Asymptote B

Time bar (total: 4.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze2.0ms (0.1%)

Memory
1.8MiB live, 1.8MiB allocated
Algorithm
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)

sample860.0ms (21.6%)

Memory
-4.1MiB live, 584.9MiB allocated
Samples
573.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 332.0ms
ival-div: 120.0ms (36.1% of total)
ival-sub: 105.0ms (31.6% of total)
ival-add: 94.0ms (28.3% of total)
ival-true: 6.0ms (1.8% of total)
exact: 5.0ms (1.5% of total)
ival-assert: 3.0ms (0.9% of total)
Bogosity

explain136.0ms (3.4%)

Memory
-0.1MiB live, 117.7MiB 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
42.0ms512×0valid
Compiler

Compiled 102 to 32 computations (68.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sub: 16.0ms (55.5% of total)
ival-div: 7.0ms (24.3% of total)
ival-add: 5.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess18.0ms (0.5%)

Memory
19.2MiB live, 19.2MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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
0.6MiB live, 0.6MiB 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)

simplify3.0ms (0.1%)

Memory
2.5MiB live, 2.5MiB allocated
Algorithm
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
iter limit
saturated
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))

localize59.0ms (1.5%)

Memory
-11.5MiB live, 25.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 x #s(literal 1 binary64))
accuracy0.00390625
(/.f64 x (+.f64 x #s(literal 1 binary64)))
accuracy0.00390625
(/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
accuracy0.00390625
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Samples
53.0ms256×0valid
Compiler

Compiled 60 to 16 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (44.9% of total)
ival-sub: 3.0ms (33.7% of total)
ival-add: 2.0ms (22.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory
2.9MiB live, 2.9MiB 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))

simplify135.0ms (3.4%)

Memory
6.9MiB live, 126.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083284
1211282
2472271
31245251
43312245
56616243
67974243
08027235
Stop Event
iter limit
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))

rewrite163.0ms (4.1%)

Memory
-14.2MiB live, 218.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0727
01227
16627
270127
0965027
Stop Event
iter limit
node limit
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)

eval102.0ms (2.5%)

Memory
15.4MiB live, 181.3MiB allocated
Compiler

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

prune11.0ms (0.3%)

Memory
-11.8MiB live, 33.5MiB allocated
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New5804584
Fresh000
Picked101
Done000
Total5814585
Accuracy
100.0%
Counts
585 → 4
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.1%
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
46.9%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
53.9%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
47.1%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 63 to 42 computations (33.3% saved)

simplify165.0ms (4.1%)

Memory
5.0MiB live, 199.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
022115
033115
154115
286113
3180109
4353109
51406106
66040106
08165101
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 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)
#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)
(/.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))
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 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)
#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)
(/.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))

localize49.0ms (1.2%)

Memory
-6.0MiB live, 71.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(fma.f64 x x #s(literal -1 binary64))
accuracy0.0
(-.f64 x #s(literal 1 binary64))
accuracy0.0
(-.f64 x #s(literal -1 binary64))
accuracy17.922078577761074
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal -1 binary64))) (fma.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)
accuracy34.00576372736144
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
accuracy0.0
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
accuracy0.0
(*.f64 x x)
accuracy0.6356510396240093
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy29.499893730899664
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
accuracy33.83863305586576
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Samples
36.0ms256×0valid
Compiler

Compiled 220 to 45 computations (79.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 8.0ms (31.9% of total)
ival-mult: 7.0ms (27.9% of total)
ival-add: 6.0ms (23.9% of total)
ival-sub: 3.0ms (12% 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
7.7MiB live, 7.7MiB allocated
Counts
12 → 23
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #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))
(*.f64 x x)
#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))
(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))
(fma.f64 x 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)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(pow x 2)
1
(+ 1 (pow x 2))
(- x 1)
(+ 1 x)
(- (pow x 2) 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)))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
x
(* x (- 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (* x (- (/ 1 x) 1)))
Calls

3 calls:

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

simplify128.0ms (3.2%)

Memory
11.4MiB live, 132.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051145
1121145
2283145
3700141
41783139
56497137
08102127
Stop Event
iter limit
node limit
Counts
23 → 22
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)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(pow x 2)
1
(+ 1 (pow x 2))
(- x 1)
(+ 1 x)
(- (pow x 2) 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)))))
(* -2 (pow x 2))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
x
(* x (- 1 (/ 1 x)))
(* x (+ 1 (/ 1 x)))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(* -1 (* x (- (/ 1 x) 1)))
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 x x (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64))
(/ 2 (pow x 2))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/ (+ 2 (pow x 2)) (pow x 2))
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal -1 binary64))
(pow x 2)
(*.f64 x x)
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.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) 1)
(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))) (+.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))))
(* -2 (pow x 2))
(*.f64 (*.f64 x x) #s(literal -2 binary64))
(* -1 (* (pow x 2) (+ 2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
x
(* x (- 1 (/ 1 x)))
(-.f64 x #s(literal 1 binary64))
(* x (+ 1 (/ 1 x)))
(-.f64 x #s(literal -1 binary64))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))
(* -1 (* x (- (/ 1 x) 1)))
(-.f64 x #s(literal 1 binary64))

rewrite344.0ms (8.6%)

Memory
-32.9MiB live, 272.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
022102
033102
1168100
21646100
0839398
Stop Event
iter limit
node limit
iter limit
Counts
12 → 642
Calls
Call 1
Inputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #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))
(*.f64 x x)
#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))
(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))
(fma.f64 x x #s(literal -1 binary64))
Outputs
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -6 binary64)) #s(literal 8 binary64) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal -4 binary64)) #s(literal 4 binary64) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))))))
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(fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 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 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)) (-.f64 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 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #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 x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.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)) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 x (-.f64 x #s(literal -1 binary64)) (fma.f64 #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 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) (*.f64 x x) #s(literal -1 binary64))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(-.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 (*.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.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 (*.f64 x x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 x x))

eval83.0ms (2.1%)

Memory
-7.7MiB live, 184.5MiB allocated
Compiler

Compiled 17 432 to 2 049 computations (88.2% saved)

prune38.0ms (0.9%)

Memory
3.3MiB live, 42.1MiB allocated
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New6672669
Fresh000
Picked134
Done000
Total6685673
Accuracy
100.0%
Counts
673 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.1%
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
46.9%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
53.9%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
2.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
47.1%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 94 to 63 computations (33% saved)

simplify289.0ms (7.2%)

Memory
4.0MiB live, 215.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
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)))
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))))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02392
02892
14692
27288
314382
424782
591882
6308282
7489282
8655782
9794682
0807882
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
#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)) (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)
Outputs
#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)) (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)

localize80.0ms (2%)

Memory
-8.8MiB live, 64.4MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
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)))
accuracy17.922078577761074
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
accuracy0.0
(*.f64 x x)
accuracy0.6356510396240093
(/.f64 #s(literal 2 binary64) (*.f64 x x))
accuracy29.499893730899664
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
accuracy32.97192189798418
#s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
Samples
31.0ms256×0valid
Compiler

Compiled 159 to 46 computations (71.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 7.0ms (30.8% of total)
ival-add: 7.0ms (30.8% of total)
ival-sub: 6.0ms (26.4% of total)
ival-mult: 3.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
8 → 15
Calls
Call 1
Inputs
#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 x x)
(/.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))
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)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(pow x 2)
1
(+ 1 (pow x 2))
(- (pow x 2) 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))))
Calls

3 calls:

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

simplify159.0ms (4%)

Memory
-0.5MiB live, 150.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038117
179117
2168117
3393113
4850111
51398111
62972111
75629111
87842111
0809399
Stop Event
iter limit
node limit
Counts
15 → 15
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)
(/ 2 (pow x 2))
(/ (+ 2 (pow x 2)) (pow x 2))
(pow x 2)
1
(+ 1 (pow x 2))
(- (pow x 2) 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))))
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 (+.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))
(/ 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)
(pow x 2)
(*.f64 x x)
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))
(+ 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))
(* (pow x 2) (- 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal -1 binary64))

rewrite171.0ms (4.3%)

Memory
18.6MiB live, 180.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02387
02887
115687
2154787
0810583
Stop Event
iter limit
node limit
iter limit
Counts
8 → 280
Calls
Call 1
Inputs
#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 x x)
(/.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))
Outputs
#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 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 2 binary64) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 (neg.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) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 x x)))
(pow.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x))) (neg.f64 (neg.f64 x)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))) (neg.f64 x))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(/.f64 (/.f64 #s(literal 2 binary64) x) x)
(/.f64 #s(literal -2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) x))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 #s(literal 2 binary64) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 2 binary64) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.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))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
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(*.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))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
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(fma.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)) x))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x (-.f64 x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))) (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) #s(literal -1 binary64))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(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 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 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 #s(literal 1 binary64) x)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 x (-.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 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #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 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 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 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (/.f64 (-.f64 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 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)) (-.f64 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 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #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 x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 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 (/.f64 x (-.f64 x #s(literal -1 binary64))) (/.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal -1 binary64)) x (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (*.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64)))
(fma.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)) x))
(fma.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) x (-.f64 x #s(literal 1 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fma.f64 x (-.f64 x #s(literal -1 binary64)) (fma.f64 #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 x #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x 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))
(expm1.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 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 (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 (*.f64 x (-.f64 x #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64)))
(+.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(+.f64 #s(literal -1 binary64) (*.f64 x x))
(+.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(+.f64 (*.f64 x x) #s(literal -1 binary64))
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))

eval110.0ms (2.8%)

Memory
-30.0MiB live, 57.9MiB allocated
Compiler

Compiled 8 862 to 962 computations (89.1% saved)

prune7.0ms (0.2%)

Memory
16.8MiB live, 16.8MiB allocated
Pruning

5 alts after pruning (0 fresh and 5 done)

PrunedKeptTotal
New2910291
Fresh000
Picked022
Done033
Total2915296
Accuracy
100.0%
Counts
296 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.1%
(/.f64 #s(approx (+ (* (- x 1) x) (- x -1)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))
46.9%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)))
53.9%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
2.6%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(approx (+ (/ 2 (* x x)) 1) (/.f64 #s(literal 2 binary64) (*.f64 x x))))
47.1%
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))
Compiler

Compiled 212 to 103 computations (51.4% saved)

regimes5.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
7 → 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))) (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))))
#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)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x 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:

3.0ms
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
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)

regimes5.0ms (0.1%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
6 → 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))) (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))))
#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)) (fma.f64 x x #s(literal 1 binary64))) (fma.f64 x 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))) (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

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
100.0%3x
100.0%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)

regimes9.0ms (0.2%)

Memory
-32.3MiB live, 7.0MiB allocated
Counts
4 → 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))) (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))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 x 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:

8.0ms
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 x (+.f64 x #s(literal 1 binary64))))
Results
AccuracySegmentsBranch
99.9%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)

regimes3.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Accuracy

Total -29.6b remaining (-87.5%)

Threshold costs -29.6b (-87.5%)

Counts
3 → 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))) (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
47.1%1x
47.1%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)

bsearch0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999999
1.0
Compiler

Compiled 14 to 11 computations (21.4% saved)

bsearch0.0ms (0%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999999
1.0
Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify53.0ms (1.3%)

Memory
3.4MiB live, 41.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033127
148127
270127
3148123
4310123
51386123
63091123
75446123
Stop Event
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 -1/2 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 -1/2 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))))
#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 -1/2 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 -1/2 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 -1/2 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 -1/2 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))))
#s(approx (+ (/ 1 (- x 1)) (/ x (+ x 1))) #s(literal -1 binary64))

soundness724.0ms (18.2%)

Memory
-9.5MiB live, 429.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051145
1121145
2283145
3700141
41783139
56497137
08102127
083284
1211282
2472271
31245251
43312245
56616243
67974243
08027235
0727
01227
16627
270127
0965027
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 181 to 72 computations (60.2% saved)

preprocess71.0ms (1.8%)

Memory
-1.9MiB live, 36.6MiB allocated
Compiler

Compiled 276 to 84 computations (69.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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