Asymptote C

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze3.0ms (0%)

Memory
4.9MiB live, 4.9MiB 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)

sample1.4s (24.1%)

Memory
32.1MiB live, 1 176.8MiB allocated
Samples
364.0ms1 528×2valid
321.0ms2 482×1valid
291.0ms4 246×0valid
Precisions
Click to see histograms. Total time spent on operations: 730.0ms
ival-div: 282.0ms (38.6% of total)
ival-sub: 202.0ms (27.7% of total)
adjust: 121.0ms (16.6% of total)
ival-add: 111.0ms (15.2% of total)
ival-true: 7.0ms (1% of total)
exact: 5.0ms (0.7% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain114.0ms (2%)

Memory
3.6MiB live, 201.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1240-0-(-.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))))cancellation1240
Confusion
Predicted +Predicted -
+1240
-0132
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+12400
-00132
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0132
1124
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
21.0ms156×1valid
16.0ms86×2valid
15.0ms270×0valid
Compiler

Compiled 116 to 32 computations (72.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-div: 13.0ms (37.8% of total)
adjust: 8.0ms (23.3% of total)
ival-sub: 8.0ms (23.3% of total)
ival-add: 4.0ms (11.6% of total)
ival-true: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess62.0ms (1.1%)

Memory
-9.5MiB live, 40.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
12331
26227
317826
441426
585326
6118126
7134026
8141826
9142826
0713
01213
12013
22813
34413
47713
511513
620313
737113
887613
9113713
10122113
11123113
0123113
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
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.1%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 13 to 7 computations (46.2% saved)

simplify29.0ms (0.5%)

Memory
-18.5MiB live, 20.9MiB 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
737133
887633
9113733
10122133
11123133
0123133
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))

localize33.0ms (0.6%)

Memory
22.0MiB live, 61.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.01171875
(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy0.01953125
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy28.69112503326435
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Samples
10.0ms78×1valid
9.0ms43×2valid
7.0ms135×0valid
Compiler

Compiled 68 to 16 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 6.0ms (37.8% of total)
ival-sub: 4.0ms (25.2% of total)
adjust: 3.0ms (18.9% of total)
ival-add: 3.0ms (18.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
4 → 29
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
Outputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(+ 1 x)
-1
(- (* -2 x) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* x (+ 1 (/ 1 x)))
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
Calls

3 calls:

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

simplify121.0ms (2.2%)

Memory
-34.8MiB live, 161.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095272
1262263
2585251
31504235
43731233
56694233
08053222
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))

rewrite163.0ms (2.9%)

Memory
27.1MiB live, 266.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
01228
16728
270428
0808528
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)))

eval63.0ms (1.1%)

Memory
3.2MiB live, 123.9MiB allocated
Compiler

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

prune16.0ms (0.3%)

Memory
0.0MiB live, 38.9MiB allocated
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New39814412
Fresh000
Picked011
Done000
Total39815413
Accuracy
100.0%
Counts
413 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.7%
(fma.f64 (/.f64 #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 x (+.f64 #s(literal 1 binary64) x)))
53.9%
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
55.2%
(/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
55.7%
(/.f64 (-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
55.1%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
5.4%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
51.6%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
54.3%
(-.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
51.6%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
51.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
49.1%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
49.9%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
49.7%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
51.0%
#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))))
51.6%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 589 to 331 computations (43.8% saved)

simplify161.0ms (2.9%)

Memory
-22.1MiB live, 210.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff192
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
cost-diff896
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
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 #s(literal -3 binary64) x)
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
cost-diff0
(*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
cost-diff512
(-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
cost-diff704
(/.f64 (-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
cost-diff1408
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029203
048196
194194
2206184
3615176
42619150
08279143
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
x
(/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 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))) (/.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))) (/.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 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
#s(literal -1 binary64)
x
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
Outputs
(/.f64 (-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
x
(/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(-.f64 x #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
#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 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 x #s(literal -3 binary64) #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)
x
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))

localize105.0ms (1.9%)

Memory
13.4MiB live, 178.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0.01171875
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy13.352489118238056
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
accuracy28.954807073047498
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy0.046875
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
accuracy32.375397554710425
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
accuracy0
(/.f64 #s(literal -3 binary64) x)
accuracy31.965792627256775
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
accuracy30.79141006822673
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy0.015625
(/.f64 (-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
accuracy0.015625
(*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
accuracy0.01953125
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
accuracy28.68042379188184
(-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
Samples
31.0ms62×2valid
29.0ms132×0valid
23.0ms61×1valid
1.0ms5exit
Compiler

Compiled 401 to 60 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-div: 22.0ms (35.3% of total)
ival-mult: 14.0ms (22.4% of total)
adjust: 10.0ms (16% of total)
ival-add: 9.0ms (14.4% of total)
ival-sub: 7.0ms (11.2% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
16 → 49
Calls
Call 1
Inputs
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#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)
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
Outputs
-1
(- x 1)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(- (* -2 x) 1)
(- (* x (- (* 2 x) 2)) 1)
(- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)
(* -1 x)
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
(/ -3 x)
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -1 x)
(/ (- (* -3 x) 1) x)
(- (* -3 x) 1)
(- (* -1 x) 1)
(+ 1 x)
(* x (- x 1))
x
(* 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
(- (* 2 (/ 1 x)) 3)
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))
(* x (- 1 (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
(* -1 (+ 3 (/ 1 x)))
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
Calls

3 calls:

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

simplify138.0ms (2.5%)

Memory
2.9MiB live, 159.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119382
1335360
2842338
32356314
46474314
08187296
Stop Event
iter limit
node limit
Counts
49 → 48
Calls
Call 1
Inputs
-1
(- x 1)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(- (* -2 x) 1)
(- (* x (- (* 2 x) 2)) 1)
(- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)
(* -1 x)
(* x (- (* 2 x) 1))
(* x (- (* x (+ 2 (* -2 x))) 1))
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
(/ -3 x)
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -1 x)
(/ (- (* -3 x) 1) x)
(- (* -3 x) 1)
(- (* -1 x) 1)
(+ 1 x)
(* x (- x 1))
x
(* 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
(- (* 2 (/ 1 x)) 3)
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))
(* x (- 1 (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
(* -1 (+ 3 (/ 1 x)))
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 1 (/ 1 x))))
(* x (+ 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
Outputs
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
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)))
(- (* -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 (* -2 x))) 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))
(* -1 x)
(neg.f64 x)
(* x (- (* 2 x) 1))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 2 (* -2 x))) 1))
(*.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x #s(literal -1 binary64)) x)
(* x (- (* x (+ 2 (* x (- (* 2 x) 2)))) 1))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64)) x #s(literal -1 binary64)) x)
(/ -3 x)
(/.f64 #s(literal -3 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 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -3 x) 1) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(- (* -3 x) 1)
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (-.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
#s(literal -3 binary64)
(- (* 2 (/ 1 x)) 3)
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 3 binary64))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x))
(* x (- 1 (* 2 (/ 1 x))))
(-.f64 x #s(literal 2 binary64))
(* x (- (+ 1 (/ 2 (pow x 2))) (* 2 (/ 1 x))))
(-.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))
(* x (- (+ 1 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))))
(+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x)
(* -1 (+ 3 (/ 1 x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (-.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 (/ (- (* 2 (/ 1 x)) 2) x)) 3)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 3 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x))
(* -1 (* x (- (* 2 (/ 1 x)) 1)))
(-.f64 x #s(literal 2 binary64))
(* -1 (* x (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 1)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))
(* -1 (* x (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 1)))
(+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) x) #s(literal 2 binary64)) x)

rewrite191.0ms (3.4%)

Memory
-3.7MiB live, 276.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029172
048170
1253144
22650144
08331140
Stop Event
iter limit
node limit
iter limit
Counts
16 → 928
Calls
Call 1
Inputs
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x))
(*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#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)
(fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
Outputs
(*.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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.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 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.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 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64)) (pow.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (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 (-.f64 #s(literal 1 binary64) x) (-.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 (-.f64 #s(literal 1 binary64) x) (-.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 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.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 (-.f64 #s(literal 1 binary64) x) (-.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) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) 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) 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 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x 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 (*.f64 (+.f64 x #s(literal 1 binary64)) (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 (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (-.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) x))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.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 (*.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) 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 (*.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 (-.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)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x 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 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.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 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 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 #s(literal 1 binary64) x) (+.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 #s(literal -1 binary64) 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)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (*.f64 #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 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 (-.f64 #s(literal 1 binary64) 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 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.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 (-.f64 #s(literal 1 binary64) x) (-.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)))
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(*.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 x (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 x (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 x (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) x) (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) x) (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) x) (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) x) (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) x)) (*.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.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 (fma.f64 x x x) (+.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 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (neg.f64 (fma.f64 x x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x 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 (fma.f64 x 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 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #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)) x)) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #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)) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (+.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 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (+.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 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)) (fma.f64 x x x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 x x x) (+.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 (*.f64 (fma.f64 x x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) (neg.f64 x))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) x)
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (neg.f64 x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) x)
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 x))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)) x)
(fma.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) x (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) x))
(fma.f64 x (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))))
(fma.f64 x x (neg.f64 x))
(fma.f64 x x x)
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (*.f64 x (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (*.f64 x x) (fma.f64 x x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64))))))
(-.f64 (*.f64 x x) x)
(+.f64 (*.f64 x (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))) (*.f64 x (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) x) (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) x))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) x)

eval118.0ms (2.1%)

Memory
-21.5MiB live, 251.4MiB allocated
Compiler

Compiled 28 868 to 2 937 computations (89.8% saved)

prune19.0ms (0.3%)

Memory
22.7MiB live, 62.3MiB allocated
Pruning

14 alts after pruning (10 fresh and 4 done)

PrunedKeptTotal
New9329941
Fresh819
Picked235
Done011
Total94214956
Accuracy
100.0%
Counts
956 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
55.2%
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) x (-.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
79.1%
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
29.2%
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
55.1%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
51.6%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
51.6%
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
51.0%
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
51.0%
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
49.1%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
48.9%
#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)))))
49.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
49.7%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
49.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
51.6%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 558 to 311 computations (44.3% saved)

simplify216.0ms (3.9%)

Memory
-27.8MiB live, 265.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(*.f64 #s(literal -3 binary64) x)
cost-diff0
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
cost-diff0
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
cost-diff0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
cost-diff0
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
036231
048217
1104213
2250203
3734195
42867147
08230147
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- 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)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 3 binary64)
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.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)
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- 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)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 #s(literal -3 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
(/.f64 #s(literal -3 binary64) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 3 binary64)
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
#s(literal 3 binary64)
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)

localize123.0ms (2.2%)

Memory
6.6MiB live, 160.4MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x x #s(literal -1 binary64))
accuracy0
(*.f64 #s(literal -3 binary64) x)
accuracy13.352489118238056
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
accuracy32.02348079956065
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
accuracy0
(fma.f64 x x #s(literal 1 binary64))
accuracy0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy0.09765625
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy31.368156191945417
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.29296875
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
accuracy32.169551524068524
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
accuracy0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy31.391434983105885
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy0
(fma.f64 x x #s(literal -1 binary64))
accuracy0
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
accuracy0
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy13.352489118238056
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Samples
37.0ms62×2valid
33.0ms132×0valid
26.0ms62×1valid
Compiler

Compiled 435 to 72 computations (83.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-div: 20.0ms (26.5% of total)
ival-mult: 20.0ms (26.5% of total)
adjust: 16.0ms (21.2% of total)
ival-add: 14.0ms (18.5% of total)
ival-sub: 5.0ms (6.6% of total)
exact: 1.0ms (1.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
15 → 28
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- 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))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) x)
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.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))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
Outputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
-1
(- (* -3 x) 1)
(- (pow x 2) 1)
(/ -3 x)
(/ -1 x)
(+ 1 (pow x 2))
(* -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 (* x (+ 3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
Calls

3 calls:

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

simplify112.0ms (2%)

Memory
6.3MiB live, 125.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072215
1213211
2614200
32321192
47347192
08268172
Stop Event
iter limit
node limit
Counts
28 → 28
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
-1
(- (* -3 x) 1)
(- (pow x 2) 1)
(/ -3 x)
(/ -1 x)
(+ 1 (pow x 2))
(* -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 (* x (+ 3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(* -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) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x) #s(literal 3 binary64)) x)
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* 3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))
(* (pow x 3) (+ 3 (/ 1 x)))
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) x) x x) x)
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3 binary64) x) x)
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* -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) (/.f64 (-.f64 #s(literal 3 binary64) (/.f64 #s(literal -1 binary64) x)) 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)))

rewrite158.0ms (2.8%)

Memory
-0.8MiB live, 239.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036208
048194
1268164
22882164
08567160
Stop Event
iter limit
node limit
iter limit
Counts
15 → 315
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- 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))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) x)
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.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))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
Outputs
(*.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64)))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
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#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
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eval47.0ms (0.8%)

Memory
5.3MiB live, 85.0MiB allocated
Compiler

Compiled 16 282 to 1 227 computations (92.5% saved)

prune13.0ms (0.2%)

Memory
-7.3MiB live, 31.5MiB allocated
Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New4313434
Fresh145
Picked145
Done134
Total43414448
Accuracy
100.0%
Counts
448 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
79.1%
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
28.2%
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
28.8%
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
51.6%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
51.6%
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
51.0%
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
51.0%
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
49.1%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
48.9%
#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)))))
49.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
49.7%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
49.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
51.6%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 514 to 304 computations (40.9% saved)

simplify199.0ms (3.6%)

Memory
-0.3MiB live, 275.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (+ (* x x) -1) (*.f64 x x))
cost-diff0
(*.f64 #s(literal -3 binary64) x)
cost-diff0
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
cost-diff0
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
cost-diff0
#s(approx (/ (+ x 1) (- x 1)) #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))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
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)))
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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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 (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
cost-diff704
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045260
061253
1115242
2240234
3689232
42773181
08422176
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
#s(literal 1 binary64)
(*.f64 x #s(literal -1/3 binary64))
x
#s(literal -1/3 binary64)
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
#s(approx (+ (* x x) -1) (*.f64 x x))
(*.f64 x x)
Outputs
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
(/.f64 #s(literal -3 binary64) x)
#s(literal 1 binary64)
(*.f64 x #s(literal -1/3 binary64))
(*.f64 #s(literal -1/3 binary64) x)
x
#s(literal -1/3 binary64)
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
#s(approx (+ (* x x) -1) (*.f64 x x))
(*.f64 x x)

localize174.0ms (3.1%)

Memory
16.2MiB live, 254.6MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 #s(literal -3 binary64) x)
accuracy13.352489118238056
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
accuracy31.960079140291956
#s(approx (+ (* x x) -1) (*.f64 x x))
accuracy32.02348079956065
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.01171875
(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy28.69112503326435
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
accuracy31.872881727847425
#s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64))
accuracy0.21875
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
accuracy0.3515625
(*.f64 x #s(literal -1/3 binary64))
accuracy32.169551524068524
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
accuracy0
(+.f64 #s(literal 3 binary64) x)
accuracy0.00390625
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
accuracy31.000255908980456
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
accuracy0
(+.f64 #s(literal 1 binary64) x)
accuracy0
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))
accuracy0.01953125
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
accuracy0.07421875
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
Samples
80.0ms61×2valid
31.0ms63×1valid
31.0ms132×0valid
Compiler

Compiled 476 to 83 computations (82.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 119.0ms
ival-mult: 61.0ms (51.1% of total)
ival-div: 21.0ms (17.6% of total)
ival-add: 14.0ms (11.7% of total)
adjust: 14.0ms (11.7% of total)
ival-sub: 5.0ms (4.2% of total)
const: 4.0ms (3.4% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
19 → 49
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 x #s(literal -1/3 binary64))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(approx (+ (* x x) -1) (*.f64 x x))
(+.f64 #s(literal 1 binary64) x)
Outputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
-1
(- (* -2 x) 1)
(- (* x (- (* 2 x) 2)) 1)
(- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)
(- (* -3 x) 1)
3
(+ 3 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)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(* -3 x)
(- (pow 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
(- (* 2 (/ 1 x)) 3)
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))
(* -1 (* 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 (+ 1 (* 3 (/ 1 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)))))
(* (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 (/ (- (* 2 (/ 1 x)) 2) x)) 3)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)
(+ 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
2.0ms
x
@-inf
((/ (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (- x 1)) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* -3 x) -1) (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (+ (* (+ 3 x) x) 1) (+ 3 x) (/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1)) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (* -3 x) (+ (* x x) -1) (+ 1 x))
2.0ms
x
@inf
((/ (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (- x 1)) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* -3 x) -1) (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (+ (* (+ 3 x) x) 1) (+ 3 x) (/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1)) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (* -3 x) (+ (* x x) -1) (+ 1 x))
1.0ms
x
@0
((/ (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (- x 1)) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* -3 x) -1) (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (+ (* (+ 3 x) x) 1) (+ 3 x) (/ 1 (* x -1/3)) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (* x -1/3) (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/ x (+ x 1)) (+ x 1) (/ (+ x 1) (- x 1)) (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ (* x x) -1)) (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (* -3 x) (+ (* x x) -1) (+ 1 x))

simplify133.0ms (2.4%)

Memory
-15.6MiB live, 138.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0131408
1375395
2870369
32272355
45599355
08174333
Stop Event
iter limit
node limit
Counts
49 → 48
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
-1
(- (* -2 x) 1)
(- (* x (- (* 2 x) 2)) 1)
(- (* x (- (* x (+ 2 (* -2 x))) 2)) 1)
(- (* -3 x) 1)
3
(+ 3 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)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(* -3 x)
(- (pow 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
(- (* 2 (/ 1 x)) 3)
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))
(* -1 (* 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 (+ 1 (* 3 (/ 1 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)))))
(* (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 (/ (- (* 2 (/ 1 x)) 2) x)) 3)
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)
(+ 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)))
-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 (* -2 x))) 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) 1)
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1/3 x)
(*.f64 #s(literal -1/3 binary64) x)
x
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* x (- x 1))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(- (* x (- (* -2 x) 2)) 1)
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -2 binary64)) x #s(literal -2 binary64)) x #s(literal -1 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) (*.f64 x x)) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
-3
#s(literal -3 binary64)
(- (* 2 (/ 1 x)) 3)
(-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(- (* 2 (/ 1 x)) (+ 3 (/ 2 (pow x 2))))
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
(- (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3)))) (+ 3 (/ 2 (pow x 2))))
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 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 (+ 1 (* 3 (/ 1 x))))
(+.f64 #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 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x))
(* (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) #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)) (*.f64 x x)) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 3)
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x))
(- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 3)
(-.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) x)) x))

rewrite318.0ms (5.7%)

Memory
-311.8MiB live, 246.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045239
061232
1299201
22951201
09438193
Stop Event
iter limit
node limit
iter limit
Counts
19 → 394
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
(fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
(*.f64 x #s(literal -1/3 binary64))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
#s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(approx (+ (* x x) -1) (*.f64 x x))
(+.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (*.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64)))
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64))))
(neg.f64 (/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
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(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval47.0ms (0.8%)

Memory
-16.2MiB live, 98.7MiB allocated
Compiler

Compiled 11 770 to 1 182 computations (90% saved)

prune16.0ms (0.3%)

Memory
-8.8MiB live, 40.2MiB allocated
Pruning

16 alts after pruning (4 fresh and 12 done)

PrunedKeptTotal
New3853388
Fresh112
Picked055
Done077
Total38616402
Accuracy
100.0%
Counts
402 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
50.2%
(/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64)))
57.1%
(/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
79.1%
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
28.2%
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
28.8%
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
51.6%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
51.6%
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
51.0%
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
51.0%
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
3.4%
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) #s(approx (+ (* (+ 3 x) x) 1) (*.f64 x x)))
49.1%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
49.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/3 binary64))))
49.7%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
49.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)))
51.6%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 1 116 to 357 computations (68% saved)

regimes29.0ms (0.5%)

Memory
6.1MiB live, 44.9MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) #s(approx (+ (* (+ 3 x) x) 1) (*.f64 x x)))
#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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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))
(/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.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 #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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) (-.f64 (/.f64 #s(literal 2 binary64) 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))))
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.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)))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal -1 binary64)) x)) x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) x)) x (-.f64 #s(literal -1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (*.f64 x (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))))
(fma.f64 (/.f64 #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 x (+.f64 #s(literal 1 binary64) x)))
Outputs
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
Calls

2 calls:

9.0ms
x
7.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.9%1x
99.9%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)

regimes12.0ms (0.2%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
21 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) #s(approx (+ (* (+ 3 x) x) 1) (*.f64 x x)))
#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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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))
(/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.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 #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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64)))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) (-.f64 (/.f64 #s(literal 2 binary64) 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))))
Outputs
(/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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
x
5.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
100.0%3x
99.7%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 8 computations (42.9% saved)

regimes5.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
18 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) #s(approx (+ (* (+ 3 x) x) 1) (*.f64 x x)))
#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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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))
(/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.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 #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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Calls

1 calls:

4.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.7%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)

regimes5.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
17 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) #s(approx (+ (* (+ 3 x) x) 1) (*.f64 x x)))
#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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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))
(/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.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 #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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Calls

1 calls:

4.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.5%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 13 to 7 computations (46.2% saved)

regimes7.0ms (0.1%)

Memory
-31.8MiB live, 7.1MiB 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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) #s(approx (+ (* (+ 3 x) x) 1) (*.f64 x x)))
#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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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))
(/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.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 #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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(approx (/ (+ x 1) (- x 1)) #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) #s(approx (+ (* x x) -1) (*.f64 x x)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (*.f64 #s(literal -3 binary64) x)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) #s(approx (+ (* x x) -1) (*.f64 x x)))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))))
Calls

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

Compiled 13 to 7 computations (46.2% saved)

regimes7.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB 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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) #s(approx (+ (* (+ 3 x) x) 1) (*.f64 x x)))
#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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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))
(/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) #s(literal -3 binary64)) (-.f64 x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.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 #s(literal -1/3 binary64))))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
x
3.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.5%3x
98.4%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 14 to 8 computations (42.9% saved)

regimes5.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Accuracy

Total -31.2b remaining (-100.7%)

Threshold costs -31.2b (-100.7%)

Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (/ (- (* x (/ (- x 1) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) #s(approx (+ (* (+ 3 x) x) 1) (*.f64 x x)))
#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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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) (+ 1 x))) (+ 1 x)) (* (+ 1 x) (/ (- x 1) (+ 1 x)))) (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:

2.0ms
x
2.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
51.6%1x
51.6%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, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.4416913763379853e-15
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.4416913763379853e-15
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.0
3.4416913763379853e-15
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
0.48831038566659013
0.99963190762733
Compiler

Compiled 16 to 11 computations (31.3% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.48831038566659013
0.99963190762733
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify26.0ms (0.5%)

Memory
2.2MiB live, 41.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057342
169342
283342
3104342
4117342
5122342
6124342
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Outputs
(/.f64 (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (/.f64 #s(approx (/ (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 1) x)) (+ 1 x)) (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 3 binary64)) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (+ (* (+ (* -1 x) -1) (+ 1 x)) (* (- x 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 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 (+.f64 #s(literal 3 binary64) x) x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

soundness1.2s (21.3%)

Memory
2.2MiB live, 678.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036208
048194
1268164
22882164
08567160
0728
01228
16728
270428
0808528
0131408
1375395
2870369
32272355
45599355
08174333
0119382
1335360
2842338
32356314
46474314
08187296
095272
1262263
2585251
31504235
43731233
56694233
08053222
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 599 to 201 computations (66.4% saved)

preprocess40.0ms (0.7%)

Memory
7.5MiB live, 79.8MiB allocated
Compiler

Compiled 710 to 130 computations (81.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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