3frac (problem 3.3.3)

Time bar (total: 9.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze4.0ms (0%)

Memory
3.7MiB live, 3.7MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.8%6.3%50%0%0%0%4
93.8%46.9%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%50%0%50%0%0%0%11
100%50%0%50%0%0%0%12
Compiler

Compiled 20 to 13 computations (35% saved)

sample2.2s (23.7%)

Memory
58.4MiB live, 2 002.6MiB allocated
Samples
1.6s7 271×1valid
170.0ms564×2valid
28.0ms421×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.5s
ival-div: 615.0ms (40.3% of total)
ival-sub: 370.0ms (24.2% of total)
adjust: 247.0ms (16.2% of total)
ival-add: 194.0ms (12.7% of total)
ival-fabs: 53.0ms (3.5% of total)
ival->: 32.0ms (2.1% of total)
exact: 9.0ms (0.6% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain280.0ms (3.1%)

Memory
14.3MiB live, 326.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
95160(-1.446010530693392e+189)2(11.345301209850682)(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
00-0-#s(literal 1 binary64)
00-0-(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(/.f64 #s(literal 2 binary64) x)
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 2 binary64)
00-0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
+.f64(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))cancellation2532
Confusion
Predicted +Predicted -
+931
-1602
Precision
0.3675889328063241
Recall
0.9893617021276596
Confusion?
Predicted +Predicted MaybePredicted -
+9310
-16011
Precision?
0.3686274509803922
Recall?
1.0
Freqs
test
numberfreq
03
1253
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
71.0ms448×1valid
6.0ms26×2valid
3.0ms38×0valid
Compiler

Compiled 203 to 80 computations (60.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 57.0ms
ival-div: 23.0ms (40.6% of total)
adjust: 13.0ms (23% of total)
ival-sub: 10.0ms (17.7% of total)
ival-add: 9.0ms (15.9% of total)
exact: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess37.0ms (0.4%)

Memory
4.0MiB live, 41.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
13232
28730
322330
443730
554430
657730
758230
01015
01715
12815
24615
37415
413415
524815
638915
749915
854615
054615
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
Symmetry

(negabs x)

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.7%
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 15 to 10 computations (33.3% saved)

simplify50.0ms (0.6%)

Memory
-40.6MiB live, 11.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01046
01746
12846
24646
37446
413446
524846
638946
749946
854646
054646
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal -1 binary64) (-.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))
(-.f64 x #s(literal -1 binary64))
x
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

localize52.0ms (0.6%)

Memory
29.3MiB live, 65.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy0.04296875
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
accuracy21.302959992250525
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Samples
38.0ms224×1valid
3.0ms13×2valid
1.0ms19×0valid
Compiler

Compiled 94 to 22 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 14.0ms (44.5% of total)
adjust: 7.0ms (22.2% of total)
ival-add: 5.0ms (15.9% of total)
ival-sub: 4.0ms (12.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
4 → 33
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
x
(* x (+ 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
Calls

3 calls:

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

simplify149.0ms (1.6%)

Memory
-14.0MiB live, 143.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099363
1260343
2673322
32160309
46993309
08277303
Stop Event
iter limit
node limit
Counts
33 → 32
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/ -1 x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/ 1 x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
x
(* x (+ 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)

rewrite223.0ms (2.4%)

Memory
20.8MiB live, 252.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01032
01732
19432
2109532
0850829
Stop Event
iter limit
node limit
iter limit
Counts
4 → 383
Calls
Call 1
Inputs
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64))
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(fma.f64 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 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (log1p.f64 x))

eval157.0ms (1.7%)

Memory
4.0MiB live, 88.0MiB allocated
Compiler

Compiled 12 946 to 1 486 computations (88.5% saved)

prune122.0ms (1.3%)

Memory
-29.1MiB live, 42.9MiB allocated
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New39613409
Fresh000
Picked011
Done000
Total39614410
Accuracy
99.7%
Counts
410 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
18.0%
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
19.2%
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
66.7%
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
18.0%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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)))))
19.1%
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
19.0%
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
66.7%
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
4.1%
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
65.4%
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
65.6%
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
98.9%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))))
98.5%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
5.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Compiler

Compiled 601 to 350 computations (41.8% saved)

simplify366.0ms (4%)

Memory
-8.6MiB live, 141.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff320
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff384
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff1152
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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)))
cost-diff0
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff384
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff0
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))
cost-diff0
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff0
(/.f64 #s(literal -2 binary64) x)
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
cost-diff0
(*.f64 x x)
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040313
066292
1122292
2255271
3667271
41842267
56069249
08355245
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(literal -2 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
x
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
x
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 2 binary64)
(+.f64 x #s(literal 1 binary64))
#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)) x)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
#s(literal 2 binary64)
(*.f64 x x)
x
#s(literal -2 binary64)
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x)) (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal -2 binary64) x)
x
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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)))
#s(literal 2 binary64)
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal -2 binary64) x)
x
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(fma.f64 x x x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

localize288.0ms (3.2%)

Memory
15.9MiB live, 171.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy0.1015625
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
accuracy0.20316541042729896
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
accuracy60.804187863534565
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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)))
accuracy0
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy0.00390625
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.09375
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy59.371885599227696
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.01953125
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
accuracy0.7604963219215128
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))
accuracy21.302959992250525
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy0
(/.f64 #s(literal -2 binary64) x)
accuracy60.79138950221985
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
accuracy0
(*.f64 x x)
accuracy0.20316541042729896
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy0.3684667451993484
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy0.4904819352724657
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))))
Samples
144.0ms127×2valid
110.0ms124×1valid
1.0ms0valid
Compiler

Compiled 600 to 79 computations (86.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 219.0ms
ival-div: 65.0ms (29.7% of total)
adjust: 42.0ms (19.2% of total)
ival-sub: 40.0ms (18.3% of total)
ival-mult: 39.0ms (17.8% of total)
ival-add: 30.0ms (13.7% of total)
ival-pow: 3.0ms (1.4% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.2%)

Memory
-14.9MiB live, 22.6MiB allocated
Counts
22 → 60
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(*.f64 x x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(-.f64 x #s(literal 1 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 (+.f64 x #s(literal 1 binary64)) x) (-.f64 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)) x)
Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(pow x 2)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(/ -1 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ -1 x)
(/ (- (* -1 x) 1) x)
-2
(- (* -1 x) 2)
2
(+ 2 (* 2 x))
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
x
(* x (+ 1 x))
-1
(- x 1)
(* -1 x)
(* x (- x 1))
(* x (- (pow x 2) 1))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(+ 2 (* 2 (/ 1 (pow x 2))))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(* -1 (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Calls

3 calls:

TimeVariablePointExpression
8.0ms
x
@inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ 2 (* x x)) -2) (pow x 3)) (- (/ 2 (* x x)) -2) (* x x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- (/ -1 x) 1) x) (- (/ -1 x) 1) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) 1) (/ 2 (* x x)) (- x 1) (* x (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1)) (* (+ x 1) x))
4.0ms
x
@0
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ 2 (* x x)) -2) (pow x 3)) (- (/ 2 (* x x)) -2) (* x x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- (/ -1 x) 1) x) (- (/ -1 x) 1) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) 1) (/ 2 (* x x)) (- x 1) (* x (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1)) (* (+ x 1) x))
4.0ms
x
@-inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (- (/ 2 (* x x)) -2) (pow x 3)) (- (/ 2 (* x x)) -2) (* x x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ -2 x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ (- (/ -1 x) 1) x) (- (/ -1 x) 1) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) 1) (/ 2 (* x x)) (- x 1) (* x (- x 1)) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) (- x 1)) (* (+ x 1) x))

simplify141.0ms (1.6%)

Memory
9.9MiB live, 161.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0149506
1411482
21069456
33433443
08295428
Stop Event
iter limit
node limit
Counts
60 → 59
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(pow x 2)
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(/ -1 (pow x 2))
(/ (- (* -1 x) 1) (pow x 2))
(/ -1 x)
(/ (- (* -1 x) 1) x)
-2
(- (* -1 x) 2)
2
(+ 2 (* 2 x))
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
x
(* x (+ 1 x))
-1
(- x 1)
(* -1 x)
(* x (- x 1))
(* x (- (pow x 2) 1))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(+ 2 (* 2 (/ 1 (pow x 2))))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(* -1 (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ 2 (pow x 5))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) x))
(pow x 2)
(*.f64 x x)
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1 x) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 x) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
x
(* x (+ 1 x))
(fma.f64 x x x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

rewrite217.0ms (2.4%)

Memory
16.4MiB live, 292.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040252
066246
1304233
22848233
09495216
Stop Event
iter limit
node limit
iter limit
Counts
22 → 724
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(*.f64 x x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) x)
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x)
(fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(-.f64 x #s(literal 1 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 (+.f64 x #s(literal 1 binary64)) x) (-.f64 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)) x)
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(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)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (fma.f64 x x x))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 x #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) 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 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) 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)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)))) (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))) (/.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x)))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (/.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(-.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 #s(literal 2 binary64) x))
(-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (-.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) 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 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) 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 -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 #s(literal -2 binary64) x))
(+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)))
(+.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (fma.f64 x x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x x) (-.f64 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)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (fma.f64 x x x)) (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) (*.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x) (-.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x 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 x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(+.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) x)
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(*.f64 x (+.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 x x x)
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))

eval121.0ms (1.3%)

Memory
13.7MiB live, 286.2MiB allocated
Compiler

Compiled 34 582 to 3 201 computations (90.7% saved)

prune28.0ms (0.3%)

Memory
-0.5MiB live, 75.5MiB allocated
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1 010111 021
Fresh538
Picked415
Done011
Total1 019161 035
Accuracy
100.0%
Counts
1 035 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.9%
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
18.1%
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
66.9%
(/.f64 (fma.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
19.2%
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
19.2%
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
50.0%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
98.7%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
97.2%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
19.1%
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
66.7%
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
65.6%
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x)) x))
98.5%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
5.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64))))
38.9%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- (/ 2 (* x x)) -2) (pow x 3)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))))))
Compiler

Compiled 742 to 461 computations (37.9% saved)

simplify144.0ms (1.6%)

Memory
-2.8MiB live, 153.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))
cost-diff192
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
cost-diff384
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
cost-diff448
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
cost-diff256
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
cost-diff384
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
cost-diff0
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
cost-diff0
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
cost-diff0
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
cost-diff0
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
cost-diff0
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff0
(pow.f64 x #s(literal -2 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff0
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64)))
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045356
077348
1160344
2369327
31147305
45496295
08358287
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 2 binary64)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
x
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
(fma.f64 x x x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)))
#s(literal -1 binary64)
(fma.f64 x x x)
x
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal -2 binary64)
(neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(literal 2 binary64)
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
#s(literal -2 binary64)
x
#s(literal 2 binary64)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
x
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 2 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(-.f64 #s(literal -2 binary64) x)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
(fma.f64 x x x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 x x (fma.f64 (neg.f64 x) x #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)))
(fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal -2 binary64)))
#s(literal -1 binary64)
(fma.f64 x x x)
x
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal -2 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(-.f64 #s(literal -2 binary64) x)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal -2 binary64)
(neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))

localize410.0ms (4.5%)

Memory
3.3MiB live, 290.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))
accuracy0.09375
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy0.20316541042729896
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
accuracy61.07228996416991
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)))
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.09375
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy0.20316541042729896
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
accuracy60.804187863534565
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
accuracy0.00390625
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.015625
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
accuracy0.09375
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy0.7640804541082632
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.00390625
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.09375
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy62.9999163098015
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy0
(pow.f64 x #s(literal -2 binary64))
accuracy0
(pow.f64 x #s(literal -3 binary64))
accuracy0.02734375
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64)))
accuracy0.4904819352724657
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64))))
Samples
225.0ms127×2valid
145.0ms124×1valid
1.0ms0valid
Compiler

Compiled 708 to 94 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 256.0ms
adjust: 88.0ms (34.3% of total)
ival-pow: 47.0ms (18.3% of total)
ival-add: 46.0ms (18% of total)
ival-div: 31.0ms (12.1% of total)
ival-mult: 31.0ms (12.1% of total)
ival-sub: 10.0ms (3.9% of total)
ival-neg: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series45.0ms (0.5%)

Memory
-21.8MiB live, 15.3MiB allocated
Counts
23 → 62
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(+.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))
(pow.f64 x #s(literal -3 binary64))
(-.f64 x #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ 1 (pow x 2))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(* -1 x)
(* x (- x 1))
(/ -2 (pow x 2))
(/ (- (* 2 x) 2) (pow x 2))
(/ (- (* 2 x) 2) x)
-2
(- (* -1 x) 2)
1
(+ 1 x)
(+ 1 (* -1 x))
(- x 2)
(- (* x (+ 1 x)) 2)
(/ 1 (pow x 3))
-1
(- x 1)
(* x (- (pow x 2) 1))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(- 2 (* 2 (/ 1 x)))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
x
(* x (+ 1 (/ 1 x)))
(* x (- (/ 1 x) 1))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2))))
(* x (- 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Calls

3 calls:

TimeVariablePointExpression
35.0ms
x
@inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (+ (* (pow x -2) 2) 2) (pow x -3)) (+ (* (pow x -2) 2) 2) (pow x -2) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* -2 x) 2) (* x (- x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- 2 (/ 2 x)) x) (- 2 (/ 2 x)) (+ (* (+ x 1) -2) x) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) -1) x)) (+ x 1) (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) (+ (* -1 x) 1) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x)) (pow x -3) (- x 1) (* (+ (* x x) -1) x) (/ (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) (neg (* (+ (* x x) -1) x))))
6.0ms
x
@-inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (+ (* (pow x -2) 2) 2) (pow x -3)) (+ (* (pow x -2) 2) 2) (pow x -2) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* -2 x) 2) (* x (- x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- 2 (/ 2 x)) x) (- 2 (/ 2 x)) (+ (* (+ x 1) -2) x) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) -1) x)) (+ x 1) (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) (+ (* -1 x) 1) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x)) (pow x -3) (- x 1) (* (+ (* x x) -1) x) (/ (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) (neg (* (+ (* x x) -1) x))))
3.0ms
x
@0
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (+ (* (pow x -2) 2) 2) (pow x -3)) (+ (* (pow x -2) 2) 2) (pow x -2) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (* -2 x) 2) (* x (- x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- 2 (/ 2 x)) x) (- 2 (/ 2 x)) (+ (* (+ x 1) -2) x) (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (/ (+ (* (+ (* (+ x 1) -2) x) (- x 1)) (+ (* x x) x)) (* (+ (* x x) -1) x)) (+ x 1) (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) (+ (* -1 x) 1) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x)) (pow x -3) (- x 1) (* (+ (* x x) -1) x) (/ (+ (* -1 (+ (* x x) x)) (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x))) (neg (* (+ (* x x) -1) x))))

simplify490.0ms (5.4%)

Memory
-5.8MiB live, 207.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129462
1351426
2975416
33757405
08479387
Stop Event
iter limit
node limit
Counts
62 → 61
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/ 1 (pow x 2))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(* -1 x)
(* x (- x 1))
(/ -2 (pow x 2))
(/ (- (* 2 x) 2) (pow x 2))
(/ (- (* 2 x) 2) x)
-2
(- (* -1 x) 2)
1
(+ 1 x)
(+ 1 (* -1 x))
(- x 2)
(- (* x (+ 1 x)) 2)
(/ 1 (pow x 3))
-1
(- x 1)
(* x (- (pow x 2) 1))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(* -2 x)
(* x (- (* 2 (/ 1 x)) 2))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(- 2 (* 2 (/ 1 x)))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
x
(* x (+ 1 (/ 1 x)))
(* x (- (/ 1 x) 1))
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2))))
(* x (- 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(* -1 (* x (- 1 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 5))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal 2 binary64) x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(fma.f64 x x (neg.f64 x))
(/ -2 (pow x 2))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/ (- (* 2 x) 2) (pow x 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* 2 x) 2) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(- x 2)
(-.f64 x #s(literal 2 binary64))
(- (* x (+ 1 x)) 2)
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal -2 binary64))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 2 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(fma.f64 x x (neg.f64 x))
(- 2 (* 2 (/ 1 x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (- (+ 1 (/ 1 x)) (/ 2 (pow x 2))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal -2 binary64))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* (pow x 2) (+ 1 (* -1 (/ (- (* 2 (/ 1 x)) 1) x))))
(fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal -2 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

rewrite699.0ms (7.7%)

Memory
9.0MiB live, 213.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045285
077281
1390275
23928275
09083270
Stop Event
iter limit
node limit
iter limit
Counts
23 → 767
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)
(fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(+.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))
(pow.f64 x #s(literal -3 binary64))
(-.f64 x #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))))
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(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)))
(*.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x))) (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x))
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) x))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x))
(pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) (neg.f64 (-.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))) (neg.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x x))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x))))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x x))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x)
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (-.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x x))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (-.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x x))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x x))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (-.f64 (neg.f64 (fma.f64 x x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64))) (*.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x x))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x))))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)))))
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) x))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 x x #s(literal -1 binary64))) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x))))) #s(literal -1 binary64)))

eval433.0ms (4.8%)

Memory
-6.9MiB live, 216.4MiB allocated
Compiler

Compiled 35 823 to 3 318 computations (90.7% saved)

prune32.0ms (0.4%)

Memory
-5.8MiB live, 83.2MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1 045121 057
Fresh549
Picked415
Done112
Total1 055181 073
Accuracy
100.0%
Counts
1 073 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.1%
(/.f64 (fma.f64 #s(approx (+ (* (+ x 1) -2) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
19.2%
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) #s(approx (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal -2 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
19.2%
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x)
98.6%
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) (-.f64 x #s(literal 1 binary64)))
98.5%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64))))
98.7%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 (*.f64 x x) x))
98.7%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
97.2%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
97.2%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
52.6%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))
98.4%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
65.6%
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
92.0%
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
98.5%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
5.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64))))
38.9%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- (/ 2 (* x x)) -2) (pow x 3)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))))))
Compiler

Compiled 1 016 to 640 computations (37% saved)

simplify140.0ms (1.5%)

Memory
36.7MiB live, 192.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
cost-diff0
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
cost-diff0
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64))))
cost-diff7040
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
cost-diff0
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
cost-diff0
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
cost-diff0
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
cost-diff0
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
cost-diff0
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
cost-diff-384
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
cost-diff0
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
cost-diff0
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
cost-diff0
#s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))
cost-diff0
(*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64)))
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047453
068445
1123445
2245405
3597404
41585404
56365377
08203374
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64))))
(*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64)))
#s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(literal -2 binary64)
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
x
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
x
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))))
(*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))))
#s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(literal -2 binary64)
(pow.f64 x #s(literal -3 binary64))
#s(literal -3 binary64)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) x) (-.f64 x #s(literal 1 binary64)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
x
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 x x)
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(literal 1 binary64)
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
#s(literal 2 binary64)
(/.f64 #s(literal 2 binary64) x)
x
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)

localize260.0ms (2.9%)

Memory
-0.9MiB live, 361.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.09375
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64))))
accuracy0.09375
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy0.7640804541082632
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
accuracy8.846319360168133
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))
accuracy0.015625
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
accuracy0.109375
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
accuracy0.20316541042729896
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
accuracy0.7640804541082632
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
accuracy0.015625
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
accuracy0.09375
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
accuracy0.7640804541082632
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
accuracy1.702132595555463
#s(approx (* x (- x 1)) (*.f64 x x))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy0.00390625
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.09375
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy60.44123390138629
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
accuracy0
#s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))
accuracy0.02734375
(*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64)))
accuracy0.3684667451993484
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy0.4904819352724657
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64))))
Samples
129.0ms127×2valid
65.0ms124×1valid
1.0ms0valid
Compiler

Compiled 808 to 89 computations (89% saved)

Precisions
Click to see histograms. Total time spent on operations: 145.0ms
ival-mult: 43.0ms (29.7% of total)
ival-div: 37.0ms (25.5% of total)
adjust: 31.0ms (21.4% of total)
ival-add: 16.0ms (11% of total)
ival-sub: 12.0ms (8.3% of total)
ival-pow: 5.0ms (3.5% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-14.8MiB live, 23.2MiB allocated
Counts
20 → 48
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64))))
(*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64)))
#s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(* -1 x)
(* x (- x 1))
-1
(- x 1)
(/ -2 (pow x 2))
(/ (- (* 2 x) 2) (pow x 2))
(/ (- (* 2 x) 2) x)
(* -1/2 x)
(* x (- (* 1/2 (pow x 2)) 1/2))
(* x (- (pow x 2) 1))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
x
(* x (- 1 (/ 1 x)))
(- 2 (* 2 (/ 1 x)))
(* 1/2 (pow x 3))
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/2)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@0
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (+ (* (pow x -2) 2) 2) (pow x -3)) (+ (* (pow x -2) 2) 2) (- (/ 2 (* x x)) -2) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- 2 (/ 2 x)) x) (- 2 (/ 2 x)) (/ 1 (/ (* (- x 1) x) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x))) (/ (* (- x 1) x) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x)) (* (- x 1) x) (/ (* (+ (* x x) -1) x) (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (* (+ (* x x) -1) x) (+ x 1))) (/ 2 (* x x)) (* x (- x 1)) (* (+ (* x x) -1) x))
3.0ms
x
@-inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (+ (* (pow x -2) 2) 2) (pow x -3)) (+ (* (pow x -2) 2) 2) (- (/ 2 (* x x)) -2) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- 2 (/ 2 x)) x) (- 2 (/ 2 x)) (/ 1 (/ (* (- x 1) x) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x))) (/ (* (- x 1) x) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x)) (* (- x 1) x) (/ (* (+ (* x x) -1) x) (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (* (+ (* x x) -1) x) (+ x 1))) (/ 2 (* x x)) (* x (- x 1)) (* (+ (* x x) -1) x))
3.0ms
x
@inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (+ (* (pow x -2) 2) 2) (pow x -3)) (+ (* (pow x -2) 2) 2) (- (/ 2 (* x x)) -2) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1)) (- x 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (- 2 (/ 2 x)) x) (- 2 (/ 2 x)) (/ 1 (/ (* (- x 1) x) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x))) (/ (* (- x 1) x) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x)) (* (- x 1) x) (/ (* (+ (* x x) -1) x) (+ x 1)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (* (+ (* x x) -1) x) (+ x 1))) (/ 2 (* x x)) (* x (- x 1)) (* (+ (* x x) -1) x))

simplify137.0ms (1.5%)

Memory
13.1MiB live, 167.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119411
1302400
2847375
32345356
47733356
08069346
Stop Event
iter limit
node limit
Counts
48 → 47
Calls
Call 1
Inputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(* -1 x)
(* x (- x 1))
-1
(- x 1)
(/ -2 (pow x 2))
(/ (- (* 2 x) 2) (pow x 2))
(/ (- (* 2 x) 2) x)
(* -1/2 x)
(* x (- (* 1/2 (pow x 2)) 1/2))
(* x (- (pow x 2) 1))
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ 2 x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
x
(* x (- 1 (/ 1 x)))
(- 2 (* 2 (/ 1 x)))
(* 1/2 (pow x 3))
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/2)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ 2 (pow x 5))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))) x)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(+ 2 (* x (- (* 2 x) 2)))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(/ -2 (pow x 2))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/ (- (* 2 x) 2) (pow x 2))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (* 2 x) 2) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (* 1/2 (pow x 2)) 1/2))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 2 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (* 2 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(- 2 (* 2 (/ 1 x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(* 1/2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(* (pow x 3) (- 1/2 (* 1/2 (/ 1 (pow x 2)))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (+.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* 2 (/ 1 x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) x) #s(literal -2 binary64)) x)
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (* 1/2 (/ 1 (pow x 2))) 1/2)))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

rewrite225.0ms (2.5%)

Memory
2.5MiB live, 286.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047335
068327
1322323
22871323
08918301
Stop Event
iter limit
node limit
iter limit
Counts
20 → 733
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64))))
(*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64)))
#s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(approx (+ (* (pow x -2) 2) 2) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 (*.f64 #s(approx (+ (* (pow x -2) 2) 2) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(approx (+ (* (pow x -2) 2) 2) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(approx (+ (* (pow x -2) 2) 2) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 #s(approx (+ (* (pow x -2) 2) 2) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x #s(literal -3 binary64)))
#s(approx (+ (* (pow x -2) 2) 2) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64))))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 4 binary64))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 4 binary64))))))
(/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -4 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 4 binary64)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -4 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (+.f64 (/.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 4 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal -2 binary64))))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)))))
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(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
#s(approx (* x (- x 1)) (*.f64 x x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (*.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 x #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.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 (neg.f64 x) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (*.f64 x #s(literal -1 binary64)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) x (*.f64 x #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) x (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (*.f64 x x) (*.f64 x #s(literal -1 binary64)))
(fma.f64 x (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(+.f64 (*.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(+.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))

eval103.0ms (1.1%)

Memory
-17.1MiB live, 170.7MiB allocated
Compiler

Compiled 37 253 to 2 638 computations (92.9% saved)

prune29.0ms (0.3%)

Memory
34.5MiB live, 73.3MiB allocated
Pruning

20 alts after pruning (17 fresh and 3 done)

PrunedKeptTotal
New8788886
Fresh2911
Picked415
Done022
Total88420904
Accuracy
100.0%
Counts
904 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.1%
(/.f64 (fma.f64 #s(approx (+ (* (+ x 1) -2) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
19.2%
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) #s(approx (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal -2 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
19.2%
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x)
98.6%
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) (-.f64 x #s(literal 1 binary64)))
52.2%
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) x)
98.5%
(/.f64 (*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
48.6%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))) #s(approx (* x (- x 1)) (*.f64 x x)))
98.7%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 (*.f64 x x) x))
98.7%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
97.2%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
97.2%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
52.6%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
97.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (- x 1)) (*.f64 x x)) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
98.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (-.f64 x #s(literal 1 binary64))))
65.6%
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
92.0%
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
98.5%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (neg.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
98.5%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
5.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
39.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (* (+ (* (pow x -2) 2) 2) (pow x -3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))
Compiler

Compiled 1 869 to 573 computations (69.3% saved)

regimes27.0ms (0.3%)

Memory
-9.0MiB live, 38.8MiB allocated
Counts
45 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) x)
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(approx (+ (* (+ x 1) -2) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 (*.f64 x x) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) #s(approx (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal -2 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (neg.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (- x 1)) (*.f64 x x)) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(/.f64 (*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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)))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (* (+ (* (pow x -2) 2) 2) (pow x -3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- (/ 2 (* x x)) -2) (pow x 3)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (*.f64 x x)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal -3 binary64))))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64))))
Calls

2 calls:

12.0ms
x
9.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.2%1x
99.2%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes26.0ms (0.3%)

Memory
-1.1MiB live, 36.2MiB allocated
Counts
41 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) x)
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(approx (+ (* (+ x 1) -2) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 (*.f64 x x) x))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) #s(approx (* (+ (* -1 x) 1) (+ (* (+ x 1) -2) x)) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal -2 binary64)))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 (fma.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) (neg.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (* x (- x 1)) (*.f64 x x)) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(/.f64 (+.f64 (fma.f64 x x x) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))))
(/.f64 (*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (+.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 (/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)) (fma.f64 x x x)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) x)
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x))) (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 x #s(literal -2 binary64))) (*.f64 x (*.f64 (neg.f64 x) x)))) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.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)))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (* (+ (* (pow x -2) 2) 2) (pow x -3)) (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) #s(approx (/ (- (/ 2 (* x x)) -2) (pow x 3)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))))))
Outputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 (*.f64 x x) x))
Calls

2 calls:

13.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
11.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes12.0ms (0.1%)

Memory
-23.5MiB live, 14.0MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) x)
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(approx (+ (* (+ x 1) -2) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
Outputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
Calls

2 calls:

8.0ms
x
3.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.7%1x
98.7%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes7.0ms (0.1%)

Memory
13.2MiB live, 13.2MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) x)
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(approx (+ (* (+ x 1) -2) x) (-.f64 #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
Calls

2 calls:

4.0ms
x
3.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
97.2%1x
97.2%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes5.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) x)
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Calls

2 calls:

3.0ms
x
2.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
65.6%1x
65.6%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

Memory
8.5MiB live, 8.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) x)
Outputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
52.6%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
52.6%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes6.0ms (0.1%)

Memory
-32.3MiB live, 5.6MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

5.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
1.0ms
x
Results
AccuracySegmentsBranch
5.0%1x
5.0%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify27.0ms (0.3%)

Memory
0.4MiB live, 44.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049191
163191
278191
391191
496191
597191
Stop Event
saturated
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 (*.f64 x x) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 x #s(literal -3 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(approx (+ (* (pow x -2) 2) 2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (-.f64 (*.f64 x x) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

soundness1.4s (14.9%)

Memory
46.1MiB live, 901.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0119411
1302400
2847375
32345356
47733356
08069346
099363
1260343
2673322
32160309
46993309
08277303
01032
01732
19432
2109532
0850829
045285
077281
1390275
23928275
09083270
040252
066246
1304233
22848233
09495216
0129462
1351426
2975416
33757405
08479387
0149506
1411482
21069456
33433443
08295428
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 438 to 206 computations (53% saved)

preprocess52.0ms (0.6%)

Memory
5.3MiB live, 83.1MiB allocated
Remove

(negabs x)

Compiler

Compiled 780 to 378 computations (51.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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