Asymptote C

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 15 to 9 computations (40% saved)

sample1.2s (20.6%)

Memory
-254.3MiB live, 1 017.1MiB allocated
Samples
270.0ms4 271×0valid
258.0ms1 565×2valid
256.0ms2 420×1valid
Precisions
Click to see histograms. Total time spent on operations: 587.0ms
ival-div: 252.0ms (42.9% of total)
ival-sub: 126.0ms (21.5% of total)
adjust: 109.0ms (18.6% of total)
ival-add: 85.0ms (14.5% of total)
ival-true: 7.0ms (1.2% of total)
exact: 5.0ms (0.9% of total)
ival-assert: 4.0ms (0.7% of total)
Bogosity

explain206.0ms (3.5%)

Memory
-50.8MiB live, 129.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1350-0-(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(/.f64 x (+.f64 x #s(literal 1 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))cancellation1351
Confusion
Predicted +Predicted -
+1350
-0121
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13500
-01120
Precision?
0.9926470588235294
Recall?
1.0
Freqs
test
numberfreq
0121
1135
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
20.0ms114×2valid
17.0ms146×1valid
14.0ms252×0valid
Compiler

Compiled 83 to 25 computations (69.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 12.0ms (35.6% of total)
ival-sub: 8.0ms (23.7% of total)
adjust: 7.0ms (20.8% of total)
ival-add: 5.0ms (14.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess63.0ms (1.1%)

Memory
4.5MiB live, 43.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
12331
26227
317426
441626
586526
6118926
7134826
8143026
9144026
0713
01213
12013
22813
34413
47713
511513
620313
737213
888213
9119013
10127513
11128513
0128513
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Outputs
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
Compiler

Compiled 13 to 7 computations (46.2% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB 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
51.7%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify27.0ms (0.5%)

Memory
22.5MiB live, 22.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01233
12033
22833
34433
47733
511533
620333
737233
888233
9119033
10127533
11128533
0128533
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal 1 binary64))

localize65.0ms (1.1%)

Memory
-2.4MiB live, 37.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0078125
(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy0.0234375
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy30.912297969941566
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Samples
43.0ms57×2valid
8.0ms73×1valid
7.0ms126×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 6.0ms (35.8% of total)
adjust: 4.0ms (23.9% of total)
ival-sub: 4.0ms (23.9% of total)
ival-add: 3.0ms (17.9% 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
2.5MiB live, 2.5MiB allocated
Counts
4 → 29
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
Outputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(+ 1 x)
-1
(- (* -2 x) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* x (+ 1 (/ 1 x)))
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
Calls

3 calls:

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

simplify146.0ms (2.5%)

Memory
-17.5MiB live, 62.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095272
1262263
2587251
31514235
43759233
56729233
08127222
Stop Event
iter limit
node limit
Counts
29 → 28
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(+ 1 x)
-1
(- (* -2 x) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* x (+ 1 (/ 1 x)))
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
x
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* x (- x 1))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64))
(- (* x (- (* -2 x) 2)) 1)
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -2 binary64)) x #s(literal -1 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x))

rewrite238.0ms (4%)

Memory
5.5MiB live, 116.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
01228
16728
270428
0809328
Stop Event
iter limit
node limit
iter limit
Counts
4 → 350
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (pow.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (pow.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (fma.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (*.f64 (/.f64 (pow.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 #s(literal 1 binary64) x))))))))
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(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.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 3 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) 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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64)))

eval92.0ms (1.6%)

Memory
5.3MiB live, 52.7MiB allocated
Compiler

Compiled 11 740 to 1 315 computations (88.8% saved)

prune26.0ms (0.4%)

Memory
-16.1MiB live, 23.5MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New39913412
Fresh000
Picked011
Done000
Total39914413
Accuracy
100.0%
Counts
413 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
49.8%
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
49.8%
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
51.7%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
50.5%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
51.7%
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
47.2%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
46.8%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
53.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
53.9%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
53.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
46.9%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
53.4%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
46.9%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 523 to 307 computations (41.3% saved)

simplify146.0ms (2.5%)

Memory
36.8MiB live, 107.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
cost-diff2
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
cost-diff3
(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
cost-diff0
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff1
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff1
(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
cost-diff7
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
cost-diff0
(/.f64 #s(literal -3 binary64) x)
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
cost-diff0
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
cost-diff0
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031214
052214
199210
2226197
3555197
41946183
08331180
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
#s(literal -3 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(literal -1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
#s(literal -3 binary64)
(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(literal -1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 x (-.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)

localize209.0ms (3.6%)

Memory
-20.9MiB live, 102.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy0.1171875
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
accuracy18.258863244932336
(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
accuracy30.912297969941566
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy0.01171875
(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
accuracy18.292552966478457
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
accuracy31.48440651862538
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
accuracy0.0
(/.f64 #s(literal -3 binary64) x)
accuracy29.78690696919734
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
accuracy33.99069767724861
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy0.00390625
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
accuracy0.05859375
(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
accuracy0.078125
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
accuracy29.461186447827405
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
Samples
80.0ms68×2valid
63.0ms62×1valid
46.0ms126×0valid
Compiler

Compiled 210 to 30 computations (85.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-sub: 47.0ms (38.7% of total)
ival-mult: 33.0ms (27.2% of total)
ival-div: 18.0ms (14.8% of total)
adjust: 12.0ms (9.9% of total)
ival-add: 10.0ms (8.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
11.6MiB live, 11.6MiB allocated
Counts
17 → 62
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
Outputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 (pow x 3))
(/ (- (* -1 x) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ -3 (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(/ 3 (pow x 2))
(/ (+ 3 x) (pow x 2))
(/ -3 x)
-1
(- (* -3 x) 1)
(- (* -2 x) 1)
(- (* x (- (* -1 x) 2)) 1)
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(/ 3 x)
(/ (+ 3 x) x)
(+ 1 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(/ 1 x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+ 1 (* 3 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
Calls

3 calls:

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

simplify148.0ms (2.5%)

Memory
10.2MiB live, 129.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145531
1398520
2994493
32789454
46542454
08101434
Stop Event
iter limit
node limit
Counts
62 → 61
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 (pow x 3))
(/ (- (* -1 x) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ -3 (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(/ 3 (pow x 2))
(/ (+ 3 x) (pow x 2))
(/ -3 x)
-1
(- (* -3 x) 1)
(- (* -2 x) 1)
(- (* x (- (* -1 x) 2)) 1)
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(/ 3 x)
(/ (+ 3 x) x)
(+ 1 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(/ 1 x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+ 1 (* 3 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(/ -3 (pow x 3))
(/.f64 #s(literal -3 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* -1 x) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ -3 (pow x 2))
(/.f64 #s(literal -3 binary64) (*.f64 x x))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -3 binary64) x) x) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
(/ 3 (pow x 2))
(/.f64 #s(literal 3 binary64) (*.f64 x x))
(/ (+ 3 x) (pow x 2))
(/.f64 (/.f64 (-.f64 x #s(literal -3 binary64)) x) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(- (* -2 x) 1)
(fma.f64 #s(literal -2 binary64) x #s(literal -1 binary64))
(- (* x (- (* -1 x) 2)) 1)
(fma.f64 (-.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64))
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(- (* x (- (* -2 x) 2)) 1)
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -2 binary64)) x #s(literal -1 binary64))
x
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* x (- x 1))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
(/ 3 x)
(/.f64 #s(literal 3 binary64) x)
(/ (+ 3 x) x)
(/.f64 (-.f64 x #s(literal -3 binary64)) x)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (* 3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal -2 binary64) x) x)
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) x (*.f64 (neg.f64 x) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)
(+ 1 (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x))
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(+ 1 (* 3 (/ 1 x)))
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) x)
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))

rewrite277.0ms (4.7%)

Memory
-6.1MiB live, 188.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031181
052181
1266159
22882159
08431158
Stop Event
iter limit
node limit
iter limit
Counts
17 → 934
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))
(*.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(pow.f64 (/.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal -3 binary64)) (pow.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64) (-.f64 (*.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x))) (*.f64 (/.f64 #s(literal -3 binary64) x) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x))))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64) (+.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))) (*.f64 x x))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 x (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))) (neg.f64 (*.f64 (*.f64 x #s(literal -1/3 binary64)) x)))
(/.f64 (-.f64 #s(literal 3 binary64) (/.f64 (+.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) x)) (neg.f64 x))
(/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #s(literal -1 binary64)) x)
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64))) (+.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64) (+.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) x)
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (*.f64 x (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x))
(/.f64 (-.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 (neg.f64 x) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) (*.f64 (neg.f64 x) x))
(/.f64 (-.f64 (*.f64 #s(literal -3 binary64) x) (*.f64 x (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) (*.f64 x x))
(/.f64 (-.f64 x (*.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) (*.f64 (*.f64 x #s(literal -1/3 binary64)) x))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 2 binary64))) (*.f64 x (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64))))
(/.f64 (-.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal 3 binary64))) (*.f64 x (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x))))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))
(fma.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))
(fma.f64 #s(literal 3 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))
(fma.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))
(fma.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x) (neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x))) (/.f64 (pow.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x))))
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(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (*.f64 x x) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 x x) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.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 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #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 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval112.0ms (1.9%)

Memory
6.4MiB live, 198.2MiB allocated
Compiler

Compiled 26 659 to 3 394 computations (87.3% saved)

prune58.0ms (1%)

Memory
-18.1MiB live, 64.8MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New9407947
Fresh448
Picked325
Done101
Total94813961
Accuracy
100.0%
Counts
961 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.8%
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
71.4%
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
25.2%
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
47.2%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
46.8%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
53.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
53.2%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
53.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
54.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))
46.9%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
53.4%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
53.2%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
46.9%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 516 to 317 computations (38.6% saved)

simplify187.0ms (3.2%)

Memory
-12.8MiB live, 151.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
cost-diff0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
cost-diff2
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))
cost-diff0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031193
044187
187185
2186185
3422185
41161167
53049167
64674167
77111167
08074167
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
#s(literal -3 binary64)
x
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
#s(literal 3 binary64)
x
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
#s(literal 3 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 3 binary64)
Outputs
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
#s(literal -3 binary64)
x
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
#s(literal 3 binary64)
x
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#s(literal 3 binary64)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
#s(literal 3 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 3 binary64)

localize111.0ms (1.9%)

Memory
23.6MiB live, 181.8MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy0.00390625
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy0.06640625
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
accuracy30.069366947410224
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
accuracy0.0
(fma.f64 x x #s(literal 1 binary64))
accuracy0.0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy0.05078125
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy34.006121090170005
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy0.31640625
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))
accuracy29.78690696919734
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
accuracy0.0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy34.064142106566436
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy0.0
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
accuracy0.0
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy18.292552966478457
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Samples
34.0ms68×2valid
26.0ms62×1valid
25.0ms126×0valid
Compiler

Compiled 164 to 31 computations (81.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-mult: 19.0ms (29.3% of total)
ival-add: 15.0ms (23.1% of total)
adjust: 13.0ms (20% of total)
ival-div: 12.0ms (18.5% of total)
ival-sub: 5.0ms (7.7% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
15 → 33
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
Outputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
-1
(- (* -3 x) 1)
(- (pow x 2) 1)
(/ -3 x)
(/ -1 x)
(+ 1 (pow x 2))
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -3 x) -1) (+ (* x x) -1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* 3 x) 1) (* 3 (/ -1 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -1 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3))
2.0ms
x
@inf
((/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -3 x) -1) (+ (* x x) -1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* 3 x) 1) (* 3 (/ -1 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -1 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3))
1.0ms
x
@-inf
((/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -3 x) -1) (+ (* x x) -1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* 3 x) 1) (* 3 (/ -1 x)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -1 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3))

simplify129.0ms (2.2%)

Memory
-1.8MiB live, 151.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
076245
1227231
2637223
32495215
45731215
08115193
Stop Event
iter limit
node limit
Counts
33 → 33
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
-1
(- (* -3 x) 1)
(- (pow x 2) 1)
(/ -3 x)
(/ -1 x)
(+ 1 (pow x 2))
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
-3
(* -1 (+ 3 (/ 1 x)))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -3 x) 1) x)
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* 3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(* (pow x 3) (+ 3 (/ 1 x)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) x x) x)
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) x)
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) x)
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))

rewrite284.0ms (4.8%)

Memory
-6.1MiB live, 229.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031171
044165
1238159
22431157
09561155
Stop Event
iter limit
node limit
iter limit
Counts
15 → 501
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal -1 binary64) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
Outputs
(*.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(*.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 9 binary64) (*.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) x))))
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 9 binary64) (*.f64 x x) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 9 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (*.f64 #s(literal 3 binary64) x))) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))) (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))))
(-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -3 binary64) x))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))
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(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)
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(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x)) (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 3 binary64) x)))) (-.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal -3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) x) (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 #s(literal 3 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
(neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x) (neg.f64 (/.f64 #s(literal 3 binary64) x)))
(fma.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 3 binary64) x)))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) (neg.f64 (/.f64 #s(literal 3 binary64) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x))) (/.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(-.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 3 binary64) x))))) (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 3 binary64) x))))))
(-.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 x x)) (/.f64 (*.f64 #s(literal 3 binary64) x) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 9 binary64) (*.f64 x (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 x (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)))) (/.f64 #s(literal 27 binary64) (*.f64 x (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) x) (/.f64 (/.f64 #s(literal 27 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 3 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) #s(literal -1 binary64)))
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (neg.f64 (/.f64 #s(literal 3 binary64) x)))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 27 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) (fma.f64 (/.f64 #s(literal 27 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) (/.f64 #s(literal 27 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) (*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) (/.f64 #s(literal 27 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)))))))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal -3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)))) (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) #s(literal -3 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))))) (/.f64 #s(literal 27 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 9 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))) (/.f64 #s(literal 27 binary64) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))

eval110.0ms (1.9%)

Memory
-10.9MiB live, 151.5MiB allocated
Compiler

Compiled 19 078 to 1 885 computations (90.1% saved)

prune16.0ms (0.3%)

Memory
-5.1MiB live, 41.6MiB allocated
Pruning

13 alts after pruning (6 fresh and 7 done)

PrunedKeptTotal
New5645569
Fresh516
Picked055
Done022
Total56913582
Accuracy
100.0%
Counts
582 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
71.4%
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
71.4%
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
24.5%
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
47.2%
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
46.8%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
53.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
53.2%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
53.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
53.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 3 binary64) x)))
46.9%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
53.2%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
46.9%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 452 to 284 computations (37.2% saved)

simplify169.0ms (2.9%)

Memory
29.2MiB live, 186.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
cost-diff4
(+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x))
cost-diff0
#s(approx (+ (* x x) -1) (*.f64 x x))
cost-diff0
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
cost-diff0
(*.f64 x #s(literal -1/3 binary64))
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
cost-diff2
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
cost-diff0
(+.f64 #s(literal 3 binary64) x)
cost-diff0
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
cost-diff0
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
cost-diff3
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038296
054279
1100272
2198272
3467196
41404196
54731196
67973196
08007190
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
#s(literal -3 binary64)
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
#s(literal -3 binary64)
x
#s(literal -1 binary64)
#s(approx (+ (* x x) -1) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
#s(literal -3 binary64)
x
#s(literal -1 binary64)
(+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 x x x)
(-.f64 #s(literal -1 binary64) x)
Outputs
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
#s(literal -3 binary64)
x
#s(literal -1 binary64)
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal -3 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
x
#s(literal -1/3 binary64)
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
#s(literal -3 binary64)
x
#s(literal -1 binary64)
#s(approx (+ (* x x) -1) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
#s(literal -3 binary64)
x
#s(literal -1 binary64)
(+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 x x x)
(-.f64 #s(literal -1 binary64) x)

localize164.0ms (2.8%)

Memory
7.5MiB live, 199.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 #s(literal -1 binary64) x)
accuracy0.0
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy0.01953125
(+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x))
accuracy18.292552966478457
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy18.292552966478457
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
accuracy29.502694338776784
#s(approx (+ (* x x) -1) (*.f64 x x))
accuracy0.24609375
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
accuracy0.2890625
(*.f64 x #s(literal -1/3 binary64))
accuracy29.78690696919734
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
accuracy0.0
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
accuracy0.0
(+.f64 #s(literal 3 binary64) x)
accuracy33.79244476301084
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
accuracy0.0
(-.f64 #s(literal -1 binary64) x)
accuracy0.0
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy0.01953125
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
accuracy0.12109375
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
Samples
62.0ms68×2valid
42.0ms62×1valid
37.0ms126×0valid
Compiler

Compiled 249 to 36 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 117.0ms
ival-div: 47.0ms (40% of total)
ival-mult: 23.0ms (19.6% of total)
ival-add: 20.0ms (17% of total)
adjust: 16.0ms (13.6% of total)
ival-sub: 7.0ms (6% of total)
const: 4.0ms (3.4% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.7MiB live, 7.7MiB allocated
Counts
16 → 34
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 x #s(literal -1/3 binary64))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
#s(approx (+ (* x x) -1) (*.f64 x x))
(+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal -1 binary64) x)
(*.f64 x x)
Outputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
-1
(- (* -4 x) 1)
(- (* x (- (* -4 x) 4)) 1)
(- (* x (- (* x (- (* -4 x) 4)) 4)) 1)
(- (* -3 x) 1)
3
(+ 3 x)
(/ -3 x)
(* -1/3 x)
(- (pow x 2) 1)
(- (* -1 x) 1)
(pow x 2)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(+ 3 (* 4 (/ 1 x)))
(+ 3 (+ (* 4 (/ 1 x)) (/ 4 (pow x 2))))
(+ 3 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(+ 3 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 4) x)))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((/ (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (- 1 x)) (- -1 x)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (- 1 x)) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -3 x) -1) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* (+ 3 x) x) 1) (+ 3 x) (/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* x x) -1) (+ (+ (* x x) x) (- -1 x)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (+ (* x x) x) (- -1 x))) (- -1 x) (* x x))
2.0ms
x
@-inf
((/ (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (- 1 x)) (- -1 x)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (- 1 x)) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -3 x) -1) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* (+ 3 x) x) 1) (+ 3 x) (/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* x x) -1) (+ (+ (* x x) x) (- -1 x)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (+ (* x x) x) (- -1 x))) (- -1 x) (* x x))
1.0ms
x
@0
((/ (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (- 1 x)) (- -1 x)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (- 1 x)) (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* -3 x) -1) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* (+ 3 x) x) 1) (+ 3 x) (/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (+ (* x x) -1) (+ (+ (* x x) x) (- -1 x)) (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (+ (* x x) x) (- -1 x))) (- -1 x) (* x x))

simplify176.0ms (3%)

Memory
-11.3MiB live, 149.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090238
1248230
2610221
31561211
44102211
57987211
08070196
Stop Event
iter limit
node limit
Counts
34 → 33
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
-1
(- (* -4 x) 1)
(- (* x (- (* -4 x) 4)) 1)
(- (* x (- (* x (- (* -4 x) 4)) 4)) 1)
(- (* -3 x) 1)
3
(+ 3 x)
(/ -3 x)
(* -1/3 x)
(- (pow x 2) 1)
(- (* -1 x) 1)
(pow x 2)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(+ 3 (* 4 (/ 1 x)))
(+ 3 (+ (* 4 (/ 1 x)) (/ 4 (pow x 2))))
(+ 3 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(+ 3 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 4) x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -4 x) 1)
(fma.f64 #s(literal -4 binary64) x #s(literal -1 binary64))
(- (* x (- (* -4 x) 4)) 1)
(fma.f64 (fma.f64 #s(literal -4 binary64) x #s(literal -4 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -4 x) 4)) 4)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) x #s(literal -4 binary64)) x #s(literal -4 binary64)) x #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(pow x 2)
(*.f64 x x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
(+ 3 (* 4 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4 binary64) x) #s(literal 3 binary64))
(+ 3 (+ (* 4 (/ 1 x)) (/ 4 (pow x 2))))
(-.f64 #s(literal 3 binary64) (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) x)) x))
(+ 3 (+ (* 4 (/ 1 x)) (+ (* 4 (/ 1 (pow x 3))) (/ 4 (pow x 2)))))
(-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) x)) x) #s(literal 4 binary64)) x))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 (+.f64 #s(literal 3 binary64) x) x)
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x))
(+ 3 (* -1 (/ (- (* -1 (/ (+ 4 (* 4 (/ 1 x))) x)) 4) x)))
(-.f64 #s(literal 3 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) x)) x) #s(literal 4 binary64)) x))

rewrite131.0ms (2.2%)

Memory
10.6MiB live, 204.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038222
054209
1292182
23432177
09641167
Stop Event
iter limit
node limit
iter limit
Counts
16 → 619
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 x #s(literal -1/3 binary64))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
#s(approx (+ (* x x) -1) (*.f64 x x))
(+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal -1 binary64) x)
(*.f64 x x)
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) 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 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))
(neg.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(neg.f64 (/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (pow.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))
(*.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (neg.f64 (-.f64 #s(literal -1 binary64) (neg.f64 x))))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (neg.f64 x)))
(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.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(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 x (fma.f64 x x x)) (-.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) (neg.f64 x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (neg.f64 x))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) (neg.f64 x))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 x (fma.f64 x x x)) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
(-.f64 x #s(literal 1 binary64))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 x))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval92.0ms (1.6%)

Memory
-0.2MiB live, 188.2MiB allocated
Compiler

Compiled 27 476 to 2 037 computations (92.6% saved)

prune24.0ms (0.4%)

Memory
-2.1MiB live, 85.6MiB allocated
Pruning

14 alts after pruning (2 fresh and 12 done)

PrunedKeptTotal
New7471748
Fresh011
Picked055
Done077
Total74714761
Accuracy
100.0%
Counts
761 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
71.4%
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
71.4%
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
24.5%
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
24.8%
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
47.2%
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
46.8%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
53.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
53.2%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
53.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
53.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 3 binary64) x)))
46.9%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
53.2%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
46.9%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 910 to 308 computations (66.2% saved)

regimes16.0ms (0.3%)

Memory
-7.5MiB live, 31.4MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) (/.f64 #s(literal 3 binary64) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (-.f64 (/.f64 #s(literal -3 binary64) x) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) x)))
Outputs
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
Calls

2 calls:

8.0ms
x
6.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes9.0ms (0.2%)

Memory
20.2MiB live, 20.2MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
100.0%3x
99.8%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes5.0ms (0.1%)

Memory
-31.4MiB live, 7.8MiB allocated
Counts
13 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Calls

1 calls:

4.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.3%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes7.0ms (0.1%)

Memory
12.8MiB live, 12.8MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.2%3x
98.2%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.1%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes4.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64)))
#s(approx (/ (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (+ (* x x) -1)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
47.2%1x
47.2%1(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes3.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated
Accuracy

Total -0.7b remaining (-2%)

Threshold costs -0.7b (-2%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Calls

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
46.9%1(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
46.9%1x
Compiler

Compiled 14 to 8 computations (42.9% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.809972172139851e-10
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
1.809972172139851e-10
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.49985281780260504
0.9999999108473916
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.49985281780260504
0.9999999108473916
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify100.0ms (1.7%)

Memory
-36.7MiB live, 55.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
051289
179286
2161286
3340286
4953286
53054268
65066268
76661268
87955268
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Outputs
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (- x 1) x) (* (+ 1 x) (+ (* -1 x) -1))) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

soundness1.0s (17.5%)

Memory
12.0MiB live, 561.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031171
044165
1238159
22431157
09561155
0145531
1398520
2994493
32789454
46542454
08101434
0728
01228
16728
270428
0809328
095272
1262263
2587251
31514235
43759233
56729233
08127222
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 396 to 125 computations (68.4% saved)

preprocess64.0ms (1.1%)

Memory
17.6MiB live, 102.7MiB allocated
Compiler

Compiled 610 to 120 computations (80.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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