Prelude:atanh from fay-base-0.20.0.1

Time bar (total: 5.3s)

analyze1.0ms (0%)

Memory
1.3MiB live, 1.3MiB 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 9 to 7 computations (22.2% saved)

sample745.0ms (14.2%)

Memory
17.0MiB live, 1 050.9MiB allocated
Samples
571.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 316.0ms
ival-add: 154.0ms (48.8% of total)
ival-div: 84.0ms (26.6% of total)
ival-sub: 66.0ms (20.9% of total)
ival-true: 5.0ms (1.6% of total)
exact: 4.0ms (1.3% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

preprocess46.0ms (0.9%)

Memory
-4.8MiB live, 72.6MiB allocated
Algorithm
egg-herbie
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
176×times-frac
130×div-sub
128×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01024
12621
25521
313321
430021
562521
672721
776221
876621
057
1107
2147
3197
4267
5367
6527
7737
81037
91537
101967
112927
124687
136487
06487
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (+ x 1) (- 1 x))
Outputs
(/ (+ x 1) (- 1 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Call 2
Inputs
(/ (+ x 1) (- 1 x))
(/ (+ (neg x) 1) (- 1 (neg x)))
(neg (/ (+ (neg x) 1) (- 1 (neg x))))
Outputs
(/ (+ x 1) (- 1 x))
(/ (+ (neg x) 1) (- 1 (neg x)))
(/ (- 1 x) (+ x 1))
(neg (/ (+ (neg x) 1) (- 1 (neg x))))
(/ (- 1 x) (- -1 x))

explain53.0ms (1%)

Memory
6.6MiB live, 168.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 (+.f64 x #s(literal 1 binary64)) (-.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
20.0ms512×0valid
Compiler

Compiled 50 to 24 computations (52% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sub: 3.0ms (32.2% of total)
ival-div: 3.0ms (32.2% of total)
ival-add: 3.0ms (32.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify17.0ms (0.3%)

Memory
1.5MiB live, 40.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Rules
208×accelerator-lowering-fma.f32
208×accelerator-lowering-fma.f64
128×*-lowering-*.f32
128×*-lowering-*.f64
110×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
11015
21415
31915
42615
53615
65215
77315
810315
915315
1019615
1129215
1246815
1364815
064815
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ x 1) (- 1 x))
(+ x 1)
x
1
(- 1 x)
Outputs
(/ (+ x 1) (- 1 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(- 1 x)
(-.f64 #s(literal 1 binary64) x)

localize33.0ms (0.6%)

Memory
-13.6MiB live, 28.3MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 #s(literal 1 binary64) x)
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Samples
27.0ms256×0valid
Compiler

Compiled 17 to 7 computations (58.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 3.0ms (52.1% of total)
ival-sub: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% 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
2.5MiB live, 2.5MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (/ (+ x 1) (- 1 x))>
#<alt (+ x 1)>
#<alt (- 1 x)>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)>
#<alt (- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)>
#<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 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

9 calls:

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

rewrite214.0ms (4.1%)

Memory
3.4MiB live, 436.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 974×/-lowering-/.f32
2 974×/-lowering-/.f64
2 752×accelerator-lowering-fma.f32
2 752×accelerator-lowering-fma.f64
2 188×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0513
13813
229113
341027
0100117
Stop Event
iter limit
node limit
Counts
3 → 489
Calls
Call 1
Inputs
(/ (+ x 1) (- 1 x))
(+ x 1)
(- 1 x)
Outputs
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (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)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64))))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 (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)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))))
(fma.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (*.f64 x x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (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 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.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 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.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))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))) (neg.f64 (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (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))))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.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 (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (fma.f64 x (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))))
(/.f64 (neg.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 (+.f64 x #s(literal 1 binary64)))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (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 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x (neg.f64 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))) (fma.f64 x x (+.f64 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 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (neg.f64 x) (+.f64 x #s(literal -1 binary64))))
(*.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 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))) (fma.f64 x (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x 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)))) (fma.f64 x x (+.f64 x #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) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (fma.f64 x x (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (pow.f64 (/.f64 #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 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (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 (+.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (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 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (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 (*.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))) (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 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (/.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) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (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) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (+.f64 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 x (*.f64 x x))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #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 (neg.f64 x) (+.f64 x #s(literal -1 binary64)))))
(*.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))))

simplify314.0ms (6%)

Memory
27.2MiB live, 498.1MiB allocated
Algorithm
egg-herbie
Rules
10 702×accelerator-lowering-fma.f32
10 702×accelerator-lowering-fma.f64
2 414×*-lowering-*.f32
2 414×*-lowering-*.f64
1 974×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040165
1114150
2255150
3590146
41225146
52794146
64949146
76697146
87350146
97545146
107569146
117580146
127964146
08165140
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
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)))
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
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* x (+ 2 (* 2 x))))))
(fma.f64 x (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) (pow x 2))) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x))
(- (* -1 (/ (+ 2 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2)))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal -2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) 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)

eval87.0ms (1.7%)

Memory
-19.1MiB live, 141.8MiB allocated
Compiler

Compiled 14 494 to 1 049 computations (92.8% saved)

prune113.0ms (2.1%)

Memory
4.9MiB live, 167.9MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New5187525
Fresh000
Picked011
Done000
Total5188526
Accuracy
100.0%
Counts
526 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
50.7%
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
50.6%
(/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))
51.2%
(/.f64 x (-.f64 #s(literal 1 binary64) x))
51.2%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
49.0%
#s(literal 1 binary64)
49.8%
#s(literal -1 binary64)
Compiler

Compiled 80 to 59 computations (26.3% saved)

simplify46.0ms (0.9%)

Memory
14.5MiB live, 54.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 5 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x x)
cost-diff0
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
cost-diff0
(-.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 x (-.f64 #s(literal 1 binary64) x))
Rules
816×accelerator-lowering-fma.f32
816×accelerator-lowering-fma.f64
376×*-lowering-*.f32
376×*-lowering-*.f64
192×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
12837
24637
37137
48437
511937
615237
724337
836437
939337
1043237
1151237
1273437
1397137
14108137
15109737
0109733
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x (- 1 x))
x
(- 1 x)
1
-1
1
(+ (* 2 x) 1)
2
x
1
(+ (* 2 (+ (* x x) x)) 1)
2
(+ (* x x) x)
x
1
Outputs
(/ x (- 1 x))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
x
(- 1 x)
(-.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
-1
#s(literal -1 binary64)
1
#s(literal 1 binary64)
(+ (* 2 x) 1)
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
2
#s(literal 2 binary64)
x
1
#s(literal 1 binary64)
(+ (* 2 (+ (* x x) x)) 1)
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
2
#s(literal 2 binary64)
(+ (* x x) x)
(fma.f64 x x x)
x
1
#s(literal 1 binary64)

localize43.0ms (0.8%)

Memory
1.0MiB live, 78.9MiB allocated
Localize:

Found 5 expressions of interest:

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

Compiled 35 to 14 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 5.0ms (39.3% of total)
ival-mult: 4.0ms (31.4% of total)
ival-sub: 2.0ms (15.7% of total)
ival-div: 2.0ms (15.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
6.7MiB live, 6.7MiB allocated
Counts
5 → 60
Calls
Call 1
Inputs
#<alt (/ x (- 1 x))>
#<alt (- 1 x)>
#<alt (+ (* 2 x) 1)>
#<alt (+ (* 2 (+ (* x x) x)) 1)>
#<alt (+ (* x 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 (+ 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))))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* 2 x))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* 2 x)>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt (* x (+ 2 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (+ 1 (* x (+ 2 (* 2 x))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* 2 (pow x 2))>
#<alt (* (pow x 2) (+ 2 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (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)))>
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@inf
(+ (* 2 x) 1)
0.0ms
x
@inf
(+ (* 2 (+ (* x x) x)) 1)
0.0ms
x
@-inf
(/ x (- 1 x))
0.0ms
x
@-inf
(+ (* 2 (+ (* x x) x)) 1)
0.0ms
x
@inf
(/ x (- 1 x))

rewrite397.0ms (7.5%)

Memory
-18.3MiB live, 772.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
7 790×accelerator-lowering-fma.f32
7 790×accelerator-lowering-fma.f64
4 360×*-lowering-*.f32
4 360×*-lowering-*.f64
3 042×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01127
17627
261127
3651527
0827123
Stop Event
iter limit
node limit
Counts
5 → 460
Calls
Call 1
Inputs
(/ x (- 1 x))
(- 1 x)
(+ (* 2 x) 1)
(+ (* 2 (+ (* x x) x)) 1)
(+ (* x x) x)
Outputs
(+.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))))
(+.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 x (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 x x x)))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 x x x)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) x))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x) (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x))
(+.f64 (*.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (*.f64 x (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))))
(+.f64 (*.f64 x (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x (neg.f64 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 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))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 x (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 x (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))
(fma.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (*.f64 x (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 x x x)))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 x x x) (*.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)) (*.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) x))
(fma.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) x (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 x (fma.f64 x (neg.f64 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 (neg.f64 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 x (fma.f64 x (*.f64 x x) x) #s(literal 1 binary64)) (*.f64 x (/.f64 x (fma.f64 x (neg.f64 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 (neg.f64 x) #s(literal 1 binary64)))))
(fma.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x)))))) (fma.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x x) (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))))
(neg.f64 (/.f64 x (+.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x)))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 x) (+.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) x))
(/.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (/.f64 x (fma.f64 x (neg.f64 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 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x (*.f64 x (neg.f64 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 (fma.f64 x x x) (fma.f64 x x x)))) (*.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(/.f64 (*.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (*.f64 (fma.f64 x (neg.f64 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 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x 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 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(/.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))
(*.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (neg.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (fma.f64 x (fma.f64 x x x) x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(*.f64 (/.f64 x (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(*.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 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) x) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 (neg.f64 x) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 x (neg.f64 (fma.f64 x (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (/.f64 x (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
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(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) (neg.f64 x)))) (*.f64 (fma.f64 x x (neg.f64 x)) (*.f64 x (fma.f64 x (*.f64 x x) x))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (neg.f64 x))) (*.f64 (fma.f64 x x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 x x (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (fma.f64 x x (neg.f64 x))))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) (neg.f64 x)))) #s(literal 1 binary64)) (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (fma.f64 x x (neg.f64 x))))
(/.f64 (*.f64 x (fma.f64 x (neg.f64 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 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) (neg.f64 x)))) (fma.f64 x x (neg.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x))) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x)))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x))) (fma.f64 x (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x (*.f64 x (*.f64 x x))))) (-.f64 x (*.f64 x x)))
(/.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x)))
(/.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) (neg.f64 x))) #s(literal 1 binary64)) (fma.f64 x x (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x))))
(/.f64 (*.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x)) #s(literal 1 binary64)) (fma.f64 x (neg.f64 x) x))
(/.f64 (*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (-.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x))) (neg.f64 (fma.f64 x (neg.f64 x) x)))
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 x (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (neg.f64 x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x))) (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)))))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (neg.f64 x)))) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (neg.f64 x))) (/.f64 (*.f64 x (*.f64 x (*.f64 x x))) (fma.f64 x x (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x))))) (fma.f64 (*.f64 x x) (/.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x)))) (fma.f64 (*.f64 x (*.f64 x x)) (-.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x)))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x)))
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x)) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))) (fma.f64 (*.f64 x x) (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(/.f64 (*.f64 (*.f64 (*.f64 x (fma.f64 x (*.f64 x x) x)) (*.f64 x (fma.f64 x (*.f64 x x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))) (*.f64 x (fma.f64 x (*.f64 x x) x)))
(/.f64 (*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x (*.f64 x x)) (*.f64 x (-.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(*.f64 x (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x)))))
(*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 x x (neg.f64 x))))
(*.f64 (neg.f64 x) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x))))
(*.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x)) (*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x)))))
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x)) (/.f64 (fma.f64 x x x) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x))))
(*.f64 (*.f64 x (fma.f64 x (*.f64 x x) (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))
(*.f64 (*.f64 x (fma.f64 x (*.f64 x x) (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))) #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x)))))
(*.f64 (*.f64 (fma.f64 x x x) (fma.f64 x (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x))) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))) (*.f64 x (fma.f64 x (*.f64 x x) (neg.f64 x))))
(*.f64 (*.f64 x (-.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x))))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (*.f64 x x) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (neg.f64 x))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) (neg.f64 x))) (*.f64 x (fma.f64 x (*.f64 x x) (neg.f64 x)))) (fma.f64 x x x))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x)) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x (-.f64 x (*.f64 x x))) (*.f64 (*.f64 x (-.f64 x (*.f64 x x))) (*.f64 x (-.f64 x (*.f64 x x))))))) (fma.f64 (*.f64 x (-.f64 x (*.f64 x x))) (-.f64 (*.f64 x (-.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (*.f64 x x) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))))
(*.f64 (/.f64 (*.f64 (*.f64 x x) (fma.f64 (*.f64 x x) (*.f64 x x) x)) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 x x (neg.f64 x)) (*.f64 x x)) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))))) (*.f64 x (-.f64 (*.f64 x (*.f64 x x)) (-.f64 x (*.f64 x x)))))
(*.f64 (/.f64 (*.f64 x (fma.f64 x (*.f64 x x) (neg.f64 x))) (*.f64 (*.f64 x x) (-.f64 (*.f64 x (*.f64 x (*.f64 x x))) x))) (fma.f64 (*.f64 x x) (*.f64 x x) (*.f64 x (fma.f64 x x x))))

simplify421.0ms (8%)

Memory
3.2MiB live, 924.6MiB allocated
Algorithm
egg-herbie
Rules
18 332×accelerator-lowering-fma.f32
18 332×accelerator-lowering-fma.f64
4 196×*-lowering-*.f32
4 196×*-lowering-*.f64
2 158×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048327
1152308
2348302
31150300
43796300
56703300
08218262
Stop Event
iter limit
node limit
Counts
60 → 60
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))))
1
(+ 1 (* 2 x))
(+ 1 (* 2 x))
(+ 1 (* 2 x))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* 2 x)
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
(* x (+ 2 (/ 1 x)))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 (* 2 x))))
(+ 1 (* x (+ 2 (* 2 x))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* 2 (pow x 2))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (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)))
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 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 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) (/ 1 (pow x 2)))) x)) 1)
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 1 binary64)))
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)
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(* 2 x)
(*.f64 x #s(literal 2 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(* x (+ 2 (/ 1 x)))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 2 (* 2 x))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(* 2 (pow x 2))
(*.f64 x (*.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (* 2 (/ 1 x))))
(*.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 2 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (fma.f64 x #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 1 binary64))
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)

eval65.0ms (1.2%)

Memory
5.9MiB live, 237.9MiB allocated
Compiler

Compiled 11 680 to 1 213 computations (89.6% saved)

prune84.0ms (1.6%)

Memory
20.9MiB live, 180.0MiB allocated
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New5191520
Fresh022
Picked145
Done011
Total5208528
Accuracy
100.0%
Counts
528 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
50.7%
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
50.6%
(/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))
50.6%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
51.2%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
49.0%
#s(literal 1 binary64)
49.8%
#s(literal -1 binary64)
Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify24.0ms (0.5%)

Memory
-29.8MiB live, 29.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 x)
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff128
(/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
Rules
160×accelerator-lowering-fma.f32
160×accelerator-lowering-fma.f64
112×*-lowering-*.f32
112×*-lowering-*.f64
76×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01133
12033
22833
33833
45533
57533
611933
717033
823633
930533
1043833
1148233
1249933
1351733
1453133
1553733
053733
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ -1 (/ -2 x))
-1
(/ -2 x)
-2
x
(+ -1 (/ -1 x))
-1
(/ -1 x)
x
(/ (+ x 1) (neg x))
(+ x 1)
x
1
(neg x)
Outputs
(+ -1 (/ -2 x))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
-2
#s(literal -2 binary64)
x
(+ -1 (/ -1 x))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
-1
#s(literal -1 binary64)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
x
(/ (+ x 1) (neg x))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ x 1)
(+.f64 x #s(literal 1 binary64))
x
1
#s(literal 1 binary64)
(neg x)
(neg.f64 x)

localize34.0ms (0.6%)

Memory
-4.2MiB live, 70.3MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x #s(literal 1 binary64))
accuracy100.0%
(neg.f64 x)
accuracy100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))
accuracy100.0%
(/.f64 #s(literal -1 binary64) x)
accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
accuracy100.0%
(/.f64 #s(literal -2 binary64) x)
accuracy100.0%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
Samples
20.0ms256×0valid
Compiler

Compiled 36 to 13 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-div: 8.0ms (63.8% of total)
ival-add: 3.0ms (23.9% of total)
ival-neg: 1.0ms (8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
8.9MiB live, 8.9MiB allocated
Counts
7 → 84
Calls
Call 1
Inputs
#<alt (+ -1 (/ -2 x))>
#<alt (/ -2 x)>
#<alt (+ -1 (/ -1 x))>
#<alt (/ -1 x)>
#<alt (/ (+ x 1) (neg x))>
#<alt (+ x 1)>
#<alt (neg x)>
Outputs
#<alt (/ -2 x)>
#<alt (/ (- (* -1 x) 2) x)>
#<alt (/ (- (* -1 x) 2) x)>
#<alt (/ (- (* -1 x) 2) x)>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 2 (/ 1 x))))>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -2 x)>
#<alt (/ -1 x)>
#<alt (/ (- (* -1 x) 1) x)>
#<alt (/ (- (* -1 x) 1) x)>
#<alt (/ (- (* -1 x) 1) x)>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ -1 x)>
#<alt (/ (- (* -1 x) 1) x)>
#<alt (/ (- (* -1 x) 1) x)>
#<alt (/ (- (* -1 x) 1) x)>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (* -1 (+ 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 (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

21 calls:

TimeVariablePointExpression
1.0ms
x
@0
(/ (+ x 1) (neg x))
0.0ms
x
@inf
(/ (+ x 1) (neg x))
0.0ms
x
@0
(/ -2 x)
0.0ms
x
@0
(/ -1 x)
0.0ms
x
@inf
(+ -1 (/ -1 x))

rewrite280.0ms (5.3%)

Memory
30.6MiB live, 409.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
3 394×accelerator-lowering-fma.f32
3 394×accelerator-lowering-fma.f64
3 388×/-lowering-/.f32
3 388×/-lowering-/.f64
3 320×*-lowering-*.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01127
17327
257726
3666826
0812326
Stop Event
iter limit
node limit
Counts
7 → 425
Calls
Call 1
Inputs
(+ -1 (/ -2 x))
(/ -2 x)
(+ -1 (/ -1 x))
(/ -1 x)
(/ (+ x 1) (neg x))
(+ x 1)
(neg x)
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x)))))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (fma.f64 (/.f64 #s(literal -2 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (neg.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x)))))
(fma.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (*.f64 x x) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x)))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64))))
(/.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -512 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) (-.f64 (/.f64 #s(literal -8 binary64) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 64 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 16 binary64) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 8 binary64) (*.f64 x (*.f64 x x))))) (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 2 binary64)) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (fma.f64 (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x))) (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) x))) (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x)))))))
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(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.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))) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) 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 (/.f64 (fma.f64 x x #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) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (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 (fma.f64 x (*.f64 x 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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(+.f64 (neg.f64 x) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) x)
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(neg.f64 x)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 (*.f64 x x))))
(/.f64 (neg.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 x (*.f64 x x)) (neg.f64 (*.f64 x x)))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (*.f64 x x))
(/.f64 (neg.f64 (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 x x)) x)
(/.f64 (*.f64 (neg.f64 (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (*.f64 x x))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(pow.f64 (neg.f64 x) #s(literal 1 binary64))
(pow.f64 (/.f64 (*.f64 x x) (neg.f64 (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))
(pow.f64 (/.f64 x (neg.f64 (*.f64 x 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 (neg.f64 x) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))

simplify208.0ms (4%)

Memory
5.0MiB live, 331.2MiB allocated
Algorithm
egg-herbie
Rules
3 944×accelerator-lowering-fma.f32
3 944×accelerator-lowering-fma.f64
2 412×*-lowering-*.f32
2 412×*-lowering-*.f64
1 120×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020303
159276
288276
3143276
4273276
5560276
61174276
73714276
85512276
96660276
107576276
117848276
08005276
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
(/ (- (* -1 x) 2) x)
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
-1
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(* -1 (+ 1 (* 2 (/ 1 x))))
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -2 x)
(/ -1 x)
(/ (- (* -1 x) 1) x)
(/ (- (* -1 x) 1) x)
(/ (- (* -1 x) 1) x)
-1
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ -1 x)
(/ (- (* -1 x) 1) x)
(/ (- (* -1 x) 1) x)
(/ (- (* -1 x) 1) x)
-1
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 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)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* -1 x) 2) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(* -1 (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 x) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(/ (- (* -1 x) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(/ (- (* -1 x) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 x) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(/ (- (* -1 x) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(/ (- (* -1 x) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) 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))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

eval61.0ms (1.2%)

Memory
1.1MiB live, 156.1MiB allocated
Compiler

Compiled 7 355 to 1 000 computations (86.4% saved)

prune58.0ms (1.1%)

Memory
-13.6MiB live, 141.7MiB allocated
Pruning

7 alts after pruning (1 fresh and 6 done)

PrunedKeptTotal
New5081509
Fresh000
Picked213
Done055
Total5107517
Accuracy
100.0%
Counts
517 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
50.7%
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
50.6%
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
51.2%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
49.0%
#s(literal 1 binary64)
49.8%
#s(literal -1 binary64)
Compiler

Compiled 37 to 27 computations (27% saved)

simplify12.0ms (0.2%)

Memory
25.8MiB live, 25.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
Rules
112×accelerator-lowering-fma.f32
112×accelerator-lowering-fma.f64
80×*-lowering-*.f32
80×*-lowering-*.f64
72×div-sub
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0410
1910
21710
32410
43510
54810
67010
712210
818410
925110
1036010
1140810
040810
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (- -1 x) x)
(- -1 x)
-1
x
Outputs
(/ (- -1 x) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(- -1 x)
(-.f64 #s(literal -1 binary64) x)
-1
#s(literal -1 binary64)
x

localize17.0ms (0.3%)

Memory
-3.6MiB live, 33.6MiB allocated
Localize:

Found 2 expressions of interest:

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

Compiled 12 to 6 computations (50% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 3.0ms (66.5% of total)
ival-sub: 2.0ms (44.3% 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
1.7MiB live, 1.7MiB allocated
Counts
2 → 24
Calls
Call 1
Inputs
#<alt (/ (- -1 x) x)>
#<alt (- -1 x)>
Outputs
#<alt (/ -1 x)>
#<alt (/ (- (* -1 x) 1) x)>
#<alt (/ (- (* -1 x) 1) x)>
#<alt (/ (- (* -1 x) 1) x)>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt (* -1 (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (- (* -1 x) 1)>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<alt (* -1 (* x (+ 1 (/ 1 x))))>
#<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
(/ (- -1 x) x)
0.0ms
x
@0
(/ (- -1 x) x)
0.0ms
x
@inf
(- -1 x)
0.0ms
x
@inf
(/ (- -1 x) x)
0.0ms
x
@0
(- -1 x)

rewrite351.0ms (6.7%)

Memory
-1.9MiB live, 640.4MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 044×/-lowering-/.f32
4 044×/-lowering-/.f64
3 896×accelerator-lowering-fma.f32
3 896×accelerator-lowering-fma.f64
3 316×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048
1298
22218
320118
098598
Stop Event
iter limit
node limit
Counts
2 → 612
Calls
Call 1
Inputs
(/ (- -1 x) x)
(- -1 x)
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(+.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 x)) (/.f64 #s(literal -1 binary64) x))
(+.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 x (neg.f64 x)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 x (neg.f64 x)))
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) x) (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) x))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) x) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)) x))
(-.f64 (/.f64 #s(literal 0 binary64) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x x x) x)) (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (fma.f64 x x x) x)))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))
(-.f64 (/.f64 x (neg.f64 (*.f64 x x))) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))))
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(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x))))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))))
(/.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (pow.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x)))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))))))
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x)))) (pow.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) x)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) x) (*.f64 #s(literal 0 binary64) (+.f64 x #s(literal 1 binary64))))))
(pow.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.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 #s(literal 1 binary64) (fma.f64 x x x))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) #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 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 (fma.f64 x x x) (*.f64 (*.f64 x x) (fma.f64 x x #s(literal 1 binary64))) #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 (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) (fma.f64 x x x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))))
(*.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)) (+.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 (+.f64 #s(literal 1 binary64) (fma.f64 x x x)) (+.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))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (+.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 #s(literal -1 binary64) x) (-.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))))

simplify202.0ms (3.8%)

Memory
-33.7MiB live, 223.4MiB allocated
Algorithm
egg-herbie
Rules
3 418×accelerator-lowering-fma.f32
3 418×accelerator-lowering-fma.f64
1 734×div-sub
1 676×*-lowering-*.f32
1 676×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
012100
13991
26782
313082
436582
586782
6258682
7516382
0815882
Stop Event
iter limit
node limit
Counts
24 → 24
Calls
Call 1
Inputs
(/ -1 x)
(/ (- (* -1 x) 1) x)
(/ (- (* -1 x) 1) x)
(/ (- (* -1 x) 1) x)
-1
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
-1
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
-1
(- (* -1 x) 1)
(- (* -1 x) 1)
(- (* -1 x) 1)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 x) 1) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -1 x) 1) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/ (- (* -1 x) 1) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) 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)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) 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)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(* -1 (+ 1 (/ 1 x)))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) 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)
(* -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)

eval78.0ms (1.5%)

Memory
-2.3MiB live, 151.3MiB allocated
Compiler

Compiled 15 032 to 1 739 computations (88.4% saved)

prune103.0ms (2%)

Memory
6.6MiB live, 165.8MiB allocated
Pruning

7 alts after pruning (0 fresh and 7 done)

PrunedKeptTotal
New6360636
Fresh000
Picked011
Done066
Total6367643
Accuracy
100.0%
Counts
643 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.9%
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
50.7%
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
50.6%
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
100.0%
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
51.2%
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
49.0%
#s(literal 1 binary64)
49.8%
#s(literal -1 binary64)
Compiler

Compiled 84 to 47 computations (44% saved)

regimes7.0ms (0.1%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Calls

2 calls:

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

Compiled 10 to 6 computations (40% saved)

regimes9.0ms (0.2%)

Memory
-25.8MiB live, 14.7MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(/.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x))
Outputs
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
Calls

2 calls:

6.0ms
x
3.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.2%3x
99.2%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
Outputs
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64))
Calls

1 calls:

2.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.5%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes2.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
Outputs
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
98.2%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 8 to 5 computations (37.5% saved)

regimes3.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

2 calls:

2.0ms
x
1.0ms
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
97.2%3x
97.2%2(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB 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 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
49.8%1x
49.8%1(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 6 computations (40% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.44617281907104517
0.9981708563618718
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.44617281907104517
0.9981708563618718
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.44617281907104517
0.9981708563618718
Compiler

Compiled 11 to 9 computations (18.2% saved)

bsearch12.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-0.44617281907104517
0.9981708563618718
Samples
4.0ms240×0valid
Compiler

Compiled 101 to 99 computations (2% saved)

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

simplify15.0ms (0.3%)

Memory
-22.3MiB live, 15.7MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
1-exp_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02175
12875
23175
33375
43475
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -3602879701896397/9007199254740992 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -3602879701896397/9007199254740992 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -3602879701896397/9007199254740992 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -3602879701896397/9007199254740992 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -3602879701896397/9007199254740992 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 x x x) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -3602879701896397/9007199254740992 binary64)) #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness1.0s (19.7%)

Memory
7.4MiB live, 330.9MiB allocated
Rules
10 702×accelerator-lowering-fma.f32
10 702×accelerator-lowering-fma.f64
2 974×/-lowering-/.f32
2 974×/-lowering-/.f64
2 752×accelerator-lowering-fma.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0513
13813
229113
341027
0100117
040165
1114150
2255150
3590146
41225146
52794146
64949146
76697146
87350146
97545146
107569146
117580146
127964146
08165140
Stop Event
done
iter limit
node limit
iter limit
node limit
Compiler

Compiled 111 to 48 computations (56.8% saved)

preprocess56.0ms (1.1%)

Memory
17.3MiB live, 91.1MiB allocated
Compiler

Compiled 168 to 52 computations (69% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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