3frac (problem 3.3.3)

Time bar (total: 8.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze6.0ms (0.1%)

Memory
-39.2MiB live, 3.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50%50%0%0%0%0
0%0%50%50%0%0%0%1
50%25%25%50%0%0%0%2
75%37.5%12.5%50%0%0%0%3
87.5%43.8%6.3%50%0%0%0%4
93.8%46.9%3.1%50%0%0%0%5
96.9%48.4%1.6%50%0%0%0%6
98.4%49.2%0.8%50%0%0%0%7
99.2%49.6%0.4%50%0%0%0%8
99.6%49.8%0.2%50%0%0%0%9
99.8%49.9%0.1%50%0%0%0%10
99.9%50%0%50%0%0%0%11
100%50%0%50%0%0%0%12
Compiler

Compiled 20 to 13 computations (35% saved)

sample1.7s (20.6%)

Memory
102.7MiB live, 1 752.3MiB allocated
Samples
1.1s7 260×1valid
113.0ms537×2valid
51.0ms459×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-div: 367.0ms (35% of total)
adjust: 256.0ms (24.4% of total)
ival-add: 174.0ms (16.6% of total)
ival-sub: 142.0ms (13.5% of total)
ival-fabs: 75.0ms (7.1% of total)
ival->: 24.0ms (2.3% of total)
exact: 9.0ms (0.9% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

explain429.0ms (5.3%)

Memory
-34.7MiB live, 374.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
85170(7.652913908276926e+279)1(-8.830255553732709)(+.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))))cancellation2541
Confusion
Predicted +Predicted -
+841
-1701
Precision
0.33070866141732286
Recall
0.9882352941176471
Confusion?
Predicted +Predicted MaybePredicted -
+8410
-17001
Precision?
0.3333333333333333
Recall?
1.0
Freqs
test
numberfreq
02
1254
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
160.0ms470×1valid
5.0ms24×2valid
1.0ms18×0valid
Compiler

Compiled 203 to 80 computations (60.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-div: 108.0ms (75% of total)
adjust: 14.0ms (9.7% of total)
ival-sub: 11.0ms (7.6% of total)
ival-add: 9.0ms (6.3% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

preprocess34.0ms (0.4%)

Memory
26.0MiB live, 26.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

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

(negabs x)

Compiler

Compiled 15 to 10 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.6%
(+.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)

simplify19.0ms (0.2%)

Memory
-19.9MiB live, 17.3MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize55.0ms (0.7%)

Memory
-5.4MiB live, 75.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy0.03125
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x))
accuracy19.43544640726611
(+.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
39.0ms235×1valid
3.0ms12×2valid
1.0ms0valid
Compiler

Compiled 94 to 22 computations (76.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 14.0ms (46.1% of total)
adjust: 7.0ms (23% of total)
ival-add: 5.0ms (16.5% of total)
ival-sub: 4.0ms (13.2% 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
3.0MiB live, 3.0MiB allocated
Counts
5 → 42
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 #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
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 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)))
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* -1 (/ (- (* -1 (/ (+ 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 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Calls

3 calls:

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

simplify164.0ms (2%)

Memory
32.2MiB live, 105.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0118459
1310439
2799414
32550390
47340390
08298382
Stop Event
iter limit
node limit
Counts
42 → 41
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
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 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)))
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* -1 (/ (- (* -1 (/ (+ 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 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 #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) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
x
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) 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 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)

rewrite264.0ms (3.2%)

Memory
-5.9MiB live, 302.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01037
01737
19437
2109537
0850834
Stop Event
iter limit
node limit
iter limit
Counts
5 → 412
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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3 binary64))) (pow.f64 (+.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) #s(literal -1 binary64))
(/.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)))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 4 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 x #s(literal 1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 3 binary64)) (*.f64 #s(literal -8 binary64) (pow.f64 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 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))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))) (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))))
(/.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))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))) (neg.f64 (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 (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 (+.f64 (/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) 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))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.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 (-.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 (-.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 (-.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))))))
(/.f64 (neg.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))))))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (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))) #s(literal -1 binary64)))) (neg.f64 (*.f64 (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))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64)) (*.f64 (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))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (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 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal -1 binary64)))) (neg.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(/.f64 (neg.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)))) (neg.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (+.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -1 binary64) 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 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) x))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -2 binary64) x)) (*.f64 (fma.f64 #s(literal -1 binary64) 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))))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -2 binary64) x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -2 binary64) x)))) (*.f64 (fma.f64 #s(literal -1 binary64) 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))))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -2 binary64) x))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x))))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) (neg.f64 (+.f64 (/.f64 #s(literal 2 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))))))
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(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (log1p.f64 x))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(exp.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))

eval104.0ms (1.3%)

Memory
-27.0MiB live, 94.3MiB allocated
Compiler

Compiled 13 765 to 1 579 computations (88.5% saved)

prune24.0ms (0.3%)

Memory
-0.6MiB live, 37.3MiB allocated
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New43313446
Fresh000
Picked101
Done000
Total43413447
Accuracy
99.8%
Counts
447 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
69.8%
(/.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))))
17.2%
(/.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))))
18.0%
(/.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)))
69.7%
(/.f64 (+.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
17.2%
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
18.2%
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
69.6%
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
18.1%
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
3.9%
(+.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))))
68.8%
(+.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))))
68.9%
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
5.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Compiler

Compiled 570 to 324 computations (43.2% saved)

simplify266.0ms (3.3%)

Memory
47.5MiB live, 194.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff128
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff384
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff1344
(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))))))
cost-diff0
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff128
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
cost-diff384
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
cost-diff512
(/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x)
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
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036283
057265
1106265
2235253
3635241
41864235
55407217
08661207
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#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 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 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 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.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)))
(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))))))
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.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 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)))
#s(literal 2 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 3 binary64))
x
#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 (-.f64 #s(literal -1 binary64) x) 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))
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) 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 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x)
(/.f64 (-.f64 #s(literal -2 binary64) x) (fma.f64 x x x))
(/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 x #s(literal -2 binary64)) (-.f64 #s(literal -1 binary64) x))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal -2 binary64) x)
x
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.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 #s(literal 2 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(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))))))
#s(literal 2 binary64)
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(+.f64 x #s(literal 1 binary64))
(-.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)))))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(-.f64 x #s(literal 1 binary64))
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal -2 binary64) 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 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

localize518.0ms (6.4%)

Memory
-63.5MiB live, 254.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy0.08203125
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy0.12883981865114966
(/.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)))
accuracy60.80466033086886
(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))))))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.00390625
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
accuracy0.015625
(/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x)
accuracy19.43544640726611
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy0.00390625
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy0.01171875
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
accuracy0.5103176576299848
#s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
accuracy19.43544640726611
(+.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
(/.f64 #s(literal -2 binary64) x)
accuracy60.78854851724078
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
accuracy0
(pow.f64 x #s(literal 3 binary64))
accuracy0.13274606865114966
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
accuracy0.5153940599480992
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
Samples
197.0ms241×1valid
7.0ms12×2valid
1.0ms0valid
Compiler

Compiled 544 to 70 computations (87.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 152.0ms
ival-add: 65.0ms (42.8% of total)
ival-div: 41.0ms (27% of total)
adjust: 16.0ms (10.5% of total)
ival-mult: 14.0ms (9.2% of total)
ival-sub: 12.0ms (7.9% of total)
ival-pow: 3.0ms (2% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
22.7MiB live, 22.7MiB allocated
Counts
19 → 55
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #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)
(+.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 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x)
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(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)) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.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 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(pow x 3)
(/ (- 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))
x
(* x (+ 1 x))
(+ 2 (* -1 x))
(+ 2 (* x (- (* -1 x) 1)))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(* -1 x)
(* x (- (pow x 2) 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))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(* -1 (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) 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 (pow x 3)) (pow x 3) (+ (- (/ 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) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (+ (/ (/ (- x (* 2 (+ x 1))) (+ x 1)) x) (/ 1 (- x 1))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ x 1) x) (* (- x 1) (- x (* 2 (+ x 1)))) (/ 1 (- x 1)) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x)))
3.0ms
x
@-inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 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) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (+ (/ (/ (- x (* 2 (+ x 1))) (+ x 1)) x) (/ 1 (- x 1))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ x 1) x) (* (- x 1) (- x (* 2 (+ x 1)))) (/ 1 (- x 1)) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x)))
3.0ms
x
@0
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (pow x 3)) (pow x 3) (+ (- (/ 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) (- x (* 2 (+ x 1))) (* 2 (+ x 1)) (+ (/ (/ (- x (* 2 (+ x 1))) (+ x 1)) x) (/ 1 (- x 1))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ x 1) x) (* (- x 1) (- x (* 2 (+ x 1)))) (/ 1 (- x 1)) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (* (- x 1) (* (+ x 1) x)))

simplify177.0ms (2.2%)

Memory
-6.5MiB live, 159.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0138480
1378462
21020434
33425409
47816405
08415392
Stop Event
iter limit
node limit
Counts
55 → 54
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 3))
(pow x 3)
(/ (- 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))
x
(* x (+ 1 x))
(+ 2 (* -1 x))
(+ 2 (* x (- (* -1 x) 1)))
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(* -1 x)
(* x (- (pow x 2) 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))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(* -1 (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* 2 x)
(* x (+ 2 (* 2 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) 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 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (/.f64 #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)))
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -1 x) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1 x) 1) x)
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
2
#s(literal 2 binary64)
(+ 2 (* 2 x))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
x
(* x (+ 1 x))
(fma.f64 x x x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* x (- (* -1 x) 1)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal 1 binary64)) x)
(* -1 (+ 1 (/ 1 x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) x)
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 2 (/ 1 x))))
(fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(* (pow x 2) (- (/ 2 (pow x 2)) (+ 1 (/ 1 x))))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x))) 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 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal 1 binary64)) x)
(* (pow x 2) (- (* -1 (/ (- 1 (* 2 (/ 1 x))) x)) 1))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

rewrite257.0ms (3.2%)

Memory
6.1MiB live, 236.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036223
057213
1273199
22794199
08627184
Stop Event
iter limit
node limit
iter limit
Counts
19 → 887
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #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)
(+.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 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x)
(-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(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)) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(/.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 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
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(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (+.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (-.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (+.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (fma.f64 x x x)) (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) (*.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x) (-.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 x (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(+.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))

eval103.0ms (1.3%)

Memory
-3.1MiB live, 154.2MiB allocated
Compiler

Compiled 26 835 to 2 801 computations (89.6% saved)

prune42.0ms (0.5%)

Memory
13.7MiB live, 52.3MiB allocated
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New8427849
Fresh718
Picked415
Done000
Total8539862
Accuracy
100.0%
Counts
862 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
17.2%
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
18.0%
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
18.2%
(+.f64 (/.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
18.2%
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
98.9%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
5.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Compiler

Compiled 381 to 237 computations (37.8% saved)

simplify299.0ms (3.7%)

Memory
-4.0MiB live, 278.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff192
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
cost-diff0
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
cost-diff0
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff384
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
cost-diff-5056
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
cost-diff-384
(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
cost-diff-5824
(*.f64 (*.f64 x x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
cost-diff0
(pow.f64 x #s(literal -3 binary64))
cost-diff0
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039278
063273
1114263
2237251
3626242
41806242
56379234
08273225
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 2 binary64)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
#s(literal 2 binary64)
(*.f64 (*.f64 x x) x)
(*.f64 x x)
x
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
#s(literal -2 binary64)
(+.f64 x #s(literal 1 binary64))
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 x #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
x
#s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.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 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 2 binary64)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.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))))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(*.f64 (*.f64 x x) x)
(pow.f64 x #s(literal 3 binary64))
(*.f64 x x)
x
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.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))))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 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
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (-.f64 #s(literal -2 binary64) x) (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(/.f64 (-.f64 #s(literal -2 binary64) x) (fma.f64 x x x))
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
(-.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (-.f64 #s(literal 2 binary64) (fma.f64 x x x)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (-.f64 #s(literal 2 binary64) (fma.f64 x x x))))
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))
#s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (-.f64 #s(literal 2 binary64) (fma.f64 x x x)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(-.f64 #s(literal 2 binary64) (fma.f64 x x x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(-.f64 x #s(literal 1 binary64))

localize227.0ms (2.8%)

Memory
-8.1MiB live, 277.2MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy0.08203125
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy0.12883981865114966
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
accuracy60.80466033086886
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.0078125
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy19.43544640726611
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
accuracy31.384576682785823
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy0
(*.f64 x x)
accuracy0.08984375
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
accuracy0.5153940599480992
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
accuracy0.8615243971583242
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy0
(*.f64 x x)
accuracy0.08984375
(*.f64 (*.f64 x x) x)
accuracy0.13274606865114966
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
accuracy0.5153940599480992
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
accuracy0
(pow.f64 x #s(literal -3 binary64))
accuracy0.00390625
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
accuracy0.5153940599480992
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Samples
180.0ms241×1valid
7.0ms12×2valid
1.0ms0valid
Compiler

Compiled 521 to 78 computations (85% saved)

Precisions
Click to see histograms. Total time spent on operations: 151.0ms
ival-mult: 48.0ms (31.8% of total)
ival-add: 32.0ms (21.2% of total)
ival-div: 23.0ms (15.2% of total)
ival-pow: 20.0ms (13.2% of total)
adjust: 18.0ms (11.9% of total)
ival-sub: 9.0ms (6% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Counts
19 → 47
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -3 binary64))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
(*.f64 x x)
(*.f64 (*.f64 x x) x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 (pow x 3))
(/ 1 (pow x 3))
(pow x 2)
(pow x 3)
(/ 2 (pow x 2))
-2
(- (* -1 x) 2)
x
(* x (+ 1 x))
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
2
1
(+ 1 x)
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(* -1 x)
(* x (- (pow x 2) 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))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -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)
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x) (+ (* -2 (+ x 1)) x) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (+ x 1) (/ 1 (- x 1)) (* (- x 1) (* (+ x 1) x)))
2.0ms
x
@inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x) (+ (* -2 (+ x 1)) x) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (+ x 1) (/ 1 (- x 1)) (* (- x 1) (* (+ x 1) x)))
2.0ms
x
@0
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (* (pow x -3) 2) (pow x -3) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* (* x x) x)) (* x x) (* (* x x) x) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 (* x x)) (/ (/ 2 (* x x)) x) (+ (* -2 (+ x 1)) x) (* (+ x 1) x) (+ (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (/ 1 (- x 1))) (/ (+ (* -2 (+ x 1)) x) (* (+ x 1) x)) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (+ x 1) (/ 1 (- x 1)) (* (- x 1) (* (+ x 1) x)))

simplify171.0ms (2.1%)

Memory
3.8MiB live, 189.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0120417
1319399
2873382
33450358
08438350
Stop Event
iter limit
node limit
Counts
47 → 46
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 3))
(/ 1 (pow x 3))
(pow x 2)
(pow x 3)
(/ 2 (pow x 2))
-2
(- (* -1 x) 2)
x
(* x (+ 1 x))
(/ (- x 2) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
2
1
(+ 1 x)
-1
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(* -1 x)
(* x (- (pow x 2) 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))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(* (pow x 2) (+ 1 (/ 1 x)))
(/ -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)
(* x (+ 1 (/ 1 x)))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) 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 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 1 (pow x 3))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow x 2)
(*.f64 x x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
-2
#s(literal -2 binary64)
(- (* -1 x) 2)
(-.f64 #s(literal -2 binary64) x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(/ (- x 2) x)
(/.f64 (-.f64 x #s(literal 2 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 2) x)
(-.f64 (/.f64 (-.f64 x #s(literal 2 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 2) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 2 binary64)) x))
2
#s(literal 2 binary64)
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 3))
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4)))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (+ 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal -2 binary64) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x))
(/ (- (/ 1 (pow x 2)) (+ 1 (+ (/ 1 x) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal 1 binary64)) x)
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) x)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (+ 1 (* -1 (/ (- (/ 1 x) 1) x))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64)) (*.f64 x x))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal 1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x)) x)
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

rewrite409.0ms (5%)

Memory
-26.3MiB live, 177.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039220
063206
1289196
22880196
08777186
Stop Event
iter limit
node limit
iter limit
Counts
19 → 726
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(pow.f64 x #s(literal -3 binary64))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x))
(*.f64 x x)
(*.f64 (*.f64 x x) x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x)
(fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3/2 binary64))) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (*.f64 (pow.f64 x #s(literal -3/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 x) x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
(neg.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
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(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (log1p.f64 x))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(exp.f64 (neg.f64 (log.f64 (-.f64 x #s(literal 1 binary64)))))
(*.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)
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (fma.f64 (*.f64 x (fma.f64 x x x)) (*.f64 x (fma.f64 x x x)) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (*.f64 x (fma.f64 x x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x) (-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(fma.f64 (fma.f64 x x x) x (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(fma.f64 x (fma.f64 x x x) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(+.f64 (*.f64 x (fma.f64 x x x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x))

eval274.0ms (3.4%)

Memory
20.3MiB live, 144.8MiB allocated
Compiler

Compiled 28 559 to 2 665 computations (90.7% saved)

prune24.0ms (0.3%)

Memory
7.4MiB live, 43.6MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New8783881
Fresh213
Picked235
Done011
Total8828890
Accuracy
100.0%
Counts
890 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
18.0%
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
99.7%
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
98.9%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
5.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Compiler

Compiled 195 to 127 computations (34.9% saved)

simplify240.0ms (3%)

Memory
-17.5MiB live, 221.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff192
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
cost-diff-5056
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
cost-diff-5440
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 2 binary64) x)
cost-diff0
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037259
055256
1104247
2228235
3585220
41516191
53733188
66400188
08284184
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(+.f64 x #s(literal 1 binary64))
x
#s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 x x)
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) 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))))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x x)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(literal 2 binary64)
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(fma.f64 x x #s(literal -1 binary64))

localize233.0ms (2.9%)

Memory
-6.2MiB live, 302.3MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy0.08203125
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
accuracy0.12883981865114966
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
accuracy60.80466033086886
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
accuracy0
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
accuracy0.0078125
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
accuracy0.08203125
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
accuracy0.12883981865114966
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
accuracy0
(/.f64 #s(literal 2 binary64) x)
accuracy0.08984375
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
accuracy0.109375
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
accuracy0.5153940599480992
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
accuracy0
(/.f64 #s(literal 2 binary64) x)
accuracy0
(*.f64 x x)
accuracy0.1171875
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
accuracy0.5153940599480992
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
Samples
174.0ms241×1valid
10.0ms12×2valid
1.0ms0valid
Compiler

Compiled 485 to 70 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 140.0ms
ival-mult: 76.0ms (54.5% of total)
ival-div: 24.0ms (17.2% of total)
ival-add: 15.0ms (10.7% of total)
adjust: 15.0ms (10.7% of total)
ival-sub: 9.0ms (6.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-17.7MiB live, 19.3MiB allocated
Counts
16 → 29
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) x)
(*.f64 x x)
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
(-.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(+.f64 x #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
Outputs
(/ -2 x)
(/ (- (* -2 (pow x 2)) 2) x)
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/ 2 x)
(pow x 2)
(/ 2 (pow x 3))
(/ 2 (pow x 2))
x
(* x (+ 1 x))
2
-1
(- x 1)
1
(+ 1 x)
(* -1 x)
(* x (- (pow x 2) 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))
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@0
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 x) (* x x) (/ (/ 2 x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ (/ (/ 2 x) x) x) (* (+ x 1) x) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ (* x x) -1) x)) (+ x 1) (* (- x 1) (* (+ x 1) x)) (* (+ (* x x) -1) x))
3.0ms
x
@-inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 x) (* x x) (/ (/ 2 x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ (/ (/ 2 x) x) x) (* (+ x 1) x) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ (* x x) -1) x)) (+ x 1) (* (- x 1) (* (+ x 1) x)) (* (+ (* x x) -1) x))
2.0ms
x
@inf
((+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ 2 x) (* x x) (/ (/ 2 x) (* x x)) (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/ (/ 2 x) x) (/ (/ (/ 2 x) x) x) (* (+ x 1) x) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (- x 1) (* (+ x 1) x))) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (- x 1) (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (/ (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) (* (+ (* x x) -1) x)) (+ x 1) (* (- x 1) (* (+ x 1) x)) (* (+ (* x x) -1) x))

simplify152.0ms (1.9%)

Memory
12.4MiB live, 237.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069214
1167205
2467199
32044188
45525188
08593183
Stop Event
iter limit
node limit
Counts
29 → 28
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 x)
(pow x 2)
(/ 2 (pow x 3))
(/ 2 (pow x 2))
x
(* x (+ 1 x))
2
-1
(- x 1)
1
(+ 1 x)
(* -1 x)
(* x (- (pow x 2) 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))
(* (pow x 2) (+ 1 (/ 1 x)))
(* x (- 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(pow x 3)
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
Outputs
(/ -2 x)
(/.f64 #s(literal -2 binary64) x)
(/ (- (* -2 (pow x 2)) 2) x)
(fma.f64 #s(literal -2 binary64) x (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2) x)
(fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 2) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))) x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 3))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/ 2 (pow x 2))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
x
(* x (+ 1 x))
(fma.f64 x x x)
2
#s(literal 2 binary64)
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (pow x 2) 1))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(/ (+ 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 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 x #s(literal 3 binary64)))
(/ (+ 2 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4))))) (pow x 3))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(+.f64 x #s(literal 1 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* (pow x 3) (- 1 (/ 1 (pow x 2))))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 3)))
(-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal -2 binary64)) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 3)))
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x)) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* (pow x 3) (- (/ 1 (pow x 2)) 1)))
(-.f64 (pow.f64 x #s(literal 3 binary64)) x)

rewrite203.0ms (2.5%)

Memory
-18.9MiB live, 268.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037206
055203
1265186
22486186
08765173
Stop Event
iter limit
node limit
iter limit
Counts
16 → 495
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) x)
(*.f64 x x)
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
(*.f64 (+.f64 x #s(literal 1 binary64)) x)
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
#s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64))
(-.f64 x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(+.f64 x #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) x)
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(pow.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal -2 binary64) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal 2 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 1/2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) x))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 (/.f64 x (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)))
(/.f64 (*.f64 (/.f64 #s(literal -2 binary64) x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (neg.f64 x))
(/.f64 (/.f64 #s(literal -2 binary64) x) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x)))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x))
(neg.f64 (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (/.f64 #s(literal -2 binary64) x) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) x)) #s(literal -1 binary64)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 (/.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(pow.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal 1/2 binary64)))
(/.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 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) 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) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x #s(literal 1/2 binary64)) x))
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (/.f64 #s(literal -2 binary64) x) x))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x #s(literal 1/2 binary64)) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 x (/.f64 #s(literal -2 binary64) x)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) x) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) (pow.f64 x #s(literal -1 binary64)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.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 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (exp.f64 (neg.f64 (log1p.f64 x)))))
(/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (log1p.f64 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)
(*.f64 (fma.f64 x x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (fma.f64 x x x)) (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) (*.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x) (-.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) x (neg.f64 x))
(fma.f64 x (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(+.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(+.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))
(*.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)
(*.f64 (fma.f64 x x x) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(*.f64 x (fma.f64 x x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (fma.f64 x x x)) (*.f64 x (fma.f64 x x x)) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))) (*.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x) (-.f64 (*.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x)))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 9 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) x)) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x x)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x x)) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) x) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(/.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)) (neg.f64 x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (fma.f64 x x x) x (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) x (pow.f64 x #s(literal 3 binary64)))
(fma.f64 (*.f64 x x) x (neg.f64 x))
(fma.f64 x (fma.f64 x x x) (*.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(fma.f64 x #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(+.f64 (*.f64 x (fma.f64 x x x)) (*.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))
(+.f64 (neg.f64 x) (pow.f64 x #s(literal 3 binary64)))

eval54.0ms (0.7%)

Memory
21.7MiB live, 146.4MiB allocated
Compiler

Compiled 19 292 to 1 640 computations (91.5% saved)

prune14.0ms (0.2%)

Memory
6.1MiB live, 44.0MiB allocated
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New5162518
Fresh000
Picked224
Done044
Total5188526
Accuracy
100.0%
Counts
526 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.7%
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
99.7%
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) x))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
99.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
98.9%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
5.0%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
99.2%
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
Compiler

Compiled 797 to 231 computations (71% saved)

regimes17.0ms (0.2%)

Memory
-11.8MiB live, 26.5MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) x) (*.f64 x x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) x))
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 #s(approx (- (/ 1 (+ x 1)) (/ 2 x)) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (-.f64 #s(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))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) x) 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 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (fma.f64 x 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) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 x #s(literal 1 binary64)) x) (*.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (fma.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) x) (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(approx (* (- x 1) (- x (* 2 (+ x 1)))) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 2 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) x)))
(+.f64 (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 (/.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) x) (/.f64 #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 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 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))) (fma.f64 (-.f64 x (*.f64 #s(literal 2 binary64) (+.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64)))))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 2 binary64)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))))
Outputs
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
Calls

2 calls:

9.0ms
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
7.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes4.0ms (0%)

Memory
8.0MiB live, 8.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
Outputs
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
Calls

2 calls:

2.0ms
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
99.7%1x
99.7%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
Outputs
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
Calls

2 calls:

2.0ms
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
98.9%1x
98.9%1(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 11 computations (31.3% saved)

regimes3.0ms (0%)

Memory
5.8MiB live, 5.8MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

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

Compiled 16 to 11 computations (31.3% saved)

simplify27.0ms (0.3%)

Memory
-30.5MiB live, 55.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032100
140100
243100
347100
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))
Outputs
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x x)))
(/.f64 #s(approx (+ (* 1 (* (+ x 1) x)) (* (- x 1) (- x (* 2 (+ x 1))))) #s(literal 2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) x)))
#s(approx (+ (- (/ 1 (+ x 1)) (/ 2 x)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) x))

soundness1.5s (17.9%)

Memory
4.9MiB live, 512.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
036223
057213
1273199
22794199
08627184
01037
01737
19437
2109537
0850834
037206
055203
1265186
22486186
08765173
0118459
1310439
2799414
32550390
47340390
08298382
0120417
1319399
2873382
33450358
08438350
0138480
1378462
21020434
33425409
47816405
08415392
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 347 to 162 computations (53.3% saved)

preprocess132.0ms (1.6%)

Memory
22.8MiB live, 173.7MiB allocated
Compiler

Compiled 368 to 174 computations (52.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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