Asymptote C

Time bar (total: 6.0s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze4.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB 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)

sample1.1s (19.1%)

Memory
5.3MiB live, 1 504.8MiB allocated
Samples
324.0ms1 579×2valid
258.0ms2 357×1valid
233.0ms4 320×0valid
Precisions
Click to see histograms. Total time spent on operations: 629.0ms
ival-div: 228.0ms (36.2% of total)
ival-add: 147.0ms (23.4% of total)
ival-sub: 133.0ms (21.1% of total)
adjust: 106.0ms (16.9% of total)
ival-true: 6.0ms (1% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain158.0ms (2.6%)

Memory
-2.9MiB live, 159.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1380-0-(-.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))))cancellation1380
Confusion
Predicted +Predicted -
+1380
-0118
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13800
-00118
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0118
1138
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
36.0ms132×2valid
34.0ms138×1valid
13.0ms242×0valid
Compiler

Compiled 116 to 32 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-div: 26.0ms (54.2% of total)
ival-sub: 9.0ms (18.8% of total)
adjust: 8.0ms (16.7% of total)
ival-add: 5.0ms (10.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess59.0ms (1%)

Memory
17.0MiB live, 56.0MiB 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)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
50.0%
(-.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)

simplify30.0ms (0.5%)

Memory
-24.7MiB live, 16.7MiB 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))

localize43.0ms (0.7%)

Memory
5.7MiB live, 44.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.00390625
(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy0.0078125
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy31.98461551206875
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Samples
21.0ms66×2valid
8.0ms69×1valid
6.0ms121×0valid
Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 16.0ms (60.6% of total)
adjust: 4.0ms (15.1% of total)
ival-sub: 4.0ms (15.1% of total)
ival-add: 3.0ms (11.4% 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
2.7MiB live, 2.7MiB 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)))
1.0ms
x
@0
((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1)))

simplify178.0ms (3%)

Memory
0.2MiB live, 117.7MiB 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))

rewrite231.0ms (3.9%)

Memory
-20.0MiB live, 193.8MiB 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))) (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)))

eval73.0ms (1.2%)

Memory
23.9MiB live, 60.3MiB allocated
Compiler

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

prune24.0ms (0.4%)

Memory
-15.3MiB live, 22.2MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New4057412
Fresh000
Picked011
Done000
Total4058413
Accuracy
100.0%
Counts
413 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
50.0%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
46.6%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
46.3%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
54.4%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
55.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
46.2%
#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))))
47.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 289 to 167 computations (42.2% saved)

simplify128.0ms (2.1%)

Memory
4.8MiB live, 47.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
020138
029138
150138
295138
3197138
4384138
5481138
6608138
7876138
81573138
92891138
103248138
113581138
123660138
133706138
143742138
153742138
03742138
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#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
#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))) (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))) (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 (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)
Outputs
#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
#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))) (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))) (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)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(fma.f64 (-.f64 x #s(literal -3 binary64)) x #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
(-.f64 x #s(literal -3 binary64))
#s(literal 3 binary64)
x
#s(literal 1 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 (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)

localize89.0ms (1.5%)

Memory
26.5MiB live, 138.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 x x #s(literal 1 binary64))
accuracy0.0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy0.0546875
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy34.43236397587992
#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
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
accuracy0.0
(+.f64 #s(literal 3 binary64) x)
accuracy34.163986038735004
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
accuracy0.0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy34.36938048475297
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy33.89840732030653
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy0.0
(/.f64 #s(literal -3 binary64) x)
accuracy28.809077995519207
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
Samples
30.0ms68×2valid
26.0ms121×0valid
17.0ms67×1valid
Compiler

Compiled 256 to 41 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-add: 14.0ms (28% of total)
ival-mult: 14.0ms (28% of total)
ival-div: 8.0ms (16% of total)
adjust: 8.0ms (16% of total)
ival-sub: 4.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series18.0ms (0.3%)

Memory
-35.3MiB live, 10.6MiB allocated
Counts
11 → 27
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#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)))
(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)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.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))))
(*.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))
Outputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
3
(+ 3 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 x)
(* x (+ 3 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 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))))
(* -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
15.0ms
x
@-inf
((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* 3 x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1))
1.0ms
x
@inf
((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* 3 x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1))
1.0ms
x
@0
((- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ -3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* 3 x) 1) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+ (* (+ 3 x) x) 1) (+ 3 x) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* (+ (* x x) 1) (+ (* 3 x) 1)) (+ (* x x) 1))

simplify111.0ms (1.8%)

Memory
43.3MiB live, 152.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068212
1214204
2610185
32404185
47442185
08232168
Stop Event
iter limit
node limit
Counts
27 → 26
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
3
(+ 3 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 x)
(* x (+ 3 (/ 1 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
x
(* x (+ 1 (* 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))))
(* -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)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(* -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) x) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)) x) #s(literal 3 binary64)) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* 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 (* 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)
(* 3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(* (pow x 3) (+ 3 (/ 1 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) 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))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (/.f64 (+.f64 #s(literal 3 binary64) x) x) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) x)) x) #s(literal 3 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)))

rewrite171.0ms (2.9%)

Memory
-40.4MiB live, 210.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
020122
029122
1143122
21316122
08642122
Stop Event
iter limit
node limit
iter limit
Counts
11 → 247
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#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)))
(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)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.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))))
(*.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))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))
(pow.f64 (*.f64 x #s(literal -1/3 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 3 binary64) (neg.f64 x))
(/.f64 #s(literal -3 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -3 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal -1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(neg.f64 (/.f64 #s(literal 3 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/3 binary64))) #s(literal -1 binary64)))
#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)))
(*.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 (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 (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 (-.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 (-.f64 (*.f64 (*.f64 #s(literal 9 binary64) (*.f64 x x)) (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) (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 9 binary64) (*.f64 x x) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64))))
(/.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 (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 #s(literal -1 binary64) (neg.f64 (/.f64 #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) (/.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 (*.f64 #s(literal 3 binary64) x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.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))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) x) x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) x) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3 binary64) x) x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))) (*.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (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 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 #s(literal 3 binary64) x) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal -1 binary64))))
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 #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(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))

eval34.0ms (0.6%)

Memory
16.4MiB live, 93.5MiB allocated
Compiler

Compiled 9 714 to 1 018 computations (89.5% saved)

prune9.0ms (0.1%)

Memory
-18.4MiB live, 27.9MiB allocated
Pruning

9 alts after pruning (3 fresh and 6 done)

PrunedKeptTotal
New2921293
Fresh022
Picked055
Done011
Total2929301
Accuracy
100.0%
Counts
301 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
50.0%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
46.6%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
46.3%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
54.4%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
54.7%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
55.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
46.2%
#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))))
47.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 170 to 99 computations (41.8% saved)

simplify183.0ms (3.1%)

Memory
40.2MiB live, 270.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff128
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff192
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff192
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff832
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
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
(*.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-diff320
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026145
041145
183135
2223126
3862124
43852116
08221109
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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)
#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)
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64)))
(neg.f64 x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (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)
(+.f64 #s(literal 1 binary64) x)
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
Outputs
#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)
#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)
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) x (-.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x x)
(neg.f64 x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.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)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))

localize94.0ms (1.6%)

Memory
-10.6MiB live, 150.5MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy0.015625
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
accuracy18.93570473771837
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
accuracy32.96115811069608
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy0.0
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy0.05859375
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
accuracy29.19575442596083
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
accuracy0.2265625
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
accuracy0.2890625
(*.f64 x #s(literal -1/3 binary64))
accuracy28.809077995519207
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
Samples
33.0ms79×2valid
24.0ms119×0valid
18.0ms58×1valid
Compiler

Compiled 284 to 53 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 14.0ms (24.7% of total)
ival-sub: 10.0ms (17.7% of total)
adjust: 10.0ms (17.7% of total)
ival-mult: 10.0ms (17.7% of total)
ival-add: 6.0ms (10.6% of total)
const: 5.0ms (8.8% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
-25.2MiB live, 13.2MiB allocated
Counts
12 → 30
Calls
Call 1
Inputs
(/.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))
#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)
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (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))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
Outputs
(/ -3 x)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(* -1/3 x)
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -1 x)
(/ (- (* -3 x) 1) x)
-1
(- (* -1 x) 1)
(+ 1 (* -1 (pow x 2)))
(- (* -2 x) 1)
(- (* x (- (* -1 x) 2)) 1)
(* -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)))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (+ (* -1 x) -1) (* (+ (* -1 x) -1) (- x 1)) (/ (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (+ (* -1 x) -1) (- x 1))) (* (+ (* -1 x) -1) (+ 1 x)))
3.0ms
x
@inf
((/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (+ (* -1 x) -1) (* (+ (* -1 x) -1) (- x 1)) (/ (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (+ (* -1 x) -1) (- x 1))) (* (+ (* -1 x) -1) (+ 1 x)))
2.0ms
x
@0
((/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ (- (/ -1 x) 3) x) (- (/ -1 x) 3) (/ -1 x) (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (+ (* -1 x) -1) (* (+ (* -1 x) -1) (- x 1)) (/ (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (* (+ (* -1 x) -1) (- x 1))) (* (+ (* -1 x) -1) (+ 1 x)))

simplify299.0ms (5%)

Memory
2.3MiB live, 241.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077199
1210183
2499170
31417170
43837170
57520170
08118160
Stop Event
iter limit
node limit
Counts
30 → 30
Calls
Call 1
Inputs
(/ -3 x)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(* -1/3 x)
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -1 x)
(/ (- (* -3 x) 1) x)
-1
(- (* -1 x) 1)
(+ 1 (* -1 (pow x 2)))
(- (* -2 x) 1)
(- (* x (- (* -1 x) 2)) 1)
(* -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)))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
Outputs
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
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)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(/ -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)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -3 x) 1) x)
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) 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 (/ (+ 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 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) 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
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(-.f64 #s(literal -3 binary64) (/.f64 #s(literal 1 binary64) x))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(* -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 #s(literal -2 binary64) x) x #s(literal -1 binary64))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) x) #s(literal 3 binary64)) 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)))

rewrite153.0ms (2.6%)

Memory
8.7MiB live, 203.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026122
041122
1201101
2216696
0952494
Stop Event
iter limit
node limit
iter limit
Counts
12 → 1 068
Calls
Call 1
Inputs
(/.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))
#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)
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (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))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -3 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -3 binary64))
(*.f64 (/.f64 #s(literal -3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) x))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) x))) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal -1/3 binary64) x)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -1/3 binary64))
(/.f64 #s(literal -3 binary64) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/3 binary64))
(/.f64 #s(literal 3 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x))))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 1/3 binary64) x)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))
(neg.f64 (/.f64 #s(literal 3 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) x)) #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(*.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/3 binary64) x)
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/3 binary64) x))
(pow.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -3 binary64) x)))
(/.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #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 #s(literal 0 binary64) (/.f64 (*.f64 #s(literal -1/3 binary64) x) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/3 binary64) 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 (pow.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64))) #s(literal -1 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)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal -1 binary64))) (pow.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (pow.f64 x #s(literal -1 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)))
(*.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64))
(*.f64 (-.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) (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 #s(literal -27 binary64) (pow.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal 1 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 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) x)))
(*.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))))
(*.f64 (pow.f64 x #s(literal -1 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 #s(literal 1 binary64) (*.f64 x (+.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))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(pow.f64 (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) #s(literal -1 binary64))
(/.f64 (+.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 (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 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (pow.f64 x #s(literal -1 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 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (-.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)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 3 binary64) x))))
(/.f64 (neg.f64 (-.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))))) (neg.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 (neg.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) x)))
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 x x)))
(/.f64 (-.f64 (neg.f64 (/.f64 #s(literal -1 binary64) x)) #s(literal -3 binary64)) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) (pow.f64 x #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) #s(literal 1 binary64)) x)
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -3 binary64) x)) #s(literal -1 binary64))
(/.f64 (-.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))) (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 #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 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))) x)
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64))) (neg.f64 (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64))) (neg.f64 (*.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)) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (/.f64 #s(literal -3 binary64) x)) x))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 x #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (*.f64 x (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) #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 (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x) #s(literal 1 binary64))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 9 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.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)) #s(literal 27 binary64)) (pow.f64 x #s(literal -1 binary64)))))
(/.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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(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x))) (fma.f64 x x x))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x))
(fma.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 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.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 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.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)) (fma.f64 x x x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)))) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64)))) (fma.f64 x x x))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) (fma.f64 x x x))
(fma.f64 (fma.f64 x x x) #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x (-.f64 #s(literal -1 binary64) x))
(fma.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64) (fma.f64 x x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x))
(fma.f64 x (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))
(fma.f64 x (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x))
(expm1.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)) (-.f64 #s(literal -1 binary64) x))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 #s(literal -1 binary64) x))
(+.f64 (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x))
(+.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(+.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) (+.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x))
(+.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) x))

eval220.0ms (3.7%)

Memory
20.9MiB live, 286.8MiB allocated
Compiler

Compiled 39 256 to 3 801 computations (90.3% saved)

prune28.0ms (0.5%)

Memory
-0.3MiB live, 77.1MiB allocated
Pruning

12 alts after pruning (5 fresh and 7 done)

PrunedKeptTotal
New1 20651 211
Fresh000
Picked123
Done156
Total1 208121 220
Accuracy
100.0%
Counts
1 220 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
70.4%
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
46.6%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
46.3%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
54.7%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
54.4%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
54.2%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
54.8%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
54.7%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
55.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
46.2%
#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))))
47.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 361 to 224 computations (38% saved)

simplify273.0ms (4.6%)

Memory
10.6MiB live, 259.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
cost-diff192
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))
cost-diff192
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff832
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
cost-diff0
(/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
cost-diff704
(/.f64 (/.f64 #s(literal -1 binary64) 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 -3 binary64))))
cost-diff320
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
cost-diff384
(/.f64 x #s(literal -3 binary64))
cost-diff0
#s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
cost-diff192
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff192
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042260
062251
1110243
2259228
3910226
43977202
57746202
08148191
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) 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 (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (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 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
#s(literal -1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
#s(literal 1 binary64)
(/.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1/3 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.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))))
#s(literal 1 binary64)
(/.f64 x (-.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)
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64)))
(neg.f64 x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (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)
(+.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(-.f64 #s(literal -1 binary64) x)
Outputs
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 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 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
#s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (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 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) 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)
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -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 -3 binary64)))
(/.f64 #s(literal -3 binary64) x)
#s(literal 1 binary64)
(/.f64 x #s(literal -3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
x
#s(literal -3 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))
(/.f64 #s(literal -3 binary64) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1/3 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #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 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
#s(literal 1 binary64)
(/.f64 x (-.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)
#s(literal 3 binary64)
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x #s(literal -2 binary64) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 2 binary64) x (-.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x x)
(neg.f64 x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.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)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) x)

localize282.0ms (4.7%)

Memory
-19.2MiB live, 214.8MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))
accuracy0.015625
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
accuracy18.93570473771837
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
accuracy32.96115811069608
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
accuracy0.0
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy0.07421875
(/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
accuracy0.19921875
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
accuracy29.19575442596083
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy0.37890625
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))
accuracy28.809077995519207
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
accuracy0.0
(/.f64 x #s(literal -3 binary64))
accuracy0.2265625
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
accuracy28.809077995519207
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.0
#s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy0.01171875
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy18.93570473771837
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
Samples
53.0ms79×2valid
38.0ms58×1valid
27.0ms119×0valid
Compiler

Compiled 502 to 78 computations (84.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-div: 35.0ms (41.7% of total)
ival-mult: 15.0ms (17.9% of total)
adjust: 12.0ms (14.3% of total)
ival-sub: 9.0ms (10.7% of total)
ival-add: 7.0ms (8.3% of total)
const: 4.0ms (4.8% of total)
exact: 1.0ms (1.2% of total)
ival-neg: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
19 → 43
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) 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 (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(/.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
(/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
Outputs
1
(+ 1 (* -1 (pow x 2)))
-1
(- (* -1 x) 1)
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(* -1/3 x)
(/ -3 x)
(/ -1 x)
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 3 x) 1))
(* (pow x 2) (- (* x (+ 3 (* -9 x))) 1))
(* (pow x 2) (- (* x (+ 3 (* x (- (* 27 x) 9)))) 1))
(/ (- (* -3 x) 1) x)
(- x 1)
(- (* -2 x) 1)
(- (* x (- (* -1 x) 2)) 1)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 x)
(* -1 (* x (+ 1 (/ 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)
(* x (+ 3 (/ 1 x)))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (* 1/9 (/ 1 x)) (+ 1/3 (/ 1/27 (pow x 2)))))
(* x (- (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (pow x 3)))) (+ 1/3 (/ 1/27 (pow x 2)))))
-3
(* -1 (+ 3 (/ 1 x)))
x
(* x (- 1 (/ 1 x)))
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)))))
(* -1 (* x (- (/ 1 x) 1)))
Calls

3 calls:

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

simplify132.0ms (2.2%)

Memory
-33.7MiB live, 148.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137332
1393307
21024291
32907277
47220277
08227258
Stop Event
iter limit
node limit
Counts
43 → 42
Calls
Call 1
Inputs
1
(+ 1 (* -1 (pow x 2)))
-1
(- (* -1 x) 1)
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(* -1/3 x)
(/ -3 x)
(/ -1 x)
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(* -1 (pow x 2))
(* (pow x 2) (- (* 3 x) 1))
(* (pow x 2) (- (* x (+ 3 (* -9 x))) 1))
(* (pow x 2) (- (* x (+ 3 (* x (- (* 27 x) 9)))) 1))
(/ (- (* -3 x) 1) x)
(- x 1)
(- (* -2 x) 1)
(- (* x (- (* -1 x) 2)) 1)
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(* -1 x)
(* -1 (* x (+ 1 (/ 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)
(* x (+ 3 (/ 1 x)))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(* x (- (* 1/9 (/ 1 x)) (+ 1/3 (/ 1/27 (pow x 2)))))
(* x (- (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (pow x 3)))) (+ 1/3 (/ 1/27 (pow x 2)))))
-3
(* -1 (+ 3 (/ 1 x)))
x
(* x (- 1 (/ 1 x)))
(* -1 (* (pow x 2) (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (+ 2 (/ 1 x)) x)) 1))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)))))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)))))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(+ 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)))
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 3 x) 1))
(*.f64 (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* x (+ 3 (* -9 x))) 1))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x) x)
(* (pow x 2) (- (* x (+ 3 (* x (- (* 27 x) 9)))) 1))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27 binary64) x #s(literal -9 binary64)) x #s(literal 3 binary64)) x #s(literal -1 binary64)) x) x)
(/ (- (* -3 x) 1) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(- x 1)
(-.f64 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))
(* (pow x 2) (- (/ 1 (pow x 2)) 1))
(fma.f64 (neg.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)) 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) #s(literal -3 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.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))
(* x (- (* 1/9 (/ 1 x)) 1/3))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* x (- (* 1/9 (/ 1 x)) (+ 1/3 (/ 1/27 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)))
(* x (- (+ (* 1/9 (/ 1 x)) (* 1/81 (/ 1 (pow x 3)))) (+ 1/3 (/ 1/27 (pow x 2)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) x)))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* -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 (/ (+ 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) #s(literal -3 binary64)) x) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(* -1 (* x (- 1/3 (* 1/9 (/ 1 x)))))
(fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))
(* -1 (* x (+ 1/3 (* -1 (/ (- 1/9 (* 1/27 (/ 1 x))) x)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 (/.f64 #s(literal -1/27 binary64) x) #s(literal -1/9 binary64)))
(* -1 (* x (+ 1/3 (* -1 (/ (+ 1/9 (* -1 (/ (- 1/27 (* 1/81 (/ 1 x))) x))) x)))))
(fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (/.f64 (-.f64 #s(literal 1/27 binary64) (/.f64 #s(literal 1/81 binary64) x)) x)))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite189.0ms (3.2%)

Memory
20.0MiB live, 219.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042215
062207
1276179
22697169
09587165
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 124
Calls
Call 1
Inputs
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) 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 (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(/.f64 x #s(literal -3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
(/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(-.f64 x #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
Outputs
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.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 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.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) (-.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 x (-.f64 #s(literal 1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.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 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #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)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.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 (-.f64 x #s(literal 1 binary64)) (-.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 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 x #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)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.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)))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 x #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)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 (-.f64 x #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)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.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 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.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 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #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 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (fma.f64 (-.f64 x #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) (*.f64 x x)) #s(literal 2 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.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 (-.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 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
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(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
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(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) x (-.f64 x #s(literal 1 binary64)))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal -1 binary64))
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(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (fma.f64 x x x))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))
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(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
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(fma.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 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(fma.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)) (fma.f64 x x x))
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(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (fma.f64 x x x) #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64) (fma.f64 x x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 x) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
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(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x))
(expm1.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x)) (-.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x)))
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(+.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))

eval145.0ms (2.4%)

Memory
-2.9MiB live, 185.6MiB allocated
Compiler

Compiled 32 671 to 3 217 computations (90.2% saved)

prune20.0ms (0.3%)

Memory
22.0MiB live, 60.1MiB allocated
Pruning

10 alts after pruning (2 fresh and 8 done)

PrunedKeptTotal
New9842986
Fresh000
Picked415
Done077
Total98810998
Accuracy
100.0%
Counts
998 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.4%
(/.f64 (neg.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
46.6%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
46.3%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
54.7%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
54.4%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
54.7%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
61.1%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
55.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
46.2%
#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))))
47.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 546 to 207 computations (62.1% saved)

regimes12.0ms (0.2%)

Memory
-6.3MiB live, 31.3MiB 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))) (/.f64 #s(literal -3 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))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 (neg.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 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 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) (*.f64 (fma.f64 #s(literal -1 binary64) 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 (neg.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

6.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
5.0ms
x
Results
AccuracySegmentsBranch
100.0%3x
100.0%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 (0.1%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
10 → 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))) (/.f64 #s(literal -3 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))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #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:

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
99.4%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)

regimes3.0ms (0%)

Memory
6.6MiB live, 6.6MiB allocated
Counts
9 → 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))) (/.f64 #s(literal -3 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))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(literal -3 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/3 binary64)))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))))
#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
99.1%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)

regimes2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
6 → 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))) (/.f64 #s(literal -3 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))))
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
99.0%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)

regimes10.0ms (0.2%)

Memory
-46.0MiB live, 8.2MiB allocated
Accuracy

Total -0.8b remaining (-2.3%)

Threshold costs -0.8b (-2.3%)

Counts
3 → 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)))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Calls

2 calls:

9.0ms
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
47.0%1x
47.0%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)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.876667096340384e-10
0.9605233699099862
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.876667096340384e-10
0.9605233699099862
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
7.876667096340384e-10
0.9605233699099862
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
7.876667096340384e-10
0.9605233699099862
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify69.0ms (1.2%)

Memory
11.8MiB live, 49.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
052252
193251
2210250
3577250
41892250
54641244
67061244
Stop Event
node limit
Calls
Call 1
Inputs
(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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 (neg.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #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))))
(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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) 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 4835703278458517/4835703278458516698824704 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))) #s(literal 1 binary64))
Outputs
(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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 (neg.f64 #s(approx (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (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 4835703278458517/4835703278458516698824704 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 (- (* (neg x) (- x 1)) (* (+ (* -1 x) -1) (+ 1 x))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))) (neg.f64 (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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #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))))
(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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))))) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) 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 4835703278458517/4835703278458516698824704 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (pow.f64 #s(approx (/ x (- (/ -1 x) 3)) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64))) #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))))
(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 4835703278458517/4835703278458516698824704 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))) #s(literal 1 binary64))

soundness1.3s (21.7%)

Memory
0.5MiB live, 758.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137332
1393307
21024291
32907277
47220277
08227258
077199
1210183
2499170
31417170
43837170
57520170
08118160
095272
1262263
2587251
31514235
43759233
56729233
08127222
026122
041122
1201101
2216696
0952494
042215
062207
1276179
22697169
09587165
0728
01228
16728
270428
0809328
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 373 to 143 computations (61.7% saved)

preprocess34.0ms (0.6%)

Memory
7.6MiB live, 78.9MiB allocated
Compiler

Compiled 532 to 124 computations (76.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...