Asymptote B

Time bar (total: 5.1s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze2.0ms (0%)

Memory
3.8MiB live, 3.8MiB 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 13 to 9 computations (30.8% saved)

sample671.0ms (13.2%)

Memory
25.3MiB live, 968.2MiB allocated
Samples
441.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 287.0ms
ival-add: 114.0ms (39.8% of total)
ival-div: 110.0ms (38.4% of total)
ival-sub: 50.0ms (17.4% of total)
ival-true: 5.0ms (1.7% of total)
exact: 5.0ms (1.7% of total)
ival-assert: 3.0ms (1% of total)
Bogosity

explain97.0ms (1.9%)

Memory
-31.1MiB live, 131.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(-.f64 x #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
00-0-(/.f64 x (+.f64 x #s(literal 1 binary64)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
38.0ms512×0valid
Compiler

Compiled 102 to 32 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-add: 15.0ms (59.3% of total)
ival-div: 7.0ms (27.7% of total)
ival-sub: 3.0ms (11.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess18.0ms (0.4%)

Memory
31.0MiB live, 31.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0929
12524
26322
313622
425822
544522
647822
749222
850522
0711
01211
11911
22011
02011
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify7.0ms (0.1%)

Memory
-29.8MiB live, 6.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0729
01229
11929
22029
02029
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 x #s(literal 1 binary64))
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))

localize22.0ms (0.4%)

Memory
-6.2MiB live, 40.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0078125
(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy0.01171875
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
accuracy0.01953125
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
Samples
15.0ms256×0valid
Compiler

Compiled 60 to 16 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-div: 3.0ms (41% of total)
ival-sub: 2.0ms (27.3% of total)
ival-add: 2.0ms (27.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
5 → 31
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.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)))
(+.f64 x #s(literal 1 binary64))
Outputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(- x 1)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(+ 1 x)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* x (- 1 (/ 1 x)))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* x (+ 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(* -1 (* x (- (/ 1 x) 1)))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
Calls

3 calls:

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

simplify162.0ms (3.2%)

Memory
11.2MiB live, 169.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083284
1211282
2472271
31245251
43312245
56616243
67974243
08027235
Stop Event
1×iter limit
1×node limit
Counts
31 → 30
Calls
Call 1
Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(- x 1)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
1
(+ 1 x)
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* x (- 1 (/ 1 x)))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* x (+ 1 (/ 1 x)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(* -1 (* x (- (/ 1 x) 1)))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) x (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64))
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(- x 1)
(-.f64 x #s(literal 1 binary64))
x
(* x (+ 1 (* -1 x)))
(fma.f64 (neg.f64 x) x x)
(* x (+ 1 (* x (- x 1))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (pow.f64 x #s(literal 3 binary64)) x))
1
#s(literal 1 binary64)
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) x)
(* x (- 1 (/ 1 x)))
(-.f64 x #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 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) x)
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x))

rewrite191.0ms (3.7%)

Memory
-2.8MiB live, 206.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
01227
16627
270127
0965027
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 561
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.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)))
(+.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))))
(*.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) x (-.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (+.f64 (/.f64 (-.f64 #s(literal -1 binary64) x) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 (-.f64 (+.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) x) #s(literal 1 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))))))
(*.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) (*.f64 (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))))))
(*.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))
(*.f64 #s(literal 1 binary64) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))))
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(fma.f64 (neg.f64 x) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x))
(-.f64 x #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (*.f64 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) x))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 x x)))
(+.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))
(+.f64 (*.f64 (/.f64 x (-.f64 x #s(literal 1 binary64))) x) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)

eval111.0ms (2.2%)

Memory
7.2MiB live, 127.1MiB allocated
Compiler

Compiled 14 178 to 1 738 computations (87.7% saved)

prune36.0ms (0.7%)

Memory
0.3MiB live, 36.9MiB allocated
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New5786584
Fresh000
Picked011
Done000
Total5787585
Accuracy
100.0%
Counts
585 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.9%
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
54.0%
(+.f64 #s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶54.9%
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶54.0%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
▶46.2%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
▶54.1%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 203 to 137 computations (32.5% saved)

simplify192.0ms (3.8%)

Memory
-15.5MiB live, 141.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (+.f64 x #s(literal 1 binary64)))
cost-diff0
(-.f64 #s(literal -1 binary64) x)
cost-diff0
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
cost-diff0
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
cost-diff0
(*.f64 x x)
cost-diff0
(/.f64 #s(literal 2 binary64) (*.f64 x x))
cost-diff0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
cost-diff0
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
cost-diff0
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
cost-diff0
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
cost-diff0
(-.f64 x #s(literal -1 binary64))
cost-diff0
(-.f64 x #s(literal 1 binary64))
cost-diff0
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
cost-diff384
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027153
042153
167153
2101151
3197147
4411147
51567144
65152144
77936144
08038139
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 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)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal -2 binary64)
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
#s(literal 1 binary64)
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)

localize57.0ms (1.1%)

Memory
4.0MiB live, 77.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.0078125
(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy0.01171875
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
accuracy29.402281932691153
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
accuracy0.0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.6850430727662895
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy34.428447350161036
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
accuracy0.0
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
accuracy0.0
(*.f64 x x)
accuracy29.449485108010045
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
accuracy29.407626270476964
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.0
(-.f64 x #s(literal -1 binary64))
accuracy0.01171875
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64)))
accuracy14.297037311998695
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Samples
39.0ms256×0valid
Compiler

Compiled 288 to 51 computations (82.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-sub: 8.0ms (31.3% of total)
ival-div: 6.0ms (23.5% of total)
ival-add: 6.0ms (23.5% of total)
ival-mult: 5.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
16 → 40
Calls
Call 1
Inputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(*.f64 x x)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
1
(+ 1 (pow x 2))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(- x 1)
(+ 1 x)
(pow x 2)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* x (- 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
Calls

3 calls:

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

simplify177.0ms (3.5%)

Memory
-7.8MiB live, 250.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092329
1241327
2570315
31540295
43768291
57659291
08127277
Stop Event
1×iter limit
1×node limit
Counts
40 → 39
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(- x 1)
(+ 1 x)
(pow x 2)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* x (- 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* -1 x)
(* -1 (* x (+ 1 (/ 1 x))))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* -1 (* x (- (/ 1 x) 1)))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal -1 binary64))
(- x 1)
(-.f64 x #s(literal 1 binary64))
(+ 1 x)
(-.f64 x #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) x) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
x
(* x (+ 1 (* -1 x)))
(fma.f64 (neg.f64 x) x x)
(* x (+ 1 (* x (- x 1))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x x))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)))
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* -2 (pow x 2))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(- 1 (/ 1 x))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x) #s(literal -1 binary64)) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) x)
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) x) #s(literal -1 binary64)) x))

rewrite146.0ms (2.9%)

Memory
10.5MiB live, 202.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
027133
042133
1197131
21859131
08164129
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 480
Calls
Call 1
Inputs
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64)))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(-.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(*.f64 x x)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x))
(-.f64 #s(literal -1 binary64) x)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x)))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64))) (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)))))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 x x (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.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 x #s(literal 1 binary64)) x))
(fma.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 #s(literal 1 binary64) x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(fma.f64 x (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 2 binary64)) (+.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal -1 binary64))))
(-.f64 (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (-.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 3 binary64)) (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal -1 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal -1 binary64))))))
(-.f64 (/.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x))) (/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x))))
(-.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal -1 binary64))
(-.f64 x (-.f64 #s(literal -1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(+.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x x) #s(literal 1 binary64))
(+.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal -1 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) x x))
(+.f64 x (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (-.f64 (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 (fma.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (+.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 x (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (fma.f64 (+.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64))))
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x x) x))))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 x #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval77.0ms (1.5%)

Memory
-24.2MiB live, 95.5MiB allocated
Compiler

Compiled 11 860 to 1 574 computations (86.7% saved)

prune12.0ms (0.2%)

Memory
31.8MiB live, 31.8MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New4775482
Fresh101
Picked145
Done011
Total47910489
Accuracy
100.0%
Counts
489 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.9%
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶55.3%
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓100.0%
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓54.9%
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
▶3.4%
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓54.0%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
✓46.2%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
▶2.5%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
▶2.8%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
✓54.1%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 282 to 194 computations (31.2% saved)

simplify257.0ms (5%)

Memory
-31.5MiB live, 126.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
038222
050222
178222
2109214
3175202
4325202
51122202
63480202
75355202
87178202
08118200
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
#s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
#s(literal -2 binary64)
(*.f64 x x)
x
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))
#s(approx (- -1 x) (neg.f64 x))
(neg.f64 x)
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
#s(literal -1 binary64)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 (*.f64 #s(literal -2 binary64) x) x)))
#s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
#s(approx (+ (* (* x x) -2) -1) (*.f64 (*.f64 #s(literal -2 binary64) x) x))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 (*.f64 #s(literal -2 binary64) x) x)
#s(literal -2 binary64)
(*.f64 x x)
x
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
#s(literal 2 binary64)
(*.f64 x x)
x
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
#s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))
#s(approx (- -1 x) (neg.f64 x))
(neg.f64 x)
x
(/.f64 x (+.f64 x #s(literal 1 binary64)))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)

localize58.0ms (1.1%)

Memory
30.3MiB live, 68.0MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy0.01171875
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
accuracy29.402281932691153
#s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))
accuracy33.86437523874398
#s(approx (- -1 x) (neg.f64 x))
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy14.297037311998695
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
accuracy28.577621428045557
#s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.6850430727662895
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy28.569505451198445
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
accuracy34.428447350161036
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
accuracy0.0
(*.f64 x x)
accuracy0.0078125
(*.f64 #s(literal -2 binary64) (*.f64 x x))
accuracy29.449485108010045
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
accuracy33.308157939652105
#s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
accuracy0.0
(fma.f64 x x #s(literal 1 binary64))
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy0.0
#s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))
accuracy14.297037311998695
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Samples
41.0ms256×0valid
Compiler

Compiled 380 to 68 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-add: 7.0ms (28.2% of total)
ival-div: 6.0ms (24.2% of total)
ival-mult: 6.0ms (24.2% of total)
ival-sub: 4.0ms (16.1% of total)
ival-neg: 1.0ms (4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
18 → 37
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
#s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64))
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))
#s(approx (- -1 x) (neg.f64 x))
(neg.f64 x)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
Outputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (pow x 2))
(- (pow x 2) 1)
(* -2 (pow x 2))
(pow x 2)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(* -1 x)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* -1 (* x (+ 1 (/ 1 x))))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
Calls

3 calls:

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

simplify190.0ms (3.7%)

Memory
-2.6MiB live, 122.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090324
1236322
2563310
31543290
43555286
56684286
08228270
Stop Event
1×iter limit
1×node limit
Counts
37 → 36
Calls
Call 1
Inputs
-1
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (pow x 2))
(- (pow x 2) 1)
(* -2 (pow x 2))
(pow x 2)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(- (* -1 x) 1)
(- (* x (- (* -1 x) 1)) 1)
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(* -1 x)
x
(* x (+ 1 (* -1 x)))
(* x (+ 1 (* x (- x 1))))
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(/ 1 x)
(/ (+ 1 (/ 1 x)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(* -1 (* x (+ 1 (/ 1 x))))
(- 1 (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x))
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (pow x 2)) 1)
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 (fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x x) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(pow x 2)
(*.f64 x x)
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(/.f64 (/.f64 (fma.f64 x x #s(literal 2 binary64)) x) x)
(- (* -1 x) 1)
(-.f64 #s(literal -1 binary64) x)
(- (* x (- (* -1 x) 1)) 1)
(fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))
(- (* x (- (* x (- (* -1 x) 1)) 1)) 1)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) x))
(* -1 x)
(neg.f64 x)
x
(* x (+ 1 (* -1 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) x)
(* x (+ 1 (* x (- x 1))))
(*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) x)
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(+.f64 (+.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal -2 binary64) 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))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (+ 1 (/ 1 x)) x)
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)
(/.f64 (/.f64 (-.f64 (-.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) x) x)
(/ (+ 1 (+ (/ 1 x) (+ (/ 1 (pow x 2)) (/ 1 (pow x 3))))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) x)
(* -1 (* x (+ 1 (/ 1 x))))
(-.f64 #s(literal -1 binary64) x)
(- 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 (/ (- (* -1 (/ (+ 1 (/ 1 x)) x)) 1) x))
(/.f64 (/.f64 (-.f64 (-.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64)) x) x)
(* -1 (/ (- (* -1 (/ (+ 1 (+ (/ 1 x) (/ 1 (pow x 2)))) x)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)) x)) 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))

rewrite198.0ms (3.9%)

Memory
0.1MiB live, 188.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038200
050200
1219196
21972196
08346192
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 294
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
#s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x)))
(*.f64 #s(literal -2 binary64) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64))
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
#s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))
#s(approx (- -1 x) (neg.f64 x))
(neg.f64 x)
(/.f64 x (+.f64 x #s(literal 1 binary64)))
Outputs
(*.f64 (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(*.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(pow.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #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 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (- x -1)) (fma.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)) #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))))) #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64))))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 6 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal 1 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))))) (/.f64 (neg.f64 (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 x x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (*.f64 x x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 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)))
(pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x))
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))))
(neg.f64 (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)))) #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))) (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (-.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))) (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))) (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)) (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (*.f64 (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (*.f64 (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))) (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))))))
(/.f64 (+.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))) (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (-.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))) (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64)))) (-.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))) (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64))) (+.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))
(fma.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))
(fma.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))
(-.f64 (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))) (/.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)) (-.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))))
(-.f64 (/.f64 (pow.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) #s(literal 2 binary64)) (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64))))) (/.f64 (pow.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64))))))
(+.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))))
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (-.f64 x #s(literal -1 binary64))))
#s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x)))
#s(approx (- -1 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))
(/.f64 (neg.f64 (*.f64 (neg.f64 x) x)) (neg.f64 (+.f64 #s(literal 0 binary64) x)))
(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x))
(neg.f64 x)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.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)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) x)
(*.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 x #s(literal -1 binary64))))
(*.f64 x (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (-.f64 #s(literal -1 binary64) x))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (*.f64 (-.f64 #s(literal -1 binary64) x) x)) (pow.f64 (-.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (-.f64 #s(literal -1 binary64) x)))
(/.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(/.f64 x (-.f64 x #s(literal -1 binary64)))
(neg.f64 (/.f64 (neg.f64 x) (-.f64 x #s(literal -1 binary64))))
(neg.f64 (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (-.f64 #s(literal -1 binary64) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) #s(literal -1 binary64)))

eval51.0ms (1%)

Memory
-14.3MiB live, 106.9MiB allocated
Compiler

Compiled 11 404 to 1 124 computations (90.1% saved)

prune10.0ms (0.2%)

Memory
-5.3MiB live, 33.6MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New4151416
Fresh000
Picked055
Done145
Total41610426
Accuracy
100.0%
Counts
426 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.9%
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
▶76.9%
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
✓55.3%
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓54.9%
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓3.4%
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓54.0%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
✓46.2%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
✓2.5%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓2.8%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
✓54.1%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 188 to 129 computations (31.4% saved)

simplify198.0ms (3.9%)

Memory
28.3MiB live, 182.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
01648
12948
25344
312238
422738
586638
6299938
7460738
8584738
9663938
10696938
11714638
12723438
0805636
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
Outputs
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(fma.f64 x x #s(literal -1 binary64))
(*.f64 x x)

localize93.0ms (1.8%)

Memory
-6.7MiB live, 83.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.0
#s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))
accuracy0.00390625
(-.f64 (*.f64 x x) #s(literal 1 binary64))
accuracy14.297037311998695
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
Samples
39.0ms256×0valid
Compiler

Compiled 89 to 26 computations (70.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sub: 24.0ms (75.4% of total)
ival-mult: 3.0ms (9.4% of total)
ival-div: 2.0ms (6.3% of total)
ival-add: 2.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory
2.2MiB live, 2.2MiB allocated
Counts
5 → 13
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
Outputs
-1
(- (pow x 2) 1)
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
Calls

3 calls:

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

simplify158.0ms (3.1%)

Memory
-23.5MiB live, 171.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
035103
176103
2163103
338599
482997
5135997
6294197
7562097
8782297
0807386
Stop Event
1×iter limit
1×node limit
Counts
13 → 13
Calls
Call 1
Inputs
-1
(- (pow x 2) 1)
(- (* -2 (pow x 2)) 1)
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
1
(+ 1 (pow x 2))
(pow x 2)
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
Outputs
-1
#s(literal -1 binary64)
(- (pow x 2) 1)
(fma.f64 x x #s(literal -1 binary64))
(- (* -2 (pow x 2)) 1)
(fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 1)
(fma.f64 (fma.f64 x x (pow.f64 x #s(literal 4 binary64))) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2 (pow x 2)) 2)) 2)) 1)
(fma.f64 (fma.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) x) x (pow.f64 x #s(literal 6 binary64))) #s(literal -2 binary64) #s(literal -1 binary64))
1
#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))
(+ 1 (* 2 (/ 1 (pow x 2))))
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (/ 2 (pow x 4))))
(fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 6))) (/ 2 (pow x 4)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) (fma.f64 x x #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))) #s(literal 1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))

rewrite236.0ms (4.6%)

Memory
24.4MiB live, 215.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
01646
18246
267042
0935138
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 624
Calls
Call 1
Inputs
(-.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
(*.f64 x x)
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(*.f64 (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.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 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (-.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)))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -1 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 4 binary64)))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (-.f64 x #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (fma.f64 (-.f64 x #s(literal -1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal 8 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x #s(literal 1 binary64)))) (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (*.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
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(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
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(*.f64 (*.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval447.0ms (8.8%)

Memory
-407.1MiB live, 138.0MiB allocated
Compiler

Compiled 21 972 to 1 937 computations (91.2% saved)

prune13.0ms (0.3%)

Memory
37.1MiB live, 37.1MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New6340634
Fresh000
Picked011
Done099
Total63410644
Accuracy
100.0%
Counts
644 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓76.9%
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
✓76.9%
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
✓55.3%
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
✓54.9%
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓3.4%
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
✓54.0%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
✓46.2%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
✓2.5%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
✓2.8%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
✓54.1%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 418 to 190 computations (54.5% saved)

regimes31.0ms (0.6%)

Memory
-22.0MiB live, 15.6MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 #s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Calls

2 calls:

26.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
4.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes7.0ms (0.1%)

Memory
15.5MiB live, 15.5MiB allocated
Counts
12 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
(+.f64 #s(approx (/ 1 (- x 1)) (fma.f64 (-.f64 #s(literal -1 binary64) x) x #s(literal -1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
Calls

2 calls:

4.0ms
x
3.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
100.0%3x
99.6%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes3.0ms (0.1%)

Memory
6.3MiB live, 6.3MiB allocated
Counts
9 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.6%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes11.0ms (0.2%)

Memory
-36.7MiB live, 5.6MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 #s(approx (/ 1 (- x 1)) #s(approx (- -1 x) (neg.f64 x))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 #s(approx (/ 1 (- x 1)) (-.f64 #s(literal -1 binary64) x)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
Calls

1 calls:

2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.3%2(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Outputs
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
Calls

2 calls:

2.0ms
x
2.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
55.3%1x
55.3%1(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Compiler

Compiled 12 to 8 computations (33.3% saved)

regimes4.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Accuracy

Total -34.0b remaining (-115.7%)

Threshold costs -34b (-115.7%)

Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (* (* x x) -2) -1) (*.f64 #s(literal -2 binary64) (*.f64 x x))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Calls

2 calls:

2.0ms
x
1.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
54.1%1(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
54.1%1x
Compiler

Compiled 12 to 8 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0
1.0
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0
1.0
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-1.0
1.0
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify54.0ms (1.1%)

Memory
8.1MiB live, 44.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
037196
153196
275196
3154184
4317184
51394184
63102184
75464184
Stop Event
1×node limit
Calls
Call 1
Inputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Outputs
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 (*.f64 x x) #s(literal 1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(if (<=.f64 (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) #s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

soundness1.0s (19.9%)

Memory
-0.2MiB live, 509.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092329
1241327
2570315
31540295
43768291
57659291
08127277
038200
050200
1219196
21972196
08346192
0727
01227
16627
270127
0965027
083284
1211282
2472271
31245251
43312245
56616243
67974243
08027235
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 359 to 133 computations (63% saved)

preprocess69.0ms (1.3%)

Memory
22.6MiB live, 57.9MiB allocated
Compiler

Compiled 414 to 92 computations (77.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...