Asymptote B

Time bar (total: 3.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze2.0ms (0.1%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
Algorithm
1×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)

sample801.0ms (22.2%)

Memory
49.7MiB live, 737.4MiB allocated; 135ms collecting garbage
Samples
517.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 328.0ms
ival-div: 139.0ms (42.4% of total)
ival-add: 89.0ms (27.1% of total)
ival-sub: 84.0ms (25.6% of total)
ival-true: 5.0ms (1.5% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
adjust: 2.0ms (0.6% of total)
Bogosity

explain175.0ms (4.9%)

Memory
-48.5MiB live, 89.9MiB allocated; 109ms collecting garbage
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
48.0ms512×0valid
Compiler

Compiled 73 to 25 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 27.0ms (75.6% of total)
ival-add: 5.0ms (14% of total)
ival-sub: 3.0ms (8.4% of total)
ival-true: 1.0ms (2.8% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess12.0ms (0.3%)

Memory
21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
11827
23025
33925
44025
0711
01211
11611
01611
Stop Event
1×iter limit
1×saturated
1×iter limit
1×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; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune5.0ms (0.1%)

Memory
-43.0MiB live, 0.8MiB allocated; 6ms collecting garbage
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)

simplify4.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB allocated; 0ms collecting garbage
Algorithm
1×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
1×iter limit
1×saturated
1×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))

localize19.0ms (0.5%)

Memory
29.7MiB live, 29.7MiB allocated; 0ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.01171875
(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy0.015625
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
accuracy0.02734375
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
Samples
13.0ms256×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (40.3% of total)
ival-add: 2.0ms (26.8% of total)
ival-sub: 1.0ms (13.4% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated; 0ms collecting garbage
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))

simplify133.0ms (3.7%)

Memory
-10.6MiB live, 87.0MiB allocated; 8ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083293
1216279
2560271
31741267
44760263
08167260
Stop Event
1×iter limit
1×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))

rewrite185.0ms (5.1%)

Memory
-20.5MiB live, 115.6MiB allocated; 11ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
01227
15927
251427
3799027
0800127
Stop Event
1×iter limit
1×node limit
1×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)))
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(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 x #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 (-.f64 (pow.f64 x #s(literal 3 binary64)) #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 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.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)

eval146.0ms (4%)

Memory
33.9MiB live, 130.3MiB allocated; 13ms collecting garbage
Compiler

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

prune20.0ms (0.6%)

Memory
-15.8MiB live, 30.7MiB allocated; 2ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New6735678
Fresh000
Picked101
Done000
Total6745679
Accuracy
100.0%
Counts
679 → 5
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)))
▶49.7%
#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)))
▶49.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
▶50.3%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
▶49.5%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 178 to 120 computations (32.6% saved)

simplify176.0ms (4.9%)

Memory
7.6MiB live, 147.7MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x)
cost-diff0
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x)
cost-diff0
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x) #s(literal 1 binary64))
cost-diff0
#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)))
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
028199
043199
170199
2153197
3399189
41096189
54989189
08720183
Stop Event
1×iter limit
1×node limit
1×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)
#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 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x)
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(*.f64 x x)
x
#s(literal -2 binary64)
#s(literal 2 binary64)
#s(literal 1 binary64)
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)
#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)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal 1 binary64)))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x) #s(literal 1 binary64))
(-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x)
(*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x)
(*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64))
(-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 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 2 binary64)
#s(literal 1 binary64)

localize58.0ms (1.6%)

Memory
25.8MiB live, 115.0MiB allocated; 7ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (*.f64 x x) #s(literal -2 binary64))
accuracy0.01171875
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x)
accuracy0.0390625
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x)
accuracy32.17399043406002
#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)))
accuracy0.0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.6827439730881006
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy31.79651992622219
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
accuracy0.0
(-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(*.f64 (*.f64 x x) #s(literal -2 binary64))
accuracy32.257529993508484
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
accuracy32.29415825548728
#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))
accuracy0.00390625
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (+.f64 x #s(literal 1 binary64)))
accuracy15.988462819354472
(/.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
42.0ms256×0valid
Compiler

Compiled 173 to 25 computations (85.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-mult: 8.0ms (32.5% of total)
ival-div: 6.0ms (24.4% of total)
ival-sub: 5.0ms (20.3% of total)
ival-add: 5.0ms (20.3% of total)
exact: 1.0ms (4.1% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.2%)

Memory
6.5MiB live, 6.5MiB allocated; 0ms collecting garbage
Counts
16 → 29
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))
#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 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) 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))
(* (pow x 2) (- (* -2 (pow x 2)) 2))
(* -2 x)
(* x (- (* -2 (pow x 2)) 2))
(* (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
(* x (- 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -2 (pow x 4))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ 1 x) 1)))
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))) (- (* (* (- (* (* x x) -2) 2) x) x) 1) (* (* (- (* (* x x) -2) 2) x) x) (* (- (* (* x x) -2) 2) 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))) (- (* (* (- (* (* x x) -2) 2) x) x) 1) (* (* (- (* (* x x) -2) 2) x) x) (* (- (* (* x x) -2) 2) 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))) (- (* (* (- (* (* x x) -2) 2) x) x) 1) (* (* (- (* (* x x) -2) 2) x) x) (* (- (* (* x x) -2) 2) x))

simplify156.0ms (4.3%)

Memory
-38.2MiB live, 71.6MiB allocated; 15ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063218
1165214
2553212
32106200
47230200
08113194
Stop Event
1×iter limit
1×node limit
Counts
29 → 28
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))
(* (pow x 2) (- (* -2 (pow x 2)) 2))
(* -2 x)
(* x (- (* -2 (pow x 2)) 2))
(* (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
(* x (- 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* -2 (pow x 4))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(* -2 (pow x 3))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 (pow x 2))))))
(* -1 (* x (- (/ 1 x) 1)))
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 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64)) x) #s(literal 1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64)) 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))
(* (pow x 2) (- (* -2 (pow x 2)) 2))
(*.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* -2 (pow x 2)) 2))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64))
(* (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 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(+ 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
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) 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))
(* -2 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 4) (+ 2 (* 2 (/ 1 (pow x 2))))))
(*.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))
(* (pow x 4) (- (* -1 (/ (+ 2 (/ 1 (pow x 2))) (pow x 2))) 2))
(fma.f64 (*.f64 #s(literal -2 binary64) x) x (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* -1 (* (pow x 3) (+ 2 (* 2 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))

rewrite215.0ms (6%)

Memory
4.7MiB live, 148.1MiB allocated; 15ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028163
043163
1182161
21538161
08266161
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 475
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))
#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 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x) #s(literal 1 binary64))
(*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x)
(*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) 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 (fma.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (+.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 #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))) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))) (*.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 (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 (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) (*.f64 (+.f64 #s(literal 1 binary64) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
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(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)) x)) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 4 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)))) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) x) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)) x) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 4 binary64))))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (*.f64 x (-.f64 (*.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 4 binary64))))

eval104.0ms (2.9%)

Memory
10.5MiB live, 97.5MiB allocated; 11ms collecting garbage
Compiler

Compiled 15 854 to 1 973 computations (87.6% saved)

prune11.0ms (0.3%)

Memory
-13.7MiB live, 31.3MiB allocated; 3ms collecting garbage
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New5473550
Fresh000
Picked325
Done000
Total5505555
Accuracy
100.0%
Counts
555 → 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)))
▶49.6%
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
✓50.3%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
▶2.5%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓49.5%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 98 to 65 computations (33.7% saved)

simplify185.0ms (5.1%)

Memory
30.0MiB live, 132.1MiB allocated; 12ms collecting garbage
Algorithm
1×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
1×iter limit
1×node limit
1×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)

localize58.0ms (1.6%)

Memory
1.0MiB live, 86.7MiB allocated; 10ms collecting garbage
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)))
accuracy15.988462819354472
(/.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
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
accuracy0.0
(*.f64 x x)
accuracy32.257529993508484
#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)
accuracy0.6827439730881006
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy31.4785667326294
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
accuracy31.79651992622219
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
Samples
33.0ms256×0valid
Compiler

Compiled 95 to 22 computations (76.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-add: 10.0ms (42.8% of total)
ival-div: 6.0ms (25.7% of total)
ival-mult: 5.0ms (21.4% of total)
ival-sub: 2.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
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
@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))
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))

simplify165.0ms (4.6%)

Memory
-13.1MiB live, 143.1MiB allocated; 11ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041137
191133
2285133
3943133
43212133
08590128
Stop Event
1×iter limit
1×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)

rewrite189.0ms (5.2%)

Memory
-43.1MiB live, 99.6MiB allocated; 17ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027114
035114
1159111
21410111
08279109
Stop Event
1×iter limit
1×node limit
1×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)))))))
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(-.f64 (*.f64 x x) #s(literal 1 binary64))
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(+.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))

eval29.0ms (0.8%)

Memory
32.3MiB live, 32.3MiB allocated; 0ms collecting garbage
Compiler

Compiled 8 798 to 956 computations (89.1% saved)

prune8.0ms (0.2%)

Memory
14.5MiB live, 14.5MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2900290
Fresh000
Picked033
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)))
✓49.6%
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
✓50.3%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
✓2.5%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓49.5%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 264 to 113 computations (57.2% saved)

regimes30.0ms (0.8%)

Memory
-40.5MiB live, 6.9MiB allocated; 2ms collecting garbage
Counts
9 → 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)) (fma.f64 #s(literal -2 binary64) (*.f64 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)))
#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:

28.0ms
x
2.0ms
(+.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)

regimes5.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated; 0ms collecting garbage
Counts
8 → 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)) (fma.f64 #s(literal -2 binary64) (*.f64 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)))
#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
2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.5%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 (0.1%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Counts
5 → 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)) (fma.f64 #s(literal -2 binary64) (*.f64 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
99.0%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)

regimes3.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated; 0ms collecting garbage
Counts
4 → 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)) (fma.f64 #s(literal -2 binary64) (*.f64 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 (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
Calls

2 calls:

2.0ms
x
1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
49.6%1x
51.2%2(+.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)

regimes1.0ms (0%)

Memory
2.1MiB live, 2.1MiB allocated; 0ms collecting garbage
Counts
3 → 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)) (fma.f64 #s(literal -2 binary64) (*.f64 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)))
Outputs
#s(approx (/ (+ (* (- x 1) x) (+ x 1)) (+ (* x x) -1)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #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
49.6%1(+.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 (0.1%)

Memory
3.5MiB live, 3.5MiB allocated; 0ms collecting garbage
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:

1.0ms
x
1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
49.5%1x
49.5%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)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999999
1.0
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999999
1.0
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999999
1.0
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify80.0ms (2.2%)

Memory
-19.8MiB live, 26.7MiB allocated; 2ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
040214
164214
2135208
3349200
4987198
54359198
Stop Event
1×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 -1/2 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 -1/2 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 -1/2 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))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.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)))
#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 -1/2 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 -1/2 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 -1/2 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 -1/2 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 -1/2 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))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))
(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 -1/2 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(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.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)))
#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))

derivations510.0ms (14.1%)

Memory
30.5MiB live, 219.6MiB allocated; 14ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063218
1165214
2553212
32106200
47230200
08113194
0727
01227
15927
251427
3799027
0800127
083293
1216279
2560271
31741267
44760263
08167260
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 230 to 40 computations (82.6% saved)

preprocess107.0ms (3%)

Memory
-0.6MiB live, 93.5MiB allocated; 9ms collecting garbage
Compiler

Compiled 482 to 94 computations (80.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

Loading profile data...