3frac (problem 3.3.3)

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze4.0ms (0%)

Memory
16.2MiB live, 16.2MiB allocated; 0ms collecting garbage
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)

sample2.8s (36.2%)

Memory
78.7MiB live, 2 510.3MiB allocated; 1.5s collecting garbage
Samples
2.1s7 165×1valid
266.0ms839×2valid
37.0ms252×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
adjust: 495.0ms (34.8% of total)
ival-div: 401.0ms (28.2% of total)
ival-add: 239.0ms (16.8% of total)
ival-sub: 206.0ms (14.5% of total)
ival-fabs: 50.0ms (3.5% of total)
ival->: 21.0ms (1.5% of total)
exact: 9.0ms (0.6% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

explain263.0ms (3.4%)

Memory
6.3MiB live, 198.6MiB allocated; 57ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
960-0-(+.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))))cancellation960
Confusion
Predicted +Predicted -
+960
-0160
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+9600
-00160
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0160
196
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
113.0ms426×1valid
13.0ms56×2valid
2.0ms30×0valid
Compiler

Compiled 111 to 34 computations (69.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 106.0ms
ival-div: 40.0ms (37.7% of total)
ival-add: 33.0ms (31.1% of total)
adjust: 23.0ms (21.7% of total)
ival-sub: 9.0ms (8.5% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess38.0ms (0.5%)

Memory
-31.7MiB live, 13.2MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01237
12435
23535
33635
43835
54235
64835
75134
85334
95634
105734
01015
01715
12415
22615
32715
42915
53015
63215
03215
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 #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)))
Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.3%
(+.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)

simplify4.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated; 0ms collecting garbage
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
12446
22646
32746
42946
53046
63246
03246
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 #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 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))

localize85.0ms (1.1%)

Memory
-9.7MiB live, 80.0MiB allocated; 20ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0234375
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
accuracy21.54267232316014
(+.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
36.0ms213×1valid
29.0ms28×2valid
1.0ms15×0valid
Compiler

Compiled 48 to 12 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 54.0ms
ival-add: 27.0ms (50.3% of total)
adjust: 12.0ms (22.4% of total)
ival-div: 10.0ms (18.6% of total)
ival-sub: 4.0ms (7.5% 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
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
5 → 37
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))
(-.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)
-1
(- x 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))
(/ -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)))
(* 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))
(* -1 (* x (- (/ 1 x) 1)))
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) (- x 1))
1.0ms
x
@-inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (+ 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) (- x 1))

simplify142.0ms (1.8%)

Memory
29.1MiB live, 131.3MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0102379
1275363
2813346
33318340
08346336
Stop Event
iter limit
node limit
Counts
37 → 36
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)
-1
(- x 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))
(/ -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)))
(* 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))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(-.f64 (*.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(-.f64 (*.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) x) (/.f64 #s(literal 2 binary64) x))
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #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)))
(fma.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))) x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(/ 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) (/.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))) (+ (* 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 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ 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 #s(literal 1 binary64) x) x) x) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) x)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* x (- 1 (/ 1 x)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.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)))
(* -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 -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 (neg.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 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) 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 #s(literal -1 binary64) x) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (* x (- (/ 1 x) 1)))
(+.f64 #s(literal -1 binary64) x)

rewrite234.0ms (3%)

Memory
-35.3MiB live, 218.1MiB allocated; 66ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01035
01735
18335
279435
0821632
Stop Event
iter limit
node limit
iter limit
Counts
5 → 268
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))
(-.f64 x #s(literal 1 binary64))
Outputs
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (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 -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (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 -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 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 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #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))))) #s(literal 3 binary64)) (pow.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))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #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 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #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))))) (fma.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 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 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #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 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 (+.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (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 -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (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 -3 binary64)) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (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)))) (neg.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))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)))) (neg.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 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (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)))) (neg.f64 (+.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))))))))
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(/.f64 (neg.f64 (neg.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))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (-.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)))))) (neg.f64 (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (-.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)))))) (neg.f64 (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))))
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(-.f64 x #s(literal 1 binary64))

eval36.0ms (0.5%)

Memory
28.6MiB live, 73.3MiB allocated; 6ms collecting garbage
Compiler

Compiled 11 425 to 1 305 computations (88.6% saved)

prune17.0ms (0.2%)

Memory
-25.6MiB live, 33.6MiB allocated; 10ms collecting garbage
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New28614300
Fresh000
Picked011
Done000
Total28615301
Accuracy
99.2%
Counts
301 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(/.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))))
19.0%
(/.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))))
20.4%
(/.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)))
66.4%
(/.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))
17.5%
(+.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
17.5%
(+.f64 (-.f64 (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
21.3%
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) #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))))
66.3%
(+.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))))
3.2%
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) #s(approx (- x 1) #s(literal -1 binary64))))
3.5%
(+.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))))
65.1%
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
64.8%
(+.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))))
98.5%
#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))))
98.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
5.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Compiler

Compiled 633 to 378 computations (40.3% saved)

simplify106.0ms (1.4%)

Memory
27.4MiB live, 163.1MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff2
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
cost-diff2
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
cost-diff3
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff4
(/.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))))
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-diff1
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff3
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff4
(/.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-diff0
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
cost-diff0
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) 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 #s(literal 2 binary64) (*.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
040312
066302
1130302
2374273
32064265
08722254
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
(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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (-.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
(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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 #s(literal 1 binary64) (-.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 (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (*.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 1 binary64)) (+.f64 x #s(literal 1 binary64))) (-.f64 #s(literal -2 binary64) x) x)
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 2 binary64) x) (-.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))
#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 (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (*.f64 (-.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)))
(fma.f64 (-.f64 #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x 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))
#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 (fma.f64 x x #s(literal -1 binary64)) x)

localize312.0ms (4%)

Memory
-11.6MiB live, 359.1MiB allocated; 128ms collecting garbage
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy0.109375
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
accuracy0.5339696853688729
(/.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))))
accuracy60.90267254011901
(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)))
accuracy0.0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.0
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy0.13671875
(/.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))))
accuracy59.35322125523398
(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)
accuracy0.0
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy0.0078125
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
accuracy0.7672708015833837
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
accuracy21.54267232316014
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy0.0
(/.f64 #s(literal -2 binary64) x)
accuracy60.72939247909941
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
accuracy0.0
(*.f64 x x)
accuracy0.40149822565195104
#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))))
accuracy0.5339696853688729
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
accuracy0.9672063242727907
(/.f64 #s(literal 2 binary64) (*.f64 x x))
Samples
173.0ms139×2valid
85.0ms114×1valid
1.0ms0valid
Compiler

Compiled 286 to 37 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 195.0ms
adjust: 60.0ms (30.8% of total)
ival-div: 54.0ms (27.7% of total)
ival-mult: 36.0ms (18.5% of total)
ival-add: 31.0ms (15.9% of total)
ival-sub: 8.0ms (4.1% of total)
ival-pow: 4.0ms (2.1% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (0.5%)

Memory
-29.8MiB live, 26.7MiB allocated; 40ms collecting garbage
Counts
20 → 57
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(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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.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 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (+.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 (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) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(*.f64 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)))
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))
(/ (- 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)
(* x (- (pow x 2) 1))
(pow x 2)
(* x (- x 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 (/ 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)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 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 (/ (- (* 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 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (+ (/ 2 (* x x)) 2) (pow x 3)) (+ (/ 2 (* x x)) 2) (/ 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 (/ 1 x)) x) (- -1 (/ 1 x)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) 1) (* (* (+ x 1) x) (- x 1)) (* x x) (* x (- x 1)) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)))
4.0ms
x
@0
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (+ (/ 2 (* x x)) 2) (pow x 3)) (+ (/ 2 (* x x)) 2) (/ 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 (/ 1 x)) x) (- -1 (/ 1 x)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) 1) (* (* (+ x 1) x) (- x 1)) (* x x) (* x (- x 1)) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)))
4.0ms
x
@-inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (+ (/ 2 (* x x)) 2) (pow x 3)) (+ (/ 2 (* x x)) 2) (/ 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 (/ 1 x)) x) (- -1 (/ 1 x)) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (* x (- x 1))) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)) (* (* (+ x 1) x) (- x 1))) (* (* (+ x 1) x) 1) (* (* (+ x 1) x) (- x 1)) (* x x) (* x (- x 1)) (+ (* (- x (* 2 (+ x 1))) (- x 1)) (* (* (+ x 1) x) 1)))

simplify171.0ms (2.2%)

Memory
13.0MiB live, 248.2MiB allocated; 52ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146510
1420492
21331467
35821464
08242450
Stop Event
iter limit
node limit
Counts
57 → 56
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))
(/ (- 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)
(* x (- (pow x 2) 1))
(pow x 2)
(* x (- x 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 (/ 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)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 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 (/ (- (* 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 (* (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 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal 2 binary64)) x) x) #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 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) x))
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (/.f64 #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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 x) 1) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
x
(* x (+ 1 x))
(fma.f64 x x x)
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* x (- x 1))
(*.f64 (-.f64 x #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 #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 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))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) 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 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (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)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #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)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #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 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x) #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))

rewrite180.0ms (2.3%)

Memory
38.0MiB live, 269.5MiB allocated; 40ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040244
066238
1279225
22386225
08377213
Stop Event
iter limit
node limit
iter limit
Counts
20 → 742
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(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 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.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 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (+.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 (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) #s(literal 1 binary64))
(*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(*.f64 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)))
Outputs
#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) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x))) x)
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3/2 binary64)))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x)
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 9 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (*.f64 x x)) x)
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x))
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(fma.f64 x (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (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 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.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 (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 (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 (pow.f64 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (+.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 (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))) (neg.f64 (fma.f64 x x x)))))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (+.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 (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))) (neg.f64 (fma.f64 x x x)))))))
(-.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 (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 (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x x)))
(-.f64 (fma.f64 x x x) (*.f64 (neg.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (fma.f64 x x x) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x)))
(+.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 3 binary64)) (fma.f64 (fma.f64 x x x) (-.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)))) (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 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (fma.f64 (fma.f64 x x x) (-.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)))) (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))) (*.f64 (neg.f64 (neg.f64 (fma.f64 x x x))) #s(literal 1 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 x) (*.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64))))

eval131.0ms (1.7%)

Memory
-14.6MiB live, 171.9MiB allocated; 41ms collecting garbage
Compiler

Compiled 32 199 to 2 833 computations (91.2% saved)

prune45.0ms (0.6%)

Memory
7.7MiB live, 54.6MiB allocated; 4ms collecting garbage
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New87611887
Fresh819
Picked415
Done011
Total88814902
Accuracy
100.0%
Counts
902 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(/.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))))
66.4%
(/.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))))
20.4%
(/.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))))
48.6%
(/.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))))
98.6%
(/.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))))
97.9%
(/.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))))
66.3%
(+.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))))
64.8%
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(approx (- -1 (/ 1 x)) #s(literal -1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (*.f64 x x)) x))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x)))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))
98.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
5.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
34.6%
#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 700 to 431 computations (38.4% saved)

simplify217.0ms (2.8%)

Memory
0.3MiB live, 148.2MiB allocated; 64ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))
cost-diff0
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x)
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x)))
cost-diff2
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x))
cost-diff0
#s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x))
cost-diff0
(/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(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)
cost-diff4
(/.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))))
cost-diff0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x))
cost-diff0
(/.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))))
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
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))
cost-diff2
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x)
cost-diff4
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040375
062383
1120353
2260334
3710316
41882316
54692316
09220311
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 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x)
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)
(/.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 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.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))))
(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 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64)))
#s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x)
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))
#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 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x)
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)
(/.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 #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))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
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 (/.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 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(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 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64)))
#s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(+.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)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x)))
#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 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) 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)) x)
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)

localize347.0ms (4.5%)

Memory
4.2MiB live, 243.4MiB allocated; 30ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.015625
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x)
accuracy0.12890625
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x))
accuracy0.12890625
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
accuracy0.40149822565195104
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x)))
accuracy0.0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.0
#s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x))
accuracy0.13671875
(/.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))))
accuracy59.35322125523398
(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)
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.13671875
(/.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))))
accuracy1.200186268485688
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.13671875
(/.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))))
accuracy62.99991339354723
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)))
accuracy0.0859375
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x)
accuracy0.09765625
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x))
accuracy0.12890625
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
accuracy0.40149822565195104
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))
Samples
175.0ms139×2valid
104.0ms114×1valid
1.0ms0valid
Compiler

Compiled 314 to 31 computations (90.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 203.0ms
ival-sub: 65.0ms (32% of total)
ival-add: 49.0ms (24.1% of total)
ival-div: 38.0ms (18.7% of total)
adjust: 38.0ms (18.7% of total)
ival-mult: 13.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated; 0ms collecting garbage
Counts
21 → 54
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(/.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 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 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))))
(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 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64)))
#s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x)
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(-.f64 x #s(literal 1 binary64))
Outputs
(/ 2 (pow x 4))
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ -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 (* 2 (pow x 2))) (pow x 4))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(* -1 x)
(* x (- x 1))
(/ 2 x)
-2
(- x 2)
(- (* x (+ 1 (* -1 x))) 2)
(- (* x (+ 1 (* x (- x 1)))) 2)
(- (* -1 x) 2)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
-1
(- x 1)
(/ (+ 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)))) (pow x 2))
(/ (- 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)))
(* -1 (+ 1 (/ 1 x)))
(- (/ 1 (pow x 2)) (+ 1 (/ 1 x)))
(- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(+ 2 (* 2 (/ 1 (pow x 2))))
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 (/ (- (* 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 (/ (- 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) 1)
(* -1 (* x (- (/ 1 x) 1)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
((/ (/ (/ 2 x) x) (* x x)) (/ (+ (/ (/ (/ 2 x) x) (* x x)) (/ (/ 2 x) x)) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (+ (/ (/ (/ 2 x) x) (* x x)) (/ (/ 2 x) x)) (/ (+ (* (/ (- 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 x) (/ (+ (* (/ (- 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 (* 2 (+ x 1))) (/ (/ (+ (/ (/ 2 x) x) 2) x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (+ (/ (/ 2 x) x) 2) x) (+ (/ (/ 2 x) x) 2) (/ (/ 2 x) x) (- x 1))
2.0ms
x
@-inf
((/ (/ (/ 2 x) x) (* x x)) (/ (+ (/ (/ (/ 2 x) x) (* x x)) (/ (/ 2 x) x)) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (+ (/ (/ (/ 2 x) x) (* x x)) (/ (/ 2 x) x)) (/ (+ (* (/ (- 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 x) (/ (+ (* (/ (- 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 (* 2 (+ x 1))) (/ (/ (+ (/ (/ 2 x) x) 2) x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (+ (/ (/ 2 x) x) 2) x) (+ (/ (/ 2 x) x) 2) (/ (/ 2 x) x) (- x 1))
2.0ms
x
@inf
((/ (/ (/ 2 x) x) (* x x)) (/ (+ (/ (/ (/ 2 x) x) (* x x)) (/ (/ 2 x) x)) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (+ (/ (/ (/ 2 x) x) (* x x)) (/ (/ 2 x) x)) (/ (+ (* (/ (- 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 x) (/ (+ (* (/ (- 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 (* 2 (+ x 1))) (/ (/ (+ (/ (/ 2 x) x) 2) x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (+ (/ (/ 2 x) x) 2) x) (+ (/ (/ 2 x) x) 2) (/ (/ 2 x) x) (- x 1))

simplify185.0ms (2.4%)

Memory
-18.0MiB live, 124.1MiB allocated; 16ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126493
1356483
21123454
35074448
08197435
Stop Event
iter limit
node limit
Counts
54 → 53
Calls
Call 1
Inputs
(/ 2 (pow x 4))
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ -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 (* 2 (pow x 2))) (pow x 4))
2
(+ 2 (* -2 x))
(+ 2 (* x (- (* 2 x) 2)))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(* -1 x)
(* x (- x 1))
(/ 2 x)
-2
(- x 2)
(- (* x (+ 1 (* -1 x))) 2)
(- (* x (+ 1 (* x (- x 1)))) 2)
(- (* -1 x) 2)
(/ 2 (pow x 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ 2 (pow x 2))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
-1
(- x 1)
(/ (+ 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)))) (pow x 2))
(/ (- 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)))
(* -1 (+ 1 (/ 1 x)))
(- (/ 1 (pow x 2)) (+ 1 (/ 1 x)))
(- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3)))))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(+ 2 (* 2 (/ 1 (pow x 2))))
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 (/ (- (* 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 (/ (- 1 (/ 1 x)) x)) 1)
(- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) 1)
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ 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 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 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 (-.f64 (*.f64 (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal 2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))
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)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #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)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
-2
#s(literal -2 binary64)
(- x 2)
(-.f64 x #s(literal 2 binary64))
(- (* x (+ 1 (* -1 x))) 2)
(-.f64 x (fma.f64 x x #s(literal 2 binary64)))
(- (* x (+ 1 (* x (- x 1)))) 2)
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x (-.f64 x #s(literal 2 binary64)))
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 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) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 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 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x) 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 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)
(/ (- (+ 2 (/ 2 (pow x 2))) (+ (* 2 (/ 1 x)) (* 2 (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 2 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
(* -1 (+ 1 (/ 1 x)))
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (/ 1 (pow x 2)) (+ 1 (/ 1 x)))
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal 1 binary64))
(- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3)))))
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x)
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))
x
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (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 -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64))) (pow.f64 (neg.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 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 x)) 2) x)) 2) x)) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x)) x)
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))
(- (* -1 (/ (- 1 (/ 1 x)) x)) 1)
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) #s(literal 1 binary64))
(- (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)) 1)
(-.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal -1 binary64)) x) #s(literal 1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))

rewrite204.0ms (2.6%)

Memory
-6.9MiB live, 174.9MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040322
062330
1277300
22533298
08448284
Stop Event
iter limit
node limit
iter limit
Counts
21 → 433
Calls
Call 1
Inputs
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(/.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 #s(literal 2 binary64) x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 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))))
(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 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 x #s(literal 1 binary64)))
#s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x)))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x)
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(-.f64 x #s(literal 1 binary64))
Outputs
(/.f64 (neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (fabs.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x)) x)
(/.f64 (fabs.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) x)
(/.f64 (fabs.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) x)
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))
(/.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x)
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (fabs.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (fabs.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 x (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 2 binary64) (*.f64 x (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x)))
(sqrt.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x)))
(fabs.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(fabs.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64)) x) x)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) x (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64)) x) x) (neg.f64 x))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 9 binary64)))) (+.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x) x)))
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) x)))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) x)) x)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) x (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x) x))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) x))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64)) x) (*.f64 (neg.f64 x) x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x)) (neg.f64 x))
(/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) x)) x) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x))
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x) x)
(neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64)) x) (*.f64 x x)))
(neg.f64 (/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x)) x))
(neg.f64 (/.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x) (neg.f64 x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x) x)) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x) x)))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 4 binary64) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(-.f64 (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x)) x) (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) x)) x))
(+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal 4 binary64))) (/.f64 #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 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x) (/.f64 #s(literal -2 binary64) x)) (neg.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x)) (neg.f64 x))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) x)) x) (*.f64 x x))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (-.f64 #s(literal 4 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 x) (*.f64 x (/.f64 #s(literal -2 binary64) x)))) (*.f64 x x))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x (*.f64 x (/.f64 #s(literal 2 binary64) x)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x) (*.f64 x #s(literal 2 binary64)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (neg.f64 x) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -2 binary64) x)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) x)))) (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) x)))
(/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (neg.f64 x) (*.f64 (*.f64 x x) (/.f64 #s(literal -2 binary64) x)))) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 x x) #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal -2 binary64) x)))) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 2 binary64) x)))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x (/.f64 #s(literal 2 binary64) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 x #s(literal 5 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) x (*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))))) (*.f64 x x))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
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(-.f64 (/.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) x) (/.f64 (/.f64 #s(literal 4 binary64) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) x))
(+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x))
(+.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 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 (/.f64 #s(literal 2 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 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 (/.f64 #s(literal 2 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))) (neg.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)) (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 #s(literal 4 binary64) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))) (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 8 binary64) (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x))
(/.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) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(sqrt.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(fabs.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(*.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.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 x x) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x)))
(expm1.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1 binary64) x)) (exp.f64 (neg.f64 (log1p.f64 x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (+.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (+.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))

eval82.0ms (1.1%)

Memory
26.5MiB live, 129.4MiB allocated; 22ms collecting garbage
Compiler

Compiled 22 270 to 1 967 computations (91.2% saved)

prune22.0ms (0.3%)

Memory
11.0MiB live, 55.7MiB allocated; 4ms collecting garbage
Pruning

21 alts after pruning (17 fresh and 4 done)

PrunedKeptTotal
New57813591
Fresh347
Picked325
Done022
Total58421605
Accuracy
100.0%
Counts
605 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(/.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))))
66.4%
(/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
66.4%
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)) x) x) (-.f64 x #s(literal 1 binary64)))
97.9%
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64))) x)
20.4%
(/.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))))
66.4%
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
98.6%
(/.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 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)))
97.9%
(/.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))))
98.6%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
48.7%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (neg.f64 x)))
50.4%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
66.3%
(+.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))))
88.7%
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) x) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
42.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
51.5%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) x))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (*.f64 x x)) x))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x)))
41.9%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(approx (+ (/ (/ (/ 2 x) x) (* x x)) (/ (/ 2 x) x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
98.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
5.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Compiler

Compiled 1 125 to 670 computations (40.4% saved)

simplify97.0ms (1.2%)

Memory
2.6MiB live, 95.5MiB allocated; 8ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff1
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
cost-diff2
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x)
cost-diff4
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
cost-diff8
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)))
cost-diff1
(-.f64 (*.f64 x x) #s(literal 1 binary64))
cost-diff1
(*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x)
cost-diff4
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 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 #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 #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 (/.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)) x)
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x)))
cost-diff3
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047435
074403
1151391
2501341
32702337
47988337
08015324
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 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x)))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(+.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
(/.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)) (*.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 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x)
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(*.f64 x x)
(*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal 2 binary64)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) x)
(+.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
(/.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)) (*.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 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)))
(/.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))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x)
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x)
(/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 2 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(*.f64 x x)
(*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 (neg.f64 x) x)
(neg.f64 x)
#s(literal 2 binary64)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))

localize266.0ms (3.4%)

Memory
-24.8MiB live, 401.3MiB allocated; 46ms collecting garbage
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.15300751953688405
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
accuracy0.40149822565195104
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
accuracy27.74977087715283
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
accuracy45.69767364528088
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
accuracy0.11328125
(*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x)
accuracy0.13671875
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)))
accuracy1.200186268485688
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x))
accuracy9.785853282587295
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x))
accuracy0.00390625
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)
accuracy0.00390625
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
accuracy0.13671875
(/.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))))
accuracy0.7659931327826583
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.0
(*.f64 x (-.f64 x #s(literal 1 binary64)))
accuracy0.13671875
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
accuracy61.44076748566681
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64))
accuracy0.015625
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
accuracy0.12890625
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x))
accuracy0.40149822565195104
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x)))
accuracy0.9672063242727907
(/.f64 #s(literal 2 binary64) (*.f64 x x))
Samples
140.0ms139×2valid
75.0ms114×1valid
1.0ms0valid
Compiler

Compiled 371 to 42 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 163.0ms
ival-div: 59.0ms (36.2% of total)
adjust: 47.0ms (28.9% of total)
ival-mult: 29.0ms (17.8% of total)
ival-add: 14.0ms (8.6% of total)
ival-sub: 12.0ms (7.4% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-0.6MiB live, 39.9MiB allocated; 10ms collecting garbage
Counts
23 → 55
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(+.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) #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))
(*.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) (/.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))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 x 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 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x)
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
Outputs
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ -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 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ 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)
(* x (- (pow x 2) 1))
(- (pow x 2) 1)
-2
(- (* -2 (pow x 2)) 2)
(* -1 (pow x 4))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 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 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ (- 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)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (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 (pow x 2)) 1)))
Calls

3 calls:

TimeVariablePointExpression
11.0ms
x
@-inf
((/ (/ (+ (/ 2 (* x x)) 2) x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (+ (/ 2 (* x x)) 2) x) (+ (/ 2 (* x x)) 2) (/ (+ (* (/ (- 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 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 x) 1) x) (+ 1 x)) (* (- (* x x) 1) x) (- (* x x) 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (* (- (* x x) 1) x) (+ 1 x))) (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (* (* (neg x) x) (* x x)) (/ (/ (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (* (* (neg x) x) (* x x))) x) (/ (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (* (* (neg x) x) (* x x))) (/ 2 (* x x)) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))))
3.0ms
x
@0
((/ (/ (+ (/ 2 (* x x)) 2) x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (+ (/ 2 (* x x)) 2) x) (+ (/ 2 (* x x)) 2) (/ (+ (* (/ (- 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 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 x) 1) x) (+ 1 x)) (* (- (* x x) 1) x) (- (* x x) 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (* (- (* x x) 1) x) (+ 1 x))) (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (* (* (neg x) x) (* x x)) (/ (/ (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (* (* (neg x) x) (* x x))) x) (/ (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (* (* (neg x) x) (* x x))) (/ 2 (* x x)) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))))
3.0ms
x
@inf
((/ (/ (+ (/ 2 (* x x)) 2) x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (+ (/ 2 (* x x)) 2) x) (+ (/ 2 (* x x)) 2) (/ (+ (* (/ (- 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 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 x) 1) x) (+ 1 x)) (* (- (* x x) 1) x) (- (* x x) 1) (/ (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/ (* (- (* x x) 1) x) (+ 1 x))) (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (* (* (neg x) x) (* x x)) (/ (/ (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (* (* (neg x) x) (* x x))) x) (/ (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (* (* (neg x) x) (* x x))) (/ 2 (* x x)) (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))))

simplify208.0ms (2.7%)

Memory
9.9MiB live, 192.6MiB allocated; 129ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0113490
1300486
2989453
34768453
08152438
Stop Event
iter limit
node limit
Counts
55 → 54
Calls
Call 1
Inputs
(/ 2 (pow x 5))
(/ (+ 2 (* 2 (pow x 2))) (pow x 5))
(/ -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 3))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/ 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)
(* x (- (pow x 2) 1))
(- (pow x 2) 1)
-2
(- (* -2 (pow x 2)) 2)
(* -1 (pow x 4))
(/ 2 (pow x 4))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(/ (+ 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 x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(+ 2 (* 2 (/ 1 (pow x 2))))
(/ (- 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)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (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 (pow x 2)) 1)))
Outputs
(/ 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 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 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(fma.f64 (-.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64)) x) x) #s(literal 2 binary64)) x (/.f64 #s(literal -2 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 3))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) x)
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/ (+ 2 (* 2 (pow x 2))) (pow x 2))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64))
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 (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) x #s(literal 2 binary64))
(+ 2 (* x (- (* x (+ 2 (* -2 x))) 2)))
(fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) x) #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 #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))
(* x (- (pow x 2) 1))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
-2
#s(literal -2 binary64)
(- (* -2 (pow x 2)) 2)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(* -1 (pow x 4))
(neg.f64 (pow.f64 x #s(literal 4 binary64)))
(/ 2 (pow x 4))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))
(/ (+ 2 (* 2 (pow x 2))) (pow x 4))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) 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) (/.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))) (+ (* 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 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) x)
(+ 2 (* 2 (/ 1 (pow x 2))))
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64))
(/ (- 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 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) 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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) x)
x
(* x (- 1 (/ 1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(- 2 (* 2 (/ 1 x)))
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) x)
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (-.f64 #s(literal 2 binary64) (/.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)))
(* -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 -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64))) (pow.f64 (neg.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 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x) #s(literal 2 binary64)) (neg.f64 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)) (neg.f64 x)) #s(literal 2 binary64)) (neg.f64 x))
(* -1 (* x (- (/ 1 x) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))

rewrite161.0ms (2.1%)

Memory
30.0MiB live, 175.4MiB allocated; 24ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047375
074369
1309343
22805327
08397308
Stop Event
iter limit
node limit
iter limit
Counts
23 → 604
Calls
Call 1
Inputs
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x)))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(+.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) #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))
(*.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) (/.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))
(/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x)
(-.f64 (*.f64 x 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 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))
(/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x)
(/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
Outputs
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64)) x) x)) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) x)
(/.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64)) x) x) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)) (neg.f64 x))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 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 8 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)))) (*.f64 (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 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 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64)) x) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64)) x) (*.f64 x x)))
(-.f64 (/.f64 (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 4 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 -4 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))) (/.f64 (/.f64 #s(literal 4 binary64) (-.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) (pow.f64 x #s(literal 3 binary64))) x) x) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal 8 binary64) (*.f64 (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 8 binary64) (*.f64 (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 8 binary64) (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x)))
(+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (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 (neg.f64 (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x))))))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (neg.f64 x) (*.f64 x #s(literal -2 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x (*.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64)))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x))
(/.f64 (+.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) #s(literal -2 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))) (neg.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (*.f64 (+.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) x)))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (neg.f64 x) (*.f64 x #s(literal -2 binary64))) (*.f64 (neg.f64 x) x))
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(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x) x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x) x (*.f64 x (*.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(+.f64 (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (/.f64 (/.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x) x) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 x (*.f64 x x)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(*.f64 (/.f64 x x) (/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 x (*.f64 (neg.f64 x) x)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 x (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 x #s(literal 2 binary64)) x))
(*.f64 (/.f64 (*.f64 x x) x) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (*.f64 (neg.f64 x) x) x))
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (neg.f64 x) (/.f64 (*.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (/.f64 (*.f64 (neg.f64 x) x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) x)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))) (*.f64 x x))
(/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) x)
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 x (*.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x))
(/.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) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(sqrt.f64 (/.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(fabs.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) x))

eval83.0ms (1.1%)

Memory
-17.4MiB live, 113.6MiB allocated; 17ms collecting garbage
Compiler

Compiled 28 064 to 2 522 computations (91% saved)

prune52.0ms (0.7%)

Memory
2.0MiB live, 57.6MiB allocated; 13ms collecting garbage
Pruning

23 alts after pruning (16 fresh and 7 done)

PrunedKeptTotal
New6748682
Fresh4812
Picked235
Done044
Total68023703
Accuracy
100.0%
Counts
703 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
66.4%
(/.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))))
66.4%
(/.f64 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
66.4%
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)) x) x) (-.f64 x #s(literal 1 binary64)))
97.9%
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64))) x)
49.1%
(/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))) x)
20.4%
(/.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))))
66.4%
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
97.2%
(/.f64 (*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
51.0%
(/.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 (neg.f64 x) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
98.6%
(/.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))))
97.9%
(/.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))))
98.6%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
48.7%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (neg.f64 x)))
50.4%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
50.4%
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) #s(literal 2 binary64)) #s(approx (* x (- x 1)) (*.f64 x x)))
66.3%
(+.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))))
88.8%
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (+.f64 #s(literal 1 binary64) x))
42.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))) x))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x)))
42.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
41.4%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
98.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
5.1%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Compiler

Compiled 2 042 to 641 computations (68.6% saved)

regimes27.0ms (0.3%)

Memory
-4.6MiB live, 38.7MiB allocated; 6ms collecting garbage
Counts
47 → 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) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (neg.f64 x)))
(/.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 (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (*.f64 x 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 (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(approx (- -1 (/ 1 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 #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 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) #s(approx (- x 1) #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 (-.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 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.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))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x)))
(+.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) x) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)) x) x) (-.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))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (*.f64 x 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 (+.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 (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(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) #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 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 2 binary64) x))) (*.f64 (*.f64 (neg.f64 x) x) x)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (*.f64 x x) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))) x))
#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 (/ (+ (/ 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 (+.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 #s(approx (+ (/ (/ (/ 2 x) x) (* x x)) (/ (/ 2 x) x)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))) x))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) 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
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))))
99.2%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes19.0ms (0.2%)

Memory
31.6MiB live, 31.6MiB allocated; 0ms collecting garbage
Counts
39 → 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) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (neg.f64 x)))
(/.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 (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (*.f64 x 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 (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(approx (- -1 (/ 1 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 #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 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) #s(approx (- x 1) #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 (-.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 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.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))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x)))
(+.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (*.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64))) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
(*.f64 (/.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) x) (-.f64 (*.f64 x x) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (/.f64 (*.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (+ (* (/ (/ -2 x) x) (* x x)) (* (* (neg x) x) 2)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 x x))) x))
(/.f64 (/.f64 (fma.f64 (/.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (-.f64 x #s(literal 1 binary64)) x) x) (-.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))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 2 binary64)) (*.f64 x 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 (+.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 (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(literal 1 binary64) (/.f64 (-.f64 (*.f64 x x) #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 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal -2 binary64))) (*.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 x (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (*.f64 (/.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 x x)))
Calls

2 calls:

10.0ms
x
7.0ms
(+.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%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))))
99.2%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes13.0ms (0.2%)

Memory
-21.4MiB live, 22.0MiB allocated; 5ms collecting garbage
Counts
20 → 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) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (neg.f64 x)))
(/.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 (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (*.f64 x 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 (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(approx (- -1 (/ 1 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 #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 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) #s(approx (- x 1) #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 (-.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 (fma.f64 #s(approx (- x (* 2 (+ x 1))) (-.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) x)) x) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.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))))
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
4.0ms
(+.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
98.6%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))))
98.6%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes9.0ms (0.1%)

Memory
17.3MiB live, 17.3MiB allocated; 0ms collecting garbage
Counts
16 → 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) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (neg.f64 x)))
(/.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 (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (*.f64 x 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 (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(approx (- -1 (/ 1 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 #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 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (-.f64 x #s(literal 1 binary64))) x)
(*.f64 (/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) #s(approx (- x 1) #s(literal -1 binary64))))
Outputs
(/.f64 #s(approx (+ (* (/ (- x (* 2 (+ x 1))) (+ x 1)) (- x 1)) x) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (*.f64 x x)))
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
98.6%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))))
98.6%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0.1%)

Memory
6.4MiB live, 6.4MiB allocated; 0ms collecting garbage
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) (/.f64 #s(literal 2 binary64) x)) #s(approx (* x (- x 1)) (neg.f64 x)))
(/.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
50.4%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))))
50.4%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 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:

1.0ms
x
1.0ms
(+.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
5.1%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))))
5.1%1x
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify60.0ms (0.8%)

Memory
-9.2MiB live, 37.1MiB allocated; 3ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042172
172172
2154160
3360160
41115160
57851160
Stop Event
node limit
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 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)) #s(approx (* x (- x 1)) (*.f64 x 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))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (*.f64 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)) #s(approx (* x (- x 1)) (*.f64 x 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))

derivations1.0s (13.1%)

Memory
36.3MiB live, 732.0MiB allocated; 143ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040322
062330
1277300
22533298
08448284
0113490
1300486
2989453
34768453
08152438
0126493
1356483
21123454
35074448
08197435
01035
01735
18335
279435
0821632
0102379
1275363
2813346
33318340
08346336
0146510
1420492
21331467
35821464
08242450
040244
066238
1279225
22386225
08377213
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 172 to 44 computations (74.4% saved)

preprocess53.0ms (0.7%)

Memory
-3.0MiB live, 90.6MiB allocated; 15ms collecting garbage
Compiler

Compiled 392 to 122 computations (68.9% saved)

end0.0ms (0%)

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

Profiling

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