2frac (problem 3.3.1)

Time bar (total: 5.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
50%50%50%0%0%0%0%2
75%75%25%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 11 to 8 computations (27.3% saved)

sample931.0ms (17.6%)

Memory
-18.7MiB live, 816.7MiB allocated
Samples
428.0ms3 860×1valid
200.0ms4 396×0valid
Precisions
Click to see histograms. Total time spent on operations: 416.0ms
ival-div: 164.0ms (39.4% of total)
ival-sub: 97.0ms (23.3% of total)
ival-add: 75.0ms (18% of total)
adjust: 68.0ms (16.3% of total)
ival-true: 6.0ms (1.4% of total)
exact: 4.0ms (1% of total)
ival-assert: 3.0ms (0.7% of total)
Bogosity

explain88.0ms (1.7%)

Memory
13.4MiB live, 137.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
640-0-(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
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) x)
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) x))cancellation640
Confusion
Predicted +Predicted -
+640
-0192
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6400
-00192
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0192
164
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
27.0ms238×1valid
13.0ms274×0valid
Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 10.0ms (44.8% of total)
adjust: 4.0ms (17.9% of total)
ival-add: 4.0ms (17.9% of total)
ival-sub: 3.0ms (13.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess22.0ms (0.4%)

Memory
-11.0MiB live, 26.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
12019
25318
310818
416918
521218
622618
069
0109
1159
2239
3329
4449
5649
61059
71479
82139
92479
102569
02569
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
Compiler

Compiled 9 to 6 computations (33.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.9%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0.2%)

Memory
9.4MiB live, 9.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0622
01022
11522
22322
33222
44422
56422
610522
714722
821322
924722
1025622
025622
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
x
(/.f64 #s(literal 1 binary64) x)
Outputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
#s(literal 1 binary64)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
(/.f64 #s(literal 1 binary64) x)

localize28.0ms (0.5%)

Memory
-0.0MiB live, 37.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.01953125
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy14.139199622506075
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Samples
14.0ms119×1valid
8.0ms137×0valid
Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 5.0ms (40.8% of total)
ival-sub: 3.0ms (24.5% of total)
adjust: 2.0ms (16.3% of total)
ival-add: 2.0ms (16.3% 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%)

Memory
2.9MiB live, 2.9MiB allocated
Counts
4 → 24
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
x
(* x (+ 1 (/ 1 x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x))
1.0ms
x
@0
((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x))
0.0ms
x
@inf
((- (/ 1 (+ x 1)) (/ 1 x)) (/ 1 (+ x 1)) (+ x 1) (/ 1 x))

simplify156.0ms (2.9%)

Memory
24.5MiB live, 170.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053229
1150210
2351198
31021194
43180189
55278188
66658188
77477188
87979188
08014186
Stop Event
1×iter limit
1×node limit
Counts
24 → 23
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(+ 1 x)
(/ 1 x)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
x
(* x (+ 1 (/ 1 x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(/ (- 1 (/ 1 x)) x)
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal -1 binary64)) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) x)
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)) x) #s(literal -1 binary64)) x)

rewrite127.0ms (2.4%)

Memory
-25.1MiB live, 100.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
01020
15920
255120
3602220
0942818
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 325
Calls
Call 1
Inputs
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -4 binary64)) (-.f64 (pow.f64 x #s(literal -4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -2 binary64))))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -6 binary64)))) (fma.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -4 binary64))))
(*.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (-.f64 x x) #s(literal 1 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64))))
(*.f64 (*.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (*.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (-.f64 x x) #s(literal 1 binary64))) (-.f64 (-.f64 x x) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64))
(*.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 (fma.f64 x x x) (-.f64 (-.f64 x x) #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))) (/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))))
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(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))
(-.f64 (pow.f64 (+.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x x) #s(literal 1 binary64))))
(-.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x))) (exp.f64 (neg.f64 (log1p.f64 x))))
(-.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x))))
(-.f64 x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x)))) (exp.f64 (neg.f64 (log1p.f64 x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 #s(literal -1 binary64) x))) (exp.f64 (neg.f64 (log1p.f64 x))))
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(+.f64 #s(literal -1 binary64) x)
(+.f64 x #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) x)
(exp.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 x)) #s(literal -1 binary64)))
(exp.f64 (log1p.f64 x))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (neg.f64 (pow.f64 x #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal -1 binary64) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))

eval35.0ms (0.7%)

Memory
17.9MiB live, 55.3MiB allocated
Compiler

Compiled 7 043 to 949 computations (86.5% saved)

prune10.0ms (0.2%)

Memory
-16.3MiB live, 22.0MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New3339342
Fresh000
Picked101
Done000
Total3349343
Accuracy
100.0%
Counts
343 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.6%
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
▶99.9%
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
48.8%
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶48.6%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
51.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
48.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
44.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
▶49.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶48.5%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 250 to 172 computations (31.2% saved)

simplify222.0ms (4.2%)

Memory
-16.6MiB live, 75.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x x)
cost-diff0
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
cost-diff192
(-.f64 x x)
cost-diff192
(-.f64 (-.f64 x x) #s(literal 1 binary64))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
cost-diff0
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
cost-diff0
(/.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
cost-diff0
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
cost-diff128
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
cost-diff192
(-.f64 x x)
cost-diff192
(-.f64 (-.f64 x x) #s(literal 1 binary64))
cost-diff512
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
024152
039123
179123
2142121
3310121
4767121
51415121
61929121
72276121
82593121
93668121
105268121
115654121
125806121
135843121
145861121
155861121
166309121
177311121
08055121
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(-.f64 (-.f64 x x) #s(literal 1 binary64))
(-.f64 x x)
x
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
(-.f64 (-.f64 x x) #s(literal 1 binary64))
(-.f64 x x)
x
#s(literal 1 binary64)
(fma.f64 x x x)
Outputs
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 (-.f64 x x) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 x x)
#s(literal 0 binary64)
x
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x))))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(-.f64 (-.f64 x x) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 x x)
#s(literal 0 binary64)
x
#s(literal 1 binary64)
(fma.f64 x x x)

localize71.0ms (1.3%)

Memory
8.5MiB live, 83.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 x x x)
accuracy0.0
(-.f64 (-.f64 x x) #s(literal 1 binary64))
accuracy0.0
(-.f64 x x)
accuracy0.2702626208724061
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy0.0078125
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy0.01171875
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))
accuracy32.96544578073374
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy14.139199622506075
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy32.965533367047215
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy32.23526966810955
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy0.0
(-.f64 #s(literal -1 binary64) x)
accuracy0.0
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
accuracy0.01953125
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
accuracy0.0859375
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
Samples
32.0ms119×1valid
19.0ms137×0valid
Compiler

Compiled 290 to 47 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 14.0ms (39.9% of total)
ival-sub: 7.0ms (20% of total)
adjust: 6.0ms (17.1% of total)
ival-mult: 4.0ms (11.4% of total)
ival-add: 3.0ms (8.6% of total)
ival-neg: 1.0ms (2.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
3.7MiB live, 3.7MiB allocated
Counts
17 → 48
Calls
Call 1
Inputs
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
(-.f64 (-.f64 x x) #s(literal 1 binary64))
(-.f64 x x)
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 x x x)
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
Outputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
0
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- (* -1 (pow x 2)) 1) x)
x
(* x (+ 1 x))
(- (* -1 x) 1)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 (/ 1 x))))
(* x (- (/ 1 x) 1))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(* -1 (* x (- 1 (/ 1 x))))
Calls

3 calls:

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

simplify136.0ms (2.6%)

Memory
-7.2MiB live, 105.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
080421
1237379
2656359
32622353
46502353
08114342
Stop Event
1×iter limit
1×node limit
Counts
48 → 47
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
0
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- (* -1 (pow x 2)) 1) x)
x
(* x (+ 1 x))
(- (* -1 x) 1)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(* -1 x)
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (/ 1 x)))
(* -1 (* x (+ 1 (/ 1 x))))
(* x (- (/ 1 x) 1))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(* -1 (/ (- (/ 1 x) 1) x))
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(* -1 (* x (- 1 (/ 1 x))))
Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 1 binary64)) x))
-1
#s(literal -1 binary64)
0
#s(literal 0 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1 x))) 1)
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (- x 1)))) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- (* -1 (pow x 2)) 1) x)
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
x
(* x (+ 1 x))
(fma.f64 x x x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x)) x) x)
(/ (- (/ 1 x) 1) x)
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x)) x)
(/ (- 1 (/ 1 x)) x)
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) x)
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x)) x) x)
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x)) x)
(* -1 (/ (- (/ 1 x) 1) x))
(/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) x) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x)
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)

rewrite188.0ms (3.6%)

Memory
16.9MiB live, 206.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024129
039106
121298
2153098
0920895
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
17 → 1 201
Calls
Call 1
Inputs
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
(-.f64 (-.f64 x x) #s(literal 1 binary64))
(-.f64 x x)
(neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) x)
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 x x x)
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
(-.f64 #s(literal 1 binary64) x)
Outputs
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) x) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) x) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) x) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) x) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) x) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (fma.f64 x x x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) x) x))
(*.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) x))
(*.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (exp.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
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(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (fma.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x) (*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x)))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 x)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (*.f64 x x))) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64))) (*.f64 x x))) (*.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) #s(literal 0 binary64))) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (*.f64 x x))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (*.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 (-.f64 #s(literal -1 binary64) x) (*.f64 x x))) (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) x) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (log1p.f64 x))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(-.f64 (/.f64 (*.f64 x x) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))))
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(-.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) x)) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 #s(literal 1 binary64) x)
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
(exp.f64 (log1p.f64 x))

eval137.0ms (2.6%)

Memory
-1.8MiB live, 238.3MiB allocated
Compiler

Compiled 20 689 to 2 746 computations (86.7% saved)

prune21.0ms (0.4%)

Memory
32.6MiB live, 71.3MiB allocated
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New89210902
Fresh314
Picked325
Done000
Total89813911
Accuracy
100.0%
Counts
911 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
96.4%
(/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)
▶99.9%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
99.6%
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
48.6%
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x)
✓48.6%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
25.6%
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
93.9%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) x))
▶51.4%
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶51.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓49.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶2.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
2.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
▶2.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
Compiler

Compiled 392 to 267 computations (31.9% saved)

simplify229.0ms (4.3%)

Memory
-34.0MiB live, 126.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
cost-diff384
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 x x))
cost-diff0
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
cost-diff0
#s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
#s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
cost-diff512
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032164
042159
177159
2136159
3309159
4820159
51533159
62112159
72445159
82778159
93811159
105711159
116961159
127447159
137894159
08034157
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
#s(literal -1 binary64)
(*.f64 x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x

localize102.0ms (1.9%)

Memory
3.3MiB live, 121.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy0.1328125
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy30.830693150988314
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
accuracy0.0
(*.f64 x x)
accuracy0.3210438708724061
(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy30.830693150988314
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy0.0
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy30.053305320522565
#s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy32.96544578073374
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
accuracy0.0
(*.f64 x x)
accuracy30.858161584340333
#s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x))
accuracy32.96544578073374
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
accuracy0.0
(-.f64 #s(literal -1 binary64) x)
accuracy0.01953125
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
accuracy0.0859375
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
Samples
52.0ms119×1valid
22.0ms137×0valid
Compiler

Compiled 277 to 61 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-mult: 18.0ms (33.7% of total)
ival-div: 16.0ms (30% of total)
ival-sub: 9.0ms (16.9% of total)
adjust: 6.0ms (11.2% of total)
ival-add: 3.0ms (5.6% of total)
ival-neg: 1.0ms (1.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.8MiB live, 5.8MiB allocated
Counts
15 → 35
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 #s(literal -1 binary64) x)
Outputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
(- (* -1 x) 1)
(pow x 2)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
x
(* x (- 1 (/ 1 x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(* -1 (* x (- (/ 1 x) 1)))
Calls

3 calls:

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

simplify126.0ms (2.4%)

Memory
14.2MiB live, 134.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
065299
1191277
2548258
31709254
45377236
57933236
08007229
Stop Event
1×iter limit
1×node limit
Counts
35 → 34
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
(- (* -1 x) 1)
(pow x 2)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
x
(* x (- 1 (/ 1 x)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(* -1 (* x (- (/ 1 x) 1)))
Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
-1
#s(literal -1 binary64)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1 x))) 1)
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (- x 1)))) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(/ (- (/ 1 x) 1) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(* (pow x 2) (- 1 (/ 1 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x)
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite49.0ms (0.9%)

Memory
5.4MiB live, 43.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032151
042144
1215136
01526131
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
15 → 195
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x))
(*.f64 x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 #s(literal -1 binary64) x)
Outputs
(*.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #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 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3 binary64)))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64)))) (neg.f64 (+.f64 (pow.f64 x #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 x #s(literal -3 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (+.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(/.f64 (-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (pow.f64 x #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 x #s(literal -3 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) x)
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 (-.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) x))
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #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)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 x #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)) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x x)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
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eval24.0ms (0.4%)

Memory
4.3MiB live, 42.1MiB allocated
Compiler

Compiled 3 931 to 639 computations (83.7% saved)

prune11.0ms (0.2%)

Memory
-18.0MiB live, 20.4MiB allocated
Pruning

14 alts after pruning (7 fresh and 7 done)

PrunedKeptTotal
New2024206
Fresh336
Picked055
Done022
Total20514219
Accuracy
100.0%
Counts
219 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
▶48.6%
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64))) x)
▶99.6%
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
✓48.6%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
93.9%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) x))
✓51.4%
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
51.8%
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
✓51.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓49.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓2.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
▶2.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
✓2.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
▶3.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
▶3.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
Compiler

Compiled 389 to 260 computations (33.2% saved)

simplify205.0ms (3.9%)

Memory
-25.7MiB live, 85.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
034226
041218
162218
291218
3196218
4534218
51320218
61904218
72328218
82870218
94090218
106097218
116703218
126853218
136912218
08195212
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- (- x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64))) x)
#s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
Outputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- (- x x) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 x x (neg.f64 x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 x x (neg.f64 x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(fma.f64 x x (neg.f64 x))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64))) x)
#s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)

localize93.0ms (1.8%)

Memory
18.2MiB live, 89.6MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.0859375
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64))) x)
accuracy33.26613172378442
#s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64)))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.0078125
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy30.107005434774702
#s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy32.96544578073374
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
accuracy0.0
(-.f64 #s(literal 1 binary64) x)
accuracy30.053305320522565
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x)))
accuracy32.44203559546674
#s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))
accuracy32.96544578073374
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
accuracy30.053305320522565
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64)))
accuracy32.796012212909204
#s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))
accuracy32.96544578073374
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
accuracy0.0
(fma.f64 x x x)
accuracy0.0
#s(approx (- (- x x) 1) #s(literal -1 binary64))
accuracy0.2702626208724061
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
Samples
39.0ms137×0valid
39.0ms119×1valid
Compiler

Compiled 352 to 60 computations (83% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-mult: 30.0ms (47.7% of total)
ival-div: 12.0ms (19.1% of total)
ival-sub: 9.0ms (14.3% of total)
adjust: 7.0ms (11.1% of total)
ival-add: 5.0ms (8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated
Counts
16 → 38
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- (- x x) 1) #s(literal -1 binary64))
(fma.f64 x x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64))) x)
#s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64)))
Outputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
x
(* x (+ 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(* -1 x)
(* x (- x 1))
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(* x (- (/ 1 x) 1))
(* x (- 1 (/ 1 x)))
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
Calls

3 calls:

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

simplify144.0ms (2.7%)

Memory
-9.0MiB live, 141.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066310
1195289
2555273
31766269
45576251
08225242
Stop Event
1×iter limit
1×node limit
Counts
38 → 37
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
-1
x
(* x (+ 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(* -1 x)
(* x (- x 1))
(- x 1)
(- (* x (+ 1 (* -1 x))) 1)
(- (* x (+ 1 (* x (- x 1)))) 1)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(* x (- (/ 1 x) 1))
(* x (- 1 (/ 1 x)))
(/ (- (/ 1 x) 1) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (- 1 (/ 1 x)) x))
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
Outputs
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- x 1) x)
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
-1
#s(literal -1 binary64)
x
(* x (+ 1 x))
(fma.f64 x x x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(fma.f64 x x (neg.f64 x))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(- (* x (+ 1 (* -1 x))) 1)
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal -1 binary64))
(- (* x (+ 1 (* x (- x 1)))) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* (pow x 2) (- 1 (/ 1 x)))
(fma.f64 x x (neg.f64 x))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(/ (- (/ 1 x) 1) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) x)
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x)
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (/ (- 1 (/ 1 x)) x))
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)
(* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x)
(* -1 (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (fma.f64 x x #s(literal 1 binary64)))

rewrite160.0ms (3%)

Memory
18.4MiB live, 180.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034214
041205
1197196
21469188
09802186
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 755
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- (- x x) 1) #s(literal -1 binary64))
(fma.f64 x x x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64)))
#s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(-.f64 x #s(literal 1 binary64))
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64))) x)
#s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) x) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (*.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -2 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal -2 binary64))) (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(approx (- (- x x) 1) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) x))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (neg.f64 x)))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (pow.f64 (/.f64 x #s(approx (- (- x x) 1) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 x x x) #s(approx (- (- x x) 1) #s(literal -1 binary64))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)))
(pow.f64 (/.f64 (fma.f64 x x x) #s(approx (- (- x x) 1) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) #s(literal 1 binary64))) (fma.f64 x x x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64))))) (fma.f64 x x x))
(/.f64 (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 (*.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x x x))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)))) (fma.f64 x x x))
(/.f64 (neg.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64))) (fma.f64 x x x))
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x x) #s(approx (- (- x x) 1) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (*.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x x) #s(approx (- (- x x) 1) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) #s(approx (- (- x x) 1) #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x x)) (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x x) #s(approx (- (- x x) 1) #s(literal -1 binary64)))) #s(literal -1 binary64)))
#s(approx (- (- x x) 1) #s(literal -1 binary64))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 x (fma.f64 x x (-.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 x x x) x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (fma.f64 x x (-.f64 #s(literal -1 binary64) x))))
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x x) (fma.f64 x x x)) (fma.f64 x x x))
(*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) #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 x))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 x x))))
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal -2 binary64))))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(*.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x x) (fma.f64 x x x)))
(*.f64 (fma.f64 x x x) #s(literal -1 binary64))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (fma.f64 x x x))
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 x (-.f64 #s(literal -1 binary64) x))
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 x x x)) x) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (fma.f64 (*.f64 (/.f64 x (fma.f64 x x x)) x) (*.f64 (/.f64 x (fma.f64 x x x)) x) (*.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (*.f64 (/.f64 x (fma.f64 x x x)) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 x x x)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 x x)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 (neg.f64 (*.f64 x x)) (neg.f64 (*.f64 x x))) (*.f64 (neg.f64 x) (neg.f64 (*.f64 x x))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 x (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))) (fma.f64 x x x))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (*.f64 x x))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))
(/.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 #s(literal -1 binary64) x)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)))) (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x x x))
(/.f64 (-.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 x x x) #s(literal -1 binary64))
(/.f64 (fma.f64 x x x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
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(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x) (exp.f64 (neg.f64 (log1p.f64 x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal -1 binary64) x))) (neg.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (*.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)) x)))
(+.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal -1 binary64) (neg.f64 x))
(+.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(+.f64 x #s(literal -1 binary64))
(+.f64 x #s(literal 1 binary64))
(exp.f64 (log1p.f64 x))
(*.f64 (/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)))) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) x) #s(literal 1 binary64))
(*.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x))))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) x))
(pow.f64 (/.f64 x #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (*.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (neg.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x))) (neg.f64 x))
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) (neg.f64 (neg.f64 x)))
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x))))))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x))))
(neg.f64 (/.f64 (neg.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x))) x))
(neg.f64 (/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) (neg.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)))) #s(literal -1 binary64)))
#s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x))

eval73.0ms (1.4%)

Memory
-9.2MiB live, 142.3MiB allocated
Compiler

Compiled 13 425 to 1 552 computations (88.4% saved)

prune25.0ms (0.5%)

Memory
-1.2MiB live, 88.9MiB allocated
Pruning

16 alts after pruning (6 fresh and 10 done)

PrunedKeptTotal
New4384442
Fresh022
Picked145
Done167
Total44016456
Accuracy
100.0%
Counts
456 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
✓48.6%
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64))) x)
48.7%
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) x)
✓99.6%
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
✓48.6%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
93.9%
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) x))
✓51.4%
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
51.8%
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
✓51.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓49.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓2.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
3.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 x #s(literal -1 binary64)))))
✓3.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
2.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal -1 binary64) x))))
✓3.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
3.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x))))
Compiler

Compiled 796 to 314 computations (60.6% saved)

regimes17.0ms (0.3%)

Memory
-4.3MiB live, 34.8MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64))) x)
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))) x)
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) x) (-.f64 #s(literal 1 binary64) x))
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 (/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)))) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) x)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
Calls

2 calls:

9.0ms
x
7.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.9%1x
99.9%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes12.0ms (0.2%)

Memory
20.3MiB live, 20.3MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64))) x)
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
Outputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
Calls

2 calls:

6.0ms
x
5.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes16.0ms (0.3%)

Memory
-24.4MiB live, 14.2MiB allocated
Counts
16 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64))) x)
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
Outputs
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
Calls

2 calls:

10.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
97.4%3x
97.4%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes10.0ms (0.2%)

Memory
11.9MiB live, 11.9MiB allocated
Counts
15 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64))) x)
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
Outputs
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
Calls

2 calls:

5.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
97.1%3x
97.1%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes9.0ms (0.2%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(approx (neg (/ (- (- x x) 1) (- -1 x))) (-.f64 x #s(literal 1 binary64))) x)
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(approx (/ 1 (- -1 x)) (-.f64 x #s(literal 1 binary64))) x)
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
Calls

2 calls:

4.0ms
x
4.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
49.6%1x
49.6%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 10 to 7 computations (30% saved)

regimes19.0ms (0.4%)

Memory
-29.7MiB live, 12.4MiB allocated
Accuracy

Total -1.3b remaining (-2.1%)

Threshold costs -1.3b (-2.1%)

Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal -1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 x #s(literal -1 binary64)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
Calls

2 calls:

15.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
3.0ms
x
Results
AccuracySegmentsBranch
3.3%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
3.3%1x
Compiler

Compiled 10 to 7 computations (30% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
44.96480152577797
0.0ms
-9792423718.605675
-0.38353475744901777
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
44.96480152577797
0.0ms
-9792423718.605675
-0.38353475744901777
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify26.0ms (0.5%)

Memory
15.6MiB live, 52.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054195
166195
280195
390195
492195
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -5000000000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -5000000000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) x)) x)
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -5000000000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))))
(if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal -5000000000 binary64)) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x)) (if (<=.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (neg (/ (- (- x x) 1) (- -1 x))) x) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))))

soundness1.7s (32.1%)

Memory
19.8MiB live, 677.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053229
1150210
2351198
31021194
43180189
55278188
66658188
77477188
87979188
08014186
065299
1191277
2548258
31709254
45377236
57933236
08007229
024129
039106
121298
2153098
0920895
0620
01020
15920
255120
3602220
0942818
080421
1237379
2656359
32622353
46502353
08114342
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 295 to 125 computations (57.6% saved)

preprocess50.0ms (0.9%)

Memory
-16.7MiB live, 70.3MiB allocated
Compiler

Compiled 422 to 136 computations (67.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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