3frac (problem 3.3.3)

Time bar (total: 9.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.8%6.3%50%0%0%0%4
93.8%46.9%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%50%0%50%0%0%0%11
100%50%0%50%0%0%0%12
Compiler

Compiled 20 to 13 computations (35% saved)

sample1.9s (20.8%)

Memory
43.7MiB live, 2 185.5MiB allocated
Samples
1.3s7 273×1valid
148.0ms513×2valid
41.0ms470×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-div: 385.0ms (30.8% of total)
adjust: 255.0ms (20.4% of total)
ival-add: 251.0ms (20.1% of total)
ival-sub: 248.0ms (19.9% of total)
ival-fabs: 62.0ms (5% of total)
ival->: 36.0ms (2.9% of total)
exact: 9.0ms (0.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain185.0ms (2.1%)

Memory
18.5MiB live, 289.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
780-0-(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(/.f64 #s(literal 2 binary64) x)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 2 binary64)
00-0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))cancellation780
Confusion
Predicted +Predicted -
+780
-0178
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7800
-00178
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0178
178
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
69.0ms466×1valid
5.0ms24×2valid
1.0ms22×0valid
Compiler

Compiled 157 to 44 computations (72% saved)

Precisions
Click to see histograms. Total time spent on operations: 52.0ms
ival-div: 20.0ms (38.1% of total)
adjust: 13.0ms (24.8% of total)
ival-add: 9.0ms (17.1% of total)
ival-sub: 9.0ms (17.1% of total)
exact: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess41.0ms (0.4%)

Memory
-20.0MiB live, 34.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
13232
28730
322330
443730
554430
657730
758230
01015
01715
12815
24615
37415
413415
524815
638915
749915
854615
054615
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
Symmetry

(negabs x)

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.9%
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify15.0ms (0.2%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
cost-diff0
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
01746
12846
24646
37446
413446
524846
638946
749946
854646
054646
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.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 #s(literal 2 binary64) x))
(-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

localize49.0ms (0.5%)

Memory
20.3MiB live, 58.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy0.046875
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
accuracy17.392622651879382
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Samples
37.0ms233×1valid
2.0ms12×2valid
1.0ms11×0valid
Compiler

Compiled 94 to 22 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 11.0ms (37.7% of total)
adjust: 6.0ms (20.5% of total)
ival-sub: 6.0ms (20.5% of total)
ival-add: 5.0ms (17.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
4 → 33
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
x
(* x (+ 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
Calls

3 calls:

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

simplify157.0ms (1.7%)

Memory
0.3MiB live, 116.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099363
1260343
2673322
32160309
46993309
08277303
Stop Event
iter limit
node limit
Counts
33 → 32
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
x
(* x (+ 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)

rewrite229.0ms (2.5%)

Memory
8.1MiB live, 198.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
01732
19432
2109532
0850829
Stop Event
iter limit
node limit
iter limit
Counts
4 → 383
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64))
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(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (log1p.f64 x))

eval89.0ms (1%)

Memory
-29.4MiB live, 89.7MiB allocated
Compiler

Compiled 12 946 to 1 486 computations (88.5% saved)

prune17.0ms (0.2%)

Memory
8.0MiB live, 44.9MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New39712409
Fresh000
Picked011
Done000
Total39713410
Accuracy
99.2%
Counts
410 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.8%
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
15.9%
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
16.9%
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
72.8%
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
15.9%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
17.5%
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
17.5%
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
72.9%
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
3.8%
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
71.9%
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
72.0%
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
98.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
5.3%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Compiler

Compiled 547 to 312 computations (43% saved)

simplify221.0ms (2.4%)

Memory
20.6MiB live, 304.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff384
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff0
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
cost-diff0
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff384
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
cost-diff0
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034235
055231
1107231
2199212
3445210
41450210
55883210
08666204
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
#s(literal -2 binary64)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
x
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal -2 binary64) x) (fma.f64 x x x))
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
(-.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal -2 binary64) x)
x
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)

localize290.0ms (3.2%)

Memory
8.4MiB live, 313.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
accuracy0.00390625
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
accuracy0.109375
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy59.662248061422396
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
accuracy0.00390625
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
accuracy0.00390625
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy17.392622651879382
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy33.818993747053575
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.046875
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
accuracy17.392622651879382
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy60.70771844311305
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
accuracy0
(/.f64 #s(literal -2 binary64) x)
accuracy60.59027661875084
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
accuracy0
(pow.f64 x #s(literal 3 binary64))
accuracy0.48620101447100983
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
accuracy0.5320288202888859
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
Samples
158.0ms149×2valid
63.0ms104×1valid
1.0ms0valid
Compiler

Compiled 461 to 65 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 125.0ms
ival-mult: 48.0ms (38.4% of total)
ival-div: 29.0ms (23.2% of total)
adjust: 24.0ms (19.2% of total)
ival-add: 13.0ms (10.4% of total)
ival-sub: 7.0ms (5.6% of total)
ival-pow: 3.0ms (2.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series73.0ms (0.8%)

Memory
-17.3MiB live, 21.6MiB allocated
Counts
19 → 65
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(pow x 3)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 2 x)
-2
(- (* -1 x) 2)
x
(* x (+ 1 x))
2
(+ 2 (* 2 x))
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- x 1)
(- x 2)
(- (* x (+ 1 (* -1 x))) 2)
(- (* x (+ 1 (* x (- x 1)))) 2)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(* x (- 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(- (/ 1 (pow x 2)) (+ 1 (/ 1 x)))
(- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3)))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(* -1 (* x (- (/ 1 x) 1)))
(- (* -1 (/ (- 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) 1)
Calls

3 calls:

TimeVariablePointExpression
67.0ms
x
@-inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ x 1)) (/ 2 x) (+ (* -2 (+ x 1)) x) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (- x 1) (/ (- x (* 2 (+ x 1))) (+ x 1)))
3.0ms
x
@0
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ x 1)) (/ 2 x) (+ (* -2 (+ x 1)) x) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (- x 1) (/ (- x (* 2 (+ x 1))) (+ x 1)))
2.0ms
x
@inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ x 1)) (/ 2 x) (+ (* -2 (+ x 1)) x) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (- x 1) (/ (- x (* 2 (+ x 1))) (+ x 1)))

simplify326.0ms (3.6%)

Memory
-8.1MiB live, 161.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148600
1427562
21088531
33162516
08379498
Stop Event
iter limit
node limit
Counts
65 → 64
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(pow x 3)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 2 x)
-2
(- (* -1 x) 2)
x
(* x (+ 1 x))
2
(+ 2 (* 2 x))
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
-1
(- x 1)
(- x 2)
(- (* x (+ 1 (* -1 x))) 2)
(- (* x (+ 1 (* x (- x 1)))) 2)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(* x (- 1 (/ 1 x)))
(* -1 (+ 1 (/ 1 x)))
(- (/ 1 (pow x 2)) (+ 1 (/ 1 x)))
(- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3)))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(* -1 (* x (- (/ 1 x) 1)))
(- (* -1 (/ (- 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) 1)
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
x
(* x (+ 1 x))
(fma.f64 x x x)
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- x 2)
(-.f64 x #s(literal 2 binary64))
(- (* x (+ 1 (* -1 x))) 2)
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -2 binary64))
(- (* x (+ 1 (* x (- x 1)))) 2)
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x #s(literal -2 binary64))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* -1 (+ 1 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(- (/ 1 (pow x 2)) (+ 1 (/ 1 x)))
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64))
(- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3)))))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(- (* -1 (/ (- 1 (/ 1 x)) x)) 1)
(-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))

rewrite323.0ms (3.6%)

Memory
15.6MiB live, 170.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034194
055187
1272178
22952178
09527168
Stop Event
iter limit
node limit
iter limit
Counts
19 → 973
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) x)
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))) (neg.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (*.f64 x x) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 x x))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3/2 binary64) (*.f64 (log.f64 x) #s(literal 3/2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
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(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) x))) (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) x) (*.f64 x x)))) (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) x) (*.f64 x x)))))
(-.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) x)) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x)) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 x x) (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x)) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) x) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))) (/.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) x) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) (+.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) #s(literal -1 binary64)))

eval245.0ms (2.7%)

Memory
32.7MiB live, 148.7MiB allocated
Compiler

Compiled 29 335 to 2 928 computations (90% saved)

prune483.0ms (5.3%)

Memory
-33.8MiB live, 114.5MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New93811949
Fresh617
Picked415
Done101
Total94913962
Accuracy
100.0%
Counts
962 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.0%
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
16.0%
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
72.8%
(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
16.9%
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
72.8%
(/.f64 (+.f64 (*.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
99.3%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
99.1%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
17.5%
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
98.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
5.3%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Compiler

Compiled 603 to 357 computations (40.8% saved)

simplify540.0ms (6%)

Memory
-26.4MiB live, 168.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
cost-diff384
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
cost-diff0
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
cost-diff0
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
cost-diff0
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff-5056
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
cost-diff-384
(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
cost-diff-5824
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
cost-diff0
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
cost-diff0
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))
cost-diff0
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042339
068331
1126321
2213300
3401298
41026297
53415297
08207297
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal -2 binary64)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
#s(literal 2 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
x
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
Outputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal -2 binary64)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
x
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(fma.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(-.f64 #s(literal -2 binary64) x)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)

localize880.0ms (9.7%)

Memory
9.6MiB live, 379.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
accuracy0.00390625
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64)))
accuracy0.109375
(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy59.662248061422396
(fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
accuracy0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.00390625
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
accuracy0.109375
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy0.482163846981401
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
accuracy0
(*.f64 x x)
accuracy0.08984375
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
accuracy0.48620101447100983
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
accuracy0.5212491209762868
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy0
(*.f64 x x)
accuracy0.09375
(*.f64 (*.f64 x x) x)
accuracy0.48620101447100983
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
accuracy0.5320288202888859
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
accuracy0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.00390625
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
accuracy0.109375
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy0.35852469436004075
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))
Samples
548.0ms149×2valid
250.0ms104×1valid
1.0ms0valid
Compiler

Compiled 630 to 82 computations (87% saved)

Precisions
Click to see histograms. Total time spent on operations: 555.0ms
ival-div: 257.0ms (46.3% of total)
ival-mult: 171.0ms (30.8% of total)
ival-sub: 77.0ms (13.9% of total)
adjust: 26.0ms (4.7% of total)
ival-add: 23.0ms (4.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
16.9MiB live, 16.9MiB allocated
Counts
21 → 51
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
(*.f64 x x)
(*.f64 (*.f64 x x) x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(/ 2 (pow x 3))
(/ (+ 2 (* -2 x)) (pow x 3))
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* -2 x)) (pow x 2))
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2))
(pow x 2)
(pow x 3)
(/ -2 (pow x 2))
(/ (- (* 2 x) 2) (pow x 2))
(/ (- (* 2 x) 2) x)
-2
(- (* -1 x) 2)
(- x 2)
(- (* x (+ 1 (* -1 x))) 2)
(- (* x (+ 1 (* x (- x 1)))) 2)
(* -1 x)
(* x (- x 1))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(- 2 (* 2 (/ 1 x)))
(- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (/ 1 (pow x 2)) (+ 1 (/ 1 x)))
(- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3)))))
(/ (- (* 2 (/ 1 x)) 2) x)
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(- (* -1 (/ (- 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) 1)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- (/ (- (/ 2 x) 2) x) -2) x) (- (/ (- (/ 2 x) 2) x) -2) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- 2 (/ 2 x)) x) (- 2 (/ 2 x)) (+ (* (+ x 1) -2) x) (/ (+ (* (/ (+ (* (+ x 1) -2) x) (+ x 1)) (- x 1)) x) (* (- x 1) x)) (+ (* (/ (+ (* (+ x 1) -2) x) (+ x 1)) (- x 1)) x) (/ (+ (* (+ x 1) -2) x) (+ x 1)) (/ (- (/ 2 x) 2) x) (* x (- x 1)))
3.0ms
x
@inf
((/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- (/ (- (/ 2 x) 2) x) -2) x) (- (/ (- (/ 2 x) 2) x) -2) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- 2 (/ 2 x)) x) (- 2 (/ 2 x)) (+ (* (+ x 1) -2) x) (/ (+ (* (/ (+ (* (+ x 1) -2) x) (+ x 1)) (- x 1)) x) (* (- x 1) x)) (+ (* (/ (+ (* (+ x 1) -2) x) (+ x 1)) (- x 1)) x) (/ (+ (* (+ x 1) -2) x) (+ x 1)) (/ (- (/ 2 x) 2) x) (* x (- x 1)))
2.0ms
x
@0
((/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- (/ (- (/ 2 x) 2) x) -2) x) (- (/ (- (/ 2 x) 2) x) -2) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- 2 (/ 2 x)) x) (- 2 (/ 2 x)) (+ (* (+ x 1) -2) x) (/ (+ (* (/ (+ (* (+ x 1) -2) x) (+ x 1)) (- x 1)) x) (* (- x 1) x)) (+ (* (/ (+ (* (+ x 1) -2) x) (+ x 1)) (- x 1)) x) (/ (+ (* (+ x 1) -2) x) (+ x 1)) (/ (- (/ 2 x) 2) x) (* x (- x 1)))

simplify144.0ms (1.6%)

Memory
-15.2MiB live, 177.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118484
1325470
2861438
32559422
46932422
08031405
Stop Event
iter limit
node limit
Counts
51 → 51
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(/ 2 (pow x 3))
(/ (+ 2 (* -2 x)) (pow x 3))
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* -2 x)) (pow x 2))
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2))
(pow x 2)
(pow x 3)
(/ -2 (pow x 2))
(/ (- (* 2 x) 2) (pow x 2))
(/ (- (* 2 x) 2) x)
-2
(- (* -1 x) 2)
(- x 2)
(- (* x (+ 1 (* -1 x))) 2)
(- (* x (+ 1 (* x (- x 1)))) 2)
(* -1 x)
(* x (- x 1))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(- 2 (* 2 (/ 1 x)))
(- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
-1
(* -1 (+ 1 (/ 1 x)))
(- (/ 1 (pow x 2)) (+ 1 (/ 1 x)))
(- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3)))))
(/ (- (* 2 (/ 1 x)) 2) x)
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(- (* -1 (/ (- 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) 1)
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* -2 x)) (pow x 3))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* -2 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) x)
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ -2 (pow x 2))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/ (- (* 2 x) 2) (pow x 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* 2 x) 2) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(- x 2)
(-.f64 x #s(literal 2 binary64))
(- (* x (+ 1 (* -1 x))) 2)
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -2 binary64))
(- (* x (+ 1 (* x (- x 1)))) 2)
(fma.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x #s(literal -2 binary64))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))) x)
(- 2 (* 2 (/ 1 x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(- (/ 1 (pow x 2)) (+ 1 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3)))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/ (- (* 2 (/ 1 x)) 2) x)
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64))) x)
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64))
(- (* -1 (/ (- 1 (/ 1 x)) x)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)

rewrite220.0ms (2.4%)

Memory
-4.9MiB live, 357.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042289
068271
1330271
22915271
09409269
Stop Event
iter limit
node limit
iter limit
Counts
21 → 1 012
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
(*.f64 x x)
(*.f64 (*.f64 x x) x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (-.f64 x #s(literal 1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (neg.f64 x)))
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)))
(*.f64 (neg.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))) (pow.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x))
(*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))))) (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x))))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (-.f64 x #s(literal 1 binary64))) x)
(/.f64 (*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x)))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) x)))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))))
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(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)))) #s(literal -1 binary64)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x))
(*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
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(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (neg.f64 x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (*.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 x x (*.f64 x #s(literal -1 binary64)))
(fma.f64 x x (neg.f64 x))
(+.f64 (*.f64 x x) (*.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 x x) (neg.f64 x))

eval136.0ms (1.5%)

Memory
15.5MiB live, 283.7MiB allocated
Compiler

Compiled 39 944 to 4 047 computations (89.9% saved)

prune31.0ms (0.3%)

Memory
20.1MiB live, 97.9MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New1 02971 036
Fresh077
Picked235
Done011
Total1 031181 049
Accuracy
100.0%
Counts
1 049 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.0%
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
16.0%
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
72.8%
(/.f64 (fma.f64 (/.f64 #s(approx (+ (* (+ x 1) -2) x) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
16.9%
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
72.8%
(/.f64 (+.f64 (*.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
99.3%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
41.7%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
99.1%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 (*.f64 x x) (neg.f64 x)))
99.1%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
60.0%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
17.5%
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
90.7%
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
99.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
99.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
98.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
5.3%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Compiler

Compiled 858 to 512 computations (40.3% saved)

simplify173.0ms (1.9%)

Memory
-29.0MiB live, 220.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff384
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff1344
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
cost-diff384
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
cost-diff1152
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
cost-diff0
#s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x))
cost-diff0
(/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
cost-diff0
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff-384
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
cost-diff0
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)
cost-diff0
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x))
cost-diff0
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046409
079350
1168350
2348316
3872306
42733286
57938286
08119280
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 x x)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
(fma.f64 x x x)
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))))
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
x
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))
(-.f64 x #s(literal 1 binary64))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 2 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
Outputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x)) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x)) x)
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64))
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(*.f64 (*.f64 x x) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(*.f64 x x)
#s(literal 1/2 binary64)
#s(literal -2 binary64)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) x) (-.f64 x #s(literal 1 binary64)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x x)))
(/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x x))
#s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(+.f64 x #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 x #s(literal 1 binary64))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
#s(literal 2 binary64)
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(-.f64 #s(literal -2 binary64) x)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
(fma.f64 x x x)
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))))
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

localize246.0ms (2.7%)

Memory
14.9MiB live, 362.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy0.09375
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy0.5398413202888859
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
accuracy60.788663402806414
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))))
accuracy0.00390625
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
accuracy0.09765625
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
accuracy0.5398413202888859
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
accuracy61.14991961011495
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
accuracy0
#s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x))
accuracy0.00390625
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy17.392622651879382
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy33.818993747053575
(/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.109375
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy60.70771844311305
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
accuracy0
(*.f64 x x)
accuracy0.109375
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy0.35852469436004075
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x))
accuracy33.84116863046258
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
Samples
127.0ms149×2valid
68.0ms104×1valid
1.0ms0valid
Compiler

Compiled 789 to 92 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 153.0ms
ival-mult: 46.0ms (30.1% of total)
adjust: 42.0ms (27.5% of total)
ival-div: 30.0ms (19.6% of total)
ival-add: 20.0ms (13.1% of total)
ival-sub: 14.0ms (9.2% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.2%)

Memory
-10.7MiB live, 26.2MiB allocated
Counts
24 → 67
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x))
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(+.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 x x)
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(/ 2 (pow x 3))
(/ (+ 2 (* -2 x)) (pow x 3))
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* -2 x)) (pow x 2))
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2))
(* -1 x)
(* x (- x 1))
-1
(- x 1)
x
(* x (+ 1 x))
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
-2
(- (* -1 x) 2)
1
(+ 1 x)
(+ 2 (* -1 x))
(+ 2 (* x (- (* -1 x) 1)))
(pow x 2)
(* x (- (pow x 2) 1))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(- 2 (* 2 (/ 1 x)))
(- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* x (+ 1 (/ 1 x)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(/ (- (* 2 (/ 1 x)) 2) x)
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@-inf
((/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- (/ (- 1 x) (* (* x x) 1/2)) -2) x) (- (/ (- 1 x) (* (* x x) 1/2)) -2) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (+ (* -2 (+ x 1)) x) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (+ (* (+ x 1) -2) x) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* x (+ (* x x) -1))) (+ x 1) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x (* 2 (+ x 1))) (* (- x 1) (- x (* 2 (+ x 1)))) (/ (- 1 x) (* (* x x) 1/2)) (* x x) (* x (+ (* x x) -1)) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x)))
3.0ms
x
@inf
((/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- (/ (- 1 x) (* (* x x) 1/2)) -2) x) (- (/ (- 1 x) (* (* x x) 1/2)) -2) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (+ (* -2 (+ x 1)) x) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (+ (* (+ x 1) -2) x) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* x (+ (* x x) -1))) (+ x 1) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x (* 2 (+ x 1))) (* (- x 1) (- x (* 2 (+ x 1)))) (/ (- 1 x) (* (* x x) 1/2)) (* x x) (* x (+ (* x x) -1)) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x)))
3.0ms
x
@0
((/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- (/ (- 1 x) (* (* x x) 1/2)) -2) x) (- (/ (- 1 x) (* (* x x) 1/2)) -2) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (+ (* -2 (+ x 1)) x) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (+ (* (+ x 1) -2) x) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* x (+ (* x x) -1))) (+ x 1) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x (* 2 (+ x 1))) (* (- x 1) (- x (* 2 (+ x 1)))) (/ (- 1 x) (* (* x x) 1/2)) (* x x) (* x (+ (* x x) -1)) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x)))

simplify139.0ms (1.5%)

Memory
-5.6MiB live, 160.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0154568
1431532
21151508
34322507
08446483
Stop Event
iter limit
node limit
Counts
67 → 66
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(/ 2 (pow x 3))
(/ (+ 2 (* -2 x)) (pow x 3))
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* -2 x)) (pow x 2))
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2))
(* -1 x)
(* x (- x 1))
-1
(- x 1)
x
(* x (+ 1 x))
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
-2
(- (* -1 x) 2)
1
(+ 1 x)
(+ 2 (* -1 x))
(+ 2 (* x (- (* -1 x) 1)))
(pow x 2)
(* x (- (pow x 2) 1))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(- 2 (* 2 (/ 1 x)))
(- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* x (+ 1 (/ 1 x)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(/ (- (* 2 (/ 1 x)) 2) x)
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (*.f64 x (fma.f64 x x #s(literal 1 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* -2 x)) (pow x 3))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 3))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* -2 x)) (pow x 2))
(/.f64 (/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) x)
(/ (+ 2 (* x (- (* 2 x) 2))) (pow x 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
x
(* x (+ 1 x))
(fma.f64 x x x)
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x))
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* x (- (* -1 x) 1)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(- 2 (* 2 (/ 1 x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(/ (- (* 2 (/ 1 x)) 2) x)
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) x)) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(+ 2 (* -1 (/ (- 2 (* 2 (/ 1 x))) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(* -1 (/ (- 2 (* 2 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

rewrite213.0ms (2.4%)

Memory
10.2MiB live, 248.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046335
079309
1389309
23427309
08868301
Stop Event
iter limit
node limit
iter limit
Counts
24 → 1 144
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x))
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(+.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 x x)
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
Outputs
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)))
(*.f64 (neg.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) x))
(*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))))) (neg.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (-.f64 x #s(literal 1 binary64))) x)
(/.f64 (*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(neg.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x)))) #s(literal -1 binary64)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (/.f64 x (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (fma.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) #s(literal 8 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)) #s(literal 4 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x))
(pow.f64 (/.f64 (/.f64 x (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
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eval186.0ms (2.1%)

Memory
-3.8MiB live, 282.4MiB allocated
Compiler

Compiled 53 246 to 4 484 computations (91.6% saved)

prune41.0ms (0.5%)

Memory
28.1MiB live, 105.5MiB allocated
Pruning

18 alts after pruning (13 fresh and 5 done)

PrunedKeptTotal
New1 44061 446
Fresh279
Picked415
Done044
Total1 446181 464
Accuracy
100.0%
Counts
1 464 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
72.8%
(/.f64 (fma.f64 (/.f64 #s(approx (+ (* (+ x 1) -2) x) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
15.9%
(/.f64 (fma.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
16.9%
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
16.9%
(/.f64 (+.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
72.8%
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
41.7%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
99.1%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 (*.f64 x x) (neg.f64 x)))
99.1%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
60.0%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) x))
60.0%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
17.5%
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
90.7%
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
99.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
99.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
98.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
5.3%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Compiler

Compiled 1 406 to 469 computations (66.6% saved)

regimes23.0ms (0.3%)

Memory
-4.6MiB live, 32.8MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 #s(approx (+ (* (+ x 1) -2) x) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
Outputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
Calls

2 calls:

11.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
10.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
99.3%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes20.0ms (0.2%)

Memory
-19.6MiB live, 25.9MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 #s(approx (+ (* (+ x 1) -2) x) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 (*.f64 x x) (neg.f64 x)))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) x)))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (+.f64 (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x x)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
Outputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
Calls

2 calls:

11.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
8.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
99.1%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes8.0ms (0.1%)

Memory
14.5MiB live, 14.5MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(approx (+ (* -2 (+ x 1)) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
Calls

2 calls:

4.0ms
x
3.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.1%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.1%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes10.0ms (0.1%)

Memory
-27.2MiB live, 10.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
Calls

2 calls:

3.0ms
x
2.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.1%1x
99.1%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes5.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.0%1x
99.0%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.4%1x
98.4%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 (*.f64 x x) x))
Outputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
Calls

2 calls:

2.0ms
x
1.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
60.0%1x
60.0%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory
5.6MiB live, 5.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Calls

2 calls:

1.0ms
x
1.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
5.3%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
5.3%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify26.0ms (0.3%)

Memory
6.6MiB live, 44.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047204
161204
277204
390204
4112204
5145204
6146204
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Outputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -2 binary64)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) #s(literal -2 binary64)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

soundness1.2s (13.1%)

Memory
-1.3MiB live, 703.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034194
055187
1272178
22952178
09527168
01032
01732
19432
2109532
0850829
0118484
1325470
2861438
32559422
46932422
08031405
099363
1260343
2673322
32160309
46993309
08277303
042289
068271
1330271
22915271
09409269
0148600
1427562
21088531
33162516
08379498
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 434 to 216 computations (50.2% saved)

preprocess141.0ms (1.6%)

Memory
10.2MiB live, 165.2MiB allocated
Compiler

Compiled 752 to 316 computations (58% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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