Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Time bar (total: 4.7s)

analyze1.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%0%0%0%0%3
87.5%87.5%12.5%0%0%0%0%4
93.8%93.7%6.2%0%0%0%0%5
96.9%96.8%3.1%0%0%0%0%6
98.4%98.4%1.6%0%0%0%0%7
99.2%99.2%0.8%0%0%0%0%8
99.6%99.6%0.4%0%0%0%0%9
99.8%99.8%0.2%0%0%0%0%10
99.9%99.9%0.1%0%0%0%0%11
100%99.9%0%0%0%0%0%12
Compiler

Compiled 7 to 6 computations (14.3% saved)

sample504.0ms (10.8%)

Memory
27.4MiB live, 939.5MiB allocated
Samples
309.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 156.0ms
ival-sub: 80.0ms (51.4% of total)
ival-div: 62.0ms (39.8% of total)
ival-true: 6.0ms (3.9% of total)
exact: 5.0ms (3.2% of total)
ival-assert: 3.0ms (1.9% of total)
Bogosity

preprocess22.0ms (0.5%)

Memory
-3.2MiB live, 34.2MiB allocated
Algorithm
egg-herbie
Rules
44×associate-*l*
42×times-frac
36×lower-+.f64
36×lower-+.f32
34×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0615
12011
24710
310010
419510
528410
629510
730910
832210
045
065
1105
2145
3195
4265
5365
6515
7745
8965
91045
101065
01065
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))

explain43.0ms (0.9%)

Memory
6.5MiB live, 84.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 x (-.f64 #s(literal 1 binary64) x))
00-0-(-.f64 #s(literal 1 binary64) x)
00-0-#s(literal 1 binary64)
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
18.0ms512×0valid
Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 4.0ms (53.1% of total)
ival-sub: 3.0ms (39.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify9.0ms (0.2%)

Memory
-31.2MiB live, 11.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Rules
36×lower-+.f64
36×lower-+.f32
26×sub-neg
26×lower--.f32
24×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
0610
11010
21410
31910
42610
53610
65110
77410
89610
910410
1010610
010610
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)

localize15.0ms (0.3%)

Memory
27.8MiB live, 27.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
Samples
8.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 2.0ms (53.1% of total)
ival-div: 2.0ms (53.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/.f64 x (-.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 #s(literal 1 binary64) x)>
Outputs
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)>
#<alt (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)>
#<alt 1>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (+ 1 (* -1 x))>
#<alt (* -1 x)>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* x (- (/ 1 x) 1))>
#<alt (* -1 x)>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
#<alt (* -1 (* x (- 1 (/ 1 x))))>
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(/ x (- 1 x))
0.0ms
x
@inf
(- 1 x)
0.0ms
x
@-inf
(/ x (- 1 x))
0.0ms
x
@0
(/ x (- 1 x))
0.0ms
x
@-inf
(- 1 x)

rewrite312.0ms (6.7%)

Memory
-31.5MiB live, 374.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 858×lower-/.f32
3 856×lower-/.f64
3 778×lower-fma.f64
3 778×lower-fma.f32
2 920×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
068
1298
21838
316128
093478
Stop Event
iter limit
node limit
iter limit
Counts
2 → 425
Calls
Call 1
Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x x)))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x x)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) x))
(+.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) x) (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 x (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) (fma.f64 x x x)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x x)))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x x) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) x))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) x (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) x))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(neg.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 x (fma.f64 (fma.f64 x x x) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x x) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (fma.f64 x x x) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (fma.f64 x x x) (+.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x x x) x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
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(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))

simplify228.0ms (4.9%)

Memory
4.5MiB live, 239.2MiB allocated
Algorithm
egg-herbie
Rules
4 624×lower-fma.f64
4 624×lower-fma.f32
1 550×unsub-neg
1 096×lower-*.f64
1 096×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033135
193120
2220114
3546112
41048112
51960112
63386112
74530112
84646112
94646112
104808112
114883112
124883112
04883109
Stop Event
iter limit
saturated
Counts
24 → 23
Calls
Call 1
Inputs
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
1
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(+ 1 (* -1 x))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* x (- (/ 1 x) 1))
(* -1 x)
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 x (fma.f64 x x x) x)
(* x (+ 1 (* x (+ 1 (* x (+ 1 x))))))
(*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

eval55.0ms (1.2%)

Memory
14.3MiB live, 128.0MiB allocated
Compiler

Compiled 12 144 to 1 267 computations (89.6% saved)

prune88.0ms (1.9%)

Memory
-4.2MiB live, 79.1MiB allocated
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4453448
Fresh000
Picked011
Done000
Total4454449
Accuracy
100.0%
Counts
449 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(fma.f64 x (fma.f64 x x x) x)
55.5%
(fma.f64 x x x)
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
45.4%
#s(literal -1 binary64)
Compiler

Compiled 21 to 11 computations (47.6% saved)

simplify8.0ms (0.2%)

Memory
9.9MiB live, 9.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x x)
cost-diff0
(fma.f64 x (fma.f64 x x x) x)
cost-diff0
(fma.f64 x x x)
Rules
118×lower-fma.f32
114×lower-fma.f64
66×lower-*.f64
66×lower-*.f32
44×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0418
0818
11818
23618
35518
46918
59218
69218
09218
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(literal -1 binary64)
(fma.f64 x x x)
x
(fma.f64 x (fma.f64 x x x) x)
x
(fma.f64 x x x)
Outputs
#s(literal -1 binary64)
(fma.f64 x x x)
x
(fma.f64 x (fma.f64 x x x) x)
x
(fma.f64 x x x)

localize109.0ms (2.3%)

Memory
-11.2MiB live, 26.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x x x)
accuracy99.9%
(fma.f64 x (fma.f64 x x x) x)
accuracy100.0%
(fma.f64 x x x)
Samples
102.0ms256×0valid
Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 96.0ms
ival-mult: 94.0ms (97.7% of total)
ival-add: 2.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (fma.f64 x x x)>
#<alt (fma.f64 x (fma.f64 x x x) x)>
Outputs
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (* x (+ 1 (* x (+ 1 x))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))>
#<alt (pow x 3)>
#<alt (* (pow x 3) (+ 1 (/ 1 x)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))>
Calls

6 calls:

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

rewrite755.0ms (16.1%)

Memory
36.5MiB live, 631.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 276×lower-fma.f32
9 272×lower-fma.f64
4 364×lower-*.f64
4 364×lower-*.f32
3 032×lower-pow.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0311
0711
14011
231211
3400211
0877611
Stop Event
iter limit
node limit
iter limit
Counts
2 → 239
Calls
Call 1
Inputs
(fma.f64 x x x)
(fma.f64 x (fma.f64 x x x) x)
Outputs
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(+.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 x (*.f64 x x))))
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x (/.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 x (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (fma.f64 x x x) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 x (fma.f64 x (fma.f64 x x x) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (*.f64 x x))
(neg.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (neg.f64 (fma.f64 x (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 x x)))))
(neg.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (neg.f64 (-.f64 (*.f64 x x) x))))
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (fma.f64 x (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 x x))))
(neg.f64 (/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (-.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (fma.f64 x (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 x x)))
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)) (-.f64 (*.f64 x x) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (neg.f64 (fma.f64 x (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (neg.f64 (-.f64 (*.f64 x x) x)))
(/.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (fma.f64 x (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))) (-.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 (fma.f64 x (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 x x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (*.f64 (-.f64 (*.f64 x x) x) (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x))))))
(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) (*.f64 (-.f64 (*.f64 x x) x) (*.f64 x (fma.f64 x (*.f64 x x) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (*.f64 (-.f64 (*.f64 x x) x) (*.f64 x x))) (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))))) (fma.f64 x (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (fma.f64 x (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 x (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)))) (-.f64 (*.f64 x x) x)))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (-.f64 (*.f64 x x) x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)))) (neg.f64 (neg.f64 (fma.f64 x (*.f64 x (-.f64 (*.f64 x x) x)) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) x)))) (neg.f64 (neg.f64 (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 x (*.f64 x x))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x))) (/.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x)))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(/.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x)))) (-.f64 (*.f64 x (fma.f64 x x x)) x)) #s(literal 3 binary64)) (*.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 x x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 x x x)) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 x x x)) x)))) (fma.f64 (/.f64 (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x)))) (-.f64 (*.f64 x (fma.f64 x x x)) x)) (/.f64 (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x)))) (-.f64 (*.f64 x (fma.f64 x x x)) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 x x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 x x x)) x)) (*.f64 (/.f64 (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x)))) (-.f64 (*.f64 x (fma.f64 x x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 x x x)) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (-.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x x)))
(/.f64 (-.f64 (*.f64 (fma.f64 x (*.f64 x x) x) (fma.f64 x (*.f64 x x) x)) (*.f64 x (*.f64 x (*.f64 x x)))) (-.f64 (fma.f64 x (*.f64 x x) x) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x)))) (-.f64 (*.f64 x (fma.f64 x x x)) x)) (/.f64 (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x)))) (-.f64 (*.f64 x (fma.f64 x x x)) x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 x x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 x x x)) x)))) (fma.f64 (fma.f64 x x x) (/.f64 (*.f64 x (*.f64 x (fma.f64 x x x))) (-.f64 (*.f64 x (fma.f64 x x x)) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x (fma.f64 x x x)) x))))
(/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (*.f64 x (fma.f64 x x x)) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x)))) (fma.f64 (*.f64 x (fma.f64 x x x)) (*.f64 (*.f64 x (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x)))))) (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x))))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x))))))))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x x x))) (*.f64 x (fma.f64 x x x))) (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x)))) (fma.f64 (fma.f64 x x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x x x))) (*.f64 x (fma.f64 x x x))) (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x x x))) (*.f64 x (fma.f64 x x x))) (neg.f64 (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 x x x)) x))) (fma.f64 x (*.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) x))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 x x x)) x))) (*.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 x x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x x) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x x) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 x (fma.f64 x x x))) (*.f64 x (-.f64 x (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x)))))) #s(literal -1 binary64))
(*.f64 x (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x (fma.f64 x x x) x) (*.f64 (-.f64 (*.f64 x (fma.f64 x x x)) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 x x x)) x))))
(*.f64 (fma.f64 x (fma.f64 x x x) x) (/.f64 (-.f64 (*.f64 x (fma.f64 x x x)) x) (-.f64 (*.f64 x (fma.f64 x x x)) x)))
(*.f64 (*.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x)) (*.f64 (fma.f64 x (fma.f64 x x x) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x)) (/.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x))))
(*.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) x)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 x x x)) x)))
(*.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x x) x))
(*.f64 (neg.f64 (*.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x)))))
(*.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 x (fma.f64 x x x)) x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x))) (*.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 x x x)) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (fma.f64 x x x)) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) x))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x (fma.f64 x x x)))))
(*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) x)
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) x)) (*.f64 x (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) x))) (fma.f64 x (fma.f64 x x x) x))
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 (-.f64 x (*.f64 x (fma.f64 x x x))) (-.f64 x (*.f64 x (fma.f64 x x x)))) (-.f64 x (*.f64 x (fma.f64 x x x)))) (*.f64 (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x)))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))))) (fma.f64 (*.f64 x (-.f64 x (*.f64 x (fma.f64 x x x)))) (-.f64 (*.f64 x (-.f64 x (*.f64 x (fma.f64 x x x)))) (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x))))) (*.f64 x (*.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x))))))))
(*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (-.f64 x (*.f64 x (fma.f64 x x x))))))) (*.f64 x (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (-.f64 x (*.f64 x (fma.f64 x x x))))))
(*.f64 (/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) x)) (fma.f64 (fma.f64 x x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x x x))) (*.f64 x (fma.f64 x x x))) (neg.f64 (*.f64 x (*.f64 x x))))) (fma.f64 x (fma.f64 x (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x)) (fma.f64 (*.f64 x x) (*.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x (*.f64 x x))))) (pow.f64 (*.f64 x (fma.f64 x x x)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (fma.f64 x x x)) (*.f64 (*.f64 x (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x)))))) (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x))))) (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x)))))))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 x x)) (*.f64 (*.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x x x))) (*.f64 x (fma.f64 x x x))) (neg.f64 (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x x x))) (*.f64 x (fma.f64 x x x))) (neg.f64 (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 (*.f64 (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x))) (fma.f64 (fma.f64 x x x) (*.f64 (*.f64 x (*.f64 x (fma.f64 x x x))) (*.f64 x (fma.f64 x x x))) (neg.f64 (*.f64 x (*.f64 x x)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (*.f64 (fma.f64 x x x) (*.f64 x (*.f64 x (fma.f64 x x x))))) (*.f64 (*.f64 x x) (*.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 x (fma.f64 x x x)) x) (*.f64 (*.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x))) x)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 1 binary64)) (*.f64 x x))))

simplify255.0ms (5.5%)

Memory
-38.8MiB live, 287.5MiB allocated
Algorithm
egg-herbie
Rules
6 336×lower-fma.f64
6 336×lower-fma.f32
2 346×lower-*.f64
2 346×lower-*.f32
1 396×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024136
175136
2207132
3678132
42231132
55105132
08270108
Stop Event
iter limit
node limit
Counts
24 → 22
Calls
Call 1
Inputs
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
x
(* x (+ 1 x))
(* x (+ 1 (* x (+ 1 x))))
(* x (+ 1 (* x (+ 1 x))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (+ 1 (/ 1 x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
Outputs
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 x (fma.f64 x x x) x)
(* x (+ 1 (* x (+ 1 x))))
(fma.f64 x (fma.f64 x x x) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x x x) x)
(* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x x x) x)
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (+ 1 (/ 1 x)))
(*.f64 x (fma.f64 x x x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(fma.f64 x (fma.f64 x x x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1)))
(fma.f64 x (fma.f64 x x x) x)

eval44.0ms (0.9%)

Memory
5.3MiB live, 123.9MiB allocated
Compiler

Compiled 11 635 to 668 computations (94.3% saved)

prune47.0ms (1%)

Memory
-2.7MiB live, 74.3MiB allocated
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3522354
Fresh000
Picked033
Done011
Total3526358
Accuracy
100.0%
Counts
358 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(fma.f64 x (fma.f64 x x x) x)
55.5%
(fma.f64 x x x)
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
55.5%
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
3.8%
(*.f64 x x)
45.4%
#s(literal -1 binary64)
Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify5.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff0
(*.f64 x x)
Rules
22×lower-*.f32
18×lower-*.f64
14×lower-fma.f64
14×lower-fma.f32
distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0514
0814
11214
21814
32014
42814
52814
02813
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 x x)
x
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
Outputs
(*.f64 x x)
x
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)

localize19.0ms (0.4%)

Memory
3.3MiB live, 41.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy100.0%
(*.f64 x x)
Samples
12.0ms256×0valid
Compiler

Compiled 16 to 7 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 4.0ms (64.5% of total)
ival-add: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (*.f64 x x)>
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) x)>
#<alt (+.f64 x #s(literal 1 binary64))>
Outputs
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt x>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (* x (+ 1 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt (* (pow x 2) (+ 1 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
Calls

9 calls:

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

rewrite375.0ms (8%)

Memory
18.5MiB live, 537.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
10 822×lower-fma.f64
10 822×lower-fma.f32
3 708×lower-/.f64
3 708×lower-/.f32
3 510×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0811
12611
213811
3111211
0846110
Stop Event
iter limit
node limit
iter limit
Counts
3 → 375
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
Outputs
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(neg.f64 (*.f64 x (neg.f64 x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(+.f64 (*.f64 x x) (neg.f64 (neg.f64 x)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(+.f64 (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) x))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) x) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) x))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x x)))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x x)) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) x))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (fma.f64 x (*.f64 (*.f64 x x) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))))
(+.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) (*.f64 x (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))))
(+.f64 (*.f64 x (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 x (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (fma.f64 x x x) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 x (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (*.f64 x x) (neg.f64 x))
(-.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x)) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 x (*.f64 x x))))
(fma.f64 x x x)
(fma.f64 x x (neg.f64 (neg.f64 x)))
(fma.f64 x x (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 x x (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 x x (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))
(fma.f64 x (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))))
(fma.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (*.f64 x (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) x) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))))
(fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x))
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(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (+.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))))
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1/2 binary64)))

simplify393.0ms (8.4%)

Memory
-12.2MiB live, 321.9MiB allocated
Algorithm
egg-herbie
Rules
6 356×lower-*.f64
6 356×lower-*.f32
3 464×cube-prod
2 454×lower-/.f32
2 454×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010118
132118
240118
3111118
41855118
52854118
63410118
74076118
84906118
95179118
105349118
115490118
125618118
135896118
146842118
157253118
167424118
177554118
187674118
197710118
207727118
217745118
227763118
237782118
247883118
08560109
Stop Event
iter limit
node limit
Counts
36 → 33
Calls
Call 1
Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
x
(* x (+ 1 x))
(* x (+ 1 x))
(* x (+ 1 x))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
Outputs
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(* x (+ 1 x))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))

eval48.0ms (1%)

Memory
-7.9MiB live, 105.9MiB allocated
Compiler

Compiled 10 467 to 960 computations (90.8% saved)

prune46.0ms (1%)

Memory
-13.3MiB live, 104.4MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New4071408
Fresh000
Picked112
Done044
Total4086414
Accuracy
100.0%
Counts
414 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(fma.f64 x (fma.f64 x x x) x)
55.5%
(fma.f64 x x x)
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
55.5%
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
56.4%
(*.f64 #s(literal 1 binary64) x)
45.4%
#s(literal -1 binary64)
Compiler

Compiled 31 to 18 computations (41.9% saved)

simplify4.0ms (0.1%)

Memory
4.6MiB live, 4.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 #s(literal 1 binary64) x)
Rules
lower-*.f32
*-commutative
lower-*.f64
1-exp
lift-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035
043
173
283
083
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
Outputs
(*.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
x

localize11.0ms (0.2%)

Memory
13.1MiB live, 13.1MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 #s(literal 1 binary64) x)
Samples
6.0ms256×0valid
Compiler

Compiled 7 to 5 computations (28.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 2.0ms (96.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1 binary64) x)>
Outputs
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
Calls

3 calls:

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

rewrite8.0ms (0.2%)

Memory
6.9MiB live, 6.9MiB allocated
Algorithm
batch-egg-rewrite
Rules
lower-*.f32
lower-*.f64
*-commutative
1-exp
lift-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
041
171
281
081
Stop Event
iter limit
saturated
iter limit
Counts
1 → 3
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) x)
Outputs
x
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))

simplify3.0ms (0.1%)

Memory
1.9MiB live, 1.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0112
0112
Stop Event
saturated
saturated
Counts
12 → 0
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
Outputs
x
x
x
x
x
x
x
x
x
x
x
x

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 8 to 4 computations (50% saved)

prune14.0ms (0.3%)

Memory
-33.4MiB live, 4.7MiB allocated
Pruning

6 alts after pruning (1 fresh and 5 done)

PrunedKeptTotal
New213
Fresh000
Picked101
Done055
Total369
Accuracy
100.0%
Counts
9 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
56.3%
(fma.f64 x (fma.f64 x x x) x)
55.5%
(fma.f64 x x x)
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
55.5%
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
56.4%
x
45.4%
#s(literal -1 binary64)
Compiler

Compiled 59 to 27 computations (54.2% saved)

regimes7.0ms (0.2%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(*.f64 #s(literal 1 binary64) x)
(*.f64 x x)
(fma.f64 x x x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (fma.f64 x x x) x)
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

4.0ms
(/.f64 x (-.f64 #s(literal 1 binary64) x))
3.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes6.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(*.f64 #s(literal 1 binary64) x)
(*.f64 x x)
(fma.f64 x x x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x (fma.f64 x x x) x)
Outputs
#s(literal -1 binary64)
(fma.f64 x (fma.f64 x x x) x)
Calls

2 calls:

3.0ms
x
2.0ms
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.7%3x
98.7%2(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(*.f64 #s(literal 1 binary64) x)
(*.f64 x x)
(fma.f64 x x x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
Outputs
#s(literal -1 binary64)
(fma.f64 x x x)
Calls

1 calls:

2.0ms
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.6%2(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0.1%)

Memory
2.8MiB live, 2.8MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(*.f64 #s(literal 1 binary64) x)
(*.f64 x x)
Outputs
#s(literal -1 binary64)
x
Calls

1 calls:

2.0ms
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.3%2(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

2 calls:

1.0ms
x
1.0ms
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
45.4%1x
45.4%1(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9993593126699473
-1.8878045638396528e-11
Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9993593126699473
-1.8878045638396528e-11
Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9993593126699473
-1.8878045638396528e-11
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify6.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
11745
22045
32245
42345
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 x (fma.f64 x x x) x))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 x x x))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) x)
#s(literal -1 binary64)
Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 x (fma.f64 x x x) x))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (fma.f64 x x x))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) x)
#s(literal -1 binary64)

soundness1.2s (25.5%)

Memory
-1.5MiB live, 390.6MiB allocated
Rules
9 276×lower-fma.f32
9 272×lower-fma.f64
6 356×lower-*.f64
6 356×lower-*.f32
4 624×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0311
0711
14011
231211
3400211
0877611
033135
193120
2220114
3546112
41048112
51960112
63386112
74530112
84646112
94646112
104808112
114883112
124883112
04883109
033
041
171
281
081
010118
132118
240118
3111118
41855118
52854118
63410118
74076118
84906118
95179118
105349118
115490118
125618118
135896118
146842118
157253118
167424118
177554118
187674118
197710118
207727118
217745118
227763118
237782118
247883118
08560109
Stop Event
fuel
iter limit
node limit
iter limit
saturated
iter limit
iter limit
saturated
iter limit
node limit
iter limit
Compiler

Compiled 84 to 35 computations (58.3% saved)

preprocess32.0ms (0.7%)

Memory
2.1MiB live, 76.1MiB allocated
Compiler

Compiled 104 to 32 computations (69.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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