Numeric.Integration.TanhSinh:nonNegative from integration-0.2.1

Time bar (total: 8.0s)

analyze1.0ms (0%)

Memory
1.2MiB live, 1.2MiB 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)

sample779.0ms (9.7%)

Memory
9.6MiB live, 799.2MiB allocated
Samples
432.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 242.0ms
ival-sub: 167.0ms (69% of total)
ival-div: 61.0ms (25.2% of total)
ival-true: 6.0ms (2.5% of total)
exact: 5.0ms (2.1% of total)
ival-assert: 4.0ms (1.7% of total)
Bogosity

preprocess22.0ms (0.3%)

Memory
10.8MiB live, 50.1MiB 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))

explain46.0ms (0.6%)

Memory
16.4MiB live, 107.3MiB 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
22.0ms512×0valid
Compiler

Compiled 36 to 20 computations (44.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 7.0ms (58.4% of total)
ival-div: 4.0ms (33.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval2.0ms (0%)

Memory
-37.3MiB live, 0.4MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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)

simplify7.0ms (0.1%)

Memory
13.3MiB live, 13.3MiB 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)

localize16.0ms (0.2%)

Memory
-3.3MiB live, 34.0MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Samples
10.0ms256×0valid
Compiler

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (52.3% of total)
ival-sub: 1.0ms (26.1% 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
2.4MiB live, 2.4MiB 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)

rewrite294.0ms (3.7%)

Memory
12.6MiB live, 403.0MiB 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))))

simplify238.0ms (3%)

Memory
-9.3MiB live, 210.0MiB 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)

eval51.0ms (0.6%)

Memory
15.9MiB live, 95.6MiB allocated
Compiler

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

prune127.0ms (1.6%)

Memory
8.3MiB live, 120.6MiB allocated
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New4435448
Fresh000
Picked011
Done000
Total4436449
Accuracy
100.0%
Counts
449 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(fma.f64 x (fma.f64 x x x) x)
50.9%
(fma.f64 x x x)
66.8%
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x x x) x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
75.0%
(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
49.1%
#s(literal -1 binary64)
Compiler

Compiled 94 to 50 computations (46.8% saved)

simplify669.0ms (8.3%)

Memory
-0.6MiB live, 750.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x (fma.f64 x x x) x)
cost-diff0
(neg.f64 (fma.f64 x (fma.f64 x x x) x))
cost-diff0
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x x x) x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
cost-diff128
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))
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)
cost-diff0
(fma.f64 x x x)
cost-diff0
(neg.f64 (fma.f64 x x x))
cost-diff128
(+.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff704
(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
Rules
22 744×lower-fma.f32
22 740×lower-fma.f64
3 038×lower-*.f32
3 034×lower-*.f64
2 704×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012100
02394
15094
211494
332488
486687
5274187
0830986
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(neg.f64 (fma.f64 x x x))
(fma.f64 x x x)
x
(+.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
#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)
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x x x) x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(neg.f64 (fma.f64 x (fma.f64 x x x) x))
(fma.f64 x (fma.f64 x x x) x)
x
(fma.f64 x x x)
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))
#s(literal -1 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)
Outputs
(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(neg.f64 (fma.f64 x x x))
(fma.f64 x x x)
x
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x x)
#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)
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x x x) x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (fma.f64 x (fma.f64 x x x) x) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(neg.f64 (fma.f64 x (fma.f64 x x x) x))
(fma.f64 x (fma.f64 x x x) x)
x
(fma.f64 x x x)
(+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
#s(literal -1 binary64)
(*.f64 x (*.f64 x x))
(*.f64 x x)

localize358.0ms (4.5%)

Memory
-17.5MiB live, 101.5MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(neg.f64 (fma.f64 x (fma.f64 x x x) x))
accuracy100.0%
(fma.f64 x (fma.f64 x x x) x)
accuracy99.9%
(*.f64 x (*.f64 x x))
accuracy67.0%
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x x x) x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
accuracy100.0%
(fma.f64 x x x)
accuracy100.0%
(fma.f64 x (fma.f64 x x x) x)
accuracy100.0%
(fma.f64 x x x)
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(neg.f64 (fma.f64 x x x))
accuracy100.0%
(+.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy75.2%
(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
Samples
337.0ms256×0valid
Compiler

Compiled 102 to 15 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 231.0ms
ival-neg: 218.0ms (94.4% of total)
ival-mult: 5.0ms (2.2% of total)
ival-add: 4.0ms (1.7% of total)
ival-div: 3.0ms (1.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
14.2MiB live, 14.2MiB allocated
Counts
10 → 120
Calls
Call 1
Inputs
#<alt (/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))>
#<alt (+.f64 #s(literal -1 binary64) (*.f64 x x))>
#<alt (neg.f64 (fma.f64 x x x))>
#<alt (fma.f64 x x x)>
#<alt (fma.f64 x (fma.f64 x x x) x)>
#<alt (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))>
#<alt (/.f64 (neg.f64 (fma.f64 x (fma.f64 x x x) x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))>
#<alt (neg.f64 (fma.f64 x (fma.f64 x x x) x))>
#<alt (*.f64 x x)>
#<alt (*.f64 x (*.f64 x 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 (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* -1 x)>
#<alt (* x (- (* -1 x) 1))>
#<alt (* x (- (* -1 x) 1))>
#<alt (* x (- (* -1 x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<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)))>
#<alt -1>
#<alt (- (pow x 3) 1)>
#<alt (- (pow x 3) 1)>
#<alt (- (pow x 3) 1)>
#<alt (pow x 3)>
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 3))))>
#<alt (* (pow x 3) (- 1 (/ 1 (pow x 3))))>
#<alt (pow x 3)>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))>
#<alt (* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))>
#<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 x)>
#<alt (* x (- (* -1 x) 1))>
#<alt (* x (- (* x (- (* -1 x) 1)) 1))>
#<alt (* x (- (* x (- (* -1 x) 1)) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1 (/ 1 x))))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))>
#<alt (* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))>
#<alt (* -1 (pow x 3))>
#<alt (* -1 (* (pow x 3) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))>
#<alt (* -1 (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (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 (pow x 2)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
#<alt (pow x 3)>
Calls

30 calls:

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

rewrite471.0ms (5.9%)

Memory
9.7MiB live, 610.2MiB allocated
Algorithm
batch-egg-rewrite
Rules
9 456×lower-fma.f32
9 452×lower-fma.f64
5 066×lower-*.f32
5 062×lower-*.f64
3 904×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01271
02365
110665
279062
0864161
Stop Event
iter limit
node limit
iter limit
Counts
10 → 920
Calls
Call 1
Inputs
(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(neg.f64 (fma.f64 x x x))
(fma.f64 x x x)
(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 (fma.f64 x x x) x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
(neg.f64 (fma.f64 x (fma.f64 x x x) x))
(*.f64 x x)
(*.f64 x (*.f64 x x))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal 0 binary64)) (/.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (neg.f64 x))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 x (neg.f64 x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (*.f64 x x) x))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (*.f64 x (fma.f64 x (*.f64 x x) x))) (*.f64 (/.f64 (fma.f64 x x x) (fma.f64 (neg.f64 x) (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)) (*.f64 (/.f64 (fma.f64 x x x) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 x (neg.f64 x))))
(+.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))))
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(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (fma.f64 x x x))) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 (fma.f64 x x x))) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x))))) (neg.f64 x)) (neg.f64 x))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x))))) (neg.f64 x)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x)) (neg.f64 x)) (neg.f64 x))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x)) (neg.f64 x)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (fma.f64 x x x) (neg.f64 x))
(fma.f64 (neg.f64 x) (fma.f64 x x x) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 x x) (neg.f64 (fma.f64 x x x)))
(fma.f64 (*.f64 x (neg.f64 x)) x (neg.f64 (fma.f64 x x x)))
(fma.f64 (*.f64 x (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 (*.f64 x (neg.f64 x)) (+.f64 x #s(literal 1 binary64)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (neg.f64 x)) (neg.f64 x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (neg.f64 x)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (fma.f64 x x x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x x)))
(fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 x x) (neg.f64 x))
(fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 x x) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (fma.f64 x x x) (neg.f64 x))
(fma.f64 (*.f64 x #s(literal -1 binary64)) (fma.f64 x x x) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 x x x)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (fma.f64 x x x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x) (neg.f64 x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x x) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x x)) (neg.f64 x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (neg.f64 (fma.f64 x x x)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x))))) (neg.f64 x))
(fma.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) (-.f64 x (*.f64 x x))))) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x)) (neg.f64 x))
(fma.f64 (*.f64 (neg.f64 x) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (neg.f64 x) x)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 (fma.f64 x x x)))
(neg.f64 (fma.f64 x (fma.f64 x x x) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 x (*.f64 x (fma.f64 x 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 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x x x) (neg.f64 x) x) (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 x (*.f64 x (fma.f64 x x x))))) (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) (/.f64 (fma.f64 x (fma.f64 x x x) (neg.f64 x)) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x) #s(literal 0 binary64)) (neg.f64 (*.f64 (fma.f64 x (fma.f64 x x x) x) (*.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 x x x) x) (neg.f64 (*.f64 (fma.f64 x (fma.f64 x x x) x) (fma.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))) (neg.f64 (*.f64 x (fma.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 x (*.f64 x (fma.f64 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))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x (fma.f64 x x x)) (fma.f64 x (fma.f64 x x x) (neg.f64 x))))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64))) (fma.f64 (fma.f64 x x x) (neg.f64 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 x (fma.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 x (*.f64 x (fma.f64 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)))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 x x x)) (fma.f64 x (fma.f64 x x x) (neg.f64 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)))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 x (*.f64 x (fma.f64 x x x))))))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64)))) (fma.f64 x (fma.f64 x x x) (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (fma.f64 x x x) x) (*.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (fma.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x) #s(literal 0 binary64)))
(/.f64 (*.f64 x (-.f64 x (*.f64 (fma.f64 x x x) (*.f64 x (fma.f64 x x x))))) (neg.f64 (-.f64 x (*.f64 x (fma.f64 x x x)))))
(/.f64 (*.f64 x (-.f64 x (*.f64 (fma.f64 x x x) (*.f64 x (fma.f64 x x x))))) (-.f64 (neg.f64 x) (*.f64 x (neg.f64 (fma.f64 x x x)))))
(/.f64 (*.f64 x (-.f64 x (*.f64 (fma.f64 x x x) (*.f64 x (fma.f64 x x x))))) (+.f64 (neg.f64 x) (*.f64 x (fma.f64 x x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))) (fma.f64 x (fma.f64 x x x) x))
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (fma.f64 x x x) (*.f64 x (fma.f64 x x x)))))) (-.f64 x (*.f64 x (fma.f64 x x x))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (fma.f64 x x x) x) (*.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))))) (neg.f64 (fma.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 x x x))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 x x x))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)) #s(literal 0 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (neg.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x))))))) (fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)) (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (*.f64 x (fma.f64 x x x)))) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x (neg.f64 (fma.f64 x x x)))))))
(/.f64 (fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x))) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 x (*.f64 (fma.f64 x x x) (*.f64 x (fma.f64 x x x))) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (*.f64 x (neg.f64 (fma.f64 x x x))) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (neg.f64 (*.f64 x (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))))) (*.f64 x (*.f64 x x))) (*.f64 x (fma.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 x (*.f64 x (fma.f64 x x x))))))
(/.f64 (-.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 (*.f64 x x) (*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))))) (fma.f64 x x (*.f64 (*.f64 x (fma.f64 x x x)) (fma.f64 x (fma.f64 x x x) (neg.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 x (*.f64 (fma.f64 x x x) (*.f64 x (fma.f64 x x x))))) (-.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x (neg.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (*.f64 x (*.f64 (fma.f64 x x x) (*.f64 x (fma.f64 x x x)))) (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))) (-.f64 (*.f64 x (neg.f64 (fma.f64 x x x))) (*.f64 x #s(literal -1 binary64))))
(*.f64 x (fma.f64 x (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 x (+.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x))))
(*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(*.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x x) x))
(*.f64 (fma.f64 x (fma.f64 x x x) x) #s(literal -1 binary64))
(*.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 x x x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 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) (neg.f64 (*.f64 x (fma.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 x (*.f64 x (fma.f64 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))) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 x (*.f64 x (fma.f64 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 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 x (*.f64 x (fma.f64 x x x)))))) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x x x) (neg.f64 x) x)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x x) (neg.f64 x) x))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x x) (neg.f64 x) x)) #s(literal -1 binary64)))
(*.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) (*.f64 x (fma.f64 x (*.f64 (fma.f64 x x x) (fma.f64 x x x)) (-.f64 x (*.f64 x (fma.f64 x x x)))))))
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 x x x) (neg.f64 x) x)))
(*.f64 (neg.f64 (*.f64 (fma.f64 x (fma.f64 x x x) x) (*.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x) #s(literal 0 binary64))))
(*.f64 (neg.f64 (*.f64 (fma.f64 x (fma.f64 x x x) x) (fma.f64 x (fma.f64 x x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x x x) x)))
(*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (neg.f64 x))
(*.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64))) (*.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) x)
(*.f64 (*.f64 #s(literal -1 binary64) (+.f64 x (fma.f64 x x #s(literal 1 binary64)))) x)
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(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 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 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 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 3/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x (*.f64 x x))))
(neg.f64 (neg.f64 (*.f64 x (*.f64 x x))))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 x (*.f64 x x))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))
(*.f64 (*.f64 x x) x)
(*.f64 (*.f64 x (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (*.f64 x (neg.f64 x)))
(*.f64 (*.f64 x (neg.f64 x)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))

simplify252.0ms (3.1%)

Memory
-19.8MiB live, 342.1MiB allocated
Algorithm
egg-herbie
Rules
9 820×lower-fma.f64
9 820×lower-fma.f32
2 440×lower-*.f64
2 440×lower-*.f32
1 138×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053660
1159646
2507610
31730606
44711606
08025557
Stop Event
iter limit
node limit
Counts
120 → 116
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
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 x)
(* x (- (* -1 x) 1))
(* x (- (* -1 x) 1))
(* x (- (* -1 x) 1))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
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)))
-1
(- (pow x 3) 1)
(- (pow x 3) 1)
(- (pow x 3) 1)
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 3))))
(* (pow x 3) (- 1 (/ 1 (pow x 3))))
(* (pow x 3) (- 1 (/ 1 (pow x 3))))
(pow x 3)
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))
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 x)
(* x (- (* -1 x) 1))
(* x (- (* x (- (* -1 x) 1)) 1))
(* x (- (* x (- (* -1 x) 1)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (/ 1 x))))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(* -1 (pow x 3))
(* -1 (* (pow x 3) (+ 1 (/ 1 x))))
(* -1 (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(* -1 (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (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)
(pow x 2)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
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) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 x (*.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) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x))))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (* -1 x) 1))
(neg.f64 (fma.f64 x x x))
(* x (- (* -1 x) 1))
(neg.f64 (fma.f64 x x x))
(* x (- (* -1 x) 1))
(neg.f64 (fma.f64 x x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(neg.f64 (fma.f64 x x x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(neg.f64 (fma.f64 x x x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(neg.f64 (fma.f64 x x x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(neg.f64 (fma.f64 x x x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(neg.f64 (fma.f64 x x x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(neg.f64 (fma.f64 x 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)
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)
-1
#s(literal -1 binary64)
(- (pow x 3) 1)
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(- (pow x 3) 1)
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(- (pow x 3) 1)
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* (pow x 3) (- 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 3))))
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(pow x 3)
(*.f64 x (*.f64 x x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
(* -1 (* (pow x 3) (- (/ 1 (pow x 3)) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1 binary64))
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) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 x (*.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) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x))))
(* -1 x)
(neg.f64 x)
(* x (- (* -1 x) 1))
(neg.f64 (fma.f64 x x x))
(* x (- (* x (- (* -1 x) 1)) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(* x (- (* x (- (* -1 x) 1)) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(* -1 (pow x 3))
(*.f64 x (*.f64 x (neg.f64 x)))
(* -1 (* (pow x 3) (+ 1 (/ 1 x))))
(neg.f64 (*.f64 x (fma.f64 x x x)))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(* (pow x 3) (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(* -1 (pow x 3))
(*.f64 x (*.f64 x (neg.f64 x)))
(* -1 (* (pow x 3) (+ 1 (/ 1 x))))
(neg.f64 (*.f64 x (fma.f64 x x x)))
(* -1 (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(* -1 (* (pow x 3) (+ 1 (+ (/ 1 x) (/ 1 (pow x 2))))))
(*.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 x 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)
(pow x 2)
(*.f64 x x)
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))
(pow x 3)
(*.f64 x (*.f64 x x))

eval222.0ms (2.8%)

Memory
48.9MiB live, 417.1MiB allocated
Compiler

Compiled 39 091 to 3 132 computations (92% saved)

prune230.0ms (2.9%)

Memory
-15.4MiB live, 445.9MiB allocated
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1 64631 649
Fresh000
Picked235
Done011
Total1 64871 655
Accuracy
100.0%
Counts
1 655 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(fma.f64 x (fma.f64 x x x) x)
50.9%
(fma.f64 x x x)
75.0%
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
50.9%
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
3.5%
(*.f64 x x)
49.1%
#s(literal -1 binary64)
Compiler

Compiled 42 to 23 computations (45.2% saved)

simplify581.0ms (7.2%)

Memory
13.9MiB live, 799.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(fma.f64 x x x)
cost-diff0
(neg.f64 (fma.f64 x x x))
cost-diff704
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff0
(*.f64 x x)
Rules
26 676×lower-fma.f32
26 672×lower-fma.f64
3 432×lower-*.f32
3 428×lower-*.f64
2 222×lower--.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01039
01738
13238
28834
325734
490433
5489333
0844233
Stop Event
iter limit
node limit
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)
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (fma.f64 x x x))
(fma.f64 x x x)
x
(fma.f64 x x #s(literal -1 binary64))
#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)
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(neg.f64 (fma.f64 x x x))
(fma.f64 x x x)
x
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)

localize39.0ms (0.5%)

Memory
-20.8MiB live, 72.1MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 x x x)
accuracy100.0%
(fma.f64 x x #s(literal -1 binary64))
accuracy100.0%
(neg.f64 (fma.f64 x x x))
accuracy75.2%
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy100.0%
(*.f64 x x)
Samples
21.0ms256×0valid
Compiler

Compiled 41 to 12 computations (70.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-mult: 7.0ms (52.6% of total)
ival-add: 3.0ms (22.6% of total)
ival-div: 2.0ms (15% of total)
ival-neg: 1.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (*.f64 x x)>
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) x)>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (neg.f64 (fma.f64 x x x))>
#<alt (fma.f64 x x x)>
#<alt (fma.f64 x 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)))>
#<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 x)>
#<alt (* x (- (* -1 x) 1))>
#<alt (* x (- (* -1 x) 1))>
#<alt (* x (- (* -1 x) 1))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (pow x 2))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<alt (* -1 (* (pow x 2) (+ 1 (/ 1 x))))>
#<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 (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* (+ x 1) x)
0.0ms
x
@0
(* (+ x 1) x)
0.0ms
x
@inf
(* (+ x 1) x)
0.0ms
x
@0
(* x x)
0.0ms
x
@-inf
(+ x 1)

rewrite461.0ms (5.7%)

Memory
7.2MiB live, 474.1MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 080×lower-fma.f32
5 076×lower-fma.f64
4 376×lower-*.f32
4 372×lower-*.f64
4 108×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01034
01733
17233
251928
3754528
0807628
Stop Event
iter limit
node limit
iter limit
Counts
7 → 1 109
Calls
Call 1
Inputs
(*.f64 x x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (fma.f64 x x x))
(fma.f64 x x x)
(fma.f64 x x #s(literal -1 binary64))
Outputs
(exp.f64 (log.f64 (*.f64 x x)))
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x)))
(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 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(*.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(+.f64 x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(+.f64 (*.f64 x x) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (fma.f64 x x x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (fma.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))))
(+.f64 (+.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(+.f64 (+.f64 #s(literal 0 binary64) x) (*.f64 x x))
(+.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 x x))
(-.f64 x (*.f64 x (neg.f64 x)))
(-.f64 (*.f64 x x) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.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 x x) (*.f64 x (-.f64 #s(literal 1 binary64) x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (-.f64 (*.f64 x x) x))) (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x)))
(fma.f64 x x x)
(fma.f64 x x (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(fma.f64 x (*.f64 (neg.f64 x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(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) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(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 #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) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) #s(literal 0 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 0 binary64))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 (fma.f64 x x x) (/.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x x) (*.f64 (-.f64 (*.f64 x x) x) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (fma.f64 x x x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x x x)) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) x)
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 x x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (*.f64 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 (*.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 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (/.f64 (fma.f64 x x x) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) x) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) #s(literal 0 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (+.f64 x #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64) x)
(fma.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (+.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (neg.f64 (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 x x))
(fma.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (fma.f64 x (*.f64 x (*.f64 x x)) x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64))
(fma.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 x x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) x)
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (neg.f64 (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 (*.f64 x 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 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 (*.f64 x 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 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 x x))
(fma.f64 (/.f64 (fma.f64 x x x) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))
(fma.f64 (/.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) (*.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x x)
(fma.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x x x) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x x x) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (*.f64 x x))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))))))) (fma.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) (-.f64 (*.f64 x (*.f64 x (-.f64 #s(literal 1 binary64) x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (*.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))))) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (*.f64 x (-.f64 #s(literal 1 binary64) x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (fma.f64 x (fma.f64 x x x) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (/.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) (fma.f64 x x x)) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) x) (fma.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 (*.f64 x (*.f64 x x))))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) x) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 0 binary64))
(fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (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))) (fma.f64 x (fma.f64 x x x) (*.f64 x (*.f64 x (*.f64 x x)))) (neg.f64 (/.f64 (*.f64 x x) (-.f64 (*.f64 x x) x))))
(neg.f64 (neg.f64 (fma.f64 x x x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(/.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 #s(literal 1 binary64) x)) (*.f64 x (-.f64 x (*.f64 x (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (*.f64 x (*.f64 x x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x)) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x)))))
(/.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (*.f64 x x) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x (*.f64 x (*.f64 x x)) x))) (neg.f64 (fma.f64 (*.f64 x x) (-.f64 (*.f64 x x) x) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 x (neg.f64 x) x))
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(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))) (fma.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.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 (*.f64 x (*.f64 x x))))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))

simplify487.0ms (6.1%)

Memory
7.9MiB live, 718.3MiB allocated
Algorithm
egg-herbie
Rules
19 158×lower-fma.f64
19 158×lower-fma.f32
4 506×lower-*.f64
4 506×lower-*.f32
1 502×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036380
1110374
2266359
3823357
43321357
55875357
08115325
Stop Event
iter limit
node limit
Counts
84 → 79
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)))
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 x)
(* x (- (* -1 x) 1))
(* x (- (* -1 x) 1))
(* x (- (* -1 x) 1))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
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
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
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))
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) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 x (*.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) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 x (*.f64 x x))))
(* -1 x)
(neg.f64 x)
(* x (- (* -1 x) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* x (- (* -1 x) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* x (- (* -1 x) 1))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* -1 (pow x 2))
(*.f64 x (neg.f64 x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 x (-.f64 #s(literal -1 binary64) 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)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))

eval168.0ms (2.1%)

Memory
-22.7MiB live, 246.8MiB allocated
Compiler

Compiled 27 951 to 2 553 computations (90.9% saved)

prune158.0ms (2%)

Memory
11.5MiB live, 363.9MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New1 18621 188
Fresh000
Picked123
Done044
Total1 18781 195
Accuracy
100.0%
Counts
1 195 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(fma.f64 x (fma.f64 x x x) x)
50.9%
(fma.f64 x x x)
75.0%
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
99.9%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) x)
50.9%
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
51.5%
(*.f64 #s(literal 1 binary64) x)
49.1%
#s(literal -1 binary64)
Compiler

Compiled 50 to 29 computations (42% saved)

simplify12.0ms (0.2%)

Memory
-12.5MiB live, 26.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal -1 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) x)
cost-diff320
(*.f64 #s(literal 1 binary64) x)
Rules
72×lower-fma.f64
72×lower-fma.f32
60×lower-*.f32
56×lower-*.f64
40×lower-+.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0722
01120
11819
23219
34419
46419
58818
611018
714618
819518
921418
1022018
1122018
022018
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) x)
(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
#s(literal -1 binary64)
(+.f64 x #s(literal -1 binary64))
x
Outputs
(*.f64 #s(literal 1 binary64) x)
x
#s(literal 1 binary64)
x
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) x)
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
(+.f64 x #s(literal -1 binary64))
x

localize24.0ms (0.3%)

Memory
9.5MiB live, 47.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal -1 binary64))
accuracy100.0%
(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
accuracy99.9%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) x)
accuracy100.0%
(*.f64 #s(literal 1 binary64) x)
Samples
15.0ms256×0valid
Compiler

Compiled 24 to 9 computations (62.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 4.0ms (48.9% of total)
ival-div: 2.0ms (24.4% of total)
ival-add: 1.0ms (12.2% 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
1.4MiB live, 1.4MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal 1 binary64) x)>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) x)>
#<alt (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))>
#<alt (+.f64 x #s(literal -1 binary64))>
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>
#<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 x)>
#<alt (+ 1 (* x (+ 1 x)))>
#<alt (+ 1 (* x (+ 1 (* x (+ 1 x)))))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)>
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))>
#<alt -1>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt (- x 1)>
#<alt x>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt (* x (- 1 (/ 1 x)))>
#<alt x>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
#<alt (* -1 (* x (- (/ 1 x) 1)))>
Calls

12 calls:

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

rewrite302.0ms (3.8%)

Memory
-7.3MiB live, 358.7MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 574×lower-fma.f64
4 574×lower-fma.f32
3 144×lower-/.f32
3 142×lower-/.f64
2 174×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0718
01116
13815
220714
3162014
0977214
Stop Event
iter limit
node limit
iter limit
Counts
4 → 658
Calls
Call 1
Inputs
(*.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) x)
(/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal -1 binary64))
Outputs
x
(+.f64 #s(literal 0 binary64) x)
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 x))
(neg.f64 (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 x x)) (neg.f64 x))
(pow.f64 x #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) #s(literal -1 binary64))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (/.f64 x (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))) x) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (*.f64 x 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) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(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 (*.f64 x x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(fma.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
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(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x (fma.f64 x x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x))))))
(*.f64 (fma.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (/.f64 #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 #s(literal 1 binary64) x) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (fma.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 x x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x 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) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x 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 #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 (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 (*.f64 x 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 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))

simplify380.0ms (4.7%)

Memory
8.1MiB live, 368.3MiB allocated
Algorithm
egg-herbie
Rules
6 352×lower-fma.f64
6 352×lower-fma.f32
1 570×unsub-neg
1 456×lower-*.f64
1 456×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039240
1111220
2273216
3723214
42033214
54329214
66216214
76610214
86645214
96645214
106667214
116667214
126667214
136819214
146883214
156883214
06883209
Stop Event
iter limit
saturated
Counts
48 → 33
Calls
Call 1
Inputs
x
x
x
x
x
x
x
x
x
x
x
x
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 x)
(+ 1 (* x (+ 1 x)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
-1
(- x 1)
(- x 1)
(- x 1)
x
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
x
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
x
x
x
x
x
x
x
x
x
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 (+ 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 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* x (+ 1 x)))
(+.f64 x (fma.f64 x x #s(literal 1 binary64)))
(+ 1 (* x (+ 1 (* x (+ 1 x)))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 1 (/ 1 x)) (pow x 2))) (+ 1 (/ 1 x))) x)
(/.f64 (*.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)))) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))) x))
(/.f64 (*.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)))) x)
-1
#s(literal -1 binary64)
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.f64 x #s(literal -1 binary64))
(- x 1)
(+.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
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 x #s(literal -1 binary64))

eval96.0ms (1.2%)

Memory
-7.0MiB live, 257.5MiB allocated
Compiler

Compiled 18 812 to 2 194 computations (88.3% saved)

prune162.0ms (2%)

Memory
9.1MiB live, 244.6MiB allocated
Pruning

8 alts after pruning (1 fresh and 7 done)

PrunedKeptTotal
New6901691
Fresh000
Picked112
Done066
Total6918699
Accuracy
100.0%
Counts
699 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.8%
(fma.f64 x (fma.f64 x x x) x)
50.9%
(fma.f64 x x x)
75.0%
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))
100.0%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
99.9%
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) x)
50.9%
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
51.5%
x
49.1%
#s(literal -1 binary64)
Compiler

Compiled 122 to 50 computations (59% saved)

regimes10.0ms (0.1%)

Memory
-16.4MiB live, 21.9MiB allocated
Counts
12 → 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))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64))) x)
(/.f64 (neg.f64 (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 x x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 x (fma.f64 x x x) x)) (+.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))))
Outputs
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

4.0ms
x
3.0ms
(/.f64 x (-.f64 #s(literal 1 binary64) 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
15.8MiB live, 15.8MiB 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
97.8%3x
97.8%2(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0%)

Memory
7.8MiB live, 7.7MiB 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)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
Calls

1 calls:

2.0ms
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
97.5%2(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory
6.9MiB live, 6.9MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
x
(*.f64 #s(literal 1 binary64) x)
(*.f64 x x)
(fma.f64 x x 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
97.5%2(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes2.0ms (0%)

Memory
5.9MiB live, 5.9MiB 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
97.1%2(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Memory
-50.5MiB live, 8.3MiB 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
49.1%1x
49.1%1(/.f64 x (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999972205557243
-8.507835196160333e-6
Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999972205557243
-8.507835196160333e-6
Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999972205557243
-8.507835196160333e-6
Compiler

Compiled 9 to 8 computations (11.1% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.999972205557243
-8.507835196160333e-6
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify6.0ms (0.1%)

Memory
17.5MiB live, 17.5MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01559
12259
22559
32759
42859
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) (*.f64 (+.f64 x #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 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) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(if (<=.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))
(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 (14.9%)

Memory
2.2MiB live, 506.5MiB allocated
Rules
19 158×lower-fma.f64
19 158×lower-fma.f32
9 456×lower-fma.f32
9 452×lower-fma.f64
5 066×lower-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033135
193120
2220114
3546112
41048112
51960112
63386112
74530112
84646112
94646112
104808112
114883112
124883112
04883109
01271
02365
110665
279062
0864161
0718
01116
13815
220714
3162014
0977214
036380
1110374
2266359
3823357
43321357
55875357
08115325
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
saturated
Compiler

Compiled 111 to 46 computations (58.6% saved)

preprocess136.0ms (1.7%)

Memory
2.5MiB live, 79.0MiB allocated
Compiler

Compiled 132 to 38 computations (71.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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