2frac (problem 3.3.1)

Time bar (total: 4.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
1.5MiB live, 1.5MiB 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)

sample862.0ms (20.3%)

Memory
18.2MiB live, 1 089.5MiB allocated
Samples
425.0ms3 836×1valid
201.0ms4 420×0valid
Precisions
Click to see histograms. Total time spent on operations: 394.0ms
ival-div: 171.0ms (43.4% of total)
ival-add: 80.0ms (20.3% of total)
ival-sub: 69.0ms (17.5% of total)
adjust: 60.0ms (15.2% of total)
ival-true: 6.0ms (1.5% of total)
exact: 5.0ms (1.3% of total)
ival-assert: 4.0ms (1% of total)
Bogosity

explain88.0ms (2.1%)

Memory
4.8MiB live, 126.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
502(4.494148365799654e+161)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))cancellation520
Confusion
Predicted +Predicted -
+500
-2204
Precision
0.9615384615384616
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+5000
-20204
Precision?
0.9615384615384616
Recall?
1.0
Freqs
test
numberfreq
0204
152
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
30.0ms230×1valid
13.0ms282×0valid
Compiler

Compiled 79 to 28 computations (64.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 12.0ms (39.8% of total)
ival-add: 10.0ms (33.2% of total)
adjust: 4.0ms (13.3% of total)
ival-sub: 3.0ms (10% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess22.0ms (0.5%)

Memory
-8.5MiB live, 28.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0823
12019
25318
310818
417118
521818
623618
069
0109
1159
2239
3329
4449
5649
61059
71509
82289
92669
102759
02759
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
▶82.8%
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0.2%)

Memory
3.1MiB live, 3.1MiB 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
715022
822822
926622
1027522
027522
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)

localize36.0ms (0.9%)

Memory
-37.2MiB live, 18.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal 1 binary64) x)
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))
accuracy11.033603064770336
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Samples
11.0ms115×1valid
8.0ms141×0valid
Compiler

Compiled 46 to 14 computations (69.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-div: 5.0ms (45.5% of total)
adjust: 2.0ms (18.2% of total)
ival-add: 2.0ms (18.2% of total)
ival-sub: 2.0ms (18.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory
1.5MiB live, 1.5MiB 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))

simplify137.0ms (3.2%)

Memory
20.2MiB live, 91.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053229
1150210
2353198
31026194
43307189
55373188
66748188
77554188
08018186
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)

rewrite119.0ms (2.8%)

Memory
10.5MiB live, 93.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
01020
15920
255120
3603520
0944418
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 (neg.f64 (log.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 (neg.f64 (log.f64 x)))

eval38.0ms (0.9%)

Memory
-24.5MiB live, 50.5MiB allocated
Compiler

Compiled 7 043 to 949 computations (86.5% saved)

prune7.0ms (0.2%)

Memory
18.9MiB live, 18.9MiB allocated
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New3366342
Fresh000
Picked101
Done000
Total3376343
Accuracy
100.0%
Counts
343 → 6
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))
▶47.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
▶54.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
42.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64))))
▶55.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
▶54.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
Compiler

Compiled 174 to 116 computations (33.3% saved)

simplify33.0ms (0.8%)

Memory
-17.8MiB live, 20.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
020126
030116
153116
281116
3138116
4223116
5522116
6844116
71045116
81067116
91079116
101081116
01081116
Stop Event
1×iter limit
1×saturated
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
#s(approx (- (/ 1 (+ x 1)) (/ 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)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) 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)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
Outputs
(/.f64 (-.f64 (-.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
#s(approx (- (/ 1 (+ x 1)) (/ 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)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) 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)) (/.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

localize71.0ms (1.7%)

Memory
-3.8MiB live, 76.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy0.1171875
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
accuracy33.514694287500824
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.00390625
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy0.00390625
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
accuracy29.04456780726602
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.00390625
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
accuracy28.99086648602563
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
accuracy0.0
(/.f64 #s(literal -1 binary64) x)
accuracy28.324894187209683
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
accuracy0.0
(fma.f64 x x x)
accuracy0.0
(-.f64 (-.f64 x x) #s(literal 1 binary64))
accuracy0.0
(-.f64 x x)
accuracy0.3322858481215629
(/.f64 (-.f64 (-.f64 x x) #s(literal 1 binary64)) (fma.f64 x x x))
Samples
27.0ms115×1valid
20.0ms141×0valid
Compiler

Compiled 232 to 40 computations (82.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 12.0ms (40.5% of total)
ival-sub: 6.0ms (20.3% of total)
adjust: 5.0ms (16.9% of total)
ival-add: 3.0ms (10.1% of total)
ival-mult: 3.0ms (10.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
13 → 26
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)
#s(approx (- (/ 1 (+ x 1)) (/ 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)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) 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)
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))
(- x 1)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
1
(- 1 (/ 1 x))
(* x (- 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 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 (* x (- (/ 1 x) 1)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
Calls

3 calls:

TimeVariablePointExpression
1.0ms
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)) (/ (- x 1) x) (- x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (- (/ 1 (+ x 1)) (/ 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)) (/ (- x 1) x) (- x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (- (/ 1 (+ x 1)) (/ 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)) (/ (- x 1) x) (- x 1) (- (/ 1 (+ x 1)) (/ 1 x)) (- (/ (- x 1) x) x) (- (/ 1 (+ x 1)) (/ 1 x)) (/ (/ -1 x) x))

simplify142.0ms (3.3%)

Memory
38.9MiB live, 110.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056184
1159173
2430157
31279151
44125141
57839141
08005139
Stop Event
1×iter limit
1×node limit
Counts
26 → 25
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))
(- x 1)
(/ -1 (pow x 2))
(/ (- (/ 1 x) 1) (pow x 2))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 x)))
1
(- 1 (/ 1 x))
(* x (- 1 (/ 1 x)))
(* -1 x)
(* x (- (/ 1 x) 1))
(* x (- (/ 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 (* x (- (/ 1 x) 1)))
(* -1 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 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 #s(literal 1 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) x))
x
(* x (+ 1 x))
(fma.f64 x x x)
(- x 1)
(-.f64 x #s(literal 1 binary64))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (/ 1 x) 1) (pow x 2))
(/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 3 binary64)))
(/ (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x)) x) x)
(/ (- (+ (/ 1 x) (/ 1 (pow x 3))) (+ 1 (/ 1 (pow x 2)))) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) 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) #s(literal 1 binary64)) x)) x) x)
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 x) 1) x)) 1) x)) 1) (pow x 2))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)

rewrite71.0ms (1.7%)

Memory
-8.6MiB live, 38.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020105
03095
116381
0123381
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
13 → 182
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)
#s(approx (- (/ 1 (+ x 1)) (/ 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)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) 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)
Outputs
#s(literal -1 binary64)
#s(literal 0 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (fma.f64 x x (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (-.f64 x (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) 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))) (/.f64 #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)))))
(*.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 #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))
(pow.f64 (*.f64 (fma.f64 x x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64)))) (+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x x) #s(literal -1 binary64))))
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(fma.f64 (pow.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) x) (neg.f64 x))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)) (fma.f64 x (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)
(-.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -1 binary64)) x))
(-.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(+.f64 (neg.f64 x) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) (neg.f64 x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (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 #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 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(pow.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(/.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 #s(literal -1 binary64) (neg.f64 (*.f64 x (neg.f64 x))))
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (*.f64 x #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal 1 binary64) (*.f64 x (neg.f64 x)))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))

eval59.0ms (1.4%)

Memory
-29.2MiB live, 45.1MiB allocated
Compiler

Compiled 5 138 to 697 computations (86.4% saved)

prune9.0ms (0.2%)

Memory
21.2MiB live, 21.2MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New2587265
Fresh101
Picked145
Done000
Total26011271
Accuracy
100.0%
Counts
271 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
▶99.5%
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
✓47.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓54.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
▶47.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓55.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓54.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
▶2.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
47.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
▶2.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
▶3.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
Compiler

Compiled 300 to 184 computations (38.7% saved)

simplify50.0ms (1.2%)

Memory
-2.7MiB live, 33.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 14 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
025145
031137
154137
280137
3142137
4222137
5502137
6813137
71113137
81218137
91411137
101511137
111521137
01521137
Stop Event
1×iter limit
1×saturated
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 (/ (- x 1) x) #s(literal 1 binary64)))
#s(approx (/ (- x 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ (- x 1) x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)
#s(approx (/ (- x 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 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
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 (/ (- x 1) x) #s(literal 1 binary64)))
#s(approx (/ (- x 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ (- x 1) x) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)
#s(approx (/ (- x 1) x) #s(literal 1 binary64))
#s(literal 1 binary64)
x
#s(approx (- (/ 1 (+ x 1)) (/ 1 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

localize69.0ms (1.6%)

Memory
-14.1MiB live, 72.7MiB allocated
Localize:

Found 14 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.3869733481215629
(/.f64 #s(literal -1 binary64) (*.f64 x x))
accuracy33.514694287500824
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
accuracy0.00390625
(-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)
accuracy29.04456780726602
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
accuracy33.7495453446461
#s(approx (/ (- x 1) x) #s(literal 1 binary64))
accuracy0.0
(neg.f64 x)
accuracy29.04456780726602
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
accuracy33.55953263618084
#s(approx (- (/ (- x 1) x) x) (neg.f64 x))
accuracy28.99086648602563
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
accuracy33.7495453446461
#s(approx (/ (- x 1) x) #s(literal 1 binary64))
accuracy0.0
(fma.f64 x x x)
accuracy0.0
#s(approx (- (- x x) 1) #s(literal -1 binary64))
accuracy0.3322858481215629
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
Samples
34.0ms115×1valid
22.0ms141×0valid
Compiler

Compiled 246 to 45 computations (81.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-div: 16.0ms (45.5% of total)
ival-sub: 6.0ms (17.1% of total)
adjust: 5.0ms (14.2% of total)
ival-add: 3.0ms (8.5% of total)
ival-mult: 3.0ms (8.5% of total)
ival-neg: 1.0ms (2.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
13 → 22
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 (/ (- x 1) x) #s(literal 1 binary64)))
#s(approx (/ (- x 1) x) #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ (- x 1) x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 x 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)
(/ -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)))
1
(- 1 (/ 1 x))
(* x (- (/ 1 x) 1))
(* x (- (/ 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 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
Calls

3 calls:

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

simplify155.0ms (3.7%)

Memory
23.1MiB live, 170.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054174
1155163
2414147
31246141
44089131
57350131
08284129
Stop Event
1×iter limit
1×node limit
Counts
22 → 21
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)
(/ -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)))
1
(- 1 (/ 1 x))
(* x (- (/ 1 x) 1))
(* x (- (/ 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 (* x (- 1 (/ 1 x))))
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) 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 #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)
(/ -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)
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(/.f64 (-.f64 x #s(literal 1 binary64)) x)
(* x (- (/ 1 x) 1))
(-.f64 #s(literal 1 binary64) x)
(* x (- (/ 1 x) (+ 1 (/ 1 (pow x 2)))))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) 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)))
(* -1 (* x (- 1 (/ 1 x))))
(-.f64 #s(literal 1 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))))
(-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)

rewrite165.0ms (3.9%)

Memory
-7.3MiB live, 151.2MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
025130
031122
1169108
21300108
08320108
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 167
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 (/ (- x 1) x) #s(literal 1 binary64)))
#s(approx (/ (- x 1) x) #s(literal 1 binary64))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ (- x 1) x) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
(-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(*.f64 x 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)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x (neg.f64 x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))) (fma.f64 x x (neg.f64 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(approx (- (- x x) 1) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) x)) (/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (neg.f64 x)))
(*.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))) (/.f64 #s(literal -1 binary64) (fma.f64 x x 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(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))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (neg.f64 x)) (*.f64 (+.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (-.f64 (*.f64 x x) (*.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (neg.f64 x)))) (-.f64 (pow.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)))
(fma.f64 #s(literal -1 binary64) x #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
(fma.f64 x #s(literal -1 binary64) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (neg.f64 x))) (/.f64 (*.f64 x x) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (neg.f64 x))))
(-.f64 (+.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #s(literal 0 binary64)) x)
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)) (/.f64 (*.f64 x x) (+.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)))
(-.f64 (/.f64 (pow.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (*.f64 x (+.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)))))
(-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x)
(+.f64 (neg.f64 x) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
(+.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) (neg.f64 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 (pow.f64 x #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 x #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 (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 (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(/.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 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64))))
(/.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) (neg.f64 (neg.f64 (*.f64 (*.f64 x 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 (*.f64 x x) #s(literal -1 binary64)))
(/.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) x) (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (neg.f64 x) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval21.0ms (0.5%)

Memory
-3.3MiB live, 34.2MiB allocated
Compiler

Compiled 4 764 to 586 computations (87.7% saved)

prune6.0ms (0.1%)

Memory
13.4MiB live, 13.4MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New1830183
Fresh022
Picked055
Done044
Total18311194
Accuracy
100.0%
Counts
194 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶39.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓99.5%
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
✓47.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓54.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
✓47.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓55.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓54.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
✓2.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
▶47.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
✓2.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
✓3.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
Compiler

Compiled 180 to 112 computations (37.8% saved)

simplify144.0ms (3.4%)

Memory
9.1MiB live, 131.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
cost-diff1
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64)))
cost-diff2
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
cost-diff5
(*.f64 #s(literal 0 binary64) (fma.f64 x x x))
cost-diff9
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
cost-diff0
(pow.f64 x #s(literal -2 binary64))
cost-diff0
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
cost-diff0
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01787
02666
16764
217455
371955
4226655
5476955
0821655
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 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)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(*.f64 #s(literal 0 binary64) (fma.f64 x x x))
#s(literal 0 binary64)
(fma.f64 x x x)
x
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 x x x) (fma.f64 x x x))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 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)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(/.f64 #s(literal -1 binary64) (fma.f64 x x x))
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(*.f64 #s(literal 0 binary64) (fma.f64 x x x))
#s(literal 0 binary64)
#s(literal 0 binary64)
(fma.f64 x x x)
x
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(fma.f64 x x x)
#s(literal 1 binary64)
(*.f64 (fma.f64 x x x) (fma.f64 x x x))

localize72.0ms (1.7%)

Memory
-16.6MiB live, 59.0MiB allocated
Localize:

Found 7 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
accuracy0.05859375
(*.f64 (fma.f64 x x x) (fma.f64 x x x))
accuracy17.472558551927808
(*.f64 #s(literal 0 binary64) (fma.f64 x x x))
accuracy38.26548615072136
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
accuracy0.0
(pow.f64 x #s(literal -2 binary64))
accuracy0.0
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
accuracy33.514694287500824
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
Samples
35.0ms141×0valid
25.0ms115×1valid
Compiler

Compiled 182 to 37 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 50.0ms
ival-mult: 24.0ms (48.2% of total)
ival-div: 7.0ms (14% of total)
ival-add: 5.0ms (10% of total)
adjust: 4.0ms (8% of total)
ival-pow: 4.0ms (8% of total)
ival-sub: 3.0ms (6% of total)
ival-neg: 1.0ms (2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated
Counts
8 → 25
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 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))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(*.f64 #s(literal 0 binary64) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(*.f64 (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))
0
x
(* x (+ 1 x))
(* -1 x)
(* x (- (* -1 x) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 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) (+ 1 (/ 1 x)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 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))
Calls

3 calls:

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

simplify201.0ms (4.7%)

Memory
22.2MiB live, 143.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064198
1185193
2465183
31257175
43426167
56838167
08086161
Stop Event
1×iter limit
1×node limit
Counts
25 → 24
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))
0
x
(* x (+ 1 x))
(* -1 x)
(* x (- (* -1 x) 1))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 x)))
(* (pow x 2) (+ 1 (* x (+ 2 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) (+ 1 (/ 1 x)))
(* -1 (pow x 2))
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(pow x 4)
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 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))
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 #s(literal -1 binary64) x) x) #s(literal -1 binary64))
(/ (- (* x (+ 1 (* x (- x 1)))) 1) x)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(/ 1 (pow x 2))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
0
#s(literal 0 binary64)
x
(* x (+ 1 x))
(fma.f64 x x x)
(* -1 x)
(neg.f64 x)
(* x (- (* -1 x) 1))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 x)))
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 1 binary64)) x) x)
(* (pow x 2) (+ 1 (* x (+ 2 x))))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #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 4 binary64))) (-.f64 x (/.f64 #s(literal -1 binary64) x)))
(* (pow x 2) (+ 1 (/ 1 x)))
(fma.f64 x x x)
(* -1 (pow x 2))
(*.f64 (neg.f64 x) x)
(* -1 (* (pow x 2) (+ 1 (/ 1 x))))
(*.f64 (-.f64 #s(literal -1 binary64) x) x)
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
(* (pow x 4) (+ 1 (* 2 (/ 1 x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 2 binary64) x))
(* (pow x 4) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (+.f64 #s(literal 2 binary64) x) x #s(literal 1 binary64)) 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)))

rewrite165.0ms (3.9%)

Memory
-15.0MiB live, 178.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01778
02651
115343
2121343
0892242
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
8 → 892
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 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))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(*.f64 #s(literal 0 binary64) (fma.f64 x x x))
(*.f64 (fma.f64 x x x) #s(literal 1 binary64))
(-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64)))
(*.f64 (fma.f64 x x x) (fma.f64 x x x))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))
(*.f64 (neg.f64 (pow.f64 x #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
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(fma.f64 (*.f64 x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x)))
(fma.f64 (*.f64 x x) (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 (*.f64 x x) (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x x) x)))
(fma.f64 (*.f64 x x) (fma.f64 x x x) (-.f64 (*.f64 (fma.f64 x x x) x) #s(literal 0 binary64)))
(fma.f64 (*.f64 x x) (fma.f64 x x x) (*.f64 (fma.f64 x x x) x))
(fma.f64 (*.f64 x x) x (fma.f64 x x (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (*.f64 x x) x (*.f64 (*.f64 x x) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 0 binary64)))
(fma.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x x) (*.f64 x x) (-.f64 (*.f64 (fma.f64 x x x) x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x x x) (*.f64 x x) (*.f64 (fma.f64 x x x) x))
(fma.f64 (fma.f64 x x x) (fma.f64 x x x) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x x x) (fma.f64 x x x) #s(literal 0 binary64))
(fma.f64 (fma.f64 x x x) x (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 (fma.f64 x x x) x (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x)))
(fma.f64 (fma.f64 x x x) x (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x x)) (pow.f64 x #s(literal 3 binary64)))
(fma.f64 x (*.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 0 binary64)))
(fma.f64 x (*.f64 (fma.f64 x x x) (+.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 x (*.f64 (fma.f64 x x x) x) (-.f64 (*.f64 (fma.f64 x x x) x) #s(literal 0 binary64)))
(fma.f64 x (*.f64 (fma.f64 x x x) x) (*.f64 (fma.f64 x x x) x))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x x) x)))
(fma.f64 x (*.f64 x x) (fma.f64 x x (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 x (*.f64 x x) (*.f64 (*.f64 x x) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(fma.f64 x (fma.f64 x x x) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 x (fma.f64 x x x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x)))
(fma.f64 x (fma.f64 x x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 x x (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) x) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (fma.f64 x x x) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x x x) x))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x x) x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) (/.f64 (pow.f64 (*.f64 (fma.f64 x x x) x) #s(literal 2 binary64)) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))))
(-.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))))
(+.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (fma.f64 (fma.f64 x x x) x (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (fma.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(+.f64 (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) (*.f64 (fma.f64 x x x) x))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (neg.f64 x)))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 0 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (neg.f64 x)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 (*.f64 x x) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))) (pow.f64 x #s(literal 3 binary64)))
(+.f64 (*.f64 (fma.f64 x x x) x) (-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64)))
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (*.f64 (neg.f64 x) x) (*.f64 (-.f64 #s(literal -1 binary64) x) x)))
(+.f64 (*.f64 (fma.f64 x x x) x) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (*.f64 (fma.f64 x x x) x) #s(literal 0 binary64)))
(+.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 x x x) x))
(+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x x) x)))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (*.f64 x x) (fma.f64 (+.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(+.f64 (*.f64 x x) (+.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (*.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) #s(literal 0 binary64)))
(+.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))

eval112.0ms (2.6%)

Memory
10.7MiB live, 213.1MiB allocated
Compiler

Compiled 25 596 to 2 326 computations (90.9% saved)

prune20.0ms (0.5%)

Memory
6.1MiB live, 42.8MiB allocated
Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New9092911
Fresh000
Picked112
Done099
Total91012922
Accuracy
100.0%
Counts
922 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
39.8%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x x) x)))
✓99.5%
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
12.1%
(/.f64 #s(approx (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
✓47.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (/.f64 #s(literal -1 binary64) x) x))
✓54.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
✓47.1%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
✓55.7%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
✓54.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
✓2.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
✓47.6%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (neg.f64 (pow.f64 x #s(literal -2 binary64))))
✓2.8%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
✓3.0%
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
Compiler

Compiled 481 to 197 computations (59% saved)

regimes29.0ms (0.7%)

Memory
-29.1MiB live, 10.0MiB allocated
Counts
16 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) 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 #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))
(/.f64 #s(approx (- (* 0 (+ (* x x) x)) (* (+ (* x x) x) 1)) (*.f64 (neg.f64 x) x)) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (fma.f64 x x x)) (*.f64 (fma.f64 x x x) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (fma.f64 x x x) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 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))))
Outputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
Calls

2 calls:

23.0ms
x
5.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
Results
AccuracySegmentsBranch
99.5%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)

regimes6.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
7 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 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
98.7%3x
98.7%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)

regimes5.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
6 → 3
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x 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
98.6%3(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
98.6%3x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes5.0ms (0.1%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) 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
55.7%1x
55.7%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)

regimes4.0ms (0.1%)

Memory
6.8MiB live, 6.8MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 #s(approx (/ (- x 1) x) #s(literal 1 binary64)) x))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) 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
3.0%1(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
3.0%1x
Compiler

Compiled 10 to 7 computations (30% saved)

regimes2.0ms (0.1%)

Memory
5.3MiB live, 5.3MiB 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 (/ (- x 1) x) #s(literal 1 binary64)))
Outputs
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
Calls

2 calls:

1.0ms
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) x))
1.0ms
x
Results
AccuracySegmentsBranch
2.8%1x
2.8%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)

bsearch31.0ms (0.7%)

Memory
0.2MiB live, 38.0MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
12.0ms
2.0887181532895584e-7
28086.917873572314
16.0ms
-809532.589061215
-2.609646212762295e-33
Samples
14.0ms336×0valid
Compiler

Compiled 684 to 493 computations (27.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 5.0ms (59.7% of total)
ival-add: 2.0ms (23.9% of total)
ival-sub: 1.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch26.0ms (0.6%)

Memory
-45.1MiB live, 9.1MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
7.0ms
2.0887181532895584e-7
28086.917873572314
1.0ms
-809532.589061215
-2.609646212762295e-33
Samples
3.0ms80×0valid
Compiler

Compiled 642 to 472 computations (26.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0ms
ival-div: 1.0ms (52.4% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify41.0ms (1%)

Memory
37.7MiB live, 37.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038140
165139
2100138
3227138
4643138
53382138
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))
Outputs
(/.f64 #s(approx (- (- x x) 1) #s(literal -1 binary64)) (fma.f64 x x x))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 1 binary64)))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (-.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) x) x)))
(if (<=.f64 x #s(literal -1 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) (if (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x)))))
(if (or (<=.f64 x #s(literal -1 binary64)) (not (<=.f64 x #s(literal 3422735716801577/4503599627370496 binary64)))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) (*.f64 x x))) #s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 (-.f64 x #s(literal 1 binary64)) x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) (/.f64 #s(literal -1 binary64) x))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (- (/ (- x 1) x) x) (neg.f64 x)))
#s(approx (- (/ 1 (+ x 1)) (/ 1 x)) #s(approx (/ (- x 1) x) #s(literal 1 binary64)))

soundness1.1s (26.9%)

Memory
-4.4MiB live, 419.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
01020
15920
255120
3603520
0944418
020105
03095
116381
0123381
053229
1150210
2353198
31026194
43307189
55373188
66748188
77554188
08018186
056184
1159173
2430157
31279151
44125141
57839141
08005139
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 245 to 113 computations (53.9% saved)

preprocess59.0ms (1.4%)

Memory
-1.1MiB live, 81.1MiB allocated
Compiler

Compiled 316 to 106 computations (66.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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