Asymptote B

Time bar (total: 5.6s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample755.0ms (13.5%)

Memory
42.4MiB live, 1 211.7MiB allocated
Samples
509.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 346.0ms
ival-div: 195.0ms (56.3% of total)
ival-add: 74.0ms (21.4% of total)
ival-sub: 64.0ms (18.5% of total)
ival-true: 6.0ms (1.7% of total)
exact: 4.0ms (1.2% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain140.0ms (2.5%)

Memory
-8.8MiB live, 182.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
00-0-(/.f64 x (+.f64 x #s(literal 1 binary64)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
46.0ms512×0valid
Compiler

Compiled 73 to 25 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 21.0ms (66.3% of total)
ival-add: 6.0ms (18.9% of total)
ival-sub: 3.0ms (9.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess24.0ms (0.4%)

Memory
34.5MiB live, 34.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
11827
23025
33925
44025
0711
01211
11611
01611
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify14.0ms (0.2%)

Memory
-35.3MiB live, 9.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
01229
11629
01629
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

localize35.0ms (0.6%)

Memory
-6.5MiB live, 52.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0078125
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.01953125
(/.f64 x (+.f64 x #s(literal 1 binary64)))
Samples
15.0ms256×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (45% of total)
ival-add: 3.0ms (33.7% of total)
ival-sub: 2.0ms (22.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
5 → 31
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.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))
Outputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(- x 1)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(+ 1 x)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* x (- 1 (/ 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 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(* -1 (* x (- (/ 1 x) 1)))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
Calls

3 calls:

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

simplify245.0ms (4.4%)

Memory
9.1MiB live, 392.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083293
1216279
2560271
31741267
44760263
08167260
Stop Event
iter limit
node limit
Counts
31 → 30
Calls
Call 1
Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(- x 1)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(+ 1 x)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* x (- 1 (/ 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 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(* -1 (* x (- (/ 1 x) 1)))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x) #s(literal 1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(- (* -1 x) 1)
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(- (* x (- (* -1 x) 1)) 1)
(-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- x 1)
(-.f64 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 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* x (- 1 (/ 1 x)))
(+.f64 #s(literal -1 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 x #s(literal -1 binary64))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 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))

rewrite237.0ms (4.2%)

Memory
23.8MiB live, 304.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
01227
15927
251427
3799027
0800127
Stop Event
iter limit
node limit
iter limit
Counts
5 → 653
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.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))
Outputs
(*.f64 (/.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (-.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 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (+.f64 (pow.f64 (neg.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 (/.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (-.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 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (-.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 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (+.f64 (+.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (-.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -4 binary64)) (pow.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))))
(*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -6 binary64)))) (fma.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 (-.f64 (pow.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -4 binary64))))
(*.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 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 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64))) (fma.f64 x x #s(literal -1 binary64)))
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(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))))
(/.f64 (+.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)))
(neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (/.f64 (fabs.f64 x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fabs.f64 x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (neg.f64 x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fabs.f64 x) #s(literal 1 binary64)) (/.f64 (fabs.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.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 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) x))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 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 x x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (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 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(fma.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 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)))))
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (+.f64 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 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.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 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (+.f64 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 (+.f64 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 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #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))) (fma.f64 x 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))) x))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 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 x x)))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(literal 1 binary64) x)

eval380.0ms (6.8%)

Memory
-50.1MiB live, 846.8MiB allocated
Compiler

Compiled 18 501 to 1 953 computations (89.4% saved)

prune41.0ms (0.7%)

Memory
-11.8MiB live, 82.8MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New6726678
Fresh000
Picked101
Done000
Total6736679
Accuracy
100.0%
Counts
679 → 6
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
44.7%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
44.7%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x) #s(literal 1 binary64)))
44.7%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
55.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
45.1%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 212 to 142 computations (33% saved)

simplify282.0ms (5%)

Memory
3.6MiB live, 773.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(*.f64 (*.f64 x x) #s(literal -2 binary64))
cost-diff0
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff4
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028168
043168
169168
2147166
3373159
41061159
54919159
08901154
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 binary64) x)
Outputs
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 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)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 x x)
x
#s(literal -2 binary64)
#s(literal 1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(-.f64 #s(literal 1 binary64) x)

localize57.0ms (1%)

Memory
21.9MiB live, 209.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
accuracy0.0078125
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
accuracy0.01171875
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy35.38886610114942
#s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
accuracy0.0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.6522702153990922
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy28.44661731688072
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy0.015625
(*.f64 (*.f64 x x) #s(literal -2 binary64))
accuracy35.381807222953576
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy35.14620069650918
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0078125
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64)))
accuracy15.984556569354472
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Samples
41.0ms256×0valid
Compiler

Compiled 144 to 23 computations (84% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 6.0ms (26.6% of total)
ival-mult: 6.0ms (26.6% of total)
ival-add: 5.0ms (22.1% of total)
ival-sub: 4.0ms (17.7% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
-7.8MiB live, 37.8MiB allocated
Counts
16 → 40
Calls
Call 1
Inputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
Outputs
1
(+ 1 (pow x 2))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(- x 1)
(+ 1 x)
(* -2 (pow x 2))
(pow x 2)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* x (- 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
Calls

3 calls:

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

simplify212.0ms (3.8%)

Memory
14.1MiB live, 502.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
093343
1249324
2681316
32154312
46109306
08252299
Stop Event
iter limit
node limit
Counts
40 → 39
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(- x 1)
(+ 1 x)
(* -2 (pow x 2))
(pow x 2)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* x (- 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* -1 (pow x 2))
(* (pow x 2) (- (/ 1 x) 1))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(- (* -1 x) 1)
(-.f64 (neg.f64 x) #s(literal 1 binary64))
(- (* x (- (* -1 x) 1)) 1)
(-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64))
x
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* x (- x 1))))
(fma.f64 (fma.f64 x x (neg.f64 x)) x x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64)) x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* 2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* x (- 1 (/ 1 x)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) (*.f64 x x))
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) x))
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (/ 1 x) 1))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* -1 (* x (- (/ 1 x) 1)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (+.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) (*.f64 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))

rewrite232.0ms (4.2%)

Memory
12.8MiB live, 392.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028143
043143
1177141
21512141
08415141
Stop Event
iter limit
node limit
iter limit
Counts
16 → 540
Calls
Call 1
Inputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
Outputs
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)) (*.f64 (-.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) (*.f64 (-.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) x) (-.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
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(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(fabs.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 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 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))))
(/.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (fma.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (*.f64 (fma.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (fma.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (fma.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64))) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (fma.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))
(fma.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (fabs.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (fabs.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (fabs.f64 (+.f64 #s(literal 1 binary64) x)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(-.f64 (/.f64 (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))) (/.f64 (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))))
(+.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (fma.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (/.f64 (pow.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (-.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))))
(+.f64 #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
(*.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (fabs.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 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 -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))
(pow.f64 (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))
(fabs.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fabs.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(+.f64 (cosh.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))) (sinh.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))))
#s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 (fma.f64 (neg.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 x (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (fma.f64 (neg.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 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)) (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(/.f64 (*.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

eval114.0ms (2%)

Memory
-28.9MiB live, 310.0MiB allocated
Compiler

Compiled 18 026 to 2 070 computations (88.5% saved)

prune18.0ms (0.3%)

Memory
30.3MiB live, 77.8MiB allocated
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New6203623
Fresh101
Picked325
Done000
Total6245629
Accuracy
100.0%
Counts
629 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
44.7%
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
55.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
2.8%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
45.1%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 98 to 65 computations (33.7% saved)

simplify216.0ms (3.9%)

Memory
-21.9MiB live, 405.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
027125
035125
161125
2154119
3429108
41156108
55017108
08647108
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal -1 binary64)
(/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal -1 binary64)
(/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)

localize48.0ms (0.9%)

Memory
-19.2MiB live, 174.3MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 x x #s(literal 1 binary64))
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy0.0
#s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64)))
accuracy15.984556569354472
(/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
accuracy35.381807222953576
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.6522702153990922
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy28.44661731688072
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
accuracy34.15955052543906
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
Samples
34.0ms256×0valid
Compiler

Compiled 95 to 22 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-add: 9.0ms (37.5% of total)
ival-div: 6.0ms (25% of total)
ival-mult: 5.0ms (20.8% of total)
ival-sub: 4.0ms (16.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
25.5MiB live, 25.5MiB allocated
Counts
10 → 17
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
Outputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(pow x 2)
1
(+ 1 (pow x 2))
(- (pow x 2) 1)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Calls

3 calls:

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

simplify135.0ms (2.4%)

Memory
13.0MiB live, 392.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041137
191133
2285133
3943133
43212133
08590128
Stop Event
iter limit
node limit
Counts
17 → 17
Calls
Call 1
Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(pow x 2)
1
(+ 1 (pow x 2))
(- (pow x 2) 1)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(+ 1 (* 2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)

rewrite292.0ms (5.2%)

Memory
0.4MiB live, 720.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027114
035114
1159111
21410111
08279109
Stop Event
iter limit
node limit
iter limit
Counts
10 → 254
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (fabs.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x))) x)
(/.f64 (fabs.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) x)
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x))) x)
(/.f64 (fabs.f64 (/.f64 #s(literal 2 binary64) x)) x)
(/.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(fabs.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 2 binary64))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) x))
(-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -2 binary64)))
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(/.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 (fma.f64 x x (+.f64 x #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))) (*.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (fma.f64 x 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 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (+.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)) (+.f64 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 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x))))
(fma.f64 (/.f64 (*.f64 (-.f64 x #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)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 (-.f64 x #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)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.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 x (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.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 x (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.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 x (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.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 x (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (/.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 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 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 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (+.f64 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 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 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 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 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 x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 x))) #s(literal -1 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (*.f64 (-.f64 x #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)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 x (fabs.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(expm1.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x))))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x))))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x))))))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x)))) (/.f64 #s(literal -1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 x x)))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal -1 binary64))

eval103.0ms (1.9%)

Memory
-29.0MiB live, 255.3MiB allocated
Compiler

Compiled 8 798 to 956 computations (89.1% saved)

prune7.0ms (0.1%)

Memory
41.9MiB live, 41.9MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New2891290
Fresh000
Picked123
Done022
Total2905295
Accuracy
100.0%
Counts
295 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
44.7%
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)))
55.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
2.8%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
45.1%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 98 to 65 computations (33.7% saved)

simplify231.0ms (4.1%)

Memory
-36.4MiB live, 685.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 3 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01434
01734
13734
211532
336530
4107330
5486830
0884428
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(literal -1 binary64)
Outputs
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
#s(literal -1 binary64)

localize34.0ms (0.6%)

Memory
20.6MiB live, 210.7MiB allocated
Localize:

Found 3 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64))
accuracy0.0
(*.f64 #s(literal -2 binary64) x)
accuracy35.381807222953576
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)))
Samples
26.0ms256×0valid
Compiler

Compiled 30 to 16 computations (46.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-mult: 8.0ms (43.2% of total)
ival-add: 6.0ms (32.4% of total)
ival-sub: 2.0ms (10.8% of total)
ival-div: 2.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
3 → 11
Calls
Call 1
Inputs
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) x)
Outputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(* -2 x)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
Calls

3 calls:

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

simplify173.0ms (3.1%)

Memory
-31.4MiB live, 313.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03395
17395
223895
375695
4211695
5417895
0818093
Stop Event
iter limit
node limit
Counts
11 → 11
Calls
Call 1
Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(* -2 x)
1
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 1 binary64))
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))

rewrite159.0ms (2.8%)

Memory
26.1MiB live, 405.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01431
01731
19331
281727
0933027
Stop Event
iter limit
node limit
iter limit
Counts
3 → 45
Calls
Call 1
Inputs
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64))
(*.f64 #s(literal -2 binary64) x)
Outputs
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)))) (*.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))))) (-.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))) (fma.f64 (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))))) (*.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x))))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x))))
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))))
(neg.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal -2 binary64) x) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))) (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))) (pow.f64 (-.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))))
(+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))))
(+.f64 (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))))
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) x) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 #s(literal 2 binary64) x)) x))
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal -2 binary64) x) x))
(*.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) x)
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) x))
(*.f64 x #s(literal -2 binary64))

eval28.0ms (0.5%)

Memory
-18.2MiB live, 26.7MiB allocated
Compiler

Compiled 2 097 to 216 computations (89.7% saved)

prune5.0ms (0.1%)

Memory
23.8MiB live, 23.8MiB allocated
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New55156
Fresh000
Picked011
Done134
Total56561
Accuracy
100.0%
Counts
61 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.2%
(/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
44.7%
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)))
55.5%
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64))
55.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
45.1%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 312 to 117 computations (62.5% saved)

regimes32.0ms (0.6%)

Memory
-16.9MiB live, 30.5MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Calls

2 calls:

29.0ms
x
3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
100.0%1(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
100.0%1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (/ x (+ x 1)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
Calls

2 calls:

3.0ms
x
3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.7%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
100.0%3x
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes2.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
Outputs
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.4%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes2.0ms (0%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 (*.f64 #s(literal -2 binary64) x) x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
Outputs
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64))
Calls

1 calls:

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

Compiled 11 to 7 computations (36.4% saved)

regimes1.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64))
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.0%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes59.0ms (1.1%)

Memory
-37.8MiB live, 69.7MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

57.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
2.0ms
x
Results
AccuracySegmentsBranch
45.1%1x
45.1%1(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
2.8MiB live, 2.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
1.0
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
1.0
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-1.0
1.0
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch2.0ms (0%)

Memory
5.1MiB live, 5.2MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
Steps
TimeLeftRight
2.0ms
-1.0
1.0
Samples
0.0ms16×0valid
Compiler

Compiled 44 to 34 computations (22.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify67.0ms (1.2%)

Memory
-1.7MiB live, 89.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037228
158228
2125220
3332210
4959208
54281208
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64)) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (- x 1) x) (+ x 1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64)) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64)))
(if (<=.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal -1 binary64)) #s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) #s(literal -1 binary64))

soundness1.1s (18.9%)

Memory
5.6MiB live, 726.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
01227
15927
251427
3799027
0800127
03395
17395
223895
375695
4211695
5417895
0818093
027114
035114
1159111
21410111
08279109
093343
1249324
2681316
32154312
46109306
08252299
083293
1216279
2560271
31741267
44760263
08167260
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 435 to 151 computations (65.3% saved)

preprocess112.0ms (2%)

Memory
7.9MiB live, 151.0MiB allocated
Compiler

Compiled 510 to 86 computations (83.1% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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