Asymptote C

Time bar (total: 6.3s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
50%50%50%0%0%0%0%3
75%75%25%0%0%0%0%4
87.5%87.5%12.5%0%0%0%0%5
93.8%93.7%6.2%0%0%0%0%6
96.9%96.8%3.1%0%0%0%0%7
98.4%98.4%1.6%0%0%0%0%8
99.2%99.2%0.8%0%0%0%0%9
99.6%99.6%0.4%0%0%0%0%10
99.8%99.8%0.2%0%0%0%0%11
99.9%99.9%0.1%0%0%0%0%12
Compiler

Compiled 15 to 9 computations (40% saved)

sample1.1s (17.5%)

Memory
23.7MiB live, 1 167.0MiB allocated
Samples
327.0ms2 522×1valid
273.0ms1 521×2valid
251.0ms4 213×0valid
Precisions
Click to see histograms. Total time spent on operations: 627.0ms
ival-div: 212.0ms (33.8% of total)
ival-sub: 186.0ms (29.7% of total)
adjust: 121.0ms (19.3% of total)
ival-add: 95.0ms (15.1% of total)
ival-true: 6.0ms (1% of total)
exact: 5.0ms (0.8% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain118.0ms (1.9%)

Memory
9.1MiB live, 215.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1380-0-(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(/.f64 x (+.f64 x #s(literal 1 binary64)))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))cancellation1380
Confusion
Predicted +Predicted -
+1380
-0118
Precision
1.0
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+13800
-00118
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0118
1138
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
19.0ms242×0valid
19.0ms102×2valid
19.0ms168×1valid
Compiler

Compiled 84 to 25 computations (70.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-div: 14.0ms (39.1% of total)
ival-sub: 9.0ms (25.2% of total)
adjust: 7.0ms (19.6% of total)
ival-add: 5.0ms (14% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess69.0ms (1.1%)

Memory
-12.2MiB live, 109.3MiB allocated
Algorithm
1×egg-herbie
Rules
640×lower-fma.f64
640×lower-fma.f32
256×lower-*.f64
256×lower-*.f32
194×distribute-rgt-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
12331
26227
317826
441426
585326
6118126
7134026
8141826
9142826
0713
01213
12013
22813
34413
47713
511513
620313
737113
887613
9113713
10122113
11123113
0123113
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Outputs
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
Compiler

Compiled 14 to 7 computations (50% saved)

eval0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Compiler

Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶50.2%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 7 computations (50% saved)

simplify34.0ms (0.5%)

Memory
-5.4MiB live, 30.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
cost-diff0
(+.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Rules
640×lower-fma.f64
640×lower-fma.f32
256×lower-*.f64
256×lower-*.f32
168×lower-+.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01233
12033
22833
34433
47733
511533
620333
737133
887633
9113733
10122133
11123133
0123133
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
Outputs
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
x
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(+.f64 x #s(literal -1 binary64))

localize41.0ms (0.7%)

Memory
-21.2MiB live, 61.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 x #s(literal 1 binary64))
accuracy0.00390625
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
accuracy0.015625
(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy31.889117256255354
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Samples
13.0ms51×2valid
11.0ms84×1valid
6.0ms121×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 10.0ms (48.9% of total)
ival-sub: 4.0ms (19.6% of total)
adjust: 3.0ms (14.7% of total)
ival-add: 3.0ms (14.7% 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
3.0MiB live, 3.0MiB allocated
Counts
4 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))>
#<alt (/.f64 x (+.f64 x #s(literal 1 binary64)))>
#<alt (+.f64 x #s(literal 1 binary64))>
#<alt (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt x>
#<alt (* x (+ 1 (* -1 x)))>
#<alt (* x (+ 1 (* x (- x 1))))>
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))>
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))>
#<alt 1>
#<alt (- 1 (/ 1 x))>
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))>
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))>
#<alt 1>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt (+ 1 x)>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt x>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt (* x (+ 1 (/ 1 x)))>
#<alt -1>
#<alt (- (* -2 x) 1)>
#<alt (- (* x (- (* -2 x) 2)) 1)>
#<alt (- (* x (- (* x (- (* -2 x) 2)) 2)) 1)>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ 1 x)))>
#<alt (+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))>
Calls

12 calls:

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

simplify442.0ms (7%)

Memory
-173.7MiB live, 299.4MiB allocated
Algorithm
1×egg-herbie
Rules
9 608×lower-fma.f64
9 608×lower-fma.f32
2 654×lower-*.f64
2 654×lower-*.f32
1 928×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
095332
1262322
2585310
31504292
43719290
56658290
08041279
Stop Event
1×iter limit
1×node limit
Counts
48 → 45
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
1
(- 1 (/ 1 x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
1
(+ 1 x)
(+ 1 x)
(+ 1 x)
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
x
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
-1
(- (* -2 x) 1)
(- (* x (- (* -2 x) 2)) 1)
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
1
(+ 1 (* 2 (/ 1 x)))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) x)) x) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
x
(* x (+ 1 (* -1 x)))
(-.f64 x (*.f64 x x))
(* x (+ 1 (* x (- x 1))))
(fma.f64 x (-.f64 (*.f64 x x) x) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 x x #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(- 1 (/ 1 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
x
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
-1
#s(literal -1 binary64)
(- (* -2 x) 1)
(fma.f64 x #s(literal -2 binary64) #s(literal -1 binary64))
(- (* x (- (* -2 x) 2)) 1)
(fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* x (- (* x (- (* -2 x) 2)) 2)) 1)
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (+ (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 3))) (/ 2 (pow x 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 x)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(+ 1 (+ (* 2 (/ 1 x)) (/ 2 (pow x 2))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 2 (/ 1 x))) x)) 2) x)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) x)) x))

rewrite249.0ms (3.9%)

Memory
-0.4MiB live, 420.7MiB allocated
Rules
5 084×lower-*.f64
5 084×lower-*.f32
4 902×lower-fma.f64
4 902×lower-fma.f32
4 894×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
01228
16728
270428
0808528
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 350
Calls
Call 1
Inputs
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
(/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
Outputs
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(+.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 (fma.f64 x x (neg.f64 x)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))) (fma.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))))))
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(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))))))
(/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #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)) #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64))) (neg.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))))
(/.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (+.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (fma.f64 x (*.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 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (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 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (+.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(*.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.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 (fma.f64 x x (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64))))

eval53.0ms (0.8%)

Memory
19.6MiB live, 106.5MiB allocated
Compiler

Compiled 12 861 to 1 293 computations (89.9% saved)

prune72.0ms (1.1%)

Memory
-1.7MiB live, 164.5MiB allocated
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New43212444
Fresh000
Picked011
Done000
Total43213445
Accuracy
100.0%
Counts
445 → 13
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.7%
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
49.7%
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
48.8%
(/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
48.4%
(/.f64 (/.f64 (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
▶48.4%
(/.f64 (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
✓50.2%
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
▶46.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
45.4%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
▶55.2%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
54.3%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))
54.9%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
▶45.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
▶46.1%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 326 to 183 computations (43.9% saved)

simplify170.0ms (2.7%)

Memory
-8.2MiB live, 267.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(fma.f64 x x (neg.f64 x))
cost-diff0
(/.f64 (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff128
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
cost-diff896
(-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
cost-diff0
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
cost-diff0
(+.f64 #s(literal 3 binary64) x)
cost-diff0
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
cost-diff0
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
cost-diff0
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
cost-diff0
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
Rules
9 366×lower-fma.f32
9 356×lower-fma.f64
2 446×lower-/.f32
2 438×lower-/.f64
2 372×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031209
052204
198204
2227204
3652202
42512181
08404174
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
#s(literal -3 binary64)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal -3 binary64) x)
x
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
x
(+.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
#s(literal 3 binary64)
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
(/.f64 (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 x x (neg.f64 x))
x
(neg.f64 x)
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) x)
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
(+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64))
#s(literal -3 binary64)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal -3 binary64) x)
x
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
x
(+.f64 #s(literal 3 binary64) x)
(+.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
#s(literal 3 binary64)
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal 1 binary64))
(/.f64 (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(fma.f64 x x (neg.f64 x))
(-.f64 (*.f64 x x) x)
x
(neg.f64 x)
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)

localize125.0ms (2%)

Memory
6.6MiB live, 198.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 x)
accuracy0.0078125
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
accuracy15.485592272107757
(/.f64 (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
accuracy32.65420580101496
(-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
accuracy0
(fma.f64 x x #s(literal 1 binary64))
accuracy0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy0.06640625
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
accuracy34.8905157047947
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
accuracy0
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
accuracy0
(+.f64 #s(literal 3 binary64) x)
accuracy34.56263618756421
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
accuracy34.473375296522036
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
accuracy0.00390625
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
accuracy0.04296875
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
accuracy0.046875
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
accuracy28.636670130238173
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
Samples
32.0ms61×2valid
27.0ms74×1valid
26.0ms121×0valid
Compiler

Compiled 190 to 31 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-add: 17.0ms (27.4% of total)
ival-div: 14.0ms (22.5% of total)
adjust: 13.0ms (20.9% of total)
ival-mult: 10.0ms (16.1% of total)
ival-sub: 6.0ms (9.7% of total)
ival-neg: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series9.0ms (0.1%)

Memory
-16.2MiB live, 22.1MiB allocated
Counts
18 → 216
Calls
Call 1
Inputs
#<alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))>
#<alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)>
#<alt (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))>
#<alt (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)>
#<alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))>
#<alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))>
#<alt (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 3 binary64) x)>
#<alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))>
#<alt (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))>
#<alt (fma.f64 x x #s(literal 1 binary64))>
#<alt (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))>
#<alt (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))>
#<alt (/.f64 (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))>
#<alt (fma.f64 x x (neg.f64 x))>
#<alt (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))>
#<alt (neg.f64 x)>
Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt (/ -3 (pow x 3))>
#<alt (/ (- (* -1 x) 3) (pow x 3))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (/ -3 (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (/ -3 (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 3>
#<alt (+ 3 x)>
#<alt (+ 3 x)>
#<alt (+ 3 x)>
#<alt x>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (* 3 (pow x 3))>
#<alt (* (pow x 3) (+ 3 (/ 1 x)))>
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))>
#<alt (* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))>
#<alt (* 3 (pow x 3))>
#<alt (* (pow x 3) (+ 3 (/ 1 x)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))>
#<alt (* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (+ 1 (pow x 2))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ 1 (/ 1 (pow x 2))))>
#<alt -1>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 2 x))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (+ 1 (* x (+ 2 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 2 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt (* -1 x)>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (* x (- x 1))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (* (pow x 2) (- 1 (/ 1 x)))>
#<alt (/ -3 x)>
#<alt (/ (- (* -1 x) 3) x)>
#<alt (/ (- (* -1 x) 3) x)>
#<alt (/ (- (* -1 x) 3) x)>
#<alt -1>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
#<alt (* -1 x)>
Calls

54 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1)))
1.0ms
x
@-inf
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)
0.0ms
x
@0
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)
0.0ms
x
@-inf
(- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1)))
0.0ms
x
@inf
(/ (+ -3 (/ (+ -1 (/ -3 x)) x)) x)

simplify229.0ms (3.6%)

Memory
19.0MiB live, 215.9MiB allocated
Algorithm
1×egg-herbie
Rules
14 384×lower-fma.f64
14 384×lower-fma.f32
3 320×lower-*.f64
3 320×lower-*.f32
1 930×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01001411
13101324
28541279
333701267
473411267
080491182
Stop Event
1×iter limit
1×node limit
Counts
216 → 214
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/ -3 (pow x 3))
(/ (- (* -1 x) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/ -3 (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(/ -3 (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ -1 x)
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/ -1 x)
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
3
(+ 3 x)
(+ 3 x)
(+ 3 x)
x
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
x
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(* 3 (pow x 3))
(* (pow x 3) (+ 3 (/ 1 x)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
1
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
1
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
-1
(- (* -3 x) 1)
(- (* -3 x) 1)
(- (* -3 x) 1)
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
1
(+ 1 (* 2 x))
(+ 1 (* x (+ 2 x)))
(+ 1 (* x (+ 2 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* -1 x)
(* x (- x 1))
(* x (- x 1))
(* x (- x 1))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 x)))
(/ -3 x)
(/ (- (* -1 x) 3) x)
(/ (- (* -1 x) 3) x)
(/ (- (* -1 x) 3) x)
-1
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 (+ 1 (* 3 (/ 1 x))))
-1
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -3 (pow x 3))
(/.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x)))
(/ (- (* -1 x) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(/ -3 (pow x 2))
(/.f64 #s(literal -3 binary64) (*.f64 x x))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
(/ -3 (pow x 2))
(/.f64 #s(literal -3 binary64) (*.f64 x x))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(* 3 (pow x 3))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 3 (/ 1 x)))
(*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))
(* (pow x 3) (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))
(* (pow x 3) (+ 3 (+ (/ 1 x) (+ (/ 1 (pow x 3)) (/ 3 (pow x 2))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(* 3 (pow x 3))
(*.f64 x (*.f64 #s(literal 3 binary64) (*.f64 x x)))
(* (pow x 3) (+ 3 (/ 1 x)))
(*.f64 x (fma.f64 #s(literal 3 binary64) (*.f64 x x) x))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)))
(*.f64 x (fma.f64 x (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- (* -1 (/ (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))) x)) 3)))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 x))
(fma.f64 x #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* x (+ 2 x)))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 2 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 2 binary64)))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 2 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x)))
(* -1 x)
(neg.f64 x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(* x (- x 1))
(-.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(* (pow x 2) (- 1 (/ 1 x)))
(-.f64 (*.f64 x x) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ (- (* -1 x) 3) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(/ (- (* -1 x) 3) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(/ (- (* -1 x) 3) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)

rewrite280.0ms (4.4%)

Memory
-15.6MiB live, 388.5MiB allocated
Rules
5 466×lower-fma.f32
5 456×lower-fma.f64
4 588×lower-/.f32
4 580×lower-/.f64
3 046×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031186
052177
1260177
22523177
08723175
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 665
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 3 binary64) x)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x (neg.f64 x))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(neg.f64 x)
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (neg.f64 x)))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x) (/.f64 (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x)) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x))
(-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (/.f64 (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x)) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))))
(neg.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)
(/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) (neg.f64 x))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 x (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x)))) (neg.f64 (*.f64 x (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)))
(/.f64 (/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal -1 binary64)) x)
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))) (neg.f64 (neg.f64 (neg.f64 x))))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (neg.f64 (-.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))))
(/.f64 (neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal -1 binary64))) (neg.f64 x))
(pow.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x))) #s(literal 1 binary64)) #s(literal -1 binary64))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))))
(/.f64 (-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)))))
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(literal -3 binary64) x) (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 27 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -3 binary64) x) (-.f64 (/.f64 #s(literal -3 binary64) x) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) x))))
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x)))
(neg.f64 x)
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x)) (+.f64 #s(literal 0 binary64) x))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 x x))) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(*.f64 x #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) x)

eval124.0ms (2%)

Memory
20.7MiB live, 177.6MiB allocated
Compiler

Compiled 21 668 to 2 174 computations (90% saved)

prune88.0ms (1.4%)

Memory
-12.9MiB live, 148.8MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New8727879
Fresh707
Picked235
Done101
Total88210892
Accuracy
100.0%
Counts
892 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶75.8%
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶45.4%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
▶30.1%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
▶54.9%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
23.3%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
✓46.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
54.3%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x))
▶46.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
✓45.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
✓46.1%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 160 to 97 computations (39.4% saved)

simplify158.0ms (2.5%)

Memory
29.0MiB live, 214.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
cost-diff0
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
cost-diff0
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
cost-diff0
(/.f64 #s(literal -3 binary64) x)
cost-diff0
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
cost-diff0
(+.f64 x #s(literal 3 binary64))
cost-diff0
(*.f64 x (+.f64 x #s(literal 3 binary64)))
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
cost-diff128
(+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
cost-diff0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
cost-diff0
(fma.f64 x x #s(literal -1 binary64))
cost-diff0
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
cost-diff0
#s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
cost-diff0
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Rules
8 394×lower-fma.f32
8 388×lower-fma.f64
2 256×lower-/.f32
2 250×lower-/.f64
2 196×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032198
044211
184211
2186208
3551188
42230144
08040142
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
x
#s(literal -3 binary64)
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
#s(literal 3 binary64)
x
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
x
(+.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
x
#s(literal -3 binary64)
#s(literal -1 binary64)
(*.f64 x x)
Outputs
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
x
#s(literal -3 binary64)
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 3 binary64) #s(literal 1 binary64))
#s(literal 3 binary64)
x
#s(literal 1 binary64)
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
x
(+.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1 binary64)
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
x
#s(literal -3 binary64)
#s(literal -1 binary64)
(*.f64 x x)

localize114.0ms (1.8%)

Memory
-20.2MiB live, 136.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
accuracy0
(*.f64 x x)
accuracy15.540279772107757
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
accuracy29.24163925269308
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
accuracy0
(/.f64 #s(literal -3 binary64) x)
accuracy28.84405595372401
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
accuracy0
(+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
accuracy0
(+.f64 x #s(literal 3 binary64))
accuracy0.08203125
(*.f64 x (+.f64 x #s(literal 3 binary64)))
accuracy34.56263618756421
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
accuracy0
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
accuracy34.953601188507726
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
accuracy0
(fma.f64 x x #s(literal -1 binary64))
accuracy0
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
accuracy0
#s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
accuracy15.485592272107757
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Samples
36.0ms73×2valid
27.0ms81×1valid
20.0ms102×0valid
Compiler

Compiled 173 to 28 computations (83.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-add: 14.0ms (22.6% of total)
ival-div: 13.0ms (21% of total)
adjust: 13.0ms (21% of total)
ival-mult: 11.0ms (17.8% of total)
ival-sub: 9.0ms (14.5% of total)
ival-neg: 1.0ms (1.6% 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
8.7MiB live, 8.7MiB allocated
Counts
15 → 180
Calls
Call 1
Inputs
#<alt (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))>
#<alt #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))>
#<alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))>
#<alt (fma.f64 x x #s(literal -1 binary64))>
#<alt #s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))>
#<alt (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))>
#<alt (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))>
#<alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))>
#<alt (*.f64 x (+.f64 x #s(literal 3 binary64)))>
#<alt (+.f64 x #s(literal 3 binary64))>
#<alt #s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))>
#<alt (/.f64 #s(literal -3 binary64) x)>
#<alt #s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))>
#<alt (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))>
#<alt (*.f64 x x)>
Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt -1>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt -1>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt -1>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (- (pow x 2) 1)>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (- 1 (/ 1 (pow x 2))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* 3 x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* 3 x)>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt (* x (+ 3 (/ 1 x)))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt (* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt (* 3 x)>
#<alt (* x (+ 3 x))>
#<alt (* x (+ 3 x))>
#<alt (* x (+ 3 x))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt (* (pow x 2) (+ 1 (* 3 (/ 1 x))))>
#<alt 3>
#<alt (+ 3 x)>
#<alt (+ 3 x)>
#<alt (+ 3 x)>
#<alt x>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt x>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt (* x (+ 1 (* 3 (/ 1 x))))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt (/ -3 x)>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

45 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(* x (+ x 3))
0.0ms
x
@0
(/ -3 x)
0.0ms
x
@inf
(* x (+ x 3))
0.0ms
x
@0
(/ (+ (* x -3) -1) (* x x))
0.0ms
x
@inf
(/ (+ (* x -3) -1) (* x x))

simplify312.0ms (4.9%)

Memory
-18.7MiB live, 307.6MiB allocated
Algorithm
1×egg-herbie
Rules
19 556×lower-fma.f64
19 556×lower-fma.f32
3 432×lower-*.f64
3 432×lower-*.f32
2 100×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0571095
11671031
2442982
31161982
43367982
57386982
08563909
Stop Event
1×iter limit
1×node limit
Counts
180 → 178
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
-1
(- (* -3 x) 1)
(- (* -3 x) 1)
(- (* -3 x) 1)
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
-1
(- (* -3 x) 1)
(- (* -3 x) 1)
(- (* -3 x) 1)
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
-1
(- (pow x 2) 1)
(- (pow x 2) 1)
(- (pow x 2) 1)
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
1
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(+ 1 (* 3 x))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* 3 x)
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
(* x (+ 3 (/ 1 x)))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(* 3 x)
(* x (+ 3 x))
(* x (+ 3 x))
(* x (+ 3 x))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(pow x 2)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
3
(+ 3 x)
(+ 3 x)
(+ 3 x)
x
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
x
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
(* x (+ 1 (* 3 (/ 1 x))))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
(/ -3 x)
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(* x (+ 3 (/ 1 x)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (+ (* 3 (/ 1 x)) (/ 1 (pow x 2)))))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 x))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* x (+ 3 x))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* x (+ 3 x))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
(* (pow x 2) (+ 1 (* 3 (/ 1 x))))
(*.f64 x (+.f64 #s(literal 3 binary64) x))
3
#s(literal 3 binary64)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
(+ 3 x)
(+.f64 #s(literal 3 binary64) x)
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
x
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
(* x (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal 3 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x) #s(literal -3 binary64)) x)
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x))))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite281.0ms (4.4%)

Memory
12.6MiB live, 321.5MiB allocated
Rules
6 690×lower-fma.f32
6 684×lower-fma.f64
5 446×lower-/.f32
5 440×lower-/.f64
2 764×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032180
044165
1230156
22163156
08917152
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 349
Calls
Call 1
Inputs
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(*.f64 x (+.f64 x #s(literal 3 binary64)))
(+.f64 x #s(literal 3 binary64))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(literal -3 binary64) x)
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(*.f64 x x)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))) (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))))
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64))) (fma.f64 x (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (neg.f64 (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (+.f64 x #s(literal 1 binary64)))) (+.f64 (neg.f64 x) #s(literal 1 binary64)))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (neg.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (pow.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64))) (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (*.f64 x x) #s(literal -1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
#s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))
(+.f64 (*.f64 x #s(literal -3 binary64)) #s(literal -1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -3 binary64) x #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64))))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 (fma.f64 x x x) (+.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 (fma.f64 x x x) (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 x x) (*.f64 x x))) (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
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#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 x x)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 x x))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (neg.f64 (*.f64 x x))))
(-.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
(neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (neg.f64 (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 x x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(/.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x) x)
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 x x)))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x x) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) (neg.f64 (*.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x)) (neg.f64 x))
(/.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64))) (*.f64 x x))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (*.f64 x x))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 x x)))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))) (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(pow.f64 (/.f64 (*.f64 x x) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x (*.f64 x x)) #s(literal 27 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal 1 binary64)) (*.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 (/.f64 (*.f64 x x) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(exp.f64 (log.f64 (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(neg.f64 (neg.f64 (*.f64 x x)))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x x)))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

eval110.0ms (1.7%)

Memory
12.5MiB live, 138.3MiB allocated
Compiler

Compiled 8 701 to 973 computations (88.8% saved)

prune53.0ms (0.8%)

Memory
22.3MiB live, 94.5MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New5622564
Fresh112
Picked055
Done033
Total56311574
Accuracy
100.0%
Counts
574 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓75.8%
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓45.4%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
✓30.1%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
▶30.7%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
✓54.9%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
▶30.1%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓46.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
▶54.3%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x))
✓46.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
✓45.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
✓46.1%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 95 to 57 computations (40% saved)

simplify174.0ms (2.7%)

Memory
13.1MiB live, 284.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 x #s(literal -3 binary64))
cost-diff0
#s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))
cost-diff0
(/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x))
cost-diff0
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 x x))
cost-diff0
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
cost-diff0
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff320
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff0
(/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)
cost-diff0
(+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))
cost-diff0
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x)
cost-diff0
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x))
Rules
8 368×lower-fma.f32
8 366×lower-fma.f64
2 302×lower-/.f32
2 294×lower-/.f64
2 212×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034188
044186
184182
2198178
3602170
42362159
08222156
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))
#s(literal -3 binary64)
(/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)
#s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64))
#s(literal -1 binary64)
x
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
x
#s(literal -3 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
(/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x))
#s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(*.f64 x x)
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x) #s(literal -3 binary64)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x)
(/.f64 (+.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x) #s(literal -3 binary64)) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))
(+.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x) #s(literal -3 binary64))
#s(literal -3 binary64)
(/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)
#s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64))
#s(literal -1 binary64)
x
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
x
#s(literal -3 binary64)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
(/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x))
#s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(*.f64 x x)

localize153.0ms (2.4%)

Memory
-12.0MiB live, 154.8MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(*.f64 x #s(literal -3 binary64))
accuracy15.540279772107757
(/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x))
accuracy28.818806873265277
#s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))
accuracy29.24163925269308
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
accuracy0
(*.f64 x x)
accuracy0.27865871412106263
(/.f64 #s(literal 1 binary64) (*.f64 x x))
accuracy15.248363587030115
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy29.24163925269308
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy0.04296875
(/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)
accuracy0.046875
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x)
accuracy28.636670130238173
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x))
accuracy29.050587085399663
#s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64))
Samples
78.0ms84×1valid
26.0ms51×2valid
20.0ms121×0valid
Compiler

Compiled 140 to 28 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 107.0ms
ival-div: 69.0ms (64.2% of total)
ival-add: 13.0ms (12.1% of total)
adjust: 10.0ms (9.3% of total)
ival-mult: 8.0ms (7.4% of total)
ival-sub: 6.0ms (5.6% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
14 → 168
Calls
Call 1
Inputs
#<alt #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x))>
#<alt (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x)>
#<alt (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))>
#<alt (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)>
#<alt (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))>
#<alt #s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))>
#<alt (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 x x))>
#<alt #s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))>
#<alt (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x))>
#<alt #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))>
#<alt (*.f64 x #s(literal -3 binary64))>
#<alt #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64))>
#<alt (*.f64 x x)>
Outputs
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt (/ -3 (pow x 3))>
#<alt (/ (- (* -1 x) 3) (pow x 3))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (/ -3 (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))>
#<alt (/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt -3>
#<alt (* -1 (+ 3 (/ 1 x)))>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)>
#<alt (/ -3 (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ (- (* -1 x) 3) (pow x 2))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (/ -1 x)>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (* -1 (/ (+ 1 (* 3 (/ 1 x))) x))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt -1>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt (/ 1 (pow x 2))>
#<alt 1>
#<alt (+ 1 (* 3 x))>
#<alt (+ 1 (* x (+ 3 x)))>
#<alt (+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)>
#<alt (/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))>
#<alt (* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))>
#<alt (/ -1 (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ (- (* -3 x) 1) (pow x 2))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (/ -3 x)>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt (* -1 (/ (+ 3 (/ 1 x)) x))>
#<alt -1>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (- (* -3 x) 1)>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -3 x)>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -1 (* x (+ 3 (/ 1 x))))>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (* -3 x)>
#<alt (/ -3 x)>
#<alt (/ (- (* -1 x) 3) x)>
#<alt (/ (- (* -1 x) 3) x)>
#<alt (/ (- (* -1 x) 3) x)>
#<alt -1>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt -1>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (* -1 (+ 1 (* 3 (/ 1 x))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
Calls

42 calls:

TimeVariablePointExpression
0.0ms
x
@-inf
(* x -3)
0.0ms
x
@0
(* (+ (* x -3) -1) (/ 1 (* x x)))
0.0ms
x
@inf
(* (+ (* x -3) -1) (/ 1 (* x x)))
0.0ms
x
@-inf
(* (+ (* x -3) -1) (/ 1 (* x x)))
0.0ms
x
@0
(- (/ x (+ x 1)) (/ (+ x 1) (- x 1)))

simplify247.0ms (3.9%)

Memory
-5.0MiB live, 361.6MiB allocated
Algorithm
1×egg-herbie
Rules
16 014×lower-fma.f64
16 014×lower-fma.f32
2 580×lower-*.f64
2 580×lower-*.f32
1 930×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0641080
11811003
2446972
31251972
43615972
57217972
08050936
Stop Event
1×iter limit
1×node limit
Counts
168 → 168
Calls
Call 1
Inputs
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/ -3 (pow x 3))
(/ (- (* -1 x) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/ -3 (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
-3
(* -1 (+ 3 (/ 1 x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(/ -3 (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ (- (* -1 x) 3) (pow x 2))
(/ -1 x)
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/ -1 x)
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
-1
(- (* -3 x) 1)
(- (* -3 x) 1)
(- (* -3 x) 1)
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
(/ 1 (pow x 2))
1
(+ 1 (* 3 x))
(+ 1 (* x (+ 3 x)))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/ -1 (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ (- (* -3 x) 1) (pow x 2))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/ -3 x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(* -1 (/ (+ 3 (/ 1 x)) x))
-1
(- (* -3 x) 1)
(- (* -3 x) 1)
(- (* -3 x) 1)
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -3 x)
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -1 (* x (+ 3 (/ 1 x))))
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(* -3 x)
(/ -3 x)
(/ (- (* -1 x) 3) x)
(/ (- (* -1 x) 3) x)
(/ (- (* -1 x) 3) x)
-1
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 (+ 1 (* 3 (/ 1 x))))
-1
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 (+ 1 (* 3 (/ 1 x))))
(* -1 (+ 1 (* 3 (/ 1 x))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) x)
(/ -3 (pow x 3))
(/.f64 #s(literal -3 binary64) (*.f64 x (*.f64 x x)))
(/ (- (* -1 x) 3) (pow x 3))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x (*.f64 x x)))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 3))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))
(/ -3 (pow x 2))
(/.f64 #s(literal -3 binary64) (*.f64 x x))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
(/ (- (* x (- (* -3 x) 1)) 3) (pow x 2))
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
-3
#s(literal -3 binary64)
(* -1 (+ 3 (/ 1 x)))
(+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
(- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3)
(+.f64 #s(literal -3 binary64) (/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x)))
(/ -3 (pow x 2))
(/.f64 #s(literal -3 binary64) (*.f64 x x))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/ (- (* -1 x) 3) (pow x 2))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(* -1 (/ (+ 1 (* 3 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) x) (*.f64 x x))
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) x)
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
1
#s(literal 1 binary64)
(+ 1 (* 3 x))
(fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64))
(+ 1 (* x (+ 3 x)))
(fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))
(+ 1 (* x (+ 3 (* x (+ 1 (* 3 x))))))
(*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -1 (/ (+ 1 (* 3 (/ 1 x))) x)) 3) x)
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))
(/ (- (* -1 (/ (+ 3 (/ 1 x)) (pow x 2))) (+ 3 (/ 1 x))) x)
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) x)
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (+ (/ 1 x) (/ 3 (pow x 2)))) x))
(/.f64 (fma.f64 x (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal -3 binary64)) (*.f64 x (*.f64 x x)))
(* -1 (/ (+ 3 (* -1 (/ (- (* -1 (/ (+ 3 (/ 1 x)) x)) 1) x))) x))
(/.f64 (-.f64 #s(literal -3 binary64) (/.f64 (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) x)
(/ -1 (pow x 2))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ (- (* -3 x) 1) (pow x 2))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
(* -1 (/ (+ 3 (/ 1 x)) x))
(/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x))
-1
#s(literal -1 binary64)
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(- (* -3 x) 1)
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -1 (* x (+ 3 (/ 1 x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(* -3 x)
(*.f64 x #s(literal -3 binary64))
(/ -3 x)
(/.f64 #s(literal -3 binary64) x)
(/ (- (* -1 x) 3) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(/ (- (* -1 x) 3) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(/ (- (* -1 x) 3) x)
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
-1
#s(literal -1 binary64)
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(* -1 (+ 1 (* 3 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)

rewrite300.0ms (4.7%)

Memory
-14.2MiB live, 362.9MiB allocated
Rules
5 824×lower-fma.f32
5 822×lower-fma.f64
4 292×lower-/.f32
4 284×lower-/.f64
2 978×lower-*.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034176
044166
1232156
22236156
08465156
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 282
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x)
(+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))
(/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
(/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x))
#s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
#s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64))
(*.f64 x x)
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 #s(literal 9 binary64) (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))) x) (/.f64 (/.f64 (/.f64 (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64))) (*.f64 x x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) (neg.f64 x)))
(-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)))) (/.f64 (/.f64 (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64))) (*.f64 x x)) (*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)))))
(neg.f64 (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) (neg.f64 x)))
(neg.f64 (/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x)
(/.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))) (neg.f64 x))
(/.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))) (*.f64 x (fma.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64))) (*.f64 x x))) (*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x))))
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)) x))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64))) (*.f64 x x))) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x))))) (neg.f64 (*.f64 x (fma.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64))) (*.f64 x x)))) (neg.f64 (*.f64 x (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)))))
(/.f64 (neg.f64 (+.f64 #s(literal 3 binary64) (neg.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)))) (neg.f64 (neg.f64 x)))
(/.f64 (*.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) #s(literal 1 binary64)) x)
(/.f64 (*.f64 (+.f64 #s(literal -27 binary64) (/.f64 (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)))) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) x)) (fma.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x) (-.f64 (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x) #s(literal -3 binary64)) #s(literal 9 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (/.f64 (*.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64))) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)))
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(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))
(/.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 9 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 x #s(literal -3 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 9 binary64)) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)))))))
(pow.f64 (/.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)))
(*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 #s(literal -27 binary64) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) #s(literal 9 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x #s(literal 3 binary64))))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 9 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -3 binary64) #s(literal 1 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(exp.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 #s(literal 1 binary64) x) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) x))) (neg.f64 (neg.f64 x)))
(pow.f64 x #s(literal -2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (neg.f64 x) #s(literal -2 binary64))
(pow.f64 (*.f64 x (*.f64 x (*.f64 x x))) #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))
(pow.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 x x) #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 x))) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x (neg.f64 x))))
(neg.f64 (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x (neg.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 x x) #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 x x) #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x x) #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 x x) #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) x))))
(/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x))
(/.f64 (neg.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))) (*.f64 x (neg.f64 x)))
(/.f64 (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) x) x)
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))))) (*.f64 x x))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) x)) (neg.f64 x))
(/.f64 (*.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) #s(literal -1 binary64))) (*.f64 x x))
(pow.f64 (/.f64 (*.f64 x x) #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 x x) #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 x (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) x)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 x x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) x))
(*.f64 (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
#s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64)))
(*.f64 x #s(literal -3 binary64))
(*.f64 #s(literal -3 binary64) x)
#s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x x) #s(literal -1 binary64)))
(neg.f64 (*.f64 x (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(*.f64 x x)
(*.f64 x (/.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 x)))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))

eval59.0ms (0.9%)

Memory
-13.4MiB live, 61.3MiB allocated
Compiler

Compiled 7 452 to 808 computations (89.2% saved)

prune173.0ms (2.7%)

Memory
-10.7MiB live, 111.4MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New4840484
Fresh000
Picked033
Done088
Total48411495
Accuracy
100.0%
Counts
495 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓75.8%
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓45.4%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
✓30.1%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
✓30.7%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
✓54.9%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
✓30.1%
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
✓46.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
✓54.3%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x))
✓46.0%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
✓45.5%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
✓46.1%
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Compiler

Compiled 335 to 117 computations (65.1% saved)

regimes13.0ms (0.2%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(approx (+ -1 (/ -3 x)) #s(literal -1 binary64)) x)) x))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (*.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x x))))
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -3 binary64) x)) x)) x))
(/.f64 (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (fma.f64 x (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal -1 binary64)))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (neg.f64 x) #s(literal 1 binary64))))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (*.f64 (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x (*.f64 x x))) (+.f64 x (/.f64 #s(literal 1 binary64) x))))
(/.f64 (/.f64 (-.f64 (fma.f64 x x (neg.f64 x)) (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (+.f64 x #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x))
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

6.0ms
x
5.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
100.0%3x
100.0%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 8 computations (50% saved)

regimes4.0ms (0.1%)

Memory
5.0MiB live, 5.0MiB allocated
Counts
11 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
(/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Calls

1 calls:

3.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.7%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 7 computations (50% saved)

regimes10.0ms (0.2%)

Memory
-27.7MiB live, 10.6MiB allocated
Counts
10 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(approx (+ (* x -3) -1) (*.f64 x #s(literal -3 binary64))) (*.f64 x x)))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64)) (*.f64 x x)))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
Calls

2 calls:

5.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
4.0ms
x
Results
AccuracySegmentsBranch
98.2%3x
98.2%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 8 computations (50% saved)

regimes3.0ms (0%)

Memory
5.5MiB live, 5.5MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (/.f64 #s(literal -3 binary64) x))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
98.1%2(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 14 to 7 computations (50% saved)

regimes5.0ms (0.1%)

Memory
10.3MiB live, 10.3MiB allocated
Accuracy

Total -0.9b remaining (-2.5%)

Threshold costs -0.9b (-2.5%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (/ (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (+ (* x x) -1)) (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64)))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (+.f64 (*.f64 x (+.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
Outputs
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Calls

2 calls:

2.0ms
x
2.0ms
(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
46.1%1x
46.1%1(-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 16 to 8 computations (50% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.9984014443252818e-15
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.0
1.9984014443252818e-15
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.10524048646148298
0.4645978102099567
Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.10524048646148298
0.4645978102099567
Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify9.0ms (0.1%)

Memory
16.2MiB live, 16.2MiB allocated
Algorithm
1×egg-herbie
Rules
22×+-commutative_binary64
16×sub-neg_binary64
12×*-commutative_binary64
12×neg-sub0_binary64
12×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046242
156242
266242
385242
497242
5102242
6104242
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))
Outputs
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 (+.f64 #s(literal -3 binary64) (/.f64 #s(literal -1 binary64) x)) x)) (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) (/.f64 #s(approx (- (+ (* x x) (neg x)) (* (+ x 1) (+ x 1))) (fma.f64 x #s(literal -3 binary64) #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (*.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))))
(if (<=.f64 (-.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 #s(literal 3 binary64) x) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal -1 binary64) x) (+.f64 x #s(literal -1 binary64)))) #s(literal 3602879701896397/18014398509481984 binary64)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (/.f64 #s(literal -3 binary64) x)) #s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) (fma.f64 x (+.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
#s(approx (- (/ x (+ x 1)) (/ (+ x 1) (- x 1))) #s(literal 1 binary64))

soundness850.0ms (13.4%)

Memory
0.2MiB live, 504.7MiB allocated
Rules
14 384×lower-fma.f64
14 384×lower-fma.f32
9 608×lower-fma.f64
9 608×lower-fma.f32
5 084×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0728
01228
16728
270428
0808528
095332
1262322
2585310
31504292
43719290
56658290
08041279
01001411
13101324
28541279
333701267
473411267
080491182
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 247 to 99 computations (59.9% saved)

preprocess80.0ms (1.3%)

Memory
-8.9MiB live, 83.5MiB allocated
Compiler

Compiled 276 to 76 computations (72.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...