x / (x^2 + 1)

Time bar (total: 4.0s)

analyze3.0ms (0.1%)

Memory
-34.4MiB live, 0.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
100%100%0%0%0%0%0%2
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample500.0ms (12.4%)

Memory
77.3MiB live, 676.5MiB allocated
Samples
346.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 180.0ms
ival-mult: 70.0ms (39% of total)
ival-div: 58.0ms (32.3% of total)
ival-add: 38.0ms (21.2% of total)
ival-true: 6.0ms (3.3% of total)
exact: 5.0ms (2.8% of total)
ival-assert: 3.0ms (1.7% of total)
Bogosity

preprocess24.0ms (0.6%)

Memory
-8.4MiB live, 29.1MiB allocated
Algorithm
egg-herbie
Rules
46×associate-*l*
42×times-frac
30×unsub-neg
28×distribute-lft-neg-in
26×distribute-neg-frac2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01022
12822
26421
313021
423421
533221
634521
734721
835121
057
187
086
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ x (+ (* x x) 1))
Outputs
(/ x (+ (* x x) 1))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Call 2
Inputs
(/ x (+ (* x x) 1))
(/ (neg x) (+ (* (neg x) (neg x)) 1))
(neg (/ (neg x) (+ (* (neg x) (neg x)) 1)))
Outputs
(/ x (+ (* x x) 1))
(/ x (+ 1 (* x x)))
(/ (neg x) (+ (* (neg x) (neg x)) 1))
(/ x (- -1 (* x x)))
(neg (/ (neg x) (+ (* (neg x) (neg x)) 1)))
(/ x (+ 1 (* x x)))
Symmetry

(negabs x)

explain108.0ms (2.7%)

Memory
-10.9MiB live, 82.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
550-0-(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (*.f64 x x) #s(literal 1 binary64))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
/.f64(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))n/o550
(*.f64 x x)overflow55
(+.f64 (*.f64 x x) #s(literal 1 binary64))overflow55
Confusion
Predicted +Predicted -
+550
-0201
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5500
-00201
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0201
155
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
38.0ms512×0valid
Compiler

Compiled 54 to 24 computations (55.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 20.0ms (73.6% of total)
ival-mult: 4.0ms (14.7% of total)
ival-add: 2.0ms (7.4% 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
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 8 to 5 computations (37.5% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(+.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff0
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Rules
+-lowering-+.f64
+-lowering-+.f32
/-lowering-/.f32
/-lowering-/.f64
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0517
1817
0815
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ x (+ (* x x) 1))
x
(+ (* x x) 1)
(* x x)
1
Outputs
(/ x (+ (* x x) 1))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
x
(+ (* x x) 1)
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(* x x)
(*.f64 x x)
1
#s(literal 1 binary64)

localize19.0ms (0.5%)

Memory
-7.8MiB live, 29.6MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 x x)
accuracy100.0%
(+.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy79.8%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Samples
13.0ms256×0valid
Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 2.0ms (37.7% of total)
ival-mult: 2.0ms (37.7% of total)
ival-add: 1.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
3 → 36
Calls
Call 1
Inputs
#<alt (/ x (+ (* x x) 1))>
#<alt (+ (* x x) 1)>
#<alt (* x x)>
Outputs
#<alt x>
#<alt (* x (+ 1 (* -1 (pow x 2))))>
#<alt (* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))>
#<alt (* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))>
#<alt (/ 1 x)>
#<alt (/ (- 1 (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)>
#<alt (/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)>
#<alt (/ 1 x)>
#<alt (* -1 (/ (- (/ 1 (pow x 2)) 1) x))>
#<alt (* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))>
#<alt (* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

9 calls:

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

rewrite634.0ms (15.7%)

Memory
-18.7MiB live, 580.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 942×/-lowering-/.f32
4 942×/-lowering-/.f64
4 762×accelerator-lowering-fma.f32
4 762×accelerator-lowering-fma.f64
3 572×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0515
13015
219915
3175915
0855413
Stop Event
iter limit
node limit
Counts
3 → 327
Calls
Call 1
Inputs
(/ x (+ (* x x) 1))
(+ (* x x) 1)
(* x x)
Outputs
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(+.f64 (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)) #s(literal -1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1 binary64))))
(exp.f64 (+.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1 binary64)) (log.f64 x)))
(-.f64 #s(literal 0 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))))
(fma.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (*.f64 x x) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))) (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 x (+.f64 (*.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 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))) (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64))))) (*.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x)))))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (+.f64 (*.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 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal 1 binary64)))) (*.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64)))))
(/.f64 (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) x))
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) x)))
(/.f64 (/.f64 x (-.f64 #s(literal -1 binary64) (*.f64 x x))) #s(literal -1 binary64))
(/.f64 (/.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))))
(/.f64 (/.f64 x (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))
(/.f64 (*.f64 x (+.f64 (*.f64 x x) #s(literal -1 binary64))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)))
(/.f64 (*.f64 x (+.f64 (*.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 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))))))
(/.f64 (*.f64 x (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x)))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))) (+.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 x x))))
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(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x (*.f64 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)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x)))))))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 (*.f64 x x) #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 x (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x)))))))
(*.f64 (pow.f64 (/.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 x (*.f64 x (*.f64 x x)))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(*.f64 (pow.f64 (/.f64 #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) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 0 binary64) x) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) x))

simplify689.0ms (17.1%)

Memory
14.6MiB live, 610.7MiB allocated
Algorithm
egg-herbie
Rules
12 662×accelerator-lowering-fma.f32
12 662×accelerator-lowering-fma.f64
2 988×*-lowering-*.f32
2 988×*-lowering-*.f64
1 640×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045226
1131224
2312216
3886212
42372210
55565210
67658210
08078197
Stop Event
iter limit
node limit
Counts
36 → 36
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/ 1 x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
x
(* x (+ 1 (* -1 (pow x 2))))
(*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (+.f64 #s(literal -1 binary64) (*.f64 x x)))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x (*.f64 x x))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x)
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x))) x)
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(+ 1 (pow x 2))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

eval41.0ms (1%)

Memory
17.1MiB live, 92.9MiB allocated
Compiler

Compiled 13 245 to 1 064 computations (92% saved)

prune40.0ms (1%)

Memory
-17.7MiB live, 102.6MiB allocated
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New3612363
Fresh000
Picked011
Done000
Total3613364
Accuracy
100.0%
Counts
364 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
50.8%
(/.f64 #s(literal 1 binary64) x)
51.5%
x
Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify3.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal 1 binary64) x)
Rules
/-lowering-/.f32
/-lowering-/.f64
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036
156
056
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
x
(/ 1 x)
1
x
Outputs
x
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
1
#s(literal 1 binary64)
x

localize11.0ms (0.3%)

Memory
22.2MiB live, 22.2MiB allocated
Localize:

Found 1 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 #s(literal 1 binary64) x)
Samples
7.0ms256×0valid
Compiler

Compiled 8 to 5 computations (37.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 2.0ms (84% 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
0.9MiB live, 0.9MiB allocated
Counts
1 → 12
Calls
Call 1
Inputs
#<alt (/ 1 x)>
Outputs
#<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

3 calls:

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

rewrite259.0ms (6.4%)

Memory
9.4MiB live, 548.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 448×accelerator-lowering-fma.f32
5 448×accelerator-lowering-fma.f64
2 018×*-lowering-*.f32
2 018×*-lowering-*.f64
1 228×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033
1133
2423
31333
46193
559613
080233
Stop Event
iter limit
node limit
Counts
1 → 651
Calls
Call 1
Inputs
(/ 1 x)
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) x))
(+.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -1/4 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64))) (log.f64 (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1/2 binary64))) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x x))) #s(literal 0 binary64))
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 x (/.f64 x (*.f64 x (*.f64 x x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1/4 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -1 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal -1/2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 0 binary64)))
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(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (log.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1/2 binary64))))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1/4 binary64))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -3/4 binary64) (log.f64 x))))
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal -3/4 binary64) (log.f64 x))) (pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -1/4 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -1/4 binary64))))

simplify9.0ms (0.2%)

Memory
-18.6MiB live, 21.0MiB allocated
Algorithm
egg-herbie
Rules
/-lowering-/.f32
/-lowering-/.f64
1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0336
1536
0536
Stop Event
iter limit
saturated
Counts
12 → 12
Calls
Call 1
Inputs
(/ 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
(/ 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)

eval266.0ms (6.6%)

Memory
11.8MiB live, 161.8MiB allocated
Compiler

Compiled 9 993 to 900 computations (91% saved)

prune409.0ms (10.2%)

Memory
-6.2MiB live, 250.6MiB allocated
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New6630663
Fresh000
Picked022
Done011
Total6633666
Accuracy
100.0%
Counts
666 → 3
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
50.8%
(/.f64 #s(literal 1 binary64) x)
51.5%
x
Compiler

Compiled 26 to 15 computations (42.3% saved)

regimes4.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Outputs
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
Calls

2 calls:

2.0ms
x
2.0ms
(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Results
AccuracySegmentsBranch
100.0%2x
99.9%2(/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64)))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
5.6MiB live, 5.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
x
(/.f64 #s(literal 1 binary64) x)
Outputs
x
(/.f64 #s(literal 1 binary64) x)
Calls

1 calls:

1.0ms
x
Results
AccuracySegmentsBranch
98.3%2x
Compiler

Compiled 2 to 1 computations (50% saved)

regimes2.0ms (0.1%)

Memory
-34.0MiB live, 4.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
x
Outputs
x
Calls

1 calls:

2.0ms
x
Results
AccuracySegmentsBranch
51.5%1x
Compiler

Compiled 2 to 1 computations (50% saved)

bsearch6.0ms (0.2%)

Memory
16.6MiB live, 16.6MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
6.0ms
54230.61734157028
1041587923237.1233
Samples
3.0ms80×0valid
Compiler

Compiled 81 to 59 computations (27.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-mult: 1.0ms (64.2% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch16.0ms (0.4%)

Memory
-20.3MiB live, 27.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
15.0ms
0.7136655005521351
54230.61734157028
Samples
10.0ms144×0valid
Compiler

Compiled 83 to 63 computations (24.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-mult: 6.0ms (79.6% of total)
ival-div: 1.0ms (13.3% of total)
ival-add: 1.0ms (13.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify7.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated
Algorithm
egg-herbie
Rules
+-commutative_binary64
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01123
11523
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) x))
x
Outputs
(if (<=.f64 x #s(literal 100000000 binary64)) (/.f64 x (+.f64 (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(if (<=.f64 x #s(literal 1 binary64)) x (/.f64 #s(literal 1 binary64) x))
x

soundness833.0ms (20.7%)

Memory
-18.7MiB live, 697.6MiB allocated
Rules
12 662×accelerator-lowering-fma.f32
12 662×accelerator-lowering-fma.f64
2 988×*-lowering-*.f32
2 988×*-lowering-*.f64
1 640×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045226
1131224
2312216
3886212
42372210
55565210
67658210
08078197
Stop Event
done
iter limit
node limit
Compiler

Compiled 36 to 19 computations (47.2% saved)

preprocess137.0ms (3.4%)

Memory
25.2MiB live, 217.0MiB allocated
Compiler

Compiled 110 to 60 computations (45.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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