Asymptote A

Time bar (total: 4.5s)

start0.0ms (0%)

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

analyze3.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 13 to 9 computations (30.8% saved)

sample1.3s (29.6%)

Memory
15.7MiB live, 1 010.1MiB allocated; 225ms collecting garbage
Samples
772.0ms3 900×1valid
228.0ms4 356×0valid
Precisions
Click to see histograms. Total time spent on operations: 838.0ms
ival-div: 306.0ms (36.5% of total)
adjust: 234.0ms (27.9% of total)
ival-sub: 176.0ms (21% of total)
ival-add: 107.0ms (12.8% of total)
ival-true: 6.0ms (0.7% of total)
exact: 5.0ms (0.6% of total)
ival-assert: 3.0ms (0.4% of total)
Bogosity

explain122.0ms (2.7%)

Memory
-3.8MiB live, 102.6MiB allocated; 7ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
630-0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
00-0-(/.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-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))cancellation630
Confusion
Predicted +Predicted -
+630
-0193
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6300
-00193
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0193
163
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms236×1valid
17.0ms276×0valid
Compiler

Compiled 73 to 25 computations (65.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 10.0ms (33.2% of total)
adjust: 8.0ms (26.5% of total)
ival-sub: 7.0ms (23.2% of total)
ival-add: 4.0ms (13.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess292.0ms (6.5%)

Memory
7.5MiB live, 243.7MiB allocated; 42ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01436
11836
22136
34536
414236
5120433
6565833
0711
01211
11511
21811
33411
49511
559911
6716211
0901011
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Outputs
(-.f64 (/.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 -1 binary64) (-.f64 x #s(literal -1 binary64))))
Symmetry

(abs x)

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

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

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.6%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify217.0ms (4.9%)

Memory
-17.5MiB live, 131.2MiB allocated; 22ms collecting garbage
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
01229
11529
21829
33429
49529
559929
6716229
0901029
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.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))
x
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #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 -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 1 binary64) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))

localize38.0ms (0.9%)

Memory
-1.7MiB live, 44.2MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy13.718147356292304
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Samples
25.0ms118×1valid
7.0ms138×0valid
Compiler

Compiled 31 to 9 computations (71% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-add: 12.0ms (48.5% of total)
ival-div: 5.0ms (20.2% of total)
adjust: 4.0ms (16.2% of total)
ival-sub: 3.0ms (12.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
4.2MiB live, 4.2MiB allocated; 0ms collecting garbage
Counts
4 → 33
Calls
Call 1
Inputs
(-.f64 (/.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)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 -1))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* -1 x) 1)) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))))
Calls

3 calls:

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

simplify227.0ms (5.1%)

Memory
-7.0MiB live, 177.1MiB allocated; 28ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0117549
1269529
2802518
34277514
08240502
Stop Event
iter limit
node limit
Counts
33 → 33
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 -1))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* -1 x) 1)) 1)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.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))))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 1))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- x 1)))))
#s(approx (/ 1 (+ x 1)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))))
#s(approx (/ 1 (+ x 1)) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64)) x #s(literal 1 binary64)))
#s(approx (+ x 1) #s(hole binary64 1))
#s(approx (+ x 1) #s(literal 1 binary64))
#s(approx (+ x 1) #s(hole binary64 (+ 1 x)))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 -1))
#s(approx (/ 1 (- x 1)) #s(literal -1 binary64))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* -1 x) 1)))
#s(approx (/ 1 (- x 1)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* -1 x) 1)) 1)))
#s(approx (/ 1 (- x 1)) (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (- (* x (- (* x (- (* -1 x) 1)) 1)) 1)))
#s(approx (/ 1 (- x 1)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) x #s(literal -1 binary64)) x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) x) (pow.f64 x #s(literal 3 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (+ x 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- 1 (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)))
#s(approx (/ 1 (+ x 1)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (*.f64 x x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)))
#s(approx (/ 1 (+ x 1)) (/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))) x))
#s(approx (+ x 1) #s(hole binary64 x))
#s(approx (+ x 1) x)
#s(approx (+ x 1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (+ x 1) (-.f64 x #s(literal -1 binary64)))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ 1 x)))
#s(approx (/ 1 (- x 1)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (/ 1 x)) x)))
#s(approx (/ 1 (- x 1)) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) #s(literal -1 binary64)) x))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)))
#s(approx (/ 1 (- x 1)) (/.f64 (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) #s(literal -1 binary64)) x) (*.f64 x x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (/ 1 x) 1) x))))
#s(approx (/ 1 (+ x 1)) (/.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))))
#s(approx (/ 1 (+ x 1)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) (*.f64 x x)))
#s(approx (/ 1 (+ x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))))
#s(approx (/ 1 (+ x 1)) (/.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))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))))
#s(approx (/ 1 (- x 1)) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) #s(literal -1 binary64)) x))
#s(approx (/ 1 (- x 1)) #s(hole binary64 (* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))))
#s(approx (/ 1 (- x 1)) (/.f64 (+.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) #s(literal -1 binary64)) x) (*.f64 x x)))

rewrite59.0ms (1.3%)

Memory
64.7MiB live, 86.1MiB allocated; 10ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0724
01224
15824
053124
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 56
Calls
Call 1
Inputs
(-.f64 (/.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)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
Outputs
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (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 -3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (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 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64))))
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (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 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (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)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (+.f64 (+.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.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)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #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))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)))
(*.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 (fma.f64 x x #s(literal -1 binary64)) (-.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 #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #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 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 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 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal 1 binary64)) #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))))
(neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))

eval25.0ms (0.6%)

Memory
1.4MiB live, 33.0MiB allocated; 13ms collecting garbage
Compiler

Compiled 1 547 to 304 computations (80.3% saved)

prune4.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated; 0ms collecting garbage
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New80585
Fresh000
Picked101
Done000
Total81586
Accuracy
100.0%
Counts
86 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.8%
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
52.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
47.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x))
47.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
53.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 166 to 108 computations (34.9% saved)

simplify155.0ms (3.5%)

Memory
-31.7MiB live, 150.7MiB allocated; 38ms collecting garbage
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))
cost-diff0
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
cost-diff0
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -2 binary64) (*.f64 x x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
cost-diff0
(-.f64 x #s(literal -1 binary64))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff6
(-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
025163
037175
166175
2176167
3699131
43337131
08936131
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)
Outputs
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
#s(literal -2 binary64)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(literal 2 binary64)

localize295.0ms (6.6%)

Memory
-45.6MiB live, 119.0MiB allocated; 156ms collecting garbage
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0625
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
accuracy0.125
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
accuracy0.3198112467157279
(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy33.38940993202168
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x))
accuracy0.0
(*.f64 x x)
accuracy0.3198112467157279
(/.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy33.47205974433368
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy0.0
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
accuracy0.0
(*.f64 x x)
accuracy30.15733036978153
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
accuracy29.9909478439316
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.0
(-.f64 x #s(literal -1 binary64))
accuracy0.23777999671572791
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy27.609375000000004
(-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
Samples
161.0ms120×1valid
18.0ms136×0valid
Compiler

Compiled 141 to 23 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
ival-add: 95.0ms (71.8% of total)
ival-div: 14.0ms (10.6% of total)
adjust: 10.0ms (7.6% of total)
ival-sub: 8.0ms (6% of total)
ival-mult: 5.0ms (3.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
8.6MiB live, 8.6MiB allocated; 0ms collecting garbage
Counts
14 → 44
Calls
Call 1
Inputs
(-.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))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))
Outputs
#s(approx (- (- x 1) (- x -1)) #s(hole binary64 -2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (+ (* (* x x) 2) 2) #s(hole binary64 2))
#s(approx (+ (* (* x x) 2) 2) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ -2 (* x x)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ -2 (pow x 3))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 3))))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (+ (* (* x x) 2) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (* x x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ -2 x)))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 -2))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((- (- x 1) (- x -1)) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (- x 1) (- x -1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- (/ -2 (* x x)) 2) x) x) (/ (- (/ -2 (* x x)) 2) x) (- (/ -2 (* x x)) 2))
2.0ms
x
@inf
((- (- x 1) (- x -1)) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (- x 1) (- x -1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- (/ -2 (* x x)) 2) x) x) (/ (- (/ -2 (* x x)) 2) x) (- (/ -2 (* x x)) 2))
1.0ms
x
@-inf
((- (- x 1) (- x -1)) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (- x 1) (- x -1) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (+ (* (* x x) 2) 2) (* x x) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ -2 (* x x)) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- (/ -2 (* x x)) 2) x) x) (/ (- (/ -2 (* x x)) 2) x) (- (/ -2 (* x x)) 2))

simplify182.0ms (4.1%)

Memory
21.6MiB live, 208.8MiB allocated; 48ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0109755
1240749
2944703
36656702
09110668
Stop Event
iter limit
node limit
Counts
44 → 44
Calls
Call 1
Inputs
#s(approx (- (- x 1) (- x -1)) #s(hole binary64 -2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (+ (* (* x x) 2) 2) #s(hole binary64 2))
#s(approx (+ (* (* x x) 2) 2) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ -2 (* x x)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ -2 (pow x 3))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 3))))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (+ (* (* x x) 2) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (* x x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ -2 x)))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 -2))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
Outputs
#s(approx (- (- x 1) (- x -1)) #s(hole binary64 -2))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(literal 2 binary64))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (*.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))))
#s(approx (- x 1) #s(hole binary64 -1))
#s(approx (- x 1) #s(literal -1 binary64))
#s(approx (- x 1) #s(hole binary64 (- x 1)))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- x -1) #s(hole binary64 1))
#s(approx (- x -1) #s(literal 1 binary64))
#s(approx (- x -1) #s(hole binary64 (+ 1 x)))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.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))))
#s(approx (+ (* (* x x) 2) 2) #s(hole binary64 2))
#s(approx (+ (* (* x x) 2) 2) #s(literal 2 binary64))
#s(approx (+ (* (* x x) 2) 2) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (+ (* (* x x) 2) 2) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ -2 (* x x)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ -2 (* x x)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ -2 (pow x 3))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 3))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ -2 (* x x)) 2) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 2))))
#s(approx (- (/ -2 (* x x)) 2) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- x 1) #s(hole binary64 x))
#s(approx (- x 1) x)
#s(approx (- x 1) #s(hole binary64 (* x (- 1 (/ 1 x)))))
#s(approx (- x 1) (-.f64 x #s(literal 1 binary64)))
#s(approx (- x -1) #s(hole binary64 x))
#s(approx (- x -1) x)
#s(approx (- x -1) #s(hole binary64 (* x (+ 1 (/ 1 x)))))
#s(approx (- x -1) (-.f64 x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (+ (* (* x x) 2) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (* x x) 2) 2) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
#s(approx (+ (* (* x x) 2) 2) #s(hole binary64 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 2) 2) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ -2 x)))
#s(approx (/ (- (/ -2 (* x x)) 2) x) (/.f64 #s(literal -2 binary64) x))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 -2))
#s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- (/ -2 (* x x)) 2) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)))
#s(approx (- x 1) #s(hole binary64 (* -1 (* x (- (/ 1 x) 1)))))
#s(approx (- x 1) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x))

rewrite63.0ms (1.4%)

Memory
20.3MiB live, 66.3MiB allocated; 6ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025137
037137
1173136
01641136
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
14 → 174
Calls
Call 1
Inputs
(-.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))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))
Outputs
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(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 2 binary64))
(fma.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 2 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) (*.f64 #s(literal 2 binary64) x)))
(+.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 8 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 x x) #s(literal 4 binary64))))))
(+.f64 (*.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 2 binary64))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -2 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) (neg.f64 x))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x)))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x))) (*.f64 x x)))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x)
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (neg.f64 x)) x))
(neg.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (/.f64 (/.f64 #s(literal 2 binary64) x) x))
(-.f64 (/.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (*.f64 x x)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x))) (+.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) x) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x) (*.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x))
(/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x))) x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))) (neg.f64 x))
(/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x)
(neg.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) x))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64))) (neg.f64 (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64))) (neg.f64 (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 8 binary64)) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x))))
(-.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x)))) (/.f64 #s(literal 8 binary64) (+.f64 (+.f64 (/.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal -4 binary64) (*.f64 x x)))))
(-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64))

eval53.0ms (1.2%)

Memory
-29.5MiB live, 69.5MiB allocated; 18ms collecting garbage
Compiler

Compiled 5 883 to 865 computations (85.3% saved)

prune7.0ms (0.2%)

Memory
24.2MiB live, 24.2MiB allocated; 0ms collecting garbage
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2464250
Fresh000
Picked235
Done000
Total2487255
Accuracy
100.0%
Counts
255 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
13.0%
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
52.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
47.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x))
47.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
47.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
53.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 130 to 89 computations (31.5% saved)

simplify182.0ms (4.1%)

Memory
-20.5MiB live, 252.0MiB allocated; 53ms collecting garbage
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
cost-diff0
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
cost-diff0
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
cost-diff0
#s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64))
cost-diff0
(/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x)
cost-diff0
(/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x))
cost-diff0
(pow.f64 x #s(literal -2 binary64))
cost-diff0
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
cost-diff2
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034177
045173
171173
2160167
3541145
42574145
08993145
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x))
(/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x)
(/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x)
#s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64))
#s(literal -2 binary64)
x
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
#s(literal -2 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal -2 binary64))
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x))
(/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x)
(/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x)
#s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64))
#s(literal -2 binary64)
x
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -2 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
#s(literal -2 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)

localize133.0ms (3%)

Memory
-1.3MiB live, 200.0MiB allocated; 51ms collecting garbage
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy0.0
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
accuracy0.23777999671572791
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy0.0
(pow.f64 x #s(literal 4 binary64))
accuracy0.0
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
accuracy22.083921993984642
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
accuracy33.38940993202168
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
accuracy0.0625
(/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x)
accuracy0.125
(/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x)
accuracy32.34431927501894
#s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64))
accuracy33.38940993202168
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x))
accuracy0.0
(pow.f64 x #s(literal -2 binary64))
accuracy0.3198112467157279
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
accuracy0.37035203147256784
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
accuracy33.47205974433368
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
Samples
88.0ms120×1valid
24.0ms136×0valid
Compiler

Compiled 142 to 29 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-div: 38.0ms (41.9% of total)
adjust: 24.0ms (26.5% of total)
ival-add: 10.0ms (11% of total)
ival-sub: 8.0ms (8.8% of total)
ival-mult: 5.0ms (5.5% of total)
ival-pow: 5.0ms (5.5% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
15.6MiB live, 15.6MiB allocated; 0ms collecting garbage
Counts
16 → 49
Calls
Call 1
Inputs
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x))
(/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x)
(/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x)
#s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(fma.f64 x x #s(literal 1 binary64))
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
(fma.f64 x x #s(literal -1 binary64))
(pow.f64 x #s(literal 4 binary64))
Outputs
#s(approx (/ -2 (/ 1 (pow x -2))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ 1 (pow x -2)) #s(hole binary64 (pow x 2)))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ -2 (pow x 3))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 3))))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 -2))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (- (* -2 (pow x 2)) 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- (- x 1) (- x -1)) #s(hole binary64 -2))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ -2 x)))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 -2))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@0
((/ -2 (/ 1 (pow x -2))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (pow x -2)) (pow x -2) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- (/ -2 (* x x)) 2) x) x) (/ (- (/ -2 (* x x)) 2) x) (- (/ -2 (* x x)) 2) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/ (* (+ (* x x) 1) -2) (pow x 4)) (* (+ (* x x) 1) -2) (+ (* x x) 1) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (- (- x 1) (- x -1)) (+ (* x x) -1) (pow x 4))
2.0ms
x
@inf
((/ -2 (/ 1 (pow x -2))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (pow x -2)) (pow x -2) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- (/ -2 (* x x)) 2) x) x) (/ (- (/ -2 (* x x)) 2) x) (- (/ -2 (* x x)) 2) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/ (* (+ (* x x) 1) -2) (pow x 4)) (* (+ (* x x) 1) -2) (+ (* x x) 1) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (- (- x 1) (- x -1)) (+ (* x x) -1) (pow x 4))
2.0ms
x
@-inf
((/ -2 (/ 1 (pow x -2))) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ 1 (pow x -2)) (pow x -2) (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/ (/ (- (/ -2 (* x x)) 2) x) x) (/ (- (/ -2 (* x x)) 2) x) (- (/ -2 (* x x)) 2) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/ (* (+ (* x x) 1) -2) (pow x 4)) (* (+ (* x x) 1) -2) (+ (* x x) 1) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (- (- x 1) (- x -1)) (+ (* x x) -1) (pow x 4))

simplify134.0ms (3%)

Memory
5.4MiB live, 192.1MiB allocated; 36ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0116869
1240851
21051817
37868817
08013761
Stop Event
iter limit
node limit
Counts
49 → 49
Calls
Call 1
Inputs
#s(approx (/ -2 (/ 1 (pow x -2))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ 1 (pow x -2)) #s(hole binary64 (pow x 2)))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ -2 (pow x 3))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 3))))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 -2))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (- (* -2 (pow x 2)) 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (- (- x 1) (- x -1)) #s(hole binary64 -2))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ -2 x)))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 -2))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
Outputs
#s(approx (/ -2 (/ 1 (pow x -2))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ -2 (/ 1 (pow x -2))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.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))))
#s(approx (/ 1 (pow x -2)) #s(hole binary64 (pow x 2)))
#s(approx (/ 1 (pow x -2)) (*.f64 x x))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x -2) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ -2 (pow x 3))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 3))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ -2 (* x x)) 2) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 2))))
#s(approx (- (/ -2 (* x x)) 2) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(literal 2 binary64))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (*.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))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 -2))
#s(approx (* (+ (* x x) 1) -2) #s(literal -2 binary64))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (- (* -2 (pow x 2)) 2)))
#s(approx (* (+ (* x x) 1) -2) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))
#s(approx (+ (* x x) 1) #s(hole binary64 1))
#s(approx (+ (* x x) 1) #s(literal 1 binary64))
#s(approx (+ (* x x) 1) #s(hole binary64 (+ 1 (pow x 2))))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (- (- x 1) (- x -1)) #s(hole binary64 -2))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
#s(approx (+ (* x x) -1) #s(hole binary64 -1))
#s(approx (+ (* x x) -1) #s(literal -1 binary64))
#s(approx (+ (* x x) -1) #s(hole binary64 (- (pow x 2) 1)))
#s(approx (+ (* x x) -1) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (pow x 4) (pow.f64 x #s(literal 4 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (/ (- (/ -2 (* x x)) 2) x) x) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (/ -2 x)))
#s(approx (/ (- (/ -2 (* x x)) 2) x) (/.f64 #s(literal -2 binary64) x))
#s(approx (/ (- (/ -2 (* x x)) 2) x) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) x))))
#s(approx (/ (- (/ -2 (* x x)) 2) x) (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 -2))
#s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64))
#s(approx (- (/ -2 (* x x)) 2) #s(hole binary64 (* -1 (+ 2 (* 2 (/ 1 (pow x 2)))))))
#s(approx (- (/ -2 (* x x)) 2) (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 x x)) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (* (+ (* x x) 1) -2) (pow x 4)) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* (+ (* x x) 1) -2) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* x x) 1) -2) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))
#s(approx (+ (* x x) 1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) 1) (*.f64 x x))
#s(approx (+ (* x x) 1) #s(hole binary64 (* (pow x 2) (+ 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) 1) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (+ (* x x) -1) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -1) (*.f64 x x))
#s(approx (+ (* x x) -1) #s(hole binary64 (* (pow x 2) (- 1 (/ 1 (pow x 2))))))
#s(approx (+ (* x x) -1) (fma.f64 x x #s(literal -1 binary64)))

rewrite70.0ms (1.6%)

Memory
-22.8MiB live, 80.2MiB allocated; 9ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034165
045159
1195158
01762158
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
16 → 249
Calls
Call 1
Inputs
(/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x))
(/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x)
(/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x)
#s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(fma.f64 x x #s(literal 1 binary64))
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
(fma.f64 x x #s(literal -1 binary64))
(pow.f64 x #s(literal 4 binary64))
Outputs
(*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 2 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -2 binary64) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal -2 binary64) x)) (neg.f64 x))
(/.f64 (/.f64 #s(literal -2 binary64) x) x)
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -2 binary64) (*.f64 x x))
(neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #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 (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x))
(*.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) (neg.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64))) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x)
(/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) (*.f64 x x))
(neg.f64 (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) (neg.f64 x)) x))
(neg.f64 (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64))) (neg.f64 x))
(/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x)
(neg.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) (neg.f64 x)))
#s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 x x)) (*.f64 x x))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (*.f64 #s(literal -2 binary64) (-.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 x x)))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (neg.f64 (-.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 x x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 2 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x))))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
#s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64))
(*.f64 (+.f64 (fabs.f64 x) #s(literal -1 binary64)) (-.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 (fabs.f64 x) #s(literal 1 binary64)) (-.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) (-.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))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.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))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.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 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -2 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (neg.f64 x) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal -1 binary64))
(expm1.f64 (-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) #s(literal -2 binary64))))
(expm1.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
(expm1.f64 (*.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal -1 binary64)))
(expm1.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64)))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) (*.f64 x x)))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (*.f64 x x) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal 4 binary64))))

eval30.0ms (0.7%)

Memory
15.5MiB live, 61.1MiB allocated; 6ms collecting garbage
Compiler

Compiled 6 961 to 944 computations (86.4% saved)

prune12.0ms (0.3%)

Memory
-23.8MiB live, 23.0MiB allocated; 3ms collecting garbage
Pruning

8 alts after pruning (3 fresh and 5 done)

PrunedKeptTotal
New2823285
Fresh000
Picked224
Done033
Total2848292
Accuracy
100.0%
Counts
292 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
13.0%
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))))
13.0%
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
52.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
47.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x))
47.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
47.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
53.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 162 to 106 computations (34.6% saved)

simplify120.0ms (2.7%)

Memory
7.5MiB live, 146.0MiB allocated; 24ms collecting garbage
Localize:

Found 11 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
028171
039165
184151
2298135
31601135
08472133
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -2 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x x)
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -2 binary64)
(*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 x x)
(neg.f64 x)
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -2 binary64)
(*.f64 (*.f64 x x) (*.f64 x x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 x x)
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(literal -2 binary64)
(*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(pow.f64 x #s(literal 4 binary64))
(*.f64 (*.f64 x x) (neg.f64 x))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(*.f64 x x)
(neg.f64 x)

localize90.0ms (2%)

Memory
39.8MiB live, 130.2MiB allocated; 11ms collecting garbage
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy0.046875
(*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
accuracy0.09375
(*.f64 (*.f64 x x) (neg.f64 x))
accuracy22.083921993984642
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
accuracy33.38940993202168
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))))
accuracy0.0
(*.f64 x x)
accuracy0.11785126953688403
(*.f64 (*.f64 x x) (*.f64 x x))
accuracy22.083921993984642
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
accuracy33.38940993202168
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
accuracy0.0
(pow.f64 x #s(literal -2 binary64))
accuracy0.00390625
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
accuracy33.47205974433368
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
Samples
52.0ms118×1valid
22.0ms138×0valid
Compiler

Compiled 141 to 26 computations (81.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-mult: 17.0ms (29% of total)
adjust: 14.0ms (23.9% of total)
ival-div: 11.0ms (18.8% of total)
ival-sub: 6.0ms (10.2% of total)
ival-add: 6.0ms (10.2% of total)
ival-pow: 3.0ms (5.1% of total)
ival-neg: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series45.0ms (1%)

Memory
-35.9MiB live, 25.9MiB allocated; 33ms collecting garbage
Counts
12 → 34
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x x) (neg.f64 x))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(*.f64 x x)
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (* (pow x -2) -2) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 -2))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (- (* -2 (pow x 2)) 2)))
#s(approx (* (* (* x x) (neg x)) (neg x)) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) (neg x)) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
Calls

3 calls:

TimeVariablePointExpression
40.0ms
x
@-inf
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (* (pow x -2) -2) (pow x -2) (* (* x x) (* x x)) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) (* x x))
2.0ms
x
@inf
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (* (pow x -2) -2) (pow x -2) (* (* x x) (* x x)) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) (* x x))
2.0ms
x
@0
((- (/ 1 (+ x 1)) (/ 1 (- x 1))) (* (pow x -2) -2) (pow x -2) (* (* x x) (* x x)) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x)) (* (* x x) (neg x)) (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) (* x x))

simplify164.0ms (3.7%)

Memory
-5.6MiB live, 183.4MiB allocated; 34ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089688
1208662
2958630
36949630
08028586
Stop Event
iter limit
node limit
Counts
34 → 34
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (* (pow x -2) -2) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 -2))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (- (* -2 (pow x 2)) 2)))
#s(approx (* (* (* x x) (neg x)) (neg x)) #s(hole binary64 (pow x 4)))
#s(approx (* (* x x) (neg x)) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 2))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.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))))
#s(approx (* (pow x -2) -2) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (* (pow x -2) -2) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (pow x -2) #s(hole binary64 (/ 1 (pow x 2))))
#s(approx (pow x -2) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (* (* (* x x) (neg x)) (neg x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 2))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(literal 2 binary64))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* 2 (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (fma.f64 #s(literal 2 binary64) (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (+ 2 (* (pow x 2) (+ 2 (* (pow x 2) (+ 2 (* 2 (pow x 2)))))))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (*.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))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 -2))
#s(approx (* (+ (* x x) 1) -2) #s(literal -2 binary64))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (- (* -2 (pow x 2)) 2)))
#s(approx (* (+ (* x x) 1) -2) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))
#s(approx (* (* (* x x) (neg x)) (neg x)) #s(hole binary64 (pow x 4)))
#s(approx (* (* (* x x) (neg x)) (neg x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (* (* x x) (neg x)) #s(hole binary64 (* -1 (pow x 3))))
#s(approx (* (* x x) (neg x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) #s(hole binary64 (/ -2 (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) #s(hole binary64 (/ (- (* -2 (pow x 2)) 2) (pow x 4))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2))) 2) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) x) x))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) #s(hole binary64 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 4))) (+ 2 (* 2 (/ 1 (pow x 2))))) (pow x 2))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) x) x) #s(literal 2 binary64)) (*.f64 x x)))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* x x) (* x x))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (* -2 (pow x 2))))
#s(approx (* (+ (* x x) 1) -2) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (* (+ (* x x) 1) -2) #s(hole binary64 (* -1 (* (pow x 2) (+ 2 (* 2 (/ 1 (pow x 2))))))))
#s(approx (* (+ (* x x) 1) -2) (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) #s(hole binary64 (/ -2 (pow x 2))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) #s(hole binary64 (* -1 (/ (+ 2 (* 2 (/ 1 (pow x 2)))) (pow x 2)))))
#s(approx (/ (* (+ (* x x) 1) -2) (* (* (* x x) (neg x)) (neg x))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))

rewrite70.0ms (1.6%)

Memory
34.6MiB live, 79.1MiB allocated; 7ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028144
039126
1178108
01567108
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
12 → 175
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal -2 binary64))
(*.f64 (*.f64 x x) (*.f64 x x))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(*.f64 (*.f64 x x) (neg.f64 x))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x)))
(*.f64 x x)
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
(*.f64 (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1 binary64))) (fabs.f64 (pow.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal -2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #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 (cosh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) (sinh.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))))
(*.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) x))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -2 binary64) (neg.f64 x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (neg.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal -2 binary64) x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal -2 binary64) x)) x) x)
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (neg.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) #s(literal -2 binary64)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -2 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal -2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) x))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (fma.f64 x x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) (-.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 x x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -2 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -2 binary64))
(+.f64 (*.f64 (*.f64 x x) #s(literal -2 binary64)) #s(literal -2 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal -2 binary64))
(+.f64 #s(literal -2 binary64) (*.f64 (*.f64 x x) #s(literal -2 binary64)))
(+.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 (*.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (*.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(*.f64 (*.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(*.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64))) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (*.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (*.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) #s(literal 2 binary64)))
(*.f64 (*.f64 (neg.f64 x) (fabs.f64 x)) (fabs.f64 x))
(*.f64 (*.f64 (neg.f64 x) x) x)
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) (neg.f64 x)))
(*.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (*.f64 x x) (neg.f64 x))
(*.f64 x (*.f64 (neg.f64 x) x))
(pow.f64 (neg.f64 x) #s(literal 3 binary64))
(neg.f64 (pow.f64 x #s(literal 3 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)) (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (neg.f64 x)) (/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) x))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal -2 binary64) (neg.f64 x)) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (neg.f64 x)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal -2 binary64) x)) (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal -2 binary64) x)) x) x)
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (neg.f64 x)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) x) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (neg.f64 x))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) x) #s(literal -2 binary64)) (*.f64 x x))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) #s(literal -2 binary64)) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 3 binary64))) x)
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal -2 binary64) x))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) (/.f64 #s(literal -2 binary64) x)) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) (neg.f64 x))
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64)))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))) x))
(neg.f64 (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (*.f64 (fabs.f64 x) #s(literal -1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(*.f64 (*.f64 (fabs.f64 x) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval23.0ms (0.5%)

Memory
-6.8MiB live, 38.6MiB allocated; 6ms collecting garbage
Compiler

Compiled 5 983 to 675 computations (88.7% saved)

prune13.0ms (0.3%)

Memory
-24.8MiB live, 21.3MiB allocated; 4ms collecting garbage
Pruning

8 alts after pruning (2 fresh and 6 done)

PrunedKeptTotal
New2032205
Fresh000
Picked213
Done055
Total2058213
Accuracy
100.0%
Counts
213 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.6%
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
12.7%
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 #s(approx (* (+ (* x x) 1) -2) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))))
12.7%
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 #s(approx (* (+ (* x x) 1) -2) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))
52.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
47.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x))
47.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
47.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
53.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Compiler

Compiled 499 to 184 computations (63.1% saved)

regimes9.0ms (0.2%)

Memory
16.3MiB live, 16.3MiB allocated; 0ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 #s(approx (- (/ -2 (* x x)) 2) #s(literal -2 binary64)) x) x))
(/.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 #s(approx (* (+ (* x x) 1) -2) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 x x) (*.f64 x x))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 #s(approx (* (+ (* x x) 1) -2) (*.f64 #s(literal -2 binary64) (*.f64 x x))) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) #s(literal 2 binary64)) x) x))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
#s(approx (/ (- (- x 1) (- x -1)) (+ (* x x) -1)) (/.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal 4 binary64))))
Outputs
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

4.0ms
x
3.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.6%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.6%1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x)))
Calls

2 calls:

2.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.0%2(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
99.0%2x
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes2.0ms (0.1%)

Memory
5.7MiB live, 5.7MiB allocated; 0ms collecting garbage
Accuracy

Total -0.3b remaining (-1.1%)

Threshold costs -0.3b (-1.1%)

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

2 calls:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
53.1%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
53.1%1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch19.0ms (0.4%)

Memory
-33.4MiB live, 21.4MiB allocated; 7ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
0.010205437036218927
15.548672011994263
Samples
6.0ms128×0valid
Compiler

Compiled 294 to 203 computations (31% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-div: 2.0ms (53.3% of total)
ival-sub: 1.0ms (26.6% of total)
ival-add: 1.0ms (26.6% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify31.0ms (0.7%)

Memory
41.1MiB live, 41.1MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
02366
13166
23966
38764
430762
5257862
Stop Event
node limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))
Outputs
(/.f64 #s(approx (- (- x 1) (- x -1)) #s(literal -2 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal 2 binary64))) #s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) (/.f64 #s(literal -2 binary64) (*.f64 x x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 (- x 1))) #s(literal 2 binary64))

derivations218.0ms (4.9%)

Memory
-40.4MiB live, 195.7MiB allocated; 14ms collecting garbage
Stop Event
fuel
Compiler

Compiled 66 to 25 computations (62.1% saved)

preprocess16.0ms (0.4%)

Memory
25.0MiB live, 25.0MiB allocated; 0ms collecting garbage
Remove

(abs x)

Compiler

Compiled 182 to 86 computations (52.7% saved)

end0.0ms (0%)

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

Profiling

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