subtraction fraction

Time bar (total: 6.4s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample612.0ms (9.5%)

Memory
27.0MiB live, 748.8MiB allocated
Samples
362.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 196.0ms
ival-div: 56.0ms (28.5% of total)
ival-add: 48.0ms (24.4% of total)
ival-sub: 45.0ms (22.9% of total)
ival-neg: 38.0ms (19.3% of total)
ival-true: 6.0ms (3.1% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

explain87.0ms (1.4%)

Memory
14.5MiB live, 89.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
00-0-(-.f64 f n)
00-0-f
00-0-n
00-0-(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
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
30.0ms512×0valid
Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 10.0ms (54.8% of total)
ival-sub: 3.0ms (16.4% of total)
ival-add: 3.0ms (16.4% of total)
ival-neg: 2.0ms (11% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess68.0ms (1.1%)

Memory
-29.6MiB live, 53.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01846
16135
217135
341435
4117235
5144635
6150335
7157135
8162835
068
0108
1218
2418
3787
41637
53077
66107
77227
87547
97707
107717
07717
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify19.0ms (0.3%)

Memory
28.8MiB live, 28.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 f n)
cost-diff0
(+.f64 f n)
cost-diff0
(neg.f64 (+.f64 f n))
cost-diff128
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0620
01020
12120
24120
37819
416319
530719
661019
772219
875419
977019
1077119
077119
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
(-.f64 f n)
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
(-.f64 f n)

localize21.0ms (0.3%)

Memory
-7.5MiB live, 29.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 f n)
accuracy0
(+.f64 f n)
accuracy0
(neg.f64 (+.f64 f n))
accuracy0.03191376953688403
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
14.0ms256×0valid
Compiler

Compiled 42 to 14 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.8% of total)
ival-add: 2.0ms (33.8% of total)
ival-sub: 1.0ms (16.9% of total)
ival-neg: 1.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
5.9MiB live, 5.9MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
n
(+ f n)
(+ f n)
(+ f n)
(* -1 n)
(- f n)
(- f n)
(- f n)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
f
(+ f n)
(+ f n)
(+ f n)
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Calls

6 calls:

TimeVariablePointExpression
1.0ms
f
@inf
((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n))
1.0ms
n
@inf
((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n))
1.0ms
f
@-inf
((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n))
1.0ms
f
@0
((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n))
1.0ms
n
@0
((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n))

simplify470.0ms (7.3%)

Memory
-34.6MiB live, 228.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145539
1448504
21333469
35177459
08642432
Stop Event
iter limit
node limit
Counts
96 → 87
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
n
(+ f n)
(+ f n)
(+ f n)
(* -1 n)
(- f n)
(- f n)
(- f n)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
f
(+ f n)
(+ f n)
(+ f n)
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 (/.f64 n f) n n)) f)) f) #s(literal 1 binary64))
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
f
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* -1 f)
(neg.f64 f)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
n
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* -1 n)
(neg.f64 n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)

rewrite156.0ms (2.4%)

Memory
5.8MiB live, 160.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0618
01018
14618
232717
0553017
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 572
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)
Outputs
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 n f)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 n f))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 n f))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) #s(literal 1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 n f) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (+.f64 n f) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 n f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (+.f64 n f) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (neg.f64 (+.f64 n f))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 n f)))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (pow.f64 (-.f64 n f) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 n f))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 n f)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal -1 binary64))
(*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64))
(*.f64 (neg.f64 (+.f64 n f)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (+.f64 n f) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (+.f64 n f))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (fma.f64 (-.f64 n f) n (*.f64 f f)))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f))))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (fma.f64 (-.f64 n f) n (*.f64 f f)))
(/.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f))
(/.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f))))
(/.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (-.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 n f) n) #s(literal 2 binary64)))) (-.f64 (*.f64 f (-.f64 f n)) (*.f64 n n)))
(/.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 n f) n) #s(literal 3 binary64)) (pow.f64 f #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 n f) n) (-.f64 (*.f64 (+.f64 n f) n) (*.f64 f f)) (pow.f64 f #s(literal 4 binary64))))
(/.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)))) (+.f64 n f))
(/.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 3 binary64)))) (pow.f64 (+.f64 n f) #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 f n))
(/.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (fma.f64 (-.f64 n f) n (*.f64 f f)))
(/.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f))))
(/.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (-.f64 f n))
(/.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 n f) #s(literal -1 binary64)))
(/.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (-.f64 n f) n (*.f64 f f)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)))) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))
(/.f64 (/.f64 (neg.f64 (+.f64 n f)) #s(literal 1 binary64)) (-.f64 f n))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))))
(/.f64 (/.f64 (neg.f64 (+.f64 n f)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (fma.f64 (-.f64 n f) n (*.f64 f f)))
(/.f64 (/.f64 (+.f64 n f) #s(literal -1 binary64)) (-.f64 f n))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (*.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 n f)))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)))))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 f n)))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 n f) n) #s(literal 2 binary64)))) (*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (*.f64 f (-.f64 f n)) (*.f64 n n))))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 (pow.f64 (*.f64 (+.f64 n f) n) #s(literal 3 binary64)) (pow.f64 f #s(literal 6 binary64)))) (*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 n f) n) (-.f64 (*.f64 (+.f64 n f) n) (*.f64 f f)) (pow.f64 f #s(literal 4 binary64)))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 3 binary64)))) (*.f64 (-.f64 n f) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (-.f64 n f) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)))) (fma.f64 (neg.f64 n) n (*.f64 f f)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 3 binary64)))) (*.f64 (-.f64 f n) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 n f) (-.f64 n f)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)) (-.f64 n f)))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) #s(literal -1 binary64)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal -1 binary64)) (*.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) (-.f64 n f)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)) (-.f64 f n)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f))) (-.f64 n f)))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) (-.f64 f n)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (pow.f64 (-.f64 f n) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) (-.f64 f n)))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (-.f64 f n) (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)))))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (neg.f64 (fma.f64 (-.f64 n f) n (*.f64 f f))) (-.f64 f n)))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) (-.f64 n f)))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64)) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64)) (pow.f64 (-.f64 f n) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal 1 binary64)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal 1 binary64)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (pow.f64 (-.f64 f n) #s(literal 2 binary64))) (*.f64 (-.f64 f n) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (*.f64 (-.f64 f n) (pow.f64 (-.f64 f n) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 n f))) (-.f64 f n)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 n f))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) (-.f64 f n))) (*.f64 (-.f64 f n) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (-.f64 f n) (*.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) (-.f64 f n))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 n f)) (*.f64 (-.f64 f n) (neg.f64 (+.f64 n f)))) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 f n)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (-.f64 f n) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (neg.f64 (+.f64 n f))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))
(/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (pow.f64 (+.f64 n f) #s(literal -1 binary64)))
(/.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (fma.f64 (neg.f64 n) n (*.f64 f f)))
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(fma.f64 (*.f64 f f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (*.f64 (-.f64 n f) n) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(fma.f64 (*.f64 f f) (pow.f64 (+.f64 n f) #s(literal -1 binary64)) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f)))))
(fma.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(fma.f64 n #s(literal -1 binary64) f)
(fma.f64 f (/.f64 (*.f64 f f) (fma.f64 (+.f64 n f) n (*.f64 f f))) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(fma.f64 f (/.f64 f (+.f64 n f)) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f)))))
(fma.f64 f #s(literal 1 binary64) (*.f64 (neg.f64 n) #s(literal 1 binary64)))
(-.f64 (+.f64 f #s(literal 0 binary64)) n)
(-.f64 (/.f64 (*.f64 f (/.f64 f (+.f64 n f))) #s(literal 1 binary64)) (/.f64 (*.f64 n (/.f64 n (+.f64 n f))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)))
(-.f64 (/.f64 f #s(literal 1 binary64)) (/.f64 n #s(literal 1 binary64)))
(-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f))))
(-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(-.f64 #s(literal 0 binary64) (-.f64 n f))
(-.f64 f n)
(+.f64 (*.f64 (*.f64 (-.f64 n f) n) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 f f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 (-.f64 n f) n) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (neg.f64 n) #s(literal 1 binary64)) (*.f64 f #s(literal 1 binary64)))
(+.f64 (*.f64 f #s(literal 1 binary64)) (*.f64 (neg.f64 n) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (-.f64 n f) n)) (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)) (*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (-.f64 n f) n)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) f)
(+.f64 (*.f64 f (/.f64 f (+.f64 n f))) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f)))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(+.f64 (neg.f64 n) f)
(+.f64 f (*.f64 #s(literal 1 binary64) (neg.f64 n)))
(+.f64 f (neg.f64 n))

eval124.0ms (1.9%)

Memory
4.9MiB live, 161.4MiB allocated
Compiler

Compiled 14 457 to 1 678 computations (88.4% saved)

prune18.0ms (0.3%)

Memory
19.4MiB live, 56.4MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New64811659
Fresh000
Picked101
Done000
Total64911660
Accuracy
100.0%
Counts
660 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
28.3%
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (*.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 n f)))) (-.f64 f n))
54.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
46.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
100.0%
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)))
100.0%
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
45.6%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64)))
54.4%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
53.1%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
45.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 320 to 200 computations (37.5% saved)

simplify232.0ms (3.6%)

Memory
-15.3MiB live, 108.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 n f)
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 (-.f64 n f) (+.f64 n f))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
cost-diff0
(/.f64 #s(literal 2 binary64) n)
cost-diff0
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
cost-diff0
(-.f64 f n)
cost-diff0
(neg.f64 f)
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 f))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
cost-diff0
(/.f64 f (-.f64 f n))
cost-diff0
(*.f64 f (/.f64 f (-.f64 f n)))
cost-diff0
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f))
cost-diff3328
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)))
Iterations

Useful iterations: 7 (0.0ms)

IterNodesCost
028166
045180
182180
2147178
3292178
4768178
52514166
63620166
74533146
85113146
95261146
105305146
115440146
125525146
136317146
146856146
157053146
167479146
177779146
08024146
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)))
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f))
(*.f64 f (/.f64 f (-.f64 f n)))
f
(/.f64 f (-.f64 f n))
(-.f64 f n)
n
(-.f64 n f)
(/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))
(*.f64 n (/.f64 n (-.f64 f n)))
(/.f64 n (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
n
f
(+.f64 n f)
Outputs
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f))
(*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n)))
(*.f64 f (/.f64 f (-.f64 f n)))
(*.f64 (/.f64 f (-.f64 f n)) f)
f
(/.f64 f (-.f64 f n))
(-.f64 f n)
n
(-.f64 n f)
(/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))
(*.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 f n)))
(*.f64 n (/.f64 n (-.f64 f n)))
(*.f64 (/.f64 n (-.f64 f n)) n)
(/.f64 n (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
n
f
(+.f64 n f)

localize64.0ms (1%)

Memory
-2.1MiB live, 106.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 n f)
accuracy0
(+.f64 n f)
accuracy0.025722509768442016
(/.f64 (-.f64 n f) (+.f64 n f))
accuracy0.03125
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
accuracy0
(/.f64 #s(literal 2 binary64) n)
accuracy0.109375
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
accuracy29.18880290496229
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
accuracy0
(-.f64 f n)
accuracy0
(neg.f64 f)
accuracy0.03191376953688403
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy34.20146418097552
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy34.90807494610556
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0.0625
(*.f64 n (/.f64 n (-.f64 f n)))
accuracy0.1015625
(*.f64 f (/.f64 f (-.f64 f n)))
accuracy0.9580099631602464
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f))
accuracy1.486816772800537
(/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))
Samples
42.0ms256×0valid
Compiler

Compiled 320 to 54 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 12.0ms (45.3% of total)
ival-mult: 5.0ms (18.9% of total)
ival-sub: 4.0ms (15.1% of total)
ival-add: 3.0ms (11.3% of total)
ival-neg: 2.0ms (7.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series66.0ms (1%)

Memory
0.3MiB live, 52.7MiB allocated
Counts
18 → 408
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)))
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f))
(*.f64 f (/.f64 f (-.f64 f n)))
(/.f64 f (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
(+.f64 n f)
(/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))
(*.f64 n (/.f64 n (-.f64 f n)))
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 (/ (pow f 2) (pow n 2)))
(* (pow f 2) (- (* -2 (/ f (pow n 3))) (/ 1 (pow n 2))))
(* (pow f 2) (- (* f (- (* -3 (/ f (pow n 4))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2))))
(* (pow f 2) (- (* f (- (* f (- (* -4 (/ f (pow n 5))) (* 3 (/ 1 (pow n 4))))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2))))
(* -1 (/ (pow f 2) n))
(* (pow f 2) (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* (pow f 2) (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* (pow f 2) (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 n)
(- f n)
(- f n)
(- f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
1
(+ 1 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
n
(+ f n)
(+ f n)
(+ f n)
-1
(- (* -2 (/ f n)) 1)
(- (* f (- (* -3 (/ f (pow n 2))) (* 2 (/ 1 n)))) 1)
(- (* f (- (* f (- (* -4 (/ f (pow n 3))) (* 3 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))) 1)
(* -1 n)
(+ (* -1 f) (* -1 n))
(+ (* -1 n) (* f (- (* -1 (/ f n)) 1)))
(+ (* -1 n) (* f (- (* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) 1)))
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -2 (pow n 2)) (* 4 (pow n 2))) (pow f 2))) (+ 1 (* 2 (/ n f))))
(- (* 2 (/ (pow n 3) (pow f 3))) (+ 1 (+ (* -2 (/ (pow n 2) (pow f 2))) (+ (* -2 (/ (pow n 3) (pow f 3))) (+ (* 2 (/ n f)) (+ (* 2 (/ (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) (pow f 3))) (* 4 (/ (pow n 2) (pow f 2)))))))))
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -1 (pow n 2)) (* 4 (pow n 2))) (pow f 2))) (+ 1 (* 2 (/ n f))))
(- (* -1 (/ (+ (* -2 (pow n 3)) (* 2 (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))))) (pow f 3))) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
f
(* f (+ 1 (/ n f)))
(* f (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))))
(* f (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2))))))
1
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (/ n f) (+ 1 (* -1 (/ n f))))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
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f
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1
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f
(* -1 (* f (- (/ n f) 1)))
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(* 2 (/ f n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
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-1
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(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
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(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
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(* -1 f)
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(* -1 (* f (+ 1 (* -1 (/ n f)))))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
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(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow n 4)) (pow n 4)) f)) (* 2 (pow n 3))) f)) (* -1 (pow n 2))) (pow f 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow n 4)) (+ (* -1 (/ (+ (* -2 (* n (+ (* -4 (pow n 4)) (pow n 4)))) (* -2 (pow n 5))) f)) (pow n 4))) f)) (* 2 (pow n 3))) f)) (* -1 (pow n 2))) (pow f 2))
(/ (pow n 2) f)
(* -1 (/ (+ (* -1 (/ (pow n 3) f)) (* -1 (pow n 2))) f))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow n 5) f)) (* -1 (pow n 4))) f)) (pow n 3)) f)) (* -1 (pow n 2))) f))
-1
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(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
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(- (* n (- (* n (- (* -4 (/ n (pow f 3))) (* 3 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
f
(+ f n)
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1
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(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
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(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
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(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
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(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
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(* -1 f)
(- n f)
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1
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(- (+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ (pow f 3) (pow n 3))) (+ (* 2 (/ f n)) (+ (* 2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) (pow n 3))) (* 4 (/ (pow f 2) (pow n 2)))))))) (* 2 (/ (pow f 3) (pow n 3))))
(* -1 (/ (pow f 2) (pow n 2)))
(/ (+ (* -2 (/ (pow f 3) n)) (* -1 (pow f 2))) (pow n 2))
(/ (- (+ (* -1 (/ (+ (* -1 (pow f 4)) (* 4 (pow f 4))) (pow n 2))) (* -1 (pow f 2))) (* 2 (/ (pow f 3) n))) (pow n 2))
(/ (- (+ (* -1 (/ (+ (* -2 (pow f 5)) (* 2 (* f (+ (* -1 (pow f 4)) (* 4 (pow f 4)))))) (pow n 3))) (* -1 (pow f 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (+ (* 2 (/ (pow f 3) n)) (* 4 (/ (pow f 4) (pow n 2)))))) (pow n 2))
(* -1 (/ (pow f 2) n))
(/ (+ (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)
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(/ (- (+ (* -1 (/ (pow f 5) (pow n 3))) (* -1 (pow f 2))) (+ (/ (pow f 3) n) (/ (pow f 4) (pow n 2)))) n)
(* -1 (/ f n))
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(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
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(* -1 n)
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(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
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(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
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(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (* -1 (/ f n))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
-1
(- (* -2 (/ f n)) 1)
(- (* -1 (/ (+ (* -1 (pow f 2)) (* 4 (pow f 2))) (pow n 2))) (+ 1 (* 2 (/ f n))))
(- (* -1 (/ (+ (* -2 (pow f 3)) (* 2 (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))))) (pow n 3))) (+ 1 (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (* 4 (/ (pow f 2) (pow n 2)))))))
(* -1 n)
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(* n (- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (/ f n))))
(* n (- (* -1 (/ (pow f 3) (pow n 3))) (+ 1 (+ (/ f n) (/ (pow f 2) (pow n 2))))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow f 3)) (+ (* -2 (* f (+ (* -4 (pow f 2)) (pow f 2)))) (* -2 (pow f 3)))) n)) (* -1 (pow f 2))) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(* -1 (/ (pow f 2) (pow n 2)))
(/ (+ (* -2 (/ (pow f 3) n)) (* -1 (pow f 2))) (pow n 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (pow f 4)) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (+ (* -1 (/ (+ (* -2 (* f (+ (* -4 (pow f 4)) (pow f 4)))) (* -2 (pow f 5))) n)) (pow f 4))) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2))
(* -1 (/ (pow f 2) n))
(* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow f 4) n)) (pow f 3)) n)) (pow f 2)) n))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow f 5) n) (* -1 (pow f 4))) n)) (pow f 3)) n)) (pow f 2)) n))
(* -1 (/ f n))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(- (+ 1 (* -1 (/ f n))) (/ f n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
-1
(- (* -2 (/ f n)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n))) (* -2 f)) n)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* 2 (/ (pow f 3) n))) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* -2 f)) n)) 1)
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))))
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))))
Calls

6 calls:

TimeVariablePointExpression
46.0ms
n
@inf
((- (/ (* f (/ f (- f n))) (- n f)) (/ (* n (/ n (- f n))) (- n f))) (/ (* f (/ f (- f n))) (- n f)) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (+ n f) (/ (* n (/ n (- f n))) (- n f)) (* n (/ n (- f n))))
4.0ms
n
@-inf
((- (/ (* f (/ f (- f n))) (- n f)) (/ (* n (/ n (- f n))) (- n f))) (/ (* f (/ f (- f n))) (- n f)) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (+ n f) (/ (* n (/ n (- f n))) (- n f)) (* n (/ n (- f n))))
4.0ms
f
@-inf
((- (/ (* f (/ f (- f n))) (- n f)) (/ (* n (/ n (- f n))) (- n f))) (/ (* f (/ f (- f n))) (- n f)) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (+ n f) (/ (* n (/ n (- f n))) (- n f)) (* n (/ n (- f n))))
3.0ms
f
@inf
((- (/ (* f (/ f (- f n))) (- n f)) (/ (* n (/ n (- f n))) (- n f))) (/ (* f (/ f (- f n))) (- n f)) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (+ n f) (/ (* n (/ n (- f n))) (- n f)) (* n (/ n (- f n))))
3.0ms
n
@0
((- (/ (* f (/ f (- f n))) (- n f)) (/ (* n (/ n (- f n))) (- n f))) (/ (* f (/ f (- f n))) (- n f)) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (+ n f) (/ (* n (/ n (- f n))) (- n f)) (* n (/ n (- f n))))

simplify206.0ms (3.2%)

Memory
5.6MiB live, 165.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08044673
125864275
084433930
Stop Event
iter limit
node limit
Counts
408 → 393
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 (/ (pow f 2) (pow n 2)))
(* (pow f 2) (- (* -2 (/ f (pow n 3))) (/ 1 (pow n 2))))
(* (pow f 2) (- (* f (- (* -3 (/ f (pow n 4))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2))))
(* (pow f 2) (- (* f (- (* f (- (* -4 (/ f (pow n 5))) (* 3 (/ 1 (pow n 4))))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2))))
(* -1 (/ (pow f 2) n))
(* (pow f 2) (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* (pow f 2) (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* (pow f 2) (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 n)
(- f n)
(- f n)
(- f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
1
(+ 1 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
n
(+ f n)
(+ f n)
(+ f n)
-1
(- (* -2 (/ f n)) 1)
(- (* f (- (* -3 (/ f (pow n 2))) (* 2 (/ 1 n)))) 1)
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(/ (pow n 2) f)
(* -1 (/ (+ (* -1 (/ (pow n 3) f)) (* -1 (pow n 2))) f))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow n 5) f)) (* -1 (pow n 4))) f)) (pow n 3)) f)) (* -1 (pow n 2))) f))
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-1
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(- (* n (- (* -3 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -4 (/ n (pow f 3))) (* 3 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
f
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1
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(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
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(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
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(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
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(/ (+ n (* 2 f)) n)
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(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
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(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
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(* (pow n 2) (- (* n (- (* n (- (* -4 (/ n (pow f 5))) (* 3 (/ 1 (pow f 4))))) (* 2 (/ 1 (pow f 3))))) (/ 1 (pow f 2))))
(/ (pow n 2) f)
(* (pow n 2) (+ (/ 1 f) (/ n (pow f 2))))
(* (pow n 2) (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f)))
(* (pow n 2) (+ (* n (+ (* n (+ (/ 1 (pow f 3)) (/ n (pow f 4)))) (/ 1 (pow f 2)))) (/ 1 f)))
1
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(* -1 (/ (pow f 2) (pow n 2)))
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(/ (- (+ (* -1 (/ (+ (* -2 (pow f 5)) (* 2 (* f (+ (* -1 (pow f 4)) (* 4 (pow f 4)))))) (pow n 3))) (* -1 (pow f 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (+ (* 2 (/ (pow f 3) n)) (* 4 (/ (pow f 4) (pow n 2)))))) (pow n 2))
(* -1 (/ (pow f 2) n))
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(/ (- (+ (* -1 (/ (pow f 5) (pow n 3))) (* -1 (pow f 2))) (+ (/ (pow f 3) n) (/ (pow f 4) (pow n 2)))) n)
(* -1 (/ f n))
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(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
1
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1
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1
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(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (* -1 (/ f n))) (/ f n))
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(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
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(- (* -1 (/ (+ (* -1 (pow f 2)) (* 4 (pow f 2))) (pow n 2))) (+ 1 (* 2 (/ f n))))
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1
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(* -1 (/ (pow f 2) (pow n 2)))
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(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (+ (* -1 (/ (+ (* -2 (* f (+ (* -4 (pow f 4)) (pow f 4)))) (* -2 (pow f 5))) n)) (pow f 4))) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2))
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1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
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(* -1 n)
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(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
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(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
1
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(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(- (+ 1 (* -1 (/ f n))) (/ f n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
-1
(- (* -2 (/ f n)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n))) (* -2 f)) n)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* 2 (/ (pow f 3) n))) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* -2 f)) n)) 1)
(* -1 n)
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(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))))
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Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (/ (pow f 2) (pow n 2)))
(/.f64 (*.f64 (neg.f64 f) f) (*.f64 n n))
(* (pow f 2) (- (* -2 (/ f (pow n 3))) (/ 1 (pow n 2))))
(*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 n n))) (*.f64 f f))
(* (pow f 2) (- (* f (- (* -3 (/ f (pow n 4))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2))))
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(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 f n)) f (*.f64 #s(literal 2 binary64) f)) n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) f) f (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal 2 binary64))) n)) n))
n
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(neg.f64 (neg.f64 (fma.f64 (/.f64 f n) n n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(neg.f64 (neg.f64 (fma.f64 (/.f64 f n) n n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(neg.f64 (neg.f64 (fma.f64 (/.f64 f n) n n)))
-1
#s(literal -1 binary64)
(- (* -2 (/ f n)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n))) (* -2 f)) n)) 1)
(fma.f64 (/.f64 (fma.f64 (*.f64 f (/.f64 f n)) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) f)) n) #s(literal -1 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* 2 (/ (pow f 3) n))) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* -2 f)) n)) 1)
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 f f) (fma.f64 (/.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 3 binary64)) n) #s(literal -2 binary64) (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal 2 binary64)))) (neg.f64 n))) n) #s(literal -1 binary64) #s(literal -1 binary64))
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))))
(neg.f64 (fma.f64 (/.f64 (fma.f64 f (/.f64 f n) f) n) n n))
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))))
(neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) n) f) n) n n))

rewrite287.0ms (4.5%)

Memory
-18.6MiB live, 296.8MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028143
045149
1192125
21664125
08720125
Stop Event
iter limit
node limit
iter limit
Counts
18 → 1 011
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)))
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f))
(*.f64 f (/.f64 f (-.f64 f n)))
(/.f64 f (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
(+.f64 n f)
(/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f))
(*.f64 n (/.f64 n (-.f64 f n)))
Outputs
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (*.f64 (+.f64 n f) (-.f64 f n))) #s(literal -1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 n n (*.f64 f (-.f64 f n))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 n f)) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 n f)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 n f)) #s(literal -1 binary64)) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f))
(*.f64 (pow.f64 (+.f64 n f) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 2 binary64))) (pow.f64 (-.f64 n f) #s(literal 2 binary64))) (pow.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (pow.f64 (+.f64 n f) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 n f))
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64))
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 3 binary64))) (pow.f64 (-.f64 n f) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 n (-.f64 f n)) (/.f64 n (-.f64 n f))) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n))) (pow.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 (*.f64 f f) (-.f64 n f)) (*.f64 (-.f64 n f) (*.f64 n n))) (-.f64 f n)) (pow.f64 (-.f64 n f) #s(literal -2 binary64)))
(*.f64 (+.f64 n f) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))))
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f)))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (-.f64 n f) (+.f64 n f)) (/.f64 (-.f64 n f) (+.f64 n f))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 2 binary64))) (pow.f64 (-.f64 n f) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 n (-.f64 f n)) (/.f64 n (-.f64 n f))) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n))) (pow.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 3 binary64))) (pow.f64 (-.f64 n f) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 f f) (-.f64 n f)) (*.f64 (-.f64 n f) (*.f64 n n))) (-.f64 f n))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64)))) (*.f64 (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (-.f64 (*.f64 (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64)))) (*.f64 (*.f64 f (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f)) (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) (-.f64 (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n)) (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))) #s(literal -3 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) #s(literal -2 binary64)) (*.f64 (/.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))) (-.f64 n f)) (*.f64 (/.f64 f (-.f64 f n)) (/.f64 f (-.f64 n f)))))))
(/.f64 (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 f f) (-.f64 n f)) (*.f64 (-.f64 n f) (*.f64 n n))) (-.f64 f n)) (-.f64 n f))) (neg.f64 (-.f64 n f)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (*.f64 (+.f64 n f) (-.f64 n f)))) (neg.f64 (-.f64 n f)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (*.f64 (+.f64 n f) (-.f64 f n)))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (fma.f64 n n (*.f64 f (-.f64 f n)))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 2 binary64))) (pow.f64 (-.f64 n f) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 3 binary64))) (pow.f64 (-.f64 n f) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 n (-.f64 f n)) (/.f64 n (-.f64 n f))) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n))) (pow.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 f f) (-.f64 n f)) (*.f64 (-.f64 n f) (*.f64 n n))) (-.f64 f n)))) (neg.f64 (neg.f64 (pow.f64 (-.f64 n f) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f)))) (neg.f64 (pow.f64 (-.f64 n f) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 f n)))) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 n f) (fma.f64 n n (*.f64 f (-.f64 f n))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (*.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (*.f64 f f)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 f) (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 n f))) (*.f64 (neg.f64 (-.f64 n f)) (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n)))))) (neg.f64 (pow.f64 (-.f64 n f) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 f) (/.f64 f (-.f64 f n))) (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n)))) (*.f64 (neg.f64 (-.f64 n f)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 (-.f64 n f)) (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (neg.f64 f) (/.f64 f (-.f64 f n))) (-.f64 n f)) (*.f64 (neg.f64 (-.f64 n f)) (*.f64 (/.f64 n (-.f64 f n)) n)))) (neg.f64 (*.f64 (neg.f64 (-.f64 n f)) (-.f64 n f))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 n f))) (*.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n)))))) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 n f)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n)))) (*.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) (*.f64 (/.f64 n (-.f64 f n)) n)))) (neg.f64 (*.f64 (/.f64 (/.f64 (-.f64 n f) f) (/.f64 f (-.f64 f n))) (-.f64 n f))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (/.f64 f (-.f64 f n)) f) (neg.f64 (-.f64 n f))) (*.f64 (-.f64 n f) (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n)))))) (neg.f64 (*.f64 (-.f64 n f) (neg.f64 (-.f64 n f)))))
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(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) n)) (*.f64 (/.f64 (-.f64 f n) (*.f64 f f)) n)) (*.f64 (/.f64 (-.f64 f n) (*.f64 f f)) (/.f64 (-.f64 f n) n)))
(/.f64 (-.f64 (*.f64 f (/.f64 (-.f64 f n) n)) (*.f64 (/.f64 (-.f64 f n) f) (*.f64 #s(literal 1 binary64) n))) (*.f64 (/.f64 (-.f64 f n) f) (/.f64 (-.f64 f n) n)))
(/.f64 (-.f64 (*.f64 f (neg.f64 (-.f64 f n))) (*.f64 (/.f64 (-.f64 f n) f) (*.f64 n (neg.f64 n)))) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 (-.f64 f n))))
(/.f64 (-.f64 (*.f64 f (/.f64 (-.f64 f n) n)) (*.f64 (/.f64 (-.f64 f n) f) (*.f64 n #s(literal 1 binary64)))) (*.f64 (/.f64 (-.f64 f n) f) (/.f64 (-.f64 f n) n)))
(/.f64 (-.f64 (*.f64 f (neg.f64 (-.f64 f n))) (*.f64 (/.f64 (-.f64 f n) f) (*.f64 (neg.f64 n) n))) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 (-.f64 f n))))
(/.f64 (-.f64 (*.f64 f (neg.f64 (-.f64 f n))) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 (*.f64 n n)))) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 (-.f64 f n))))
(/.f64 (-.f64 (*.f64 f (-.f64 f n)) (*.f64 (/.f64 (-.f64 f n) f) (*.f64 n n))) (*.f64 (/.f64 (-.f64 f n) f) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 f (/.f64 (-.f64 f n) (*.f64 n n))) (*.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 f n) f) (/.f64 (-.f64 f n) (*.f64 n n))))
(/.f64 (-.f64 (*.f64 f (/.f64 (-.f64 f n) n)) (*.f64 (/.f64 (-.f64 f n) f) n)) (*.f64 (/.f64 (-.f64 f n) f) (/.f64 (-.f64 f n) n)))
(/.f64 (-.f64 (*.f64 f (neg.f64 f)) (*.f64 n (neg.f64 n))) (neg.f64 (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (neg.f64 f) f) (*.f64 n (neg.f64 n))) (neg.f64 (-.f64 f n)))
(/.f64 (-.f64 (neg.f64 (*.f64 f f)) (*.f64 n (neg.f64 n))) (neg.f64 (-.f64 f n)))
(/.f64 (-.f64 (*.f64 f (neg.f64 f)) (*.f64 (neg.f64 n) n)) (neg.f64 (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (neg.f64 f) f) (*.f64 (neg.f64 n) n)) (neg.f64 (-.f64 f n)))
(/.f64 (-.f64 (neg.f64 (*.f64 f f)) (*.f64 (neg.f64 n) n)) (neg.f64 (-.f64 f n)))
(/.f64 (-.f64 (*.f64 f (neg.f64 f)) (neg.f64 (*.f64 n n))) (neg.f64 (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (neg.f64 f) f) (neg.f64 (*.f64 n n))) (neg.f64 (-.f64 f n)))
(/.f64 (-.f64 (neg.f64 (*.f64 f f)) (neg.f64 (*.f64 n n))) (neg.f64 (-.f64 f n)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 2 binary64))) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 f (-.f64 f n)) f) (*.f64 (/.f64 n (-.f64 f n)) n)))))
(/.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 n f))) (neg.f64 (-.f64 n f)))
(/.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 f n))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 n n (*.f64 f (-.f64 f n)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (-.f64 (*.f64 (*.f64 f f) (-.f64 f n)) (*.f64 (-.f64 f n) (*.f64 n n))) (pow.f64 (-.f64 f n) #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 n f))
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (*.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (*.f64 (+.f64 n f) (-.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n n (*.f64 f (-.f64 f n))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 n f) (*.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) (*.f64 (+.f64 n f) (-.f64 f n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 n n (*.f64 f (-.f64 f n))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(neg.f64 (neg.f64 (+.f64 n f)))
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f) (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))))
(fma.f64 (/.f64 (*.f64 f f) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (+.f64 n f) (*.f64 f f)) (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))))
(fma.f64 (*.f64 f f) (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))))
(fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))))
(fma.f64 f (/.f64 f (-.f64 f n)) (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 2 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n))) (/.f64 (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 2 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n))))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 f (-.f64 f n)) f) (*.f64 (/.f64 n (-.f64 f n)) n))))) (/.f64 (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 f (-.f64 f n)) f) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 f (-.f64 f n)) f) (*.f64 (/.f64 n (-.f64 f n)) n))))))
(-.f64 (/.f64 (*.f64 (*.f64 f f) (-.f64 f n)) (pow.f64 (-.f64 f n) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 f n) (*.f64 n n)) (pow.f64 (-.f64 f n) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (/.f64 (*.f64 f f) (-.f64 n f)))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 n f)))
(-.f64 (*.f64 (/.f64 f (-.f64 f n)) f) (*.f64 (/.f64 n (-.f64 f n)) n))
(+.f64 (neg.f64 (neg.f64 f)) (neg.f64 (neg.f64 n)))
(+.f64 (*.f64 (/.f64 f (-.f64 f n)) f) (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))))
(+.f64 n f)
(+.f64 f n)
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 n (-.f64 f n)) n) (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f))
(*.f64 (/.f64 (*.f64 (/.f64 n (-.f64 f n)) n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 (/.f64 n (-.f64 f n)) (-.f64 n f)) n)
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (*.f64 (/.f64 n (-.f64 f n)) n))
(*.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))) (pow.f64 (neg.f64 (-.f64 n f)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (-.f64 f n)) (/.f64 n (-.f64 n f))))
(*.f64 (*.f64 (/.f64 n (-.f64 f n)) n) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 n (-.f64 f n)) (/.f64 n (-.f64 n f)))
(*.f64 (/.f64 n (-.f64 f n)) (*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64))))
(*.f64 n (/.f64 (/.f64 n (-.f64 f n)) (-.f64 n f)))
(pow.f64 (/.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 n n) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 n f)))))
(/.f64 (neg.f64 (*.f64 (*.f64 n n) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 f n) (-.f64 n f))))
(/.f64 (neg.f64 (*.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 1 binary64))) (neg.f64 (-.f64 n f)))
(/.f64 (*.f64 (*.f64 n n) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (-.f64 f n))
(/.f64 (neg.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n)))) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 (neg.f64 (*.f64 n n)) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
(/.f64 (*.f64 (*.f64 n n) #s(literal 1 binary64)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 (*.f64 (/.f64 n (-.f64 f n)) n) #s(literal 1 binary64)) (-.f64 n f))
(/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 n f)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n)))))
(/.f64 (*.f64 (/.f64 n (-.f64 f n)) n) (-.f64 n f))
(neg.f64 (/.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))) (-.f64 n f)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) (/.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))) (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (-.f64 n f) n) (/.f64 n (-.f64 f n)))) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 n n) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f))
(*.f64 (/.f64 (*.f64 n n) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(*.f64 (*.f64 n n) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 n (-.f64 f n)) n)
(*.f64 n (/.f64 n (-.f64 f n)))
(pow.f64 (/.f64 (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) n)) (neg.f64 (/.f64 (-.f64 f n) n)))
(/.f64 (neg.f64 (*.f64 n (neg.f64 n))) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 (*.f64 (neg.f64 n) n)) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 (neg.f64 (*.f64 n n))) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 (/.f64 (-.f64 f n) n)))
(/.f64 (*.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 f n) n))
(/.f64 (*.f64 n (neg.f64 n)) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 (-.f64 f n) n))
(/.f64 (*.f64 (neg.f64 n) n) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (*.f64 n n)) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 n n) (-.f64 f n))
(/.f64 (neg.f64 n) (neg.f64 (/.f64 (-.f64 f n) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (*.f64 n n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) (*.f64 n n))))
(/.f64 n (/.f64 (-.f64 f n) n))

eval276.0ms (4.3%)

Memory
33.7MiB live, 498.6MiB allocated
Compiler

Compiled 48 147 to 3 951 computations (91.8% saved)

prune48.0ms (0.7%)

Memory
5.2MiB live, 122.2MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 61641 620
Fresh426
Picked145
Done000
Total1 621101 631
Accuracy
100.0%
Counts
1 631 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
87.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
90.0%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n))
54.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
46.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
90.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))))
54.4%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
53.1%
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
45.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 213 to 148 computations (30.5% saved)

simplify92.0ms (1.4%)

Memory
7.0MiB live, 88.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 (fma.f64 (/.f64 n f) f f))
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f)))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
cost-diff896
(fma.f64 (/.f64 n f) f f)
cost-diff0
(neg.f64 (fma.f64 (/.f64 f n) n n))
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n)))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n))
cost-diff896
(fma.f64 (/.f64 f n) n n)
cost-diff0
(-.f64 f n)
cost-diff0
(neg.f64 n)
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 n))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
cost-diff0
#s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
cost-diff0
(-.f64 n f)
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 (+.f64 n f) (-.f64 n f))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030166
046160
185160
2178141
3370141
41061141
54613141
08221139
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
#s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n)))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(fma.f64 (/.f64 f n) n n)
(/.f64 f n)
f
n
(-.f64 f n)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f)))
(neg.f64 (fma.f64 (/.f64 n f) f f))
(fma.f64 (/.f64 n f) f f)
(/.f64 n f)
n
f
(-.f64 f n)
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 n f)
(+.f64 f n)
n
f
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
#s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n)))
#s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(-.f64 (neg.f64 n) f)
(fma.f64 (/.f64 f n) n n)
(+.f64 f n)
(/.f64 f n)
f
n
(-.f64 f n)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f)))
#s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f))
(neg.f64 (fma.f64 (/.f64 n f) f f))
(-.f64 (neg.f64 n) f)
(fma.f64 (/.f64 n f) f f)
(+.f64 f n)
(/.f64 n f)
n
f
(-.f64 f n)

localize76.0ms (1.2%)

Memory
-20.6MiB live, 113.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 (fma.f64 (/.f64 n f) f f))
accuracy0
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f)))
accuracy0.024101269536884032
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
accuracy7.4984987029800605
(fma.f64 (/.f64 n f) f f)
accuracy0
(neg.f64 (fma.f64 (/.f64 f n) n n))
accuracy0
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n)))
accuracy0.024101269536884032
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n))
accuracy6.162388768331215
(fma.f64 (/.f64 f n) n n)
accuracy0
(-.f64 f n)
accuracy0
(neg.f64 n)
accuracy0.024101269536884032
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy28.95992786882656
#s(approx (neg (+ f n)) (neg.f64 n))
accuracy28.745778727631194
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
accuracy29.08654796030779
#s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))
accuracy0
(-.f64 n f)
accuracy0
(+.f64 n f)
accuracy0.024101269536884032
(/.f64 (+.f64 n f) (-.f64 n f))
Samples
45.0ms254×0valid
1.0ms5exit
Compiler

Compiled 288 to 56 computations (80.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 8.0ms (29.5% of total)
ival-add: 6.0ms (22.1% of total)
ival-mult: 5.0ms (18.4% of total)
ival-neg: 4.0ms (14.8% of total)
ival-sub: 2.0ms (7.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-22.6MiB live, 15.6MiB allocated
Counts
17 → 396
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
#s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n)))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(fma.f64 (/.f64 n f) f f)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f)))
(neg.f64 (fma.f64 (/.f64 n f) f f))
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ f n)
(+ f n)
(+ f n)
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 n)
(- f n)
(- f n)
(- f n)
n
(+ f n)
(+ f n)
(+ f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
n
(+ f n)
(+ f n)
(+ f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
f
(+ f n)
(+ f n)
(+ f n)
(* -1 f)
(- n f)
(- n f)
(- n f)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* 2 (/ f n))
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
f
(+ f n)
(+ f n)
(+ f n)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
f
(+ f n)
(+ f n)
(+ f n)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
Calls

6 calls:

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

simplify144.0ms (2.2%)

Memory
31.4MiB live, 218.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02102609
16602409
220662174
358862174
081471996
Stop Event
iter limit
node limit
Counts
396 → 372
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ f n)
(+ f n)
(+ f n)
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 n)
(- f n)
(- f n)
(- f n)
n
(+ f n)
(+ f n)
(+ f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
n
(+ f n)
(+ f n)
(+ f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
f
(+ f n)
(+ f n)
(+ f n)
(* -1 f)
(- n f)
(- n f)
(- n f)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* 2 (/ f n))
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
f
(+ f n)
(+ f n)
(+ f n)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
f
(+ f n)
(+ f n)
(+ f n)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
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(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
n
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
n
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)

rewrite209.0ms (3.2%)

Memory
21.5MiB live, 173.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030145
046145
1190145
21413137
08420127
Stop Event
iter limit
node limit
iter limit
Counts
17 → 732
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
#s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n)))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(fma.f64 (/.f64 n f) f f)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f)))
(neg.f64 (fma.f64 (/.f64 n f) f f))
Outputs
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (+.f64 f n) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (+.f64 f n) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (+.f64 f n) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (+.f64 f n) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 f (-.f64 f n) (*.f64 n n))))
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(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 f) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (-.f64 (*.f64 f f) (*.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f)))) (neg.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 f (-.f64 f (*.f64 n #s(literal 1 binary64)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f))) (fma.f64 n #s(literal 1 binary64) (neg.f64 f)))
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 f (-.f64 f (*.f64 n #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f)))))
(/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 f) #s(literal 3 binary64))) (fma.f64 (*.f64 n n) #s(literal 1 binary64) (-.f64 (*.f64 f f) (*.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f))) (neg.f64 (-.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f))))
(/.f64 (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f))) (neg.f64 (neg.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f))) (fma.f64 n #s(literal 1 binary64) (neg.f64 f)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 f (-.f64 f (*.f64 n #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 f (-.f64 f (*.f64 n #s(literal 1 binary64))))))
(/.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f)) (-.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f)))
(/.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f)) (neg.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f))))
(/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 f (-.f64 f (*.f64 n #s(literal 1 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f)) (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 f (-.f64 f (*.f64 n #s(literal 1 binary64))))) (*.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f)) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f)) (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f)))) (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (-.f64 (*.f64 f f) (*.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f)))) (fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (neg.f64 f) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f)) (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 f (-.f64 f (*.f64 n #s(literal 1 binary64))))) (neg.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f))) (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 (neg.f64 f) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (*.f64 n n) #s(literal 1 binary64) (*.f64 f (-.f64 f (*.f64 n #s(literal 1 binary64)))))) (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64)))))
(neg.f64 (fma.f64 n #s(literal 1 binary64) f))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 f f) (neg.f64 f))
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 n f) (neg.f64 f))
(fma.f64 (*.f64 n #s(literal 1 binary64)) #s(literal -1 binary64) (*.f64 f #s(literal -1 binary64)))
(fma.f64 (neg.f64 (*.f64 f n)) (pow.f64 f #s(literal -1 binary64)) (neg.f64 f))
(fma.f64 (neg.f64 (/.f64 n f)) f (neg.f64 f))
(fma.f64 #s(literal -1 binary64) (*.f64 n #s(literal 1 binary64)) (neg.f64 f))
(fma.f64 #s(literal -1 binary64) f (neg.f64 (*.f64 n #s(literal 1 binary64))))
(fma.f64 (*.f64 f n) (pow.f64 (neg.f64 f) #s(literal -1 binary64)) (neg.f64 f))
(fma.f64 (neg.f64 f) (/.f64 n f) (neg.f64 f))
(fma.f64 (/.f64 n f) (neg.f64 f) (neg.f64 f))
(fma.f64 f (neg.f64 (/.f64 n f)) (neg.f64 f))
(fma.f64 f #s(literal -1 binary64) (*.f64 (*.f64 n #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f))) (/.f64 (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f))))
(-.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 1 binary64)) (-.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f))) (/.f64 (*.f64 f f) (-.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f))))) (/.f64 (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (fma.f64 n #s(literal 1 binary64) f) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f))))))
(-.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 1 binary64)) (neg.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f)))) (/.f64 (*.f64 f f) (neg.f64 (fma.f64 n #s(literal 1 binary64) (neg.f64 f)))))
(-.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) f)
(-.f64 (neg.f64 f) (*.f64 n #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 n #s(literal 1 binary64) f))
(+.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 f #s(literal -1 binary64)))
(+.f64 (*.f64 f #s(literal -1 binary64)) (*.f64 (*.f64 n #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (neg.f64 (*.f64 n #s(literal 1 binary64))) (neg.f64 f))
(+.f64 (neg.f64 f) (neg.f64 (*.f64 n #s(literal 1 binary64))))
(+.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 n #s(literal 1 binary64) f)))

eval220.0ms (3.4%)

Memory
-25.9MiB live, 256.4MiB allocated
Compiler

Compiled 29 166 to 2 721 computations (90.7% saved)

prune37.0ms (0.6%)

Memory
0.3MiB live, 77.3MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New1 26711 268
Fresh011
Picked055
Done044
Total1 267111 278
Accuracy
100.0%
Counts
1 278 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
46.3%
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
87.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
90.0%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n))
54.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
46.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
90.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))))
54.4%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
53.1%
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
45.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 139 to 98 computations (29.5% saved)

simplify213.0ms (3.3%)

Memory
29.0MiB live, 148.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(neg.f64 f)
cost-diff0
#s(approx (- n f) (neg.f64 f))
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))))
cost-diff896
(fma.f64 (/.f64 f n) n n)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01578
02481
14281
25874
38564
416664
539164
6111464
7300564
8506664
9635264
10670964
11683964
12701564
13703264
14759464
15770164
16770164
0810864
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))
(-.f64 n f)
n
f
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
(fma.f64 (/.f64 f n) n n)
(/.f64 f n)
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
(+.f64 n f)
n
f
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))))
(/.f64 #s(approx (+ n f) (+.f64 f n)) (-.f64 n f))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))
(/.f64 (-.f64 n f) #s(approx (+ n f) (+.f64 f n)))
(-.f64 n f)
n
f
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
#s(approx (+ n f) (+.f64 f n))
(fma.f64 (/.f64 f n) n n)
(+.f64 f n)
(/.f64 f n)
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
(+.f64 n f)
(+.f64 f n)
n
f
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)

localize58.0ms (0.9%)

Memory
-26.3MiB live, 94.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 n f)
accuracy0
(neg.f64 f)
accuracy0.024101269536884032
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
accuracy33.80739195331081
#s(approx (- n f) (neg.f64 f))
accuracy0
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
accuracy0.0234375
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))))
accuracy0.025722509768442016
(/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))
accuracy6.162388768331215
(fma.f64 (/.f64 f n) n n)
Samples
27.0ms254×0valid
1.0ms5exit
Compiler

Compiled 132 to 29 computations (78% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 7.0ms (37.2% of total)
ival-neg: 5.0ms (26.6% of total)
ival-mult: 2.0ms (10.6% of total)
ival-sub: 2.0ms (10.6% of total)
ival-add: 2.0ms (10.6% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
9 → 204
Calls
Call 1
Inputs
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))))
(/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))
(-.f64 n f)
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
(+.f64 n f)
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
Outputs
n
(+ f n)
(+ f n)
(+ f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
1
(+ 1 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ f n)
(+ f n)
(+ f n)
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (/ n f) (+ 1 (* -1 (/ n f))))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
-1
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
-1
(- (* 2 (/ n f)) 1)
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
(- n f)
(- n f)
(- n f)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
f
(+ f n)
(+ f n)
(+ f n)
(* -1 f)
(- n f)
(- n f)
(- n f)
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (* -1 (/ f n))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(- (+ 1 (* -1 (/ f n))) (/ f n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
Calls

6 calls:

TimeVariablePointExpression
0.0ms
f
@inf
((+ (* (/ f n) n) n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (+ n f))
0.0ms
f
@-inf
((+ (* (/ f n) n) n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (+ n f))
0.0ms
n
@-inf
((+ (* (/ f n) n) n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (+ n f))
0.0ms
n
@inf
((+ (* (/ f n) n) n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (+ n f))
0.0ms
f
@0
((+ (* (/ f n) n) n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (- n f) (/ (+ n f) (- n f)) (+ n f) (- n f) (neg f) (+ n f))

simplify178.0ms (2.8%)

Memory
27.7MiB live, 181.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02221327
17101209
221341112
365391112
081501021
Stop Event
iter limit
node limit
Counts
204 → 180
Calls
Call 1
Inputs
n
(+ f n)
(+ f n)
(+ f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
1
(+ 1 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ f n)
(+ f n)
(+ f n)
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (/ n f) (+ 1 (* -1 (/ n f))))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
-1
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
-1
(- (* 2 (/ n f)) 1)
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
(- n f)
(- n f)
(- n f)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
f
(+ f n)
(+ f n)
(+ f n)
(* -1 f)
(- n f)
(- n f)
(- n f)
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (* -1 (/ f n))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(- (+ 1 (* -1 (/ f n))) (/ f n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
Outputs
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ f n)))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64))
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 (*.f64 n (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) n) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f)))
-1
#s(literal -1 binary64)
(- (/ n f) (+ 1 (* -1 (/ n f))))
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(+.f64 (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 f #s(literal 3 binary64))))
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 (*.f64 n (/.f64 n (pow.f64 f #s(literal 3 binary64)))) (*.f64 #s(literal -2 binary64) n) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f)))
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (*.f64 n (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal -2 binary64)))) f)) f) #s(literal 1 binary64))
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* 2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal 2 binary64) f)) n #s(literal -1 binary64))
(* -1 f)
(neg.f64 f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(* -1 f)
(neg.f64 f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
n
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ f n))) (/ f n))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64))
n
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
n
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
n
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
n
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ f n))) (/ f n))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal 2 binary64)))) n)) n) #s(literal 1 binary64))
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)

rewrite242.0ms (3.8%)

Memory
-11.7MiB live, 148.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01570
02473
19671
264856
0898656
Stop Event
iter limit
node limit
iter limit
Counts
9 → 933
Calls
Call 1
Inputs
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))))
(/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)))
(-.f64 n f)
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
(+.f64 n f)
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
Outputs
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 f n) f) #s(literal 2 binary64)))) (-.f64 (*.f64 n n) (*.f64 (-.f64 f n) f)))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 f n) f) #s(literal 3 binary64)) (pow.f64 n #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 f n) f) (-.f64 (*.f64 (-.f64 f n) f) (*.f64 n n)) (pow.f64 n #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) f (*.f64 n n))))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 n f) n) #s(literal 2 binary64)))) (-.f64 (*.f64 f f) (*.f64 (-.f64 n f) n)))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 n f) n) #s(literal 3 binary64)) (pow.f64 f #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 n f) n) (-.f64 (*.f64 (-.f64 n f) n) (*.f64 f f)) (pow.f64 f #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (-.f64 (neg.f64 n) f))
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) f (*.f64 n n))))
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (fma.f64 (neg.f64 f) f (*.f64 n n))) (-.f64 (neg.f64 n) f))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (fma.f64 (+.f64 n f) f (*.f64 n n)))
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (/.f64 (+.f64 n f) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (-.f64 n f) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (-.f64 n f) (pow.f64 (fma.f64 (+.f64 n f) f (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f)))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 n f) f (*.f64 n n)) #s(literal 1 binary64)))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n)))
(*.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 f) f (*.f64 n n)))
(*.f64 (neg.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)))))
(*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(*.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (fma.f64 (+.f64 n f) f (*.f64 n n)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)))
(*.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (*.f64 (+.f64 n f) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (/.f64 (+.f64 n f) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 n) f))
(*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (-.f64 f n)))
(*.f64 (+.f64 n f) (*.f64 (-.f64 f n) (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(*.f64 (+.f64 n f) (*.f64 (-.f64 n f) (pow.f64 (-.f64 n f) #s(literal -1 binary64))))
(*.f64 (+.f64 n f) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 n f))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(pow.f64 (pow.f64 (+.f64 n f) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (-.f64 n f))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 4 binary64))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (fma.f64 n n (*.f64 f f)))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (fma.f64 (*.f64 f f) (fma.f64 n n (*.f64 f f)) (pow.f64 n #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 f #s(literal 9 binary64)) (pow.f64 n #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 f #s(literal 9 binary64)) (pow.f64 n #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64)) n) (-.f64 (/.f64 f n) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)) n) (-.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 f n)))
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (fma.f64 n n (*.f64 f f)))
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (fma.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)) (pow.f64 f #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (-.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 n f) f) #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 n f) n) (*.f64 f f)))
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(fma.f64 #s(literal -1 binary64) (neg.f64 n) f)
(fma.f64 #s(literal -1 binary64) (neg.f64 f) n)
(fma.f64 (neg.f64 f) (/.f64 n (neg.f64 n)) n)
(fma.f64 (neg.f64 f) (*.f64 (/.f64 #s(literal -1 binary64) n) n) n)
(fma.f64 (neg.f64 f) #s(literal -1 binary64) n)
(fma.f64 #s(literal 1 binary64) n f)
(fma.f64 #s(literal 1 binary64) f n)
(fma.f64 (/.f64 f n) (/.f64 (*.f64 n f) (-.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n)))))
(fma.f64 (/.f64 f n) n n)
(fma.f64 n (/.f64 (*.f64 (/.f64 f n) f) (-.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n)))))
(fma.f64 n (/.f64 n (-.f64 n f)) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 n #s(literal 1 binary64) f)
(fma.f64 n (/.f64 f n) n)
(fma.f64 f (/.f64 f (-.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n)))))
(fma.f64 f #s(literal 1 binary64) n)
(-.f64 (-.f64 n #s(literal 0 binary64)) (neg.f64 f))
(-.f64 (*.f64 f (/.f64 f (-.f64 f n))) (*.f64 n (/.f64 n (-.f64 f n))))
(-.f64 (*.f64 n (/.f64 n (-.f64 n f))) (*.f64 f (/.f64 f (-.f64 n f))))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 n) f))
(-.f64 n (neg.f64 f))
(+.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (*.f64 (*.f64 n f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (+.f64 n f) f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (*.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 n f) f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (fma.f64 n n (*.f64 f f))) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n f)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (+.f64 n f) f)) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n n)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n n)) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (+.f64 n f) f)))
(+.f64 (-.f64 n #s(literal 0 binary64)) f)
(+.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n)))))
(+.f64 (*.f64 n (/.f64 n (-.f64 n f))) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(+.f64 n f)
(+.f64 f n)
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- n f) (neg.f64 f))))
(*.f64 #s(approx (- n f) (neg.f64 f)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- n f) (neg.f64 f)))
#s(approx (- n f) (neg.f64 f))
(/.f64 (neg.f64 #s(approx (- n f) (neg.f64 f))) #s(literal -1 binary64))
(/.f64 #s(approx (- n f) (neg.f64 f)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- n f) (neg.f64 f)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (- n f) (neg.f64 f))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- n f) (neg.f64 f))))
(*.f64 (/.f64 (neg.f64 f) n) n)
(*.f64 (*.f64 (neg.f64 f) f) (pow.f64 f #s(literal -1 binary64)))
(*.f64 (*.f64 (neg.f64 n) f) (pow.f64 n #s(literal -1 binary64)))
(*.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 f f)))
(*.f64 (*.f64 n f) (/.f64 #s(literal -1 binary64) n))
(*.f64 (neg.f64 n) (/.f64 f n))
(*.f64 #s(literal -1 binary64) f)
(*.f64 (neg.f64 f) #s(literal 1 binary64))
(*.f64 (/.f64 f n) (neg.f64 n))
(*.f64 n (/.f64 (neg.f64 f) n))
(*.f64 f #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64))) (*.f64 (neg.f64 f) f))
(/.f64 (*.f64 (neg.f64 f) f) f)
(/.f64 (*.f64 (neg.f64 n) f) n)
(/.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 f f) (*.f64 #s(literal 0 binary64) (neg.f64 f)))))
(/.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64)) (*.f64 f f))
(/.f64 (*.f64 n f) (neg.f64 n))
(/.f64 (*.f64 f f) (neg.f64 f))
(/.f64 (neg.f64 n) (/.f64 n f))
(/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 (neg.f64 f) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (pow.f64 (neg.f64 f) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 f #s(literal -1 binary64))))
(/.f64 n (/.f64 (neg.f64 n) f))
(neg.f64 f)
(fma.f64 (/.f64 (neg.f64 f) n) n #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 f) f) (pow.f64 f #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (neg.f64 n) f) (pow.f64 n #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 f f)) #s(literal 0 binary64))
(fma.f64 (*.f64 n f) (/.f64 #s(literal -1 binary64) n) #s(literal 0 binary64))
(fma.f64 (neg.f64 n) (/.f64 f n) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) f #s(literal 0 binary64))
(fma.f64 (neg.f64 f) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 f n) (neg.f64 n) #s(literal 0 binary64))
(fma.f64 n (/.f64 (neg.f64 f) n) #s(literal 0 binary64))
(fma.f64 f #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) f) f)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 f f)) (/.f64 (pow.f64 f #s(literal 3 binary64)) (*.f64 f f)))
(-.f64 #s(literal 0 binary64) f)
(+.f64 #s(literal 0 binary64) (neg.f64 f))
(+.f64 (neg.f64 f) #s(literal 0 binary64))
(*.f64 (pow.f64 (pow.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ n f) (+.f64 n f))))
(*.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (+ n f) (+.f64 n f)))
(pow.f64 (pow.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal 1 binary64))
#s(approx (+ n f) (+.f64 n f))
(/.f64 (neg.f64 #s(approx (+ n f) (+.f64 n f))) #s(literal -1 binary64))
(/.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (+ n f) (+.f64 n f))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ n f) (+.f64 n f))))
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ n f) (+.f64 n f)) #s(literal -1 binary64))) #s(literal -1 binary64)))

eval1.0s (15.6%)

Memory
-3.9MiB live, 179.2MiB allocated
Compiler

Compiled 29 181 to 2 855 computations (90.2% saved)

prune29.0ms (0.4%)

Memory
22.7MiB live, 61.8MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New1 11301 113
Fresh000
Picked022
Done099
Total1 113111 124
Accuracy
100.0%
Counts
1 124 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
46.3%
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
87.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
90.0%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n))
54.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
46.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
90.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))))
54.4%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
53.1%
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
45.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 383 to 173 computations (54.8% saved)

regimes19.0ms (0.3%)

Memory
-24.3MiB live, 24.2MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))))
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)))
(/.f64 (neg.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (*.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 n f)))) (-.f64 f n))
Outputs
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)))
Calls

3 calls:

8.0ms
f
5.0ms
n
4.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
100.0%1f
100.0%1n
100.0%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes15.0ms (0.2%)

Memory
-4.5MiB live, 34.0MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 f n) n n))) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 (/.f64 f n) n n))))
Outputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
Calls

3 calls:

6.0ms
f
5.0ms
n
4.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
100.0%1f
100.0%1n
100.0%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes10.0ms (0.2%)

Memory
24.3MiB live, 24.3MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
Calls

3 calls:

4.0ms
f
4.0ms
n
3.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
100.0%1f
100.0%1n
100.0%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes10.0ms (0.2%)

Memory
-16.9MiB live, 21.4MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Calls

3 calls:

4.0ms
n
3.0ms
f
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
77.8%3f
75.9%3n
97.8%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.0%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.0%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(approx (+ (* (/ 2 n) f) 1) #s(literal 1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
96.9%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory
9.3MiB live, 9.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Calls

3 calls:

1.0ms
n
1.0ms
f
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
45.5%1n
45.5%1f
45.5%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.8768447539261539
0.9892304822310032
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.8768447539261539
0.9892304822310032
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.8768447539261539
0.9892304822310032
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch15.0ms (0.2%)

Memory
-7.1MiB live, 31.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
-0.8768447539261539
0.9892304822310032
Samples
4.0ms240×0valid
Compiler

Compiled 311 to 281 computations (9.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 0.0ms
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify38.0ms (0.6%)

Memory
3.5MiB live, 83.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
044185
166185
297185
3130180
4167180
5253180
6371180
7484180
8551180
9596180
10618180
11621180
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Outputs
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)))
(-.f64 (/.f64 (*.f64 (/.f64 n (-.f64 n f)) n) (-.f64 n f)) (/.f64 (*.f64 (/.f64 f (-.f64 n f)) f) (-.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 n f) (-.f64 n f)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

soundness690.0ms (10.7%)

Memory
1.0MiB live, 385.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0145539
1448504
21333469
35177459
08642432
0618
01018
14618
232717
0553017
Stop Event
done
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 257 to 104 computations (59.5% saved)

preprocess339.0ms (5.3%)

Memory
-6.2MiB live, 107.1MiB allocated
Compiler

Compiled 376 to 94 computations (75% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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