2frac (problem 3.3.1)

Time bar (total: 5.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
2.9MiB live, 2.9MiB 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)

sample850.0ms (15.4%)

Memory
26.0MiB live, 955.7MiB allocated
Samples
386.0ms3 888×1valid
199.0ms4 368×0valid
Precisions
Click to see histograms. Total time spent on operations: 395.0ms
ival-div: 171.0ms (43.3% of total)
ival-add: 80.0ms (20.3% of total)
adjust: 65.0ms (16.5% of total)
ival-sub: 64.0ms (16.2% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain120.0ms (2.2%)

Memory
14.5MiB live, 127.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
7157(-9.411964616656358e+229)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))cancellation1280
Confusion
Predicted +Predicted -
+710
-57128
Precision
0.5546875
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+7100
-570128
Precision?
0.5546875
Recall?
1.0
Freqs
test
numberfreq
0128
1128
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
25.0ms240×1valid
14.0ms272×0valid
Compiler

Compiled 101 to 45 computations (55.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 11.0ms (46.1% of total)
adjust: 4.0ms (16.8% of total)
ival-add: 4.0ms (16.8% of total)
ival-sub: 3.0ms (12.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess19.0ms (0.3%)

Memory
22.9MiB live, 22.9MiB 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
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.3%
(-.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 (0.1%)

Memory
7.6MiB live, 7.6MiB 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)

localize30.0ms (0.5%)

Memory
-5.1MiB live, 39.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy15.780974872636474
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Samples
17.0ms120×1valid
6.0ms136×0valid
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 (43.1% of total)
adjust: 2.0ms (17.2% of total)
ival-add: 2.0ms (17.2% of total)
ival-sub: 2.0ms (17.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
-35.9MiB live, 2.5MiB 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))

simplify153.0ms (2.8%)

Memory
13.4MiB live, 137.2MiB 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)

rewrite126.0ms (2.3%)

Memory
-0.9MiB live, 112.0MiB 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)))

eval46.0ms (0.8%)

Memory
11.0MiB live, 55.1MiB allocated
Compiler

Compiled 7 043 to 949 computations (86.5% saved)

prune11.0ms (0.2%)

Memory
-16.5MiB live, 21.0MiB allocated
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3357342
Fresh000
Picked011
Done000
Total3358343
Accuracy
100.0%
Counts
343 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
✓75.3%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
▶50.9%
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
▶50.7%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
50.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
41.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
▶51.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶50.4%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 205 to 140 computations (31.7% saved)

simplify149.0ms (2.7%)

Memory
6.2MiB live, 81.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
022137
034127
157127
292127
3201127
4551127
51402127
62070127
72464127
82879127
94012127
105796127
116388127
126586127
136657127
08184127
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.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)
#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
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.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 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
Outputs
(/.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)
#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
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
(-.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.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)))
#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)

localize77.0ms (1.4%)

Memory
27.5MiB live, 71.2MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy0.00390625
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x))
accuracy0.0078125
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy31.722601349763664
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy15.780974872636474
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
accuracy31.900629086697833
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
accuracy0
(/.f64 #s(literal 1 binary64) x)
accuracy15.780974872636474
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
accuracy31.547493753485067
#s(approx (/ 1 (+ x 1)) #s(literal 1 binary64))
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy30.866297164412703
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy0
(fma.f64 x x x)
accuracy0
(-.f64 (-.f64 x x) #s(literal 1 binary64))
accuracy0
(-.f64 x x)
accuracy0.3056345864330446
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
Samples
32.0ms120×1valid
16.0ms136×0valid
Compiler

Compiled 252 to 41 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-div: 12.0ms (37.7% of total)
ival-sub: 6.0ms (18.9% of total)
adjust: 5.0ms (15.7% of total)
ival-mult: 4.0ms (12.6% of total)
ival-add: 3.0ms (9.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
-34.1MiB live, 3.9MiB allocated
Counts
15 → 37
Calls
Call 1
Inputs
(-.f64 (-.f64 x x) #s(literal 1 binary64))
(-.f64 x x)
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 x x 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)
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
(-.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)
Outputs
-1
0
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
x
(* x (+ 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- (* -1 (pow x 2)) 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))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 x)
(* x (- (/ 1 x) 1))
(* (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 (/ 1 (pow x 2)))))
(/ (- (* -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))
(* -1 (* x (- 1 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@0
((- (- x x) 1) (- x x) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) 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 1)) (- 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (* (- (/ -1 x) x) (- 1 x)) (- (/ -1 x) x))
1.0ms
x
@-inf
((- (- x x) 1) (- x x) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) 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 1)) (- 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (* (- (/ -1 x) x) (- 1 x)) (- (/ -1 x) x))
1.0ms
x
@inf
((- (- x x) 1) (- x x) (/ (- (- x x) 1) (+ (* x x) x)) (+ (* x x) 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 1)) (- 1 x) (- (/ 1 (+ x 1)) (/ 1 x)) (* (- (/ -1 x) x) (- 1 x)) (- (/ -1 x) x))

simplify119.0ms (2.2%)

Memory
35.6MiB live, 109.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073313
1215292
2604266
31948262
45782244
08084236
Stop Event
1×iter limit
1×node limit
Counts
37 → 36
Calls
Call 1
Inputs
-1
0
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
x
(* x (+ 1 x))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))
(/ 1 x)
(/ (- (* -1 (pow x 2)) 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))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
(/ (- 1 (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) x)
(/ (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) x)
(* -1 x)
(* x (- (/ 1 x) 1))
(* (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 (/ 1 (pow x 2)))))
(/ (- (* -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))
(* -1 (* x (- 1 (/ 1 x))))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(* (pow x 2) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))))
Outputs
-1
#s(literal -1 binary64)
0
#s(literal 0 binary64)
(/ -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 x #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 (- (* 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)
(/ -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) x) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x 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 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.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 (/.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))
(* -1 (* x (+ 1 (/ 1 (pow x 2)))))
(-.f64 (/.f64 #s(literal -1 binary64) x) 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) x) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #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 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(* -1 (* x (- 1 (/ 1 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 (/.f64 #s(literal 1 binary64) x) x) (-.f64 x #s(literal 1 binary64)))

rewrite171.0ms (3.1%)

Memory
-14.9MiB live, 139.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022117
034107
1180101
21341101
0939597
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 440
Calls
Call 1
Inputs
(-.f64 (-.f64 x x) #s(literal 1 binary64))
(-.f64 x x)
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
(fma.f64 x x 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)
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x))
(-.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)
Outputs
#s(literal -1 binary64)
#s(literal 0 binary64)
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (fma.f64 x x x))
(*.f64 (/.f64 #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) (-.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))) (pow.f64 (+.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))) #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))) (pow.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))
(*.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))
(pow.f64 (neg.f64 (fma.f64 x x x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.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 -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x))))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 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)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -3 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)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 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)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 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)))) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 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)))) (/.f64 (pow.f64 x #s(literal -3 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)))) (*.f64 (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 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)))) (/.f64 (pow.f64 x #s(literal -3 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))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (fma.f64 x x x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) #s(literal 3 binary64))) (fma.f64 (/.f64 x (fma.f64 x x x)) (/.f64 x (fma.f64 x x x)) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x)) (*.f64 (/.f64 x (fma.f64 x x x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x x))))))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) x) (exp.f64 (neg.f64 (log1p.f64 x)))))))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x x x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x x) #s(literal -2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x x) #s(literal -3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal -2 binary64)) #s(literal 0 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (neg.f64 (log1p.f64 x)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 binary64)) (pow.f64 x #s(literal -3 binary64))))) (neg.f64 (neg.f64 (+.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))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (neg.f64 x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x x))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (+.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)))) (pow.f64 x #s(literal -2 binary64)))) (*.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 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -3 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)))) (*.f64 (+.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 x #s(literal -3 binary64)))) (*.f64 (+.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))) (+.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)))))
(/.f64 (-.f64 (*.f64 x (fma.f64 x x x)) (*.f64 (fma.f64 x x x) (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 x)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 (neg.f64 x))))
(/.f64 (-.f64 x (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) x))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x))) (-.f64 #s(literal 1 binary64) x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 x)) (*.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) x) (*.f64 x (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x) x) (fma.f64 x x x))
(/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal -1 binary64))) (*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))))
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 x)) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 (neg.f64 x))))
(/.f64 (fma.f64 #s(literal -1 binary64) x (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x x)))
(/.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 x) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 (neg.f64 x))))
(/.f64 (+.f64 x (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) x))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))) (neg.f64 x)))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (neg.f64 x))))
(/.f64 (+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (fma.f64 x x x))
(/.f64 (fma.f64 #s(literal 1 binary64) (neg.f64 x) (-.f64 #s(literal 1 binary64) x)) (neg.f64 (fma.f64 x x x)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x x) #s(literal -2 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(/.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)) #s(literal 0 binary64))))
(/.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 -2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x x x)))))
(/.f64 (-.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 -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))))
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(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) (fma.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) (*.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) x) x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (fma.f64 x x (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x) (+.f64 (/.f64 #s(literal -1 binary64) x) x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) (*.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x))) (*.f64 (neg.f64 (neg.f64 x)) #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (pow.f64 x #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 x)) x)) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x))) (neg.f64 x))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(/.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))) (neg.f64 (+.f64 (/.f64 #s(literal -1 binary64) x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)) (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)) (+.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (-.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) x) (*.f64 x (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) x) x)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1 binary64) x) x)))
(-.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal -1 binary64) x) x)
(+.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 x))

eval122.0ms (2.2%)

Memory
13.7MiB live, 102.0MiB allocated
Compiler

Compiled 15 349 to 1 738 computations (88.7% saved)

prune15.0ms (0.3%)

Memory
0.6MiB live, 36.2MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New5635568
Fresh112
Picked235
Done011
Total56610576
Accuracy
100.0%
Counts
576 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.5%
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
✓75.3%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
✓50.9%
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
✓50.7%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
41.1%
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
▶50.6%
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶50.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓51.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶2.4%
#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)))
Compiler

Compiled 274 to 180 computations (34.3% saved)

simplify154.0ms (2.8%)

Memory
-8.1MiB live, 77.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 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 (/ (- (- x x) 1) (+ (* x 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 #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
(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
032179
041167
166167
2103167
3225167
4591167
51404167
62065167
72463167
82914167
94012167
105843167
116359167
126485167
136528167
08267167
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)) (*.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)
#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 (/ (- (- x x) 1) (+ (* x 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 #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)) (*.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)
#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)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) 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 x x (-.f64 #s(literal 1 binary64) x)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
#s(approx (/ (- (- x x) 1) (+ (* x 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

localize77.0ms (1.4%)

Memory
20.7MiB live, 131.5MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(/.f64 #s(literal -1 binary64) x)
accuracy0.14453125
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy31.34695415682484
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
accuracy0
(*.f64 x x)
accuracy0.3407908364330446
(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy31.34695415682484
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy0
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
accuracy0
(-.f64 x #s(literal 1 binary64))
accuracy31.026589189521207
#s(approx (* (- (/ -1 x) x) (- 1 x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
accuracy31.722601349763664
#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
(-.f64 x #s(literal 1 binary64))
accuracy0
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy30.952182041044004
#s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy31.722601349763664
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
accuracy0
(fma.f64 x x x)
accuracy0
#s(approx (- (- x x) 1) #s(literal -1 binary64))
accuracy0.3056345864330446
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
Samples
39.0ms120×1valid
23.0ms136×0valid
Compiler

Compiled 303 to 57 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 46.0ms
ival-div: 15.0ms (32.7% of total)
ival-sub: 11.0ms (24% of total)
adjust: 8.0ms (17.4% of total)
ival-mult: 7.0ms (15.3% of total)
ival-add: 5.0ms (10.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-33.6MiB live, 14.6MiB allocated
Counts
16 → 28
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)) (*.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))
#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))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(*.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
(* x (+ 1 x))
(* -1 x)
(* x (- x 1))
(- x 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(/ -1 (pow x 2))
(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) (+ 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 (/ 1 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 x) 1)))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
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) (- x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (* (- (/ -1 x) x) (- 1 x)) (+ (* (- x 1) x) 1) (/ (- (- x x) 1) (+ (* x x) x)) (/ -1 (* x x)) (* x x) (/ (/ -1 x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x))
4.0ms
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) (- x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (* (- (/ -1 x) x) (- 1 x)) (+ (* (- x 1) x) 1) (/ (- (- x x) 1) (+ (* x x) x)) (/ -1 (* x x)) (* x x) (/ (/ -1 x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -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) (- x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (* (- (/ -1 x) x) (- 1 x)) (+ (* (- x 1) x) 1) (/ (- (- x x) 1) (+ (* x x) x)) (/ -1 (* x x)) (* x x) (/ (/ -1 x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ -1 x))

simplify118.0ms (2.1%)

Memory
22.2MiB live, 136.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061205
1179195
2509183
31625181
45132167
08110162
Stop Event
1×iter limit
1×node limit
Counts
28 → 27
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 x)
(* x (- x 1))
(- x 1)
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(/ -1 (pow x 2))
(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) (+ 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 (/ 1 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 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
(* x (+ 1 x))
(fma.f64 x x x)
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(- x 1)
(-.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 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(pow x 2)
(*.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) 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 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x 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)))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) 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) 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 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite223.0ms (4%)

Memory
-14.3MiB live, 102.7MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032166
041150
1199140
21423138
09913138
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 592
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)) (*.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))
#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))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(*.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 #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 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) x))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (neg.f64 x)))
(*.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))) (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 #s(literal 0 binary64) (/.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 (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (fma.f64 x x x) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 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 (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)) (-.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 #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 x (-.f64 x #s(literal 1 binary64))))
(*.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 x) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) 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) x) (/.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (fma.f64 x x x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 x x 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)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.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)) (-.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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 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 (-.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 (fma.f64 x x #s(literal -1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (exp.f64 (neg.f64 (log1p.f64 x))))
(*.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 (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) (*.f64 #s(literal -1 binary64) (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))) (/.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))) (/.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))) (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 (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)) (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.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) (+.f64 x (-.f64 #s(literal 1 binary64) 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 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
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(fma.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) #s(literal 1 binary64))
(fma.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))))) #s(literal 1 binary64))
(fma.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))))) #s(literal 1 binary64))
(fma.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)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.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))) #s(literal 1 binary64))
(fma.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))) #s(literal 1 binary64))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x x x) (/.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x x) (+.f64 x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (fma.f64 x x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 x (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x x x)))) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 x x x)))))
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x x))
(+.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(+.f64 (fma.f64 x x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (fma.f64 x x x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (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)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(*.f64 (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)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 x))) (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 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)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(pow.f64 (neg.f64 x) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (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) (neg.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (neg.f64 x))
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal -1 binary64)))

eval127.0ms (2.3%)

Memory
24.9MiB live, 61.9MiB allocated
Compiler

Compiled 13 860 to 1 617 computations (88.3% saved)

prune50.0ms (0.9%)

Memory
-18.5MiB live, 30.4MiB allocated
Pruning

14 alts after pruning (6 fresh and 8 done)

PrunedKeptTotal
New4896495
Fresh101
Picked145
Done044
Total49114505
Accuracy
100.0%
Counts
505 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
✓75.3%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
✓50.9%
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
✓50.7%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓50.6%
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
▶51.0%
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
✓50.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓51.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓2.4%
#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))))
▶3.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
3.3%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x)))
▶3.0%
#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))))
▶3.0%
#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 428 to 273 computations (36.2% saved)

simplify157.0ms (2.8%)

Memory
-16.3MiB live, 60.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038261
044257
176257
2130257
3300257
4776257
51615257
62300257
72748257
83849257
95993257
107288257
117726257
08036251
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#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) (neg.f64 x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x)))
#s(approx (* (- x 1) x) (neg.f64 x))
(neg.f64 x)
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) 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 #s(literal 1 binary64) (fma.f64 x x x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x x))
#s(literal 1 binary64)
(fma.f64 x x x)
x
Outputs
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
#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) (neg.f64 x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x)))
#s(approx (* (- x 1) x) (neg.f64 x))
(neg.f64 x)
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) 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 #s(literal 1 binary64) (fma.f64 x x x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x x))
#s(literal 1 binary64)
(fma.f64 x x x)
x

localize82.0ms (1.5%)

Memory
19.7MiB live, 57.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x x x)
accuracy0
(-.f64 #s(literal 1 binary64) (fma.f64 x x x))
accuracy31.722601349763664
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))))
accuracy62.81626388570601
#s(approx (* (- (/ -1 x) x) (- 1 x)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
accuracy0
(-.f64 #s(literal 1 binary64) x)
accuracy31.026589189521207
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x)))
accuracy31.142155888915358
#s(approx (+ (* (- x 1) x) 1) (-.f64 #s(literal 1 binary64) x))
accuracy31.722601349763664
#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))))
accuracy0
(neg.f64 x)
accuracy30.952182041044004
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x)))
accuracy31.527883070021108
#s(approx (* (- x 1) x) (neg.f64 x))
accuracy31.722601349763664
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x))))
accuracy31.026589189521207
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64)))
accuracy31.423521921952336
#s(approx (+ (* (- x 1) x) 1) #s(literal 1 binary64))
accuracy31.722601349763664
#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
(pow.f64 x #s(literal -2 binary64))
accuracy0
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
accuracy31.34695415682484
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
Samples
39.0ms120×1valid
28.0ms136×0valid
Compiler

Compiled 398 to 65 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 45.0ms
ival-sub: 10.0ms (22% of total)
ival-div: 9.0ms (19.8% of total)
adjust: 8.0ms (17.6% of total)
ival-mult: 7.0ms (15.4% of total)
ival-add: 5.0ms (11% of total)
ival-pow: 4.0ms (8.8% of total)
ival-neg: 2.0ms (4.4% 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
3.3MiB live, 3.3MiB allocated
Counts
18 → 32
Calls
Call 1
Inputs
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
#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) (neg.f64 x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x)))
#s(approx (* (- x 1) x) (neg.f64 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) 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 #s(literal 1 binary64) (fma.f64 x x x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 x x x)
Outputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ 1 (pow x 2))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(* -1 x)
(* x (- x 1))
(+ 1 (* x (- (* -1 x) 1)))
x
(* x (+ 1 x))
(/ (- (/ 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 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(* x (- (/ 1 x) 1))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))))
(* (pow x 2) (+ 1 (/ 1 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))))
(* (pow x 2) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1))
Calls

3 calls:

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

simplify179.0ms (3.2%)

Memory
-5.9MiB live, 73.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
070246
1203233
2588214
31919212
45506198
08118190
Stop Event
1×iter limit
1×node limit
Counts
32 → 31
Calls
Call 1
Inputs
(/ -1 x)
(/ (- x 1) x)
(/ (- (* x (+ 1 (* -1 x))) 1) x)
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(/ -1 (pow x 2))
(/ 1 (pow x 2))
1
(+ 1 (* -1 x))
(+ 1 (* x (- x 1)))
(* -1 x)
(* x (- x 1))
(+ 1 (* x (- (* -1 x) 1)))
x
(* x (+ 1 x))
(/ (- (/ 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 (pow x 2))) (/ 1 x)))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))))
(* x (- (/ 1 x) 1))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))))
(* (pow x 2) (+ 1 (/ 1 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))))
(* (pow x 2) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1))
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 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1 x))
(-.f64 #s(literal 1 binary64) x)
(+ 1 (* x (- x 1)))
(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(fma.f64 x x (neg.f64 x))
(+ 1 (* x (- (* -1 x) 1)))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64))
x
(* x (+ 1 x))
(fma.f64 x 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 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 (neg.f64 x))
(* (pow x 2) (- (+ 1 (/ 1 (pow x 2))) (/ 1 x)))
(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
(* (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)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 1 (/ 1 x))))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x 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 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(* (pow x 2) (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))))
(fma.f64 x x (-.f64 #s(literal 1 binary64) x))
(* (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)
(* (pow x 2) (- (* -1 (/ (- 1 (/ 1 x)) x)) 1))
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal 1 binary64))

rewrite165.0ms (3%)

Memory
23.6MiB live, 99.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038253
044249
1207237
21546228
09330228
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 322
Calls
Call 1
Inputs
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(pow.f64 x #s(literal -2 binary64))
#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) (neg.f64 x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x)))
#s(approx (* (- x 1) x) (neg.f64 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) 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 #s(literal 1 binary64) (fma.f64 x x x))))
#s(approx (* (- (/ -1 x) x) (- 1 x)) (-.f64 #s(literal 1 binary64) (fma.f64 x x x)))
(-.f64 #s(literal 1 binary64) (fma.f64 x x x))
(fma.f64 x x x)
Outputs
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (pow.f64 x #s(literal -2 binary64)))) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -4 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -6 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -4 binary64))) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -6 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64))))))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))) (/.f64 (pow.f64 x #s(literal -4 binary64)) (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))))) (/.f64 (pow.f64 x #s(literal -6 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal -4 binary64)) (*.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))))))
(-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -2 binary64)))
(+.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 (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)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 x))
(pow.f64 (neg.f64 x) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))
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(*.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)) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))) (/.f64 (fma.f64 x x x) x))
(*.f64 (/.f64 (fma.f64 x x x) x) (/.f64 (fma.f64 x x x) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.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) x) (/.f64 (fma.f64 x x x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.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 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (exp.f64 (neg.f64 (log1p.f64 x)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.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 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x x) #s(literal 1 binary64)) (/.f64 (fma.f64 x x x) (fma.f64 x x x)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) x))
(*.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 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(*.f64 #s(literal 1 binary64) (fma.f64 x x x))
(*.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(*.f64 x (-.f64 #s(literal 1 binary64) x))
(pow.f64 (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 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 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.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 (*.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)))) (neg.f64 (neg.f64 (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 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 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 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) x) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(/.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 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.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 (-.f64 x #s(literal 1 binary64)) 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)))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.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))) (neg.f64 (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 (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 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))) (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 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x x) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 x))
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) x)
(fma.f64 #s(literal 1 binary64) x (*.f64 x x))
(fma.f64 x #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x x (neg.f64 x))
(fma.f64 x x x)
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(-.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 x x) x)
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))

eval88.0ms (1.6%)

Memory
-23.9MiB live, 56.7MiB allocated
Compiler

Compiled 12 336 to 1 594 computations (87.1% saved)

prune13.0ms (0.2%)

Memory
22.8MiB live, 22.8MiB allocated
Pruning

14 alts after pruning (2 fresh and 12 done)

PrunedKeptTotal
New3402342
Fresh101
Picked145
Done088
Total34214356
Accuracy
100.0%
Counts
356 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.5%
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
✓75.3%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
✓50.9%
(-.f64 #s(approx (/ 1 (+ x 1)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
✓50.7%
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
✓50.6%
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓51.0%
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
✓50.9%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓51.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓2.4%
#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 (- 1 (+ (* x x) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))))
✓3.0%
#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))))
2.9%
#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)))))
✓3.0%
#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 710 to 269 computations (62.1% saved)

regimes40.0ms (0.7%)

Memory
-26.8MiB live, 12.1MiB allocated
Counts
21 → 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 x #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 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (- 1 (+ (* x x) x)) (*.f64 (-.f64 #s(literal -1 binary64) 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)) (-.f64 #s(literal 1 binary64) (fma.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 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 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 (/ (- (- x x) 1) (+ (* x 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 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- (- x x) 1) (+ (* x 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))))
#s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
Outputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
Calls

2 calls:

32.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
6.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%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)

regimes9.0ms (0.2%)

Memory
8.7MiB live, 8.7MiB allocated
Counts
13 → 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 x #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 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (- 1 (+ (* x x) x)) (*.f64 (-.f64 #s(literal -1 binary64) 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)) (-.f64 #s(literal 1 binary64) (fma.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 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 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 (/ (- (- x x) 1) (+ (* x 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)) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (- (- x x) 1) (+ (* x 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:

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
98.4%3x
98.4%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)

regimes9.0ms (0.2%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
12 → 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 x #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 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (- 1 (+ (* x x) x)) (*.f64 (-.f64 #s(literal -1 binary64) 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)) (-.f64 #s(literal 1 binary64) (fma.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 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 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 (/ (- (- x x) 1) (+ (* x 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 (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.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
98.2%3x
98.2%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)

regimes8.0ms (0.1%)

Memory
7.8MiB live, 7.8MiB allocated
Counts
11 → 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 x #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 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (- 1 (+ (* x x) x)) (*.f64 (-.f64 #s(literal -1 binary64) 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)) (-.f64 #s(literal 1 binary64) (fma.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 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
(-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #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
51.8%1x
51.8%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)

regimes41.0ms (0.7%)

Memory
-31.4MiB live, 7.6MiB allocated
Counts
9 → 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 x #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 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (- 1 (+ (* x x) x)) (*.f64 (-.f64 #s(literal -1 binary64) 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)) (-.f64 #s(literal 1 binary64) (fma.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 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) (*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) x)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (- 1 (+ (* x x) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))))
Calls

2 calls:

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

regimes5.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
4 → 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 x #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))))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (* (- (/ -1 x) x) (- 1 x)) #s(approx (* (- x 1) x) (neg.f64 x))))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
3.3%1x
3.3%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)

regimes3.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 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))))
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:

1.0ms
x
1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
3.0%1x
3.0%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)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
15410432.97500151
0.0ms
-8.39286498733535
-1.2497452913967817e-6
Compiler

Compiled 12 to 10 computations (16.7% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
2×left-value
Steps
TimeLeftRight
0.0ms
0.0
15410432.97500151
0.0ms
-8.39286498733535
-1.2497452913967817e-6
Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify23.0ms (0.4%)

Memory
26.9MiB live, 26.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057245
169245
281245
386245
491245
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.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 -5 binary64)) (-.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 0 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x 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 -5 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 (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #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 (- 1 (+ (* x x) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))))
#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) #s(literal 1 binary64))))
Outputs
(/.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 -5 binary64)) (-.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 0 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x 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 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -5 binary64)) (-.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 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x 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 -5 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 (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.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 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal -5 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 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) #s(approx (/ (- (- x x) 1) (+ (* x x) x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (-.f64 #s(approx (/ 1 (+ x 1)) #s(literal 1 binary64)) (/.f64 #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 (- 1 (+ (* x x) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x))))
#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) #s(literal 1 binary64))))

soundness1.8s (33.1%)

Memory
-4.9MiB live, 734.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
061205
1179195
2509183
31625181
45132167
08110162
0620
01020
15920
255120
3602220
0942818
070246
1203233
2588214
31919212
45506198
08118190
032166
041150
1199140
21423138
09913138
073313
1215292
2604266
31948262
45782244
08084236
053229
1150210
2351198
31021194
43180189
55278188
66658188
77477188
87979188
08014186
Stop Event
1×fuel
1×iter limit
1×node limit
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×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 354 to 135 computations (61.9% saved)

preprocess83.0ms (1.5%)

Memory
20.9MiB live, 138.4MiB allocated
Compiler

Compiled 522 to 142 computations (72.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...