 binary64))
cost-diff0
#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff0
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
cost-diff0
(*.f64 #s(literal 3 binary64) y)
cost-diff0
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
cost-diff0
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
cost-diff0
(*.f64 #s(literal -4/29 binary64) y)
cost-diff1
(fma.f64 y x (*.f64 #s(literal -4/29 binary64) y))
cost-diff1
(*.f64 (fma.f64 y x (*.f64 #s(literal -4/29 binary64) y)) #s(literal 3 binary64))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
028109
041109
163106
2103103
3110101
4114101
0114101
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 (fma.f64 y x (*.f64 #s(literal -4/29 binary64) y)) #s(literal 3 binary64))
(fma.f64 y x (*.f64 #s(literal -4/29 binary64) y))
y
x
(*.f64 #s(literal -4/29 binary64) y)
#s(literal -4/29 binary64)
#s(literal 3 binary64)
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(*.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
x
#s(literal 3 binary64)
#s(literal -12/29 binary64)
y
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
y
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x
Outputs
(*.f64 (fma.f64 y x (*.f64 #s(literal -4/29 binary64) y)) #s(literal 3 binary64))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(fma.f64 y x (*.f64 #s(literal -4/29 binary64) y))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
y
x
(*.f64 #s(literal -4/29 binary64) y)
#s(literal -4/29 binary64)
#s(literal 3 binary64)
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 x y) #s(literal 3 binary64)))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
#s(literal 3 binary64)
y
x
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
(*.f64 y #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) y)
y
#s(literal 3 binary64)
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
x
#s(literal 3 binary64)
#s(literal -12/29 binary64)
y
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
y
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
x

localize418.0ms (6.9%)

Memory
-1.1MiB live, 83.8MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.34765625
(/.f64 #s(literal 1/3 binary64) x)
accuracy0.3671875
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
accuracy35.72281115937154
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
accuracy0.0
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
accuracy0.34324257039220296
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
accuracy0.0
(*.f64 y #s(literal 3 binary64))
accuracy0.21484375
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
accuracy27.483314744439383
#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy0.0
(*.f64 #s(literal 3 binary64) y)
accuracy0.20703125
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
accuracy35.26181512290811
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
accuracy0.015625
(fma.f64 y x (*.f64 #s(literal -4/29 binary64) y))
accuracy0.09765625
(*.f64 #s(literal -4/29 binary64) y)
accuracy0.28515625
(*.f64 (fma.f64 y x (*.f64 #s(literal -4/29 binary64) y)) #s(literal 3 binary64))
Samples
399.0ms238×0valid
4.0ms13×1valid
2.0ms2valid
Compiler

Compiled 97 to 27 computations (72.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 216.0ms
ival-mult: 191.0ms (88.5% of total)
const: 12.0ms (5.6% of total)
ival-div: 5.0ms (2.3% of total)
ival-add: 4.0ms (1.9% of total)
ival-sub: 2.0ms (0.9% of total)
adjust: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series184.0ms (3%)

Memory
-22.4MiB live, 16.5MiB allocated
Counts
14 → 36
Calls
Call 1
Inputs
(*.f64 (fma.f64 y x (*.f64 #s(literal -4/29 binary64) y)) #s(literal 3 binary64))
(fma.f64 y x (*.f64 #s(literal -4/29 binary64) y))
(*.f64 #s(literal -4/29 binary64) y)
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
Outputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(* 3 (* x y))
-4/29
(- x 4/29)
-12/29
(- (* 3 x) 12/29)
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(/ 1/3 x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* 3 y)
(* y (- (* 3 x) 12/29))
(* -3 (* y (+ 4/29 (* -1 x))))
(* -1 (* y (+ 4/29 (* -1 x))))
Calls

6 calls:

TimeVariablePointExpression
174.0ms
y
@inf
((* (+ (* y x) (* -4/29 y)) 3) (+ (* y x) (* -4/29 y)) (* -4/29 y) (* (- x 4/29) (* y 3)) (* (* 3 y) x) (* 3 y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x))
3.0ms
y
@-inf
((* (+ (* y x) (* -4/29 y)) 3) (+ (* y x) (* -4/29 y)) (* -4/29 y) (* (- x 4/29) (* y 3)) (* (* 3 y) x) (* 3 y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x))
2.0ms
y
@0
((* (+ (* y x) (* -4/29 y)) 3) (+ (* y x) (* -4/29 y)) (* -4/29 y) (* (- x 4/29) (* y 3)) (* (* 3 y) x) (* 3 y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x))
2.0ms
x
@0
((* (+ (* y x) (* -4/29 y)) 3) (+ (* y x) (* -4/29 y)) (* -4/29 y) (* (- x 4/29) (* y 3)) (* (* 3 y) x) (* 3 y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x))
1.0ms
x
@-inf
((* (+ (* y x) (* -4/29 y)) 3) (+ (* y x) (* -4/29 y)) (* -4/29 y) (* (- x 4/29) (* y 3)) (* (* 3 y) x) (* 3 y) (* (- x 4/29) (* y 3)) (- x 4/29) (* y 3) (* (+ (* x 3) -12/29) y) (+ (* x 3) -12/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)) (/ 1/3 x))

simplify385.0ms (6.3%)

Memory
29.0MiB live, 146.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113228
1292216
2735216
31436216
43834208
55917208
08149193
Stop Event
iter limit
node limit
Counts
36 → 35
Calls
Call 1
Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(* 3 (* x y))
-4/29
(- x 4/29)
-12/29
(- (* 3 x) 12/29)
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(/ 1/3 x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x y)
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(* 3 x)
(* x (- 3 (* 12/29 (/ 1 x))))
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* 3 y)
(* y (- (* 3 x) 12/29))
(* -3 (* y (+ 4/29 (* -1 x))))
(* -1 (* y (+ 4/29 (* -1 x))))
Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -4/29 y)
(*.f64 #s(literal -4/29 binary64) y)
(+ (* -4/29 y) (* x y))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
-12/29
#s(literal -12/29 binary64)
(- (* 3 x) 12/29)
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(fma.f64 #s(literal -841/48 binary64) x #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(fma.f64 (fma.f64 #s(literal -24389/192 binary64) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(fma.f64 (fma.f64 (fma.f64 #s(literal -707281/768 binary64) x #s(literal -24389/192 binary64)) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* x y)
(*.f64 x y)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (- 3 (* 12/29 (/ 1 x))))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (* x (- (* 12/29 (/ 1 x)) 3)))
(fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* 3 y)
(*.f64 #s(literal 3 binary64) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -3 (* y (+ 4/29 (* -1 x))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -1 (* y (+ 4/29 (* -1 x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)

rewrite181.0ms (3%)

Memory
-14.7MiB live, 234.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02892
04192
114189
267686
3551986
0806286
Stop Event
iter limit
node limit
iter limit
Counts
14 → 523
Calls
Call 1
Inputs
(*.f64 (fma.f64 y x (*.f64 #s(literal -4/29 binary64) y)) #s(literal 3 binary64))
(fma.f64 y x (*.f64 #s(literal -4/29 binary64) y))
(*.f64 #s(literal -4/29 binary64) y)
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 (*.f64 #s(literal 3 binary64) y) x)
(*.f64 #s(literal 3 binary64) y)
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(*.f64 y #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
Outputs
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) y) (+.f64 #s(literal 64/24389 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 16/841 binary64) (*.f64 #s(literal 4/29 binary64) x))))
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) y) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal 4/29 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 #s(literal 4/29 binary64) x)))
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y) (+.f64 (pow.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (-.f64 (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64)))) (fma.f64 (*.f64 (*.f64 y y) #s(literal -4/29 binary64)) (-.f64 x #s(literal 4/29 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal 3 binary64)) (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -16/841 binary64)))) (*.f64 (-.f64 x #s(literal 4/29 binary64)) y))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -4/29 binary64)) (-.f64 #s(literal -4/29 binary64) x)) #s(literal 2 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4/29 binary64) x) y) y)))
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -4/29 binary64)) (-.f64 #s(literal -4/29 binary64) x)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -4/29 binary64)) (-.f64 #s(literal -4/29 binary64) x)) (-.f64 (*.f64 (*.f64 (*.f64 y y) #s(literal -4/29 binary64)) (-.f64 #s(literal -4/29 binary64) x)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (-.f64 (*.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (*.f64 x #s(literal 36/29 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (-.f64 (fma.f64 x #s(literal 36/29 binary64) #s(literal 144/841 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -2 binary64))))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 1728/24389 binary64))) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (fma.f64 #s(literal -36/29 binary64) x #s(literal 144/841 binary64))))
(*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)))
(*.f64 (/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -16/841 binary64))) y) (/.f64 #s(literal 3 binary64) (-.f64 x #s(literal -4/29 binary64))))
(*.f64 (/.f64 #s(literal 3 binary64) y) (/.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -16/841 binary64))) (-.f64 x #s(literal -4/29 binary64))))
(*.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) #s(literal 3 binary64)) y) (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) #s(literal 3 binary64)) y) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 4/29 binary64) x #s(literal 16/841 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1728/24389 binary64)) y) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -36/29 binary64)) #s(literal 144/841 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) y) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -16/841 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) y) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 (*.f64 y y) #s(literal -4/29 binary64)) (-.f64 #s(literal -4/29 binary64) x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) y) (-.f64 x #s(literal -4/29 binary64))))
(*.f64 (fma.f64 x x #s(literal -16/841 binary64)) (*.f64 (pow.f64 (-.f64 x #s(literal -4/29 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) y)))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (/.f64 y (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64))))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -144/841 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 12/29 binary64)) #s(literal -1 binary64)) y))
(*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -16/841 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 (-.f64 x #s(literal -4/29 binary64)) y)))
(*.f64 (*.f64 (*.f64 y y) (fma.f64 x x #s(literal -16/841 binary64))) (*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal -4/29 binary64)) y) #s(literal -1 binary64)) #s(literal 3 binary64)))
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(neg.f64 (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
#s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1/3 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal -1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/3 binary64) x))
(*.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/3 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))
(/.f64 #s(literal -1/3 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) x)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/3 binary64) x)))
(neg.f64 (/.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/3 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 3 binary64) x)) #s(literal -1 binary64)))

eval53.0ms (0.9%)

Memory
-24.4MiB live, 140.1MiB allocated
Compiler

Compiled 8 045 to 1 280 computations (84.1% saved)

prune14.0ms (0.2%)

Memory
9.6MiB live, 54.2MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New4322434
Fresh213
Picked055
Done033
Total43411445
Accuracy
100.0%
Counts
445 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.7%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
56.8%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
99.6%
(*.f64 (fma.f64 y x (*.f64 #s(literal -4/29 binary64) y)) #s(literal 3 binary64))
99.5%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
56.9%
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
99.6%
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
57.0%
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
44.8%
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
44.4%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
57.2%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
44.8%
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Compiler

Compiled 113 to 105 computations (7.1% saved)

simplify6.0ms (0.1%)

Memory
-18.8MiB live, 20.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
cost-diff0
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
cost-diff0
#s(approx (- x 4/29) #s(literal -4/29 binary64))
cost-diff0
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
cost-diff0
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
cost-diff0
(*.f64 x y)
cost-diff0
#s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y))
cost-diff0
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02376
02876
14272
25272
35572
05570
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
#s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
y
#s(literal 3 binary64)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
y
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
#s(literal -29/12 binary64)
Outputs
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)))
#s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y))
(*.f64 x y)
x
y
#s(literal 3 binary64)
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
#s(literal -4/29 binary64)
y
#s(literal 3 binary64)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
y
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
#s(literal -29/12 binary64)

localize52.0ms (0.9%)

Memory
32.4MiB live, 110.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.3671875
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
accuracy27.326048511233317
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
accuracy0.06640625
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
accuracy0.28515625
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
accuracy27.483314744439383
#s(approx (- x 4/29) #s(literal -4/29 binary64))
accuracy0.0
(*.f64 x y)
accuracy0.28515625
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
accuracy35.26357421016786
#s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y))
Samples
43.0ms256×0valid
Compiler

Compiled 60 to 22 computations (63.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
const: 13.0ms (41.6% of total)
ival-mult: 11.0ms (35.2% of total)
ival-div: 3.0ms (9.6% of total)
ival-add: 2.0ms (6.4% of total)
ival-sub: 1.0ms (3.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
-24.7MiB live, 18.4MiB allocated
Counts
8 → 30
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
#s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y))
(*.f64 x y)
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
Outputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(* x y)
-4/29
(- x 4/29)
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
(* -3 (* y (+ 4/29 (* -1 x))))
(* -1 (* y (+ 4/29 (* -1 x))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
y
@0
((* (+ (* y x) (* -4/29 y)) 3) (+ (* y x) (* -4/29 y)) (* x y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
2.0ms
y
@-inf
((* (+ (* y x) (* -4/29 y)) 3) (+ (* y x) (* -4/29 y)) (* x y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms
y
@inf
((* (+ (* y x) (* -4/29 y)) 3) (+ (* y x) (* -4/29 y)) (* x y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms
x
@-inf
((* (+ (* y x) (* -4/29 y)) 3) (+ (* y x) (* -4/29 y)) (* x y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))
1.0ms
x
@inf
((* (+ (* y x) (* -4/29 y)) 3) (+ (* y x) (* -4/29 y)) (* x y) (* (* (- x 4/29) y) 3) (* (- x 4/29) y) (- x 4/29) (/ y (/ 1 (+ (* 3 x) -12/29))) (/ 1 (+ (* 3 x) -12/29)))

simplify135.0ms (2.2%)

Memory
-0.8MiB live, 111.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0107206
1272194
2674194
31316194
43700186
55920186
08184174
Stop Event
iter limit
node limit
Counts
30 → 29
Calls
Call 1
Inputs
(* -12/29 y)
(+ (* -12/29 y) (* 3 (* x y)))
(* -4/29 y)
(+ (* -4/29 y) (* x y))
(* x y)
-4/29
(- x 4/29)
-29/12
(- (* -841/48 x) 29/12)
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(* 3 (* x y))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(* x (+ y (* -4/29 (/ y x))))
x
(* x (- 1 (* 4/29 (/ 1 x))))
(/ 1/3 x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(* 3 (* y (- x 4/29)))
(* y (- x 4/29))
(* y (- (* 3 x) 12/29))
(* -3 (* y (+ 4/29 (* -1 x))))
(* -1 (* y (+ 4/29 (* -1 x))))
Outputs
(* -12/29 y)
(*.f64 #s(literal -12/29 binary64) y)
(+ (* -12/29 y) (* 3 (* x y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -4/29 y)
(*.f64 #s(literal -4/29 binary64) y)
(+ (* -4/29 y) (* x y))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* x y)
(*.f64 x y)
-4/29
#s(literal -4/29 binary64)
(- x 4/29)
(-.f64 x #s(literal 4/29 binary64))
-29/12
#s(literal -29/12 binary64)
(- (* -841/48 x) 29/12)
(fma.f64 #s(literal -841/48 binary64) x #s(literal -29/12 binary64))
(- (* x (- (* -24389/192 x) 841/48)) 29/12)
(fma.f64 (fma.f64 #s(literal -24389/192 binary64) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64))
(- (* x (- (* x (- (* -707281/768 x) 24389/192)) 841/48)) 29/12)
(fma.f64 (fma.f64 (fma.f64 #s(literal -707281/768 binary64) x #s(literal -24389/192 binary64)) x #s(literal -841/48 binary64)) x #s(literal -29/12 binary64))
(* 3 (* x y))
(*.f64 (*.f64 x y) #s(literal 3 binary64))
(* x (+ (* -12/29 (/ y x)) (* 3 y)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* x (+ y (* -4/29 (/ y x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
x
(* x (- 1 (* 4/29 (/ 1 x))))
(-.f64 x #s(literal 4/29 binary64))
(/ 1/3 x)
(/.f64 #s(literal 1/3 binary64) x)
(/ (+ 1/3 (* 4/87 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 4/87 binary64) x) #s(literal 1/3 binary64)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (* 4/87 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x)
(/ (+ 1/3 (+ (/ 16/2523 (pow x 2)) (+ (* 4/87 (/ 1 x)) (* 64/73167 (/ 1 (pow x 3)))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* -1 (* x (+ (* -3 y) (* 12/29 (/ y x)))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -1 (* x (+ (* -1 y) (* 4/29 (/ y x)))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* -1 (* x (- (* 4/29 (/ 1 x)) 1)))
(-.f64 x #s(literal 4/29 binary64))
(* -1 (/ (- (* -1 (/ (+ 4/87 (* 16/2523 (/ 1 x))) x)) 1/3) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 4/87 (+ (/ 64/73167 (pow x 2)) (* 16/2523 (/ 1 x)))) x)) 1/3) x))
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 16/2523 binary64) x) #s(literal -4/87 binary64)) x) #s(literal -1/3 binary64)) (/.f64 #s(literal -64/73167 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(* 3 (* y (- x 4/29)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* y (- x 4/29))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)
(* y (- (* 3 x) 12/29))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -3 (* y (+ 4/29 (* -1 x))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64)) y)
(* -1 (* y (+ 4/29 (* -1 x))))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) y)

rewrite213.0ms (3.5%)

Memory
2.3MiB live, 279.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02368
02868
19764
254464
3465464
0835662
Stop Event
iter limit
node limit
iter limit
Counts
8 → 60
Calls
Call 1
Inputs
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
#s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y))
(*.f64 x y)
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
Outputs
(*.f64 #s(literal 3 binary64) #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)))
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
#s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y))
(*.f64 (exp.f64 (log.f64 y)) x)
(*.f64 x (exp.f64 (log.f64 y)))
(*.f64 x y)
(*.f64 y x)
(pow.f64 (*.f64 x y) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x y)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x y)))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)) y)
(*.f64 (*.f64 #s(literal 3 binary64) y) #s(approx (- x 4/29) #s(literal -4/29 binary64)))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) y))
(*.f64 #s(literal 3 binary64) (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y))
(*.f64 y (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) #s(literal 3 binary64)))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y)
(*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64)))
#s(approx (- x 4/29) #s(literal -4/29 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(*.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) (neg.f64 y))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(*.f64 (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(*.f64 y (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y) (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y) #s(literal -1 binary64))
(pow.f64 (/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 (neg.f64 y) #s(literal -1 binary64)) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64)))
(/.f64 (neg.f64 y) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) y))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))))
(neg.f64 (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) y)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(*.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(pow.f64 (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal 1 binary64))
#s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal -1 binary64))
(/.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64))) #s(literal -1 binary64))))

eval8.0ms (0.1%)

Memory
26.0MiB live, 26.0MiB allocated
Compiler

Compiled 1 071 to 203 computations (81% saved)

prune9.0ms (0.2%)

Memory
-17.1MiB live, 21.6MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New75075
Fresh000
Picked033
Done088
Total751186
Accuracy
100.0%
Counts
86 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
44.7%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
56.8%
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
99.6%
(*.f64 (fma.f64 y x (*.f64 #s(literal -4/29 binary64) y)) #s(literal 3 binary64))
99.5%
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
56.9%
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
99.6%
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
57.0%
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
44.8%
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
44.4%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
57.2%
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
44.8%
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Compiler

Compiled 307 to 189 computations (38.4% saved)

regimes32.0ms (0.5%)

Memory
18.4MiB live, 63.5MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (fma.f64 y x (*.f64 #s(literal -4/29 binary64) y)) #s(literal 3 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 y #s(literal -4/29 binary64)) (*.f64 #s(literal 3 binary64) (*.f64 y x)))
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) (/.f64 #s(literal 1/3 binary64) x)))
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -12/29 binary64))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x #s(literal -16/841 binary64)) y) #s(literal 3 binary64)) (-.f64 x #s(literal -4/29 binary64)))
Outputs
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
Calls

5 calls:

9.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
6.0ms
y
6.0ms
x
5.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
5.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.7%1x
99.7%1y
99.7%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
99.7%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
99.7%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes22.0ms (0.4%)

Memory
-28.0MiB live, 49.5MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
Outputs
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
Calls

5 calls:

5.0ms
x
4.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
4.0ms
y
4.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1y
99.6%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
99.6%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
99.6%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes20.0ms (0.3%)

Memory
9.3MiB live, 47.7MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(/.f64 y #s(approx (/ 1 (+ (* 3 x) -12/29)) #s(literal -29/12 binary64)))
Outputs
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
Calls

5 calls:

5.0ms
x
4.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
4.0ms
y
3.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
3.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
99.5%1x
99.5%1y
99.5%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
99.5%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
99.5%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes19.0ms (0.3%)

Memory
9.9MiB live, 53.8MiB allocated
Counts
9 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
(*.f64 #s(approx (+ (* y x) (* -4/29 y)) (*.f64 x y)) #s(literal 3 binary64))
(*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 y #s(approx (- x 4/29) #s(literal -4/29 binary64))) #s(literal 3 binary64))
(*.f64 (*.f64 #s(approx (- x 4/29) #s(literal -4/29 binary64)) y) #s(literal 3 binary64))
Outputs
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
(*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)
Calls

5 calls:

6.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
3.0ms
y
3.0ms
x
3.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
3.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Results
AccuracySegmentsBranch
97.8%3x
62.9%3y
81.8%3(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
97.8%3(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
97.8%3(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 23 to 27 computations (-17.4% saved)

regimes6.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
Outputs
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
(*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))
Calls

3 calls:

2.0ms
x
2.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
2.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
Results
AccuracySegmentsBranch
97.8%3x
97.8%3(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
97.8%3(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes6.0ms (0.1%)

Memory
-28.8MiB live, 10.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
#s(approx (* (- x 4/29) (* y 3)) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Outputs
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
#s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x))
Calls

3 calls:

3.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
2.0ms
x
2.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Results
AccuracySegmentsBranch
97.8%3x
97.8%3(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
97.8%3(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes6.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
Outputs
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
Calls

5 calls:

1.0ms
x
1.0ms
(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
1.0ms
(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
1.0ms
y
1.0ms
(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Results
AccuracySegmentsBranch
57.2%1y
57.2%1(*.f64 (*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64)) y)
57.2%1x
57.2%1(*.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal 3 binary64))
57.2%1(-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64)))
Compiler

Compiled 23 to 27 computations (-17.4% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.1379310344827576
6.433595689133879
0.0ms
-14363.25347257136
-0.13860468643969306
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.1379310344827576
6.433595689133879
0.0ms
-14363.25347257136
-0.13860468643969306
Compiler

Compiled 12 to 14 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.1379310344827576
6.433595689133879
0.0ms
-14363.25347257136
-0.13860468643969306
Compiler

Compiled 12 to 14 computations (-16.7% saved)

simplify87.0ms (1.4%)

Memory
-5.6MiB live, 72.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042152
157152
289152
3163152
4262152
5357152
6594152
76135152
Stop Event
node limit
Calls
Call 1
Inputs
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -10000 binary64)) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -10000 binary64)) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -10000 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)
Outputs
(*.f64 (-.f64 x #s(literal 4/29 binary64)) (*.f64 y #s(literal 3 binary64)))
(*.f64 (*.f64 y (-.f64 x #s(literal 4/29 binary64))) #s(literal 3 binary64))
(*.f64 (fma.f64 x #s(literal 3 binary64) #s(literal -12/29 binary64)) y)
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -10000 binary64)) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* (- x (/ 16 116)) 3) (*.f64 #s(literal 3 binary64) x)) y)))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -10000 binary64)) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64))))
(if (or (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -10000 binary64)) (not (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)))) (*.f64 #s(approx (* y (- x 4/29)) (*.f64 y x)) #s(literal 3 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y))
(if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -10000 binary64)) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (if (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x))))
(if (or (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -10000 binary64)) (not (<=.f64 (-.f64 x (/.f64 #s(literal 16 binary64) #s(literal 116 binary64))) #s(literal -3602879701896397/36028797018963968 binary64)))) #s(approx (* (* (- x (/ 16 116)) 3) y) (*.f64 (*.f64 #s(literal 3 binary64) y) x)) (*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y))
(*.f64 #s(approx (* (- x (/ 16 116)) 3) #s(literal -12/29 binary64)) y)

soundness1.4s (22.5%)

Memory
15.9MiB live, 447.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04274
111266
229866
362366
4158166
5270966
6371266
7419966
8437266
9439266
10440666
11514066
12552066
13574666
14619766
15655966
16656566
17657766
18657766
0860259
0108214
1274204
2650204
31309204
43537196
56118196
08131182
0916
01416
13516
216416
3126316
0836214
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 302 to 153 computations (49.3% saved)

preprocess82.0ms (1.3%)

Memory
-21.7MiB live, 100.0MiB allocated
Remove

(negabs y)

Compiler

Compiled 374 to 140 computations (62.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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