subtraction fraction

Time bar (total: 3.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.4%)

Memory
-3.7MiB live, 4.3MiB 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)

sample509.0ms (13.6%)

Memory
15.7MiB live, 187.8MiB allocated
Samples
317.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 176.0ms
ival-add: 50.0ms (28.4% of total)
ival-div: 48.0ms (27.2% of total)
ival-sub: 36.0ms (20.4% of total)
ival-neg: 34.0ms (19.3% of total)
ival-true: 5.0ms (2.8% of total)
ival-assert: 2.0ms (1.1% of total)
Bogosity

explain52.0ms (1.4%)

Memory
-14.9MiB live, 33.4MiB 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
Total Time
13.667724609375
Average Time
0.053389549255371094
Samples
23.0ms512×0valid
Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 3.0ms (28.4% of total)
ival-div: 3.0ms (28.4% of total)
ival-add: 2.0ms (18.9% of total)
ival-neg: 2.0ms (18.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess51.0ms (1.4%)

Memory
7.1MiB live, 7.1MiB 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
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB 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)

simplify23.0ms (0.6%)

Memory
-6.1MiB live, 1.5MiB 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)

localize16.0ms (0.4%)

Memory
-0.6MiB live, 7.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 f n)
accuracy0
(+.f64 f n)
accuracy0
(neg.f64 (+.f64 f n))
accuracy0.021816259768442016
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
11.0ms256×0valid
Compiler

Compiled 42 to 14 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-sub: 1.0ms (19.6% of total)
ival-div: 1.0ms (19.6% of total)
ival-add: 1.0ms (19.6% of total)
ival-neg: 1.0ms (19.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
1.8MiB live, 1.8MiB allocated
Counts
4 → 40
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)
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
(* f (+ 1 (/ n f)))
(* f (+ 1 (* -1 (/ n f))))
(- (* -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 (/ n f))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* 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)
(- (* -1 n) f)
(+ f (* -1 n))
(+ 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)))))
(* n (- (* -1 (/ f n)) 1))
(* n (+ 1 (/ f n)))
(* n (- (/ f n) 1))
(+ 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 (/ f n))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -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))

simplify137.0ms (3.7%)

Memory
9.5MiB live, 37.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145384
1448349
21333314
35177304
08642278
Stop Event
iter limit
node limit
Counts
40 → 38
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)
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
(* f (+ 1 (/ n f)))
(* f (+ 1 (* -1 (/ n f))))
(- (* -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 (/ n f))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* 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)
(- (* -1 n) f)
(+ f (* -1 n))
(+ 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)))))
(* n (- (* -1 (/ f n)) 1))
(* n (+ 1 (/ f n)))
(* n (- (/ f n) 1))
(+ 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 (/ f n))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -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)
n
(+ f n)
(+.f64 n f)
(- 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
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(- (* -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 (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(- (* -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 n) f)
(-.f64 (neg.f64 f) n)
(+ f (* -1 n))
(-.f64 f n)
(+ 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))
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (- (/ f n) 1))
(-.f64 f n)
(+ 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 (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)

rewrite115.0ms (3.1%)

Memory
-5.0MiB live, 34.2MiB 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))))
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(+.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))

eval72.0ms (1.9%)

Memory
-0.3MiB live, 48.3MiB allocated
Compiler

Compiled 13 485 to 1 676 computations (87.6% saved)

prune11.0ms (0.3%)

Memory
-2.5MiB live, 24.1MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New57610586
Fresh000
Picked101
Done000
Total57710587
Accuracy
100.0%
Counts
587 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
47.0%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
55.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
100.0%
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
54.7%
#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)))
47.3%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
55.6%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
45.9%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
54.4%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 240 to 172 computations (28.3% saved)

simplify38.0ms (1%)

Memory
3.0MiB live, 3.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 n f)
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 (+.f64 n f) (-.f64 n f))
cost-diff0
(/.f64 #s(literal -2 binary64) f)
cost-diff0
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #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 n)
cost-diff0
(neg.f64 n)
cost-diff128
(/.f64 (neg.f64 n) (-.f64 f n))
cost-diff896
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
023109
036114
158114
2100101
3168101
4280101
5482101
61029101
71260101
81413101
91477101
101518101
111527101
01527101
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 f (-.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) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal -1 binary64)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
Outputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 n (-.f64 n f))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 f (-.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) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal -1 binary64)
(/.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)

localize45.0ms (1.2%)

Memory
-2.8MiB live, 19.9MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 n f)
accuracy0
(+.f64 n f)
accuracy0.021816259768442016
(/.f64 (+.f64 n f) (-.f64 n f))
accuracy0
(/.f64 #s(literal -2 binary64) f)
accuracy0.125
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
accuracy28.42214573808723
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
accuracy0
(-.f64 f n)
accuracy0
(neg.f64 f)
accuracy0.021816259768442016
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy28.645464345021793
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy29.211796107076356
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0
(neg.f64 n)
accuracy0.01171875
(/.f64 (neg.f64 n) (-.f64 f n))
accuracy0.01171875
(/.f64 f (-.f64 f n))
accuracy0.01171875
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
Samples
29.0ms256×0valid
Compiler

Compiled 206 to 44 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 7.0ms (38% of total)
ival-sub: 3.0ms (16.3% of total)
ival-add: 3.0ms (16.3% of total)
ival-neg: 3.0ms (16.3% of total)
ival-mult: 2.0ms (10.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.3%)

Memory
5.4MiB live, 5.4MiB allocated
Counts
15 → 101
Calls
Call 1
Inputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(-.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)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
(/.f64 f (-.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 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 n)
(- f n)
(- (* -1 f) n)
(* -1 f)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
n
(+ f n)
(+ n (* -1 f))
(* -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
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
f
(* f (+ 1 (* -1 (/ n f))))
(- (* -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)
(* 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))))
(* f (+ 1 (/ n f)))
(* f (- (/ n f) 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 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 (* f (- (/ n f) 1)))
(- (* -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 (/ n f))))
(- (* -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 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(- (* 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)
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(+ f (* -1 n))
(- (* -1 n) f)
(- n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(* n (- (/ 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)))))
(* n (- (* -1 (/ f n)) 1))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 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 (+ 1 (/ f n)))
(* n (+ 1 (* -1 (/ f n))))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -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 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 (* n (+ 1 (* -1 (/ 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 (/ 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 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -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))
Calls

6 calls:

TimeVariablePointExpression
2.0ms
f
@inf
((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))
2.0ms
n
@inf
((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))
2.0ms
f
@0
((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))
2.0ms
n
@0
((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))
2.0ms
f
@-inf
((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))

simplify144.0ms (3.9%)

Memory
2.2MiB live, 41.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04311357
113611283
240821146
081981033
Stop Event
iter limit
node limit
Counts
101 → 99
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 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 n)
(- f n)
(- (* -1 f) n)
(* -1 f)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
n
(+ f n)
(+ n (* -1 f))
(* -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
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
f
(* f (+ 1 (* -1 (/ n f))))
(- (* -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)
(* 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))))
(* f (+ 1 (/ n f)))
(* f (- (/ n f) 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 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 (* f (- (/ n f) 1)))
(- (* -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 (/ n f))))
(- (* -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 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(- (* 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)
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(+ f (* -1 n))
(- (* -1 n) f)
(- n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(* n (- (/ 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)))))
(* n (- (* -1 (/ f n)) 1))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 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 (+ 1 (/ f n)))
(* n (+ 1 (* -1 (/ f n))))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -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 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 (* n (+ 1 (* -1 (/ 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 (/ 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 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -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))
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 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(+ 1 (/ f n))
(+.f64 (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(* -1 f)
(neg.f64 f)
(* -2 (/ n f))
(*.f64 (/.f64 n f) #s(literal -2 binary64))
(/ (+ (* -2 n) (* -1 f)) f)
(/.f64 (fma.f64 #s(literal -2 binary64) n (neg.f64 f)) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
n
(+ f n)
(+.f64 f n)
(+ n (* -1 f))
(-.f64 n f)
(* -1 (/ f n))
(/.f64 (neg.f64 f) n)
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) n)) f (/.f64 #s(literal -1 binary64) n)) f)
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))) f (/.f64 (/.f64 #s(literal -1 binary64) n) n)) f (/.f64 #s(literal -1 binary64) n)) f)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(fma.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal -1 binary64))
(* -1 (/ n f))
(/.f64 (neg.f64 n) f)
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(*.f64 (/.f64 n f) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/.f64 (neg.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(/.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64))))) f)
f
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f) #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 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal -1 binary64))
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -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 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal -1 binary64))
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* f (- (/ n f) 1))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(+ 1 (/ n f))
(+.f64 (/.f64 n f) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(+.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(fma.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 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 (/ (+ n (/ (pow n 2) f)) f))
(*.f64 (/.f64 n f) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(/.f64 (neg.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (+.f64 (/.f64 (fma.f64 n n (/.f64 (+.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (pow.f64 n #s(literal 3 binary64))) f)) f) n) (neg.f64 f))
(* -1 (* f (- (/ n f) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f) #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 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -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 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 (/.f64 n f) f f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(+.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal 1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f) #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 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal -1 binary64))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(*.f64 (/.f64 n f) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal -1 binary64) f)) n)
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 3 binary64))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) n (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal -1 binary64) f)) n)
(+ f (* -1 n))
(-.f64 f n)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(- n f)
(-.f64 n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(+.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal 1 binary64))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 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 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #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 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #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 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(* n (+ 1 (* -1 (/ f n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) (neg.f64 n))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (neg.f64 (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f)) n)
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #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 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 f n) n n)
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) (neg.f64 n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) (pow.f64 f #s(literal 3 binary64))) n)) n) f) (neg.f64 n))

rewrite168.0ms (4.5%)

Memory
-7.0MiB live, 77.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02395
03692
115787
2139687
0863487
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 659
Calls
Call 1
Inputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(-.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)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
(/.f64 f (-.f64 f n))
Outputs
(*.f64 (/.f64 (-.f64 (neg.f64 n) f) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 n) f) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 n) f) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.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 (/.f64 (-.f64 (neg.f64 n) f) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.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 (/.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 f #s(literal 3 binary64)) (pow.f64 n #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 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.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 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 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.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 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 (-.f64 f n) f (*.f64 n 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 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))
(*.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 f n) (-.f64 n f))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (pow.f64 (+.f64 f 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 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 f f (*.f64 n (+.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 (-.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 f #s(literal 3 binary64)) (pow.f64 n #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 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.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 f #s(literal 3 binary64)) (pow.f64 n #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 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 (-.f64 f n) f (*.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 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 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 f n) #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 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.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 f n) #s(literal -1 binary64)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (*.f64 (+.f64 f n) (-.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)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (*.f64 (+.f64 f n) (-.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)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (+.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 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.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 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.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 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (+.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 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (+.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 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)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (+.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 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)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (+.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 n f)))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (+.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 n f)))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.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 f #s(literal 3 binary64)) (pow.f64 n #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 (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 (-.f64 f n) f (*.f64 n n))))
(*.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) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.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 (/.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 f n) (-.f64 n f)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f)))
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(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 n f)))) (-.f64 n 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 (*.f64 n n) (-.f64 n f)) (*.f64 (-.f64 n f) (*.f64 f f))) (pow.f64 (-.f64 f n) #s(literal 2 binary64)))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (-.f64 n f))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 f n) f (*.f64 n n))))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n))
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (*.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 n f) (*.f64 (+.f64 f n) (-.f64 n f)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))))
(neg.f64 (-.f64 (neg.f64 n) f))
(fma.f64 #s(literal 1 binary64) n f)
(fma.f64 #s(literal -1 binary64) (neg.f64 n) f)
(-.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (/.f64 (*.f64 n n) (-.f64 f n)))
(-.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (/.f64 (*.f64 f f) (-.f64 n f)))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 n) f))
(+.f64 (neg.f64 (neg.f64 f)) n)
(+.f64 f n)
(+.f64 n f)
(*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (-.f64 n f) (+.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (/.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 n f) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (-.f64 n f) (+.f64 f n)))
(*.f64 (/.f64 (+.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 n f) (fma.f64 f (+.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (+.f64 f n) #s(literal 1 binary64)) (/.f64 (-.f64 n f) (+.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (-.f64 n f) (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 f n) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (-.f64 n f) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 f n) #s(literal -1 binary64)) (/.f64 (-.f64 f n) (+.f64 f n)))
(*.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n))) (-.f64 f n))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(*.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (-.f64 n f))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (-.f64 n f) (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (-.f64 n f) (pow.f64 (-.f64 n f) #s(literal -1 binary64))))
(*.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (pow.f64 (+.f64 f n) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (-.f64 f n))
(pow.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 n f))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal -1 binary64))
(/.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64))) (fma.f64 f f (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) n))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n)))) (-.f64 (neg.f64 n) f))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 n f)))) (+.f64 f n))
(/.f64 (-.f64 (*.f64 (*.f64 n n) (+.f64 f n)) (*.f64 (+.f64 f n) (*.f64 f f))) (pow.f64 (+.f64 f n) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f (+.f64 f n) (*.f64 n n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (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 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n (+.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 (*.f64 f f) (*.f64 n (neg.f64 f))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 f (+.f64 f n) (*.f64 n n))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 n f))) (neg.f64 (-.f64 n (neg.f64 f))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 (neg.f64 n) f))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (neg.f64 n) f))
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 n (neg.f64 f)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 f n))
(/.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (neg.f64 (fma.f64 f f (*.f64 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 (*.f64 f f) (*.f64 n (neg.f64 f)))))
(/.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 f (+.f64 f n) (*.f64 n n)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 n f))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 n f)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(neg.f64 (-.f64 f n))
(fma.f64 #s(literal 1 binary64) n (neg.f64 f))
(fma.f64 #s(literal -1 binary64) f n)
(fma.f64 #s(literal -1 binary64) (neg.f64 n) (neg.f64 f))
(fma.f64 f #s(literal -1 binary64) n)
(-.f64 (/.f64 (*.f64 n n) (-.f64 n (neg.f64 f))) (/.f64 (*.f64 f f) (-.f64 n (neg.f64 f))))
(-.f64 (/.f64 (*.f64 f f) (-.f64 (neg.f64 n) f)) (/.f64 (*.f64 n n) (-.f64 (neg.f64 n) f)))
(-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
(-.f64 (+.f64 n #s(literal 0 binary64)) f)
(-.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (/.f64 (*.f64 f f) (+.f64 f n)))
(-.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f (+.f64 f n) (*.f64 n n))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f (+.f64 f n) (*.f64 n n))))
(-.f64 #s(literal 0 binary64) (-.f64 f n))
(-.f64 n f)
(+.f64 (neg.f64 f) n)
(+.f64 n (neg.f64 f))
(*.f64 (/.f64 f (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 f (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 f (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 f (-.f64 f n)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 f (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 f (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 f (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 f (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 f (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)))
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.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 (/.f64 f (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 f #s(literal -1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n))
(*.f64 (/.f64 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 f f (*.f64 n (+.f64 f n))) #s(literal -1 binary64))))
(*.f64 (/.f64 f (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (pow.f64 f #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) f)
(*.f64 #s(literal 1 binary64) (/.f64 f (-.f64 f n)))
(*.f64 (neg.f64 f) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 f (-.f64 n f)))
(*.f64 f (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 f n) f) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 f #s(literal 1 binary64))) (-.f64 n f))
(/.f64 (neg.f64 (neg.f64 (neg.f64 f))) (-.f64 n f))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (neg.f64 (neg.f64 f)))) (pow.f64 (-.f64 f n) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (-.f64 f n) f))) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 f n)) (*.f64 (-.f64 n f) (neg.f64 f))) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) f)) (pow.f64 (-.f64 f n) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 f))) (-.f64 n f))
(/.f64 (neg.f64 (neg.f64 f)) (-.f64 f n))
(/.f64 (*.f64 f #s(literal 1 binary64)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) f))
(/.f64 (neg.f64 f) (-.f64 n f))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) f)))
(/.f64 f (-.f64 f n))
(neg.f64 (/.f64 f (-.f64 n f)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 f n) f)) #s(literal -1 binary64)))

eval129.0ms (3.5%)

Memory
10.9MiB live, 104.7MiB allocated
Compiler

Compiled 32 453 to 3 365 computations (89.6% saved)

prune20.0ms (0.5%)

Memory
-3.1MiB live, 45.9MiB allocated
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1 21621 218
Fresh145
Picked145
Done000
Total1 218101 228
Accuracy
100.0%
Counts
1 228 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
87.8%
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
47.0%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
55.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
100.0%
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
47.3%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
55.6%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
45.9%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
54.4%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 185 to 134 computations (27.6% saved)

simplify51.0ms (1.4%)

Memory
3.7MiB live, 3.7MiB 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 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 (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
cost-diff0
(/.f64 f (-.f64 f n))
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 n (-.f64 n f))
cost-diff896
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023118
036120
164120
2112118
3187110
4365110
5739110
61266110
71541110
81663110
91741110
101785110
111786110
01786110
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f
(/.f64 f (-.f64 f 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 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
#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 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f
(/.f64 f (-.f64 f 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 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
#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 f n) (-.f64 n f))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (-.f64 n f) (+.f64 f n))
(-.f64 n f)
n
f
(+.f64 n f)
(+.f64 f n)

localize45.0ms (1.2%)

Memory
-3.0MiB live, 20.4MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 n f)
accuracy0
(+.f64 n f)
accuracy0.0078125
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
accuracy0.0234375
(/.f64 (-.f64 n f) (+.f64 n f))
accuracy0
(/.f64 #s(literal 2 binary64) n)
accuracy0.05859375
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
accuracy33.74855806877155
#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 n)
accuracy0.021816259768442016
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy34.028685555498456
#s(approx (neg (+ f n)) (neg.f64 n))
accuracy34.63104579286491
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
accuracy0
(-.f64 f n)
accuracy0.01171875
(/.f64 n (-.f64 n f))
accuracy0.01171875
(/.f64 f (-.f64 f n))
accuracy0.01171875
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
Samples
33.0ms256×0valid
Compiler

Compiled 224 to 44 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 9.0ms (41.7% of total)
ival-sub: 3.0ms (13.9% of total)
ival-add: 3.0ms (13.9% of total)
exact: 3.0ms (13.9% of total)
ival-neg: 2.0ms (9.3% of total)
ival-mult: 1.0ms (4.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.2%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
15 → 119
Calls
Call 1
Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 n (-.f64 n f))
(-.f64 n f)
(/.f64 f (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #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)
#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)
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 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
n
(+ n (* -1 f))
(* -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 n)
(- (* -1 f) n)
(- f n)
(+ 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)))))
(+ f n)
-1
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2))))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3)))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 f)
(* f (- (/ n f) 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 (/ (- 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)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(- (* -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))))
(- (/ 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)))))
(* f (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) 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 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(- (* -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 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 (/ 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)
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(- n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(- (* -1 n) f)
(+ f (* -1 n))
(/ (+ n (* 2 f)) n)
(/ 2 n)
(- (* 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 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(* n (+ 1 (* -1 (/ f n))))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -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 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)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ 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 (/ 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 (+ 1 (/ f n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 (* n (- (/ f n) 1)))
(* -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 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 (/ f n))))
(* -1 (* n (+ 1 (* -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 (- (* -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)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
Calls

6 calls:

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

simplify139.0ms (3.7%)

Memory
-2.9MiB live, 46.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04991804
115991665
247571459
085451307
Stop Event
iter limit
node limit
Counts
119 → 117
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 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
n
(+ n (* -1 f))
(* -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 n)
(- (* -1 f) n)
(- f n)
(+ 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)))))
(+ f n)
-1
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2))))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3)))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 f)
(* f (- (/ n f) 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 (/ (- 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)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(- (* -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))))
(- (/ 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)))))
(* f (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) 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 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(- (* -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 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 (/ 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)
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(- n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(- (* -1 n) f)
(+ f (* -1 n))
(/ (+ n (* 2 f)) n)
(/ 2 n)
(- (* 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 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(* n (+ 1 (* -1 (/ f n))))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -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 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)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ 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 (/ 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 (+ 1 (/ f n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 (* n (- (/ f n) 1)))
(* -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 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 (/ f n))))
(* -1 (* n (+ 1 (* -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 (- (* -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)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
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)))))
(-.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 (/ f n))
(+.f64 (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n) #s(literal 1 binary64))
n
(+ n (* -1 f))
(-.f64 n f)
(* -1 (/ f n))
(/.f64 (neg.f64 f) n)
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(/.f64 (fma.f64 f (/.f64 f n) f) (neg.f64 n))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) (neg.f64 n))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))) f (/.f64 (/.f64 #s(literal -1 binary64) n) n)) f (/.f64 #s(literal -1 binary64) n)) f)
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- f n)
(-.f64 f n)
(+ 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))
(+ f n)
(+.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))
(- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3)))))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n (neg.f64 (fma.f64 (/.f64 (/.f64 n f) f) (fma.f64 n (/.f64 n f) n) (fma.f64 (/.f64 (/.f64 n f) f) (fma.f64 n (/.f64 n f) n) #s(literal 1 binary64)))))
(* -1 (/ n f))
(/.f64 (neg.f64 n) f)
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/.f64 (fma.f64 n (/.f64 n f) n) (neg.f64 f))
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/.f64 (neg.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n))) f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(+ 1 (/ n f))
(+.f64 (/.f64 n f) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(fma.f64 (/.f64 n f) (+.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(+.f64 (/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) f) #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 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #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 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
f
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(* 2 (/ f n))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #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)))
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 f #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64)))
(- (/ n f) (+ 1 (* -1 (/ n f))))
(fma.f64 (/.f64 #s(literal 2 binary64) f) n #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 (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64)))
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 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 (/ (+ n (/ (pow n 2) f)) f))
(/.f64 (fma.f64 n (/.f64 n f) n) (neg.f64 f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(/.f64 (neg.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n)) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (+.f64 (/.f64 (fma.f64 n n (/.f64 (+.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (pow.f64 n #s(literal 3 binary64))) f)) f) n) (neg.f64 f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(fma.f64 (/.f64 n f) (+.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(+.f64 (/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) f) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #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 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (* f (- (/ n f) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (* -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 (/ (- (* -1 n) n) f)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) f) n #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 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 n n) (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal -2 binary64))) f) n) n) f) #s(literal 1 binary64))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 (/.f64 n f) f f)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #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))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(/.f64 (fma.f64 n (/.f64 n f) n) (neg.f64 f))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(/.f64 (neg.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n)) f)
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 3 binary64))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) n (/.f64 (/.f64 #s(literal -1 binary64) f) f)) n (/.f64 #s(literal -1 binary64) f)) n)
(- n f)
(-.f64 n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(fma.f64 (/.f64 n f) (+.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(+.f64 (/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) f) #s(literal 1 binary64))
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(+ f (* -1 n))
(-.f64 f n)
(/ (+ n (* 2 f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(- (* 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 (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 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
(fma.f64 (/.f64 (/.f64 f n) n) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 (/.f64 f n) n) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n) #s(literal 1 binary64))
(* n (+ 1 (* -1 (/ f n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/.f64 (fma.f64 f (/.f64 f n) f) (neg.f64 n))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) (neg.f64 n))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (neg.f64 (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f)) n)
(+ 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)))))
(-.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 (/ f n)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(- (+ 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)))))
(-.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 (* -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 (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) 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 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 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 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n) #s(literal 1 binary64))
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(/.f64 (fma.f64 f (/.f64 f n) f) (neg.f64 n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) (neg.f64 n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) (pow.f64 f #s(literal 3 binary64))) n)) n) f) (neg.f64 n))
(+ 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 (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 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))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal 2 binary64))) n))
(+ 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))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 f n) n n)

rewrite144.0ms (3.8%)

Memory
0.5MiB live, 60.5MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023100
036100
116498
2140898
0863498
Stop Event
iter limit
node limit
iter limit
Counts
15 → 790
Calls
Call 1
Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 n (-.f64 n f))
(-.f64 n f)
(/.f64 f (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #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)
#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)
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 n f) f)) (pow.f64 (*.f64 (-.f64 f n) (-.f64 n f)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 n f)) (-.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 n f) f))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 3 binary64)) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 f) (-.f64 f n)) (/.f64 n (-.f64 n f))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 n f) f)) (-.f64 n f))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 n f) f)))) (neg.f64 (neg.f64 (*.f64 (-.f64 f n) (-.f64 n f)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 n) (neg.f64 (-.f64 f n))) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 f)))) (neg.f64 (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 f n)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 f n) f)) (*.f64 (neg.f64 (-.f64 n f)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 (-.f64 n f)) (/.f64 (-.f64 f n) f))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 n) (-.f64 f n)) (*.f64 (neg.f64 (-.f64 n f)) f))) (neg.f64 (*.f64 (neg.f64 (-.f64 n f)) (-.f64 f n))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 f n))) (*.f64 (/.f64 (-.f64 n f) n) (neg.f64 f)))) (neg.f64 (*.f64 (/.f64 (-.f64 n f) n) (neg.f64 (-.f64 f n)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 f n) f) (*.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 n f) n) (/.f64 (-.f64 f n) f))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (/.f64 (-.f64 n f) n) f))) (neg.f64 (*.f64 (/.f64 (-.f64 n f) n) (-.f64 f n))))
(/.f64 (neg.f64 (-.f64 (*.f64 n (neg.f64 (-.f64 f n))) (*.f64 (-.f64 n f) (neg.f64 f)))) (neg.f64 (*.f64 (-.f64 n f) (neg.f64 (-.f64 f n)))))
(/.f64 (neg.f64 (-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))) (*.f64 (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64))) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64))) (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 f n) (-.f64 n f))) (*.f64 (*.f64 (-.f64 f n) (-.f64 n f)) (*.f64 (-.f64 n f) f))) (*.f64 (*.f64 (-.f64 f n) (-.f64 n f)) (*.f64 (-.f64 f n) (-.f64 n f))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (neg.f64 (neg.f64 (-.f64 f n)))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (neg.f64 (neg.f64 f)))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (-.f64 f n)) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (*.f64 f #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (neg.f64 (-.f64 f n))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (neg.f64 f))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (neg.f64 (-.f64 f n))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (neg.f64 (/.f64 (-.f64 f n) f))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (/.f64 (-.f64 f n) f)) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (/.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (-.f64 f n)) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) f)) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 f n)))) (*.f64 (-.f64 n f) (neg.f64 (neg.f64 f)))) (*.f64 (-.f64 n f) (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (-.f64 f n)) (*.f64 (-.f64 n f) (*.f64 f #s(literal 1 binary64)))) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (neg.f64 (-.f64 f n))) (*.f64 (-.f64 n f) (neg.f64 f))) (*.f64 (-.f64 n f) (neg.f64 (-.f64 f n))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 f n) f))) (*.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 (-.f64 n f) (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (-.f64 f n)) (*.f64 (-.f64 n f) f)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 f n)))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (neg.f64 (neg.f64 f)))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 (-.f64 (neg.f64 (-.f64 f n)) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (*.f64 f #s(literal 1 binary64)))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 f n))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (neg.f64 f))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (neg.f64 (-.f64 f n))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) f))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) f)) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (/.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (neg.f64 (-.f64 f n)) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) f)) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (neg.f64 (neg.f64 (-.f64 f n)))) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (neg.f64 f)))) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (-.f64 f n)) (*.f64 (neg.f64 (-.f64 n f)) (*.f64 f #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 n f)) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (neg.f64 (/.f64 (-.f64 f n) f))) (*.f64 (neg.f64 (-.f64 n f)) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 n f)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 n f)) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (-.f64 f n)))) (*.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) (neg.f64 (neg.f64 f)))) (*.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) (*.f64 f #s(literal 1 binary64)))) (*.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 f n))) (*.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) (neg.f64 f))) (*.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) (neg.f64 (-.f64 f n))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 f n) f))) (*.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
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eval117.0ms (3.1%)

Memory
1.1MiB live, 83.1MiB allocated
Compiler

Compiled 23 637 to 2 780 computations (88.2% saved)

prune12.0ms (0.3%)

Memory
-5.7MiB live, 35.3MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New9520952
Fresh011
Picked055
Done044
Total95210962
Accuracy
100.0%
Counts
962 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
87.8%
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
47.0%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
55.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
100.0%
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
47.3%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
55.6%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
45.9%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
54.4%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 114 to 83 computations (27.2% saved)

simplify251.0ms (6.7%)

Memory
6.5MiB live, 13.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
cost-diff1024
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01047
01547
12447
23347
34747
46341
510735
616235
738135
8113035
9256235
10345235
11387635
12407535
13414635
14421435
15555635
16595535
17616435
18632035
19639635
20654835
21687535
22715135
23716435
24720035
25720035
26746035
27758035
28758035
29758035
0865035
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
(+.f64 n f)
n
f
#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(-.f64 (/.f64 n f) #s(literal 1 binary64))
(/.f64 n f)
#s(literal 1 binary64)
Outputs
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
(/.f64 (+.f64 f n) #s(approx (- n f) (-.f64 n f)))
(+.f64 n f)
(+.f64 f n)
n
f
#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
#s(approx (- n f) (-.f64 n f))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(-.f64 n f)
(-.f64 (/.f64 n f) #s(literal 1 binary64))
(/.f64 n f)
#s(literal 1 binary64)

localize21.0ms (0.6%)

Memory
1.9MiB live, 9.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 n f)
accuracy0
#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
accuracy0.021816259768442016
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
accuracy7.5936794093521955
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
Samples
15.0ms256×0valid
Compiler

Compiled 80 to 21 computations (73.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (35.9% of total)
ival-sub: 2.0ms (23.9% of total)
ival-mult: 2.0ms (23.9% of total)
ival-add: 1.0ms (12% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.3%)

Memory
-7.7MiB live, 1.9MiB allocated
Counts
4 → 33
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
(+.f64 n f)
#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
Outputs
n
(+ 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)))))
(+ f n)
(* -1 f)
(* 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)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(- (* -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 (* 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)
(- n f)
(* n (+ 1 (* -1 (/ f n))))
(- (+ 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 (+ 1 (/ f n)))
(* -1 (* n (- (/ f n) 1)))
(+ 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 (* n (- (* -1 (/ f n)) 1)))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
n
@inf
((* (- (/ n f) 1) f) (/ (+ n f) (- n f)) (+ n f) (- n f))
2.0ms
f
@-inf
((* (- (/ n f) 1) f) (/ (+ n f) (- n f)) (+ n f) (- n f))
1.0ms
n
@-inf
((* (- (/ n f) 1) f) (/ (+ n f) (- n f)) (+ n f) (- n f))
0.0ms
f
@inf
((* (- (/ n f) 1) f) (/ (+ n f) (- n f)) (+ n f) (- n f))
0.0ms
f
@0
((* (- (/ n f) 1) f) (/ (+ n f) (- n f)) (+ n f) (- n f))

simplify121.0ms (3.2%)

Memory
-5.5MiB live, 33.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140361
1432342
21255298
35325280
08413251
Stop Event
iter limit
node limit
Counts
33 → 31
Calls
Call 1
Inputs
n
(+ 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)))))
(+ f n)
(* -1 f)
(* 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)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(- (* -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 (* 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)
(- n f)
(* n (+ 1 (* -1 (/ f n))))
(- (+ 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 (+ 1 (/ f n)))
(* -1 (* n (- (/ f n) 1)))
(+ 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 (* n (- (* -1 (/ f n)) 1)))
Outputs
n
(+ 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 #s(literal 2 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64)))
(+ f n)
(+.f64 f n)
(* -1 f)
(neg.f64 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 #s(literal -2 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64)) (-.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 f n)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(- (* -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)
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 2 binary64))) f)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(- (* -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))
(- n f)
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(- (+ 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 #s(literal 2 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64)))
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(+ 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 (/.f64 f n) f f)) n)) n) #s(literal 1 binary64))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)

rewrite83.0ms (2.2%)

Memory
-0.3MiB live, 31.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01536
16636
247136
0808536
Stop Event
iter limit
node limit
iter limit
Counts
4 → 275
Calls
Call 1
Inputs
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
(+.f64 n f)
#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
Outputs
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)) f) (-.f64 (pow.f64 (/.f64 n f) #s(literal 4 binary64)) (pow.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 n f)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)) f) (+.f64 (pow.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 n f) #s(literal 6 binary64)))) (fma.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (-.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (pow.f64 (/.f64 n f) #s(literal 2 binary64))) (pow.f64 (/.f64 n f) #s(literal 4 binary64))))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) f) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 n f)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) f) (+.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 n f) (-.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) f) (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 n f) #s(literal 1 binary64)))
(*.f64 (/.f64 f (-.f64 (/.f64 n f) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)) f) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 n f)) #s(literal -1 binary64)))
(*.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) f) (pow.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) #s(literal -1 binary64)) f))
(*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f (-.f64 (/.f64 n f) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 f (+.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 n f))))
(*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 n f)) #s(literal -1 binary64)) f))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(*.f64 f (-.f64 (/.f64 n f) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64))) f) (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64))) f) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 n f))))
(/.f64 (*.f64 f (neg.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)))
(/.f64 (*.f64 f (neg.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 n f))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 n f) f) (*.f64 (/.f64 n f) f)) (*.f64 f f)) (-.f64 (*.f64 (/.f64 n f) f) (neg.f64 f)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 n f) f) #s(literal 3 binary64)) (pow.f64 (neg.f64 f) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 n f) f) (*.f64 (/.f64 n f) f) (-.f64 (*.f64 f f) (*.f64 (*.f64 (/.f64 n f) f) (neg.f64 f)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)) f)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 n f))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) f)) (fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)) f) (+.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 n f)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) f) (-.f64 (/.f64 n f) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 n f)) (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) f)))
(/.f64 f (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n f) #s(literal 1 binary64))))
(fma.f64 (*.f64 f (pow.f64 f #s(literal -1 binary64))) n (neg.f64 f))
(fma.f64 (*.f64 (/.f64 n f) f) #s(literal 1 binary64) (neg.f64 f))
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(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 f f) (fma.f64 f f (*.f64 n n)) (pow.f64 n #s(literal 4 binary64))) (-.f64 n f)))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) #s(literal 1 binary64)) (*.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 (-.f64 (*.f64 (*.f64 n n) (-.f64 n f)) (*.f64 (-.f64 n f) (*.f64 f f))) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 4 binary64))) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n n))))
(/.f64 (-.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) (*.f64 (-.f64 n f) (fma.f64 (*.f64 f f) (fma.f64 f f (*.f64 n n)) (pow.f64 n #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 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 (+.f64 (pow.f64 f #s(literal 9 binary64)) (pow.f64 n #s(literal 9 binary64))) (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 (+.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) (pow.f64 (*.f64 f n) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 f n))
(/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 n f))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (neg.f64 (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)))))
(/.f64 (+.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 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 f n) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (+.f64 f n)))
(fma.f64 (/.f64 (*.f64 n n) (fma.f64 (neg.f64 n) n (*.f64 f f))) (neg.f64 (+.f64 f n)) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 (*.f64 n n) (neg.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 f n) f (*.f64 n n))) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 (*.f64 n n) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 n #s(literal 1 binary64)) (/.f64 n (-.f64 n f)) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 n (/.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 n (fma.f64 n (-.f64 n f) (*.f64 f f))) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 n (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 n (pow.f64 (fma.f64 (+.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 (*.f64 n n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (neg.f64 f) (neg.f64 (+.f64 f n)) (*.f64 n n)) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 (*.f64 n n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (+.f64 f n) f (*.f64 n n)) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 n (fma.f64 (neg.f64 f) f (*.f64 n n))) (/.f64 n (pow.f64 (+.f64 f n) #s(literal -1 binary64))) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (/.f64 (*.f64 n n) (fma.f64 (neg.f64 f) f (*.f64 n n))) (+.f64 f n) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (fma.f64 f f (*.f64 n n)) (*.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 f n)))
(fma.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (+.f64 f n) f) (*.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n n)))
(fma.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n n) (*.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (+.f64 f n) f)))
(fma.f64 (fma.f64 f f (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (*.f64 f n) (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64))))
(fma.f64 #s(literal -1 binary64) (neg.f64 f) n)
(fma.f64 #s(literal -1 binary64) (neg.f64 n) f)
(fma.f64 (*.f64 (+.f64 f n) f) (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64))))
(fma.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (*.f64 (+.f64 f n) f) (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64))))
(fma.f64 (*.f64 n n) (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(fma.f64 #s(literal 1 binary64) f n)
(fma.f64 #s(literal 1 binary64) n f)
(fma.f64 f #s(literal 1 binary64) 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)
(-.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (/.f64 (*.f64 n n) (-.f64 f n)))
(-.f64 (*.f64 n (/.f64 n (-.f64 n f))) (*.f64 f (/.f64 f (-.f64 n f))))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 f n)))
(-.f64 n (neg.f64 f))
(+.f64 (-.f64 n #s(literal 0 binary64)) f)
(+.f64 (*.f64 (fma.f64 f f (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64))) (*.f64 (*.f64 f n) (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (+.f64 f n) f) (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64))) (*.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64))) (*.f64 (*.f64 (+.f64 f n) f) (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (fma.f64 f f (*.f64 n n))) (*.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 f n)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (+.f64 f n) f)) (*.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n n)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n n)) (*.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (+.f64 f n) f)))
(+.f64 (*.f64 n (/.f64 n (-.f64 n f))) (neg.f64 (*.f64 f (/.f64 f (-.f64 n f)))))
(+.f64 f n)
(+.f64 n f)
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))))
(*.f64 #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
(/.f64 (neg.f64 #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))) #s(literal -1 binary64))
(/.f64 #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))))

eval27.0ms (0.7%)

Memory
2.8MiB live, 24.3MiB allocated
Compiler

Compiled 8 393 to 866 computations (89.7% saved)

prune8.0ms (0.2%)

Memory
4.1MiB live, 13.9MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New2881289
Fresh000
Picked011
Done099
Total28811299
Accuracy
100.0%
Counts
299 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
87.8%
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
55.1%
(/.f64 (+.f64 n f) #s(approx (- n f) #s(approx (* (- (/ n f) 1) f) (neg.f64 f))))
47.0%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
55.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
100.0%
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
47.3%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
55.6%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
45.9%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
54.4%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 304 to 149 computations (51% saved)

regimes13.0ms (0.3%)

Memory
-0.2MiB live, 7.5MiB allocated
Counts
14 → 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))
(/.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) #s(approx (* (- (/ n f) 1) f) (neg.f64 f))))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#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 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
#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)))
Outputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
Calls

3 calls:

4.0ms
f
4.0ms
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 (0.3%)

Memory
-1.3MiB live, 6.5MiB 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))
(/.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) #s(approx (* (- (/ n f) 1) f) (neg.f64 f))))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#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:

3.0ms
f
3.0ms
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)

regimes8.0ms (0.2%)

Memory
-2.0MiB live, 5.9MiB 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))
(/.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) #s(approx (* (- (/ n f) 1) f) (neg.f64 f))))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Calls

3 calls:

3.0ms
n
3.0ms
f
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
82.3%3f
75.5%3n
99.7%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes2.0ms (0.1%)

Memory
1.8MiB live, 1.8MiB 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))
(/.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) #s(approx (* (- (/ n f) 1) f) (neg.f64 f))))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(/.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
99.2%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0.1%)

Memory
1.7MiB live, 1.7MiB allocated
Counts
5 → 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))
(/.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) #s(approx (* (- (/ n f) 1) f) (neg.f64 f))))
Outputs
(/.f64 (+.f64 n f) #s(approx (- n f) #s(approx (* (- (/ n f) 1) f) (neg.f64 f))))
(/.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
98.7%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0.1%)

Memory
-6.8MiB live, 1.5MiB 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))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
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
98.7%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
1.5MiB live, 1.5MiB 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))
(/.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:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.7%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Counts
2 → 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))
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
98.7%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB 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
f
1.0ms
n
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
54.4%1n
54.4%1f
54.4%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999992071356681
0.9999992205509664
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999992071356681
0.9999992205509664
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999992071356681
0.9999992205509664
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999992071356681
0.9999992205509664
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
-7.8MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999992071356681
0.9999992205509664
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch12.0ms (0.3%)

Memory
4.1MiB live, 4.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
11.0ms
-0.9999992071356681
0.9999992205509664
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)

simplify34.0ms (0.9%)

Memory
2.9MiB live, 18.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
051242
169242
288242
3101236
4117236
5149236
6187236
7243236
8319236
9373236
10432236
11481236
12526236
13555236
14574236
15579236
16580236
Stop Event
saturated
Calls
Call 1
Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.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)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #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)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.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 (+.f64 n f) #s(approx (- n f) #s(approx (* (- (/ n f) 1) f) (neg.f64 f)))) (/.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)) (/.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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #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)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.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 (+.f64 n f) #s(approx (- n f) #s(approx (* (- (/ n f) 1) f) (neg.f64 f)))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) #s(approx (* (- (/ n f) 1) f) (neg.f64 f)))) (/.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)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.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 f n) (-.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 -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 f n) (-.f64 n f)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness977.0ms (26.1%)

Memory
-2.6MiB live, 7.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04311357
113611283
240821146
081981033
0145384
1448349
21333314
35177304
08642278
0140361
1432342
21255298
35325280
08413251
02395
03692
115787
2139687
0863487
0618
01018
14618
232717
0553017
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 372 to 152 computations (59.1% saved)

preprocess73.0ms (1.9%)

Memory
-0.0MiB live, 30.4MiB allocated
Compiler

Compiled 488 to 110 computations (77.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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