subtraction fraction

Time bar (total: 4.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze12.0ms (0.3%)

Memory
15.8MiB live, 15.8MiB allocated; 0ms collecting garbage
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)

sample933.0ms (18.9%)

Memory
41.2MiB live, 776.5MiB allocated; 831ms collecting garbage
Samples
647.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 209.0ms
ival-div: 63.0ms (30.2% of total)
ival-add: 54.0ms (25.9% of total)
ival-sub: 43.0ms (20.6% of total)
ival-neg: 38.0ms (18.2% of total)
ival-true: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.4% of total)
adjust: 2.0ms (1% of total)
Bogosity

explain70.0ms (1.4%)

Memory
-29.2MiB live, 111.1MiB allocated; 23ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
00-0-(-.f64 f n)
00-0-f
00-0-n
00-0-(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
33.0ms512×0valid
Compiler

Compiled 52 to 22 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 12.0ms (59.2% of total)
ival-sub: 3.0ms (14.8% of total)
ival-add: 3.0ms (14.8% of total)
ival-neg: 2.0ms (9.9% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess16.0ms (0.3%)

Memory
23.7MiB live, 23.7MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01850
14044
28944
314544
419044
519744
620444
068
0108
1168
2268
3358
4358
0358
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 (neg.f64 (+.f64 n f)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory
5.6MiB live, 5.6MiB allocated; 0ms collecting garbage
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-diff0
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
01020
11620
22620
33520
43520
03520
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 (neg.f64 (+.f64 n f)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
(-.f64 f n)

localize42.0ms (0.9%)

Memory
-31.3MiB live, 22.3MiB allocated; 8ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 f n)
accuracy0.0
(+.f64 f n)
accuracy0.0
(neg.f64 (+.f64 f n))
accuracy0.037441259768442016
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
13.0ms256×0valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (33.4% of total)
ival-add: 2.0ms (33.4% of total)
ival-sub: 1.0ms (16.7% of total)
ival-neg: 1.0ms (16.7% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
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
@0
((/ (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
n
@0
((/ (neg (+ f n)) (- f n)) (neg (+ f n)) (+ f n) (- f n))

simplify195.0ms (3.9%)

Memory
13.7MiB live, 142.6MiB allocated; 20ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145444
1462415
21605357
37385357
08606327
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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 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)
(-.f64 (*.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)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #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)
(-.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)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 n) f) #s(literal 1 binary64)) f)
f
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 (*.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)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #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))))
(neg.f64 (fma.f64 (/.f64 n f) f f))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 n) f) #s(literal 1 binary64)) (neg.f64 f))
(* -1 (* f (- (/ n f) 1)))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) (neg.f64 f))
(- (* -2 (/ n f)) 1)
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) f) n) #s(literal 1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 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) f)
(-.f64 (neg.f64 n) f)
(+ 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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) 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 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) n)
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) 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 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) (neg.f64 n))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(fma.f64 (/.f64 f n) n (neg.f64 n))

rewrite198.0ms (4%)

Memory
39.2MiB live, 224.2MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0618
01017
13617
222417
3284116
0962516
Stop Event
iter limit
node limit
iter limit
Counts
4 → 868
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 (/.f64 (+.f64 n f) (*.f64 (-.f64 f n) (+.f64 n f))) #s(literal 1 binary64)) (+.f64 n f))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (*.f64 (-.f64 f n) (+.f64 n f))) (*.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 (fma.f64 f (-.f64 f n) (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n))) (/.f64 (+.f64 n f) (-.f64 f n)))
(*.f64 (pow.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 n f) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.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 n f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 f n)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (-.f64 f n) (+.f64 n f))) (+.f64 n f))
(*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 1 binary64))
(*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (/.f64 (+.f64 n f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))
(*.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) (/.f64 (+.f64 n f) (*.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) (-.f64 f n))))
(*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (pow.f64 (-.f64 n f) #s(literal 2 binary64))))
(*.f64 (+.f64 n f) (/.f64 (+.f64 n f) (*.f64 (-.f64 f n) (+.f64 n f))))
(/.f64 (+.f64 (/.f64 (neg.f64 n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (/.f64 (neg.f64 f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)))) (fma.f64 f (-.f64 f n) (*.f64 n n)))
(/.f64 (+.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 f #s(literal -1 binary64))) (-.f64 f n))
(/.f64 (+.f64 (neg.f64 n) (/.f64 f #s(literal -1 binary64))) (-.f64 f n))
(/.f64 (+.f64 (/.f64 n #s(literal -1 binary64)) (neg.f64 f)) (-.f64 f n))
(/.f64 (+.f64 (/.f64 (neg.f64 f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (/.f64 (neg.f64 n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)))) (fma.f64 f (-.f64 f n) (*.f64 n n)))
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(fma.f64 (/.f64 f #s(literal 1 binary64)) (/.f64 f (+.f64 n f)) (*.f64 n (/.f64 n (+.f64 n f))))
(fma.f64 (/.f64 (*.f64 f f) (-.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 n (/.f64 n (+.f64 n f))))
(fma.f64 (/.f64 (*.f64 f f) (-.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 n (/.f64 n (+.f64 n f))))
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (+.f64 n f))) (-.f64 f n) (*.f64 n (/.f64 n (+.f64 n f))))
(fma.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (-.f64 n f) n) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 f f)))
(fma.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 f f) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (-.f64 n f) n)))
(fma.f64 (pow.f64 f #s(literal 3/2 binary64)) (/.f64 (pow.f64 f #s(literal 3/2 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(fma.f64 (neg.f64 f) (/.f64 f (+.f64 n f)) (*.f64 n (/.f64 n (+.f64 n f))))
(fma.f64 (*.f64 (-.f64 n f) n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (*.f64 f f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))))
(fma.f64 (*.f64 f f) (/.f64 f (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(fma.f64 (*.f64 f f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 n f) n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))))
(fma.f64 f (/.f64 (*.f64 f f) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(fma.f64 f (/.f64 f (+.f64 n f)) (*.f64 n (/.f64 n (+.f64 n f))))
(-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (fma.f64 n n (*.f64 (neg.f64 n) (neg.f64 f))))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (fma.f64 n n (*.f64 (neg.f64 n) (neg.f64 f))))))
(-.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))) (/.f64 (pow.f64 n #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))))
(-.f64 (/.f64 (pow.f64 f #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))) (/.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)))) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)))) (/.f64 (/.f64 (pow.f64 n #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(-.f64 (/.f64 (pow.f64 (*.f64 f (/.f64 f (+.f64 n f))) #s(literal 2 binary64)) (-.f64 f n)) (/.f64 (pow.f64 (*.f64 n (/.f64 n (+.f64 n f))) #s(literal 2 binary64)) (-.f64 f n)))
(-.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 2 binary64)) (-.f64 f n)) (/.f64 (pow.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 2 binary64)) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 f (/.f64 f (+.f64 n f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 n (/.f64 n (+.f64 n f))) #s(literal 2 binary64)) (*.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f))))))) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 f (/.f64 f (+.f64 n f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 n (/.f64 n (+.f64 n f))) #s(literal 2 binary64)) (*.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))))) (/.f64 (/.f64 (pow.f64 n #s(literal 9 binary64)) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))))))
(-.f64 (/.f64 (*.f64 (*.f64 f f) (+.f64 n f)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 n f) (*.f64 n n)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))
(-.f64 (/.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))) (/.f64 (pow.f64 n #s(literal 4 binary64)) (*.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))))
(-.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)) (pow.f64 f #s(literal 4 binary64))) (+.f64 n f))) (/.f64 (pow.f64 n #s(literal 6 binary64)) (*.f64 (fma.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)) (pow.f64 f #s(literal 4 binary64))) (+.f64 n f))))
(-.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))) (/.f64 (pow.f64 n #s(literal 6 binary64)) (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(-.f64 (/.f64 (pow.f64 f #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))) (/.f64 (pow.f64 n #s(literal 9 binary64)) (*.f64 (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (fma.f64 n n (*.f64 f f))) (+.f64 n f)) (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (fma.f64 n n (*.f64 f f))) (+.f64 n f)))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (fma.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)) (pow.f64 f #s(literal 4 binary64)))) (+.f64 n f)) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (fma.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)) (pow.f64 f #s(literal 4 binary64)))) (+.f64 n f)))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))) (/.f64 (/.f64 (pow.f64 n #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (/.f64 (pow.f64 n #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f))))
(-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))
(-.f64 (neg.f64 f) (neg.f64 n))
(-.f64 f n)
(+.f64 (*.f64 (*.f64 (-.f64 n f) n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (*.f64 (*.f64 f f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 f f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 n f) n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (-.f64 n f) n)) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 f f)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 f f)) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (-.f64 n f) n)))
(+.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))))

eval121.0ms (2.4%)

Memory
-29.4MiB live, 163.4MiB allocated; 26ms collecting garbage
Compiler

Compiled 20 897 to 1 966 computations (90.6% saved)

prune27.0ms (0.6%)

Memory
-14.1MiB live, 46.1MiB allocated; 23ms collecting garbage
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New6499658
Fresh000
Picked011
Done000
Total64910659
Accuracy
100.0%
Counts
659 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (fma.f64 (neg.f64 f) (/.f64 f (-.f64 f n)) (*.f64 n (/.f64 n (-.f64 f n)))) (-.f64 f n))
99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f)))))
99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
90.4%
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)))
86.3%
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
50.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
50.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
50.7%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
49.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
49.2%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 262 to 172 computations (34.4% saved)

simplify115.0ms (2.3%)

Memory
8.2MiB live, 96.7MiB allocated; 14ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n))
cost-diff0
(+.f64 f n)
cost-diff0
(neg.f64 (+.f64 f n))
cost-diff0
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)))
cost-diff0
(/.f64 #s(literal 2 binary64) n)
cost-diff0
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
cost-diff0
(-.f64 f n)
cost-diff0
(neg.f64 f)
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 f))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
cost-diff0
(+.f64 f n)
cost-diff0
(neg.f64 (+.f64 f n))
cost-diff1
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f)))))
cost-diff10
(-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f))))
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
031187
051187
180187
2134181
3239179
4422178
5813178
62136166
08284166
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f)))))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
(-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f))))
(*.f64 f (/.f64 f (+.f64 n f)))
(/.f64 f (+.f64 n f))
(+.f64 n f)
(*.f64 n (/.f64 n (+.f64 n f)))
(/.f64 n (+.f64 n f))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
#s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(-.f64 (/.f64 f n) #s(literal 1 binary64))
(/.f64 f n)
#s(literal 1 binary64)
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
(-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f))))
(*.f64 (-.f64 f n) #s(literal 1 binary64))
(*.f64 f (/.f64 f (+.f64 n f)))
(*.f64 (/.f64 f (+.f64 n f)) f)
(/.f64 f (+.f64 n f))
(+.f64 n f)
(*.f64 n (/.f64 n (+.f64 n f)))
(*.f64 (/.f64 n (+.f64 n f)) n)
(/.f64 n (+.f64 n f))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)))
(/.f64 (neg.f64 (+.f64 n f)) #s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
#s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(-.f64 (/.f64 f n) #s(literal 1 binary64))
(/.f64 f n)
#s(literal 1 binary64)

localize128.0ms (2.6%)

Memory
9.5MiB live, 110.1MiB allocated; 24ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n))
accuracy0.01171875
(-.f64 (/.f64 f n) #s(literal 1 binary64))
accuracy0.037441259768442016
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)))
accuracy5.873595030407796
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
accuracy0.0
(/.f64 #s(literal 2 binary64) n)
accuracy0.109375
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
accuracy31.55663531153544
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
accuracy0.0
(-.f64 f n)
accuracy0.0
(neg.f64 f)
accuracy0.037441259768442016
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy31.887346463864013
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy32.540992255444536
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0.02734375
(/.f64 n (+.f64 n f))
accuracy0.037441259768442016
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f)))))
accuracy0.06640625
(*.f64 f (/.f64 f (+.f64 n f)))
accuracy0.1015625
(*.f64 n (/.f64 n (+.f64 n f)))
Samples
46.0ms256×0valid
Compiler

Compiled 159 to 25 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 10.0ms (38.3% of total)
ival-mult: 6.0ms (23% of total)
ival-add: 4.0ms (15.3% of total)
ival-sub: 3.0ms (11.5% of total)
ival-neg: 2.0ms (7.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.4%)

Memory
20.7MiB live, 20.7MiB allocated; 0ms collecting garbage
Counts
19 → 114
Calls
Call 1
Inputs
(-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f))))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f)))))
(neg.f64 (+.f64 f 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)
(-.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 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)))
#s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n))
(*.f64 n (/.f64 n (+.f64 n f)))
(*.f64 f (/.f64 f (+.f64 n f)))
(/.f64 n (+.f64 n f))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(-.f64 (/.f64 f n) #s(literal 1 binary64))
Outputs
(* -1 n)
(- f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(- (* -1 f) n)
n
(+ f n)
(* -1 f)
(+ n (* -1 f))
(+ n (* f (- (/ f n) 1)))
(+ n (* f (- (* f (+ (* -1 (/ f (pow n 2))) (/ 1 n))) 1)))
(/ (pow f 2) n)
(* (pow f 2) (+ (* -1 (/ f (pow n 2))) (/ 1 n)))
(* (pow f 2) (+ (* f (- (/ f (pow n 3)) (/ 1 (pow n 2)))) (/ 1 n)))
(* (pow f 2) (+ (* f (- (* f (+ (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(+ 1 (* -1 (/ f n)))
(+ 1 (* f (- (/ f (pow n 2)) (/ 1 n))))
(+ 1 (* f (- (* f (+ (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))))
(+ f (* -1 n))
-1
(- (/ f n) 1)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (- (+ 1 (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2)))) (/ n f)))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) (pow f 3))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (+ (* -1 (/ (- n (* -1 n)) f)) (/ (* n (+ (* -1 (* n (- n (* -1 n)))) (* -1 (+ (* -1 (pow n 2)) (pow n 2))))) (pow f 3)))))) 1)
(* f (- (* -1 (/ n f)) 1))
(* f (+ 1 (/ n f)))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(/ (pow n 2) f)
(/ (+ (* -1 (/ (pow n 3) f)) (pow n 2)) f)
(/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (/ (pow n 3) f)) f)
(/ (- (+ (* -1 (/ (pow n 5) (pow f 3))) (pow n 2)) (+ (* -1 (/ (pow n 4) (pow f 2))) (/ (pow n 3) f))) f)
(* f (- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f)))
(* f (- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ n f))))
(/ n f)
(/ (+ n (* -1 (/ (pow n 2) f))) f)
(/ (- (+ n (/ (pow n 3) (pow f 2))) (/ (pow n 2) f)) f)
(/ (- (+ n (* -1 (/ (pow n 4) (pow f 3)))) (+ (* -1 (/ (pow n 3) (pow f 2))) (/ (pow n 2) f))) f)
(/ f n)
(* f (- (/ 1 n) (/ 1 f)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (/ (pow n 2) f)) n) f)) 1)))
(- (* -1 (/ (- (+ n (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) f)) (/ (* n (- n (* -1 n))) f))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -1 (/ (* n (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f)) (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) f)) (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f))) (* -1 n)) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* -1 (/ (+ (* -1 (pow n 2)) (/ (pow n 3) f)) f))
(* -1 (/ (+ (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow n 5) f) (pow n 4)) f)) (pow n 3)) f)) (* -1 (pow n 2))) f))
(* -1 (* f (- (* -1 (/ (- (/ (pow n 2) f) n) f)) 1)))
(* -1 (* f (- (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f)) n) f)) 1)))
(* -1 (/ (+ (* -1 n) (/ (pow n 2) f)) f))
(* -1 (/ (+ (* -1 n) (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f))) f))
(* -1 (/ (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (pow n 2)) f))) f))
(* -1 (* f (- (/ 1 f) (/ 1 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 n) f)
(/ (+ n (* 2 f)) n)
(/ 2 n)
(* (pow n 2) (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(* (pow n 2) (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f)))
(* (pow n 2) (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(+ f (* n (- (/ n f) 1)))
(+ f (* n (- (* n (+ (* -1 (/ n (pow f 2))) (/ 1 f))) 1)))
(* n (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (+ (* n (- (/ 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)) n)
(* n (- (/ f n) 1))
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ (pow f 2) (pow n 2))))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) (pow n 3))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ (* f (+ (* -1 (* f (- (* -1 f) f))) (+ (* -1 (pow f 2)) (pow f 2)))) (pow n 3)) (/ (pow f 2) (pow n 2))))))))
(* n (- (* -1 (/ f n)) 1))
(* n (+ 1 (/ 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 (* -1 (/ f n))))
(* n (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)))
(* n (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))))
(/ (+ (* -1 (/ (pow f 3) n)) (pow f 2)) n)
(/ (- (+ (/ (pow f 4) (pow n 2)) (pow f 2)) (/ (pow f 3) n)) n)
(/ (- (+ (* -1 (/ (pow f 5) (pow n 3))) (pow f 2)) (+ (* -1 (/ (pow f 4) (pow n 2))) (/ (pow f 3) n))) n)
(- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n))
(- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ (+ f (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) n)))))
(+ 1 (* -1 (/ (- (+ (* -1 f) (+ (* -1 (/ (pow f 2) n)) (+ (/ (* f (- (* -1 f) f)) n) (/ (pow f 2) n)))) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (* f (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n)) (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) n)) (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (- (* -1 (/ 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 (- (/ f n) 1)))
(* -1 (* n (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1)))
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1)))
(* -1 (/ (+ (* -1 (pow f 2)) (/ (pow f 3) n)) n))
(* -1 (/ (+ (* -1 (/ (- (/ (pow f 4) n) (pow f 3)) n)) (* -1 (pow f 2))) n))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow f 5) n) (pow f 4)) n)) (pow f 3)) n)) (* -1 (pow f 2))) n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) (* -1 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)) (* -1 f)) n)))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
n
@-inf
((- (* f (/ f (+ n f))) (* n (/ n (+ n f)))) (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) (neg (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (- f n) (* n (/ n (+ n f))) (* f (/ f (+ n f))) (/ n (+ n f)) (* (- (/ f n) 1) n) (- (/ f n) 1))
3.0ms
f
@-inf
((- (* f (/ f (+ n f))) (* n (/ n (+ n f)))) (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) (neg (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (- f n) (* n (/ n (+ n f))) (* f (/ f (+ n f))) (/ n (+ n f)) (* (- (/ f n) 1) n) (- (/ f n) 1))
3.0ms
n
@inf
((- (* f (/ f (+ n f))) (* n (/ n (+ n f)))) (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) (neg (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (- f n) (* n (/ n (+ n f))) (* f (/ f (+ n f))) (/ n (+ n f)) (* (- (/ f n) 1) n) (- (/ f n) 1))
3.0ms
f
@inf
((- (* f (/ f (+ n f))) (* n (/ n (+ n f)))) (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) (neg (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (- f n) (* n (/ n (+ n f))) (* f (/ f (+ n f))) (/ n (+ n f)) (* (- (/ f n) 1) n) (- (/ f n) 1))
3.0ms
f
@0
((- (* f (/ f (+ n f))) (* n (/ n (+ n f)))) (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) (neg (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (neg (+ f n)) (- f n)) (- f n) (* n (/ n (+ n f))) (* f (/ f (+ n f))) (/ n (+ n f)) (* (- (/ f n) 1) n) (- (/ f n) 1))

simplify208.0ms (4.2%)

Memory
-22.3MiB live, 168.1MiB allocated; 22ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04901866
115971569
256781518
082001459
Stop Event
iter limit
node limit
Counts
114 → 112
Calls
Call 1
Inputs
(* -1 n)
(- f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(- (* -1 f) n)
n
(+ f n)
(* -1 f)
(+ n (* -1 f))
(+ n (* f (- (/ f n) 1)))
(+ n (* f (- (* f (+ (* -1 (/ f (pow n 2))) (/ 1 n))) 1)))
(/ (pow f 2) n)
(* (pow f 2) (+ (* -1 (/ f (pow n 2))) (/ 1 n)))
(* (pow f 2) (+ (* f (- (/ f (pow n 3)) (/ 1 (pow n 2)))) (/ 1 n)))
(* (pow f 2) (+ (* f (- (* f (+ (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(+ 1 (* -1 (/ f n)))
(+ 1 (* f (- (/ f (pow n 2)) (/ 1 n))))
(+ 1 (* f (- (* f (+ (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))))
(+ f (* -1 n))
-1
(- (/ f n) 1)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (- (+ 1 (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2)))) (/ n f)))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) (pow f 3))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (+ (* -1 (/ (- n (* -1 n)) f)) (/ (* n (+ (* -1 (* n (- n (* -1 n)))) (* -1 (+ (* -1 (pow n 2)) (pow n 2))))) (pow f 3)))))) 1)
(* f (- (* -1 (/ n f)) 1))
(* f (+ 1 (/ n f)))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(/ (pow n 2) f)
(/ (+ (* -1 (/ (pow n 3) f)) (pow n 2)) f)
(/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (/ (pow n 3) f)) f)
(/ (- (+ (* -1 (/ (pow n 5) (pow f 3))) (pow n 2)) (+ (* -1 (/ (pow n 4) (pow f 2))) (/ (pow n 3) f))) f)
(* f (- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f)))
(* f (- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ n f))))
(/ n f)
(/ (+ n (* -1 (/ (pow n 2) f))) f)
(/ (- (+ n (/ (pow n 3) (pow f 2))) (/ (pow n 2) f)) f)
(/ (- (+ n (* -1 (/ (pow n 4) (pow f 3)))) (+ (* -1 (/ (pow n 3) (pow f 2))) (/ (pow n 2) f))) f)
(/ f n)
(* f (- (/ 1 n) (/ 1 f)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (/ (pow n 2) f)) n) f)) 1)))
(- (* -1 (/ (- (+ n (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) f)) (/ (* n (- n (* -1 n))) f))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -1 (/ (* n (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f)) (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) f)) (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f))) (* -1 n)) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* -1 (/ (+ (* -1 (pow n 2)) (/ (pow n 3) f)) f))
(* -1 (/ (+ (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow n 5) f) (pow n 4)) f)) (pow n 3)) f)) (* -1 (pow n 2))) f))
(* -1 (* f (- (* -1 (/ (- (/ (pow n 2) f) n) f)) 1)))
(* -1 (* f (- (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f)) n) f)) 1)))
(* -1 (/ (+ (* -1 n) (/ (pow n 2) f)) f))
(* -1 (/ (+ (* -1 n) (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f))) f))
(* -1 (/ (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (pow n 2)) f))) f))
(* -1 (* f (- (/ 1 f) (/ 1 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 n) f)
(/ (+ n (* 2 f)) n)
(/ 2 n)
(* (pow n 2) (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(* (pow n 2) (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f)))
(* (pow n 2) (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(+ f (* n (- (/ n f) 1)))
(+ f (* n (- (* n (+ (* -1 (/ n (pow f 2))) (/ 1 f))) 1)))
(* n (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (+ (* n (- (/ 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)) n)
(* n (- (/ f n) 1))
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ (pow f 2) (pow n 2))))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) (pow n 3))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ (* f (+ (* -1 (* f (- (* -1 f) f))) (+ (* -1 (pow f 2)) (pow f 2)))) (pow n 3)) (/ (pow f 2) (pow n 2))))))))
(* n (- (* -1 (/ f n)) 1))
(* n (+ 1 (/ 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 (* -1 (/ f n))))
(* n (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)))
(* n (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))))
(/ (+ (* -1 (/ (pow f 3) n)) (pow f 2)) n)
(/ (- (+ (/ (pow f 4) (pow n 2)) (pow f 2)) (/ (pow f 3) n)) n)
(/ (- (+ (* -1 (/ (pow f 5) (pow n 3))) (pow f 2)) (+ (* -1 (/ (pow f 4) (pow n 2))) (/ (pow f 3) n))) n)
(- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n))
(- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ (+ f (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) n)))))
(+ 1 (* -1 (/ (- (+ (* -1 f) (+ (* -1 (/ (pow f 2) n)) (+ (/ (* f (- (* -1 f) f)) n) (/ (pow f 2) n)))) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (* f (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n)) (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) n)) (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (- (* -1 (/ 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 (- (/ f n) 1)))
(* -1 (* n (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1)))
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1)))
(* -1 (/ (+ (* -1 (pow f 2)) (/ (pow f 3) n)) n))
(* -1 (/ (+ (* -1 (/ (- (/ (pow f 4) n) (pow f 3)) n)) (* -1 (pow f 2))) n))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow f 5) n) (pow f 4)) n)) (pow f 3)) n)) (* -1 (pow f 2))) n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) (* -1 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)) (* -1 f)) n)))
Outputs
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
n
(+ f n)
(+.f64 n f)
(* -1 f)
(neg.f64 f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* f (- (/ f n) 1)))
(fma.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) f n)
(+ n (* f (- (* f (+ (* -1 (/ f (pow n 2))) (/ 1 n))) 1)))
(fma.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 f) n) f (-.f64 f n)) n) f n)
(/ (pow f 2) n)
(*.f64 (/.f64 f n) f)
(* (pow f 2) (+ (* -1 (/ f (pow n 2))) (/ 1 n)))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) f) f)
(* (pow f 2) (+ (* f (- (/ f (pow n 3)) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (-.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)) f (/.f64 #s(literal 1 binary64) n)) (*.f64 f f))
(* (pow f 2) (+ (* f (- (* f (+ (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 f) (pow.f64 n #s(literal 4 binary64))) f (-.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) n) n))) f (/.f64 #s(literal 1 binary64) n)) (*.f64 f f))
(+ 1 (* -1 (/ f n)))
(-.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* f (- (/ f (pow n 2)) (/ 1 n))))
(fma.f64 (-.f64 (/.f64 (/.f64 f n) n) (/.f64 #s(literal 1 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* f (- (* f (+ (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))))
(fma.f64 (-.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)) f) (/.f64 #s(literal 1 binary64) n)) f #s(literal 1 binary64))
(+ f (* -1 n))
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (/ f n) 1)
(-.f64 (/.f64 f n) #s(literal 1 binary64))
f
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(* f (- (+ 1 (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2)))) (/ n f)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 (/.f64 n f) f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) (pow f 3))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (+ (* -1 (/ (- n (* -1 n)) f)) (/ (* n (+ (* -1 (* n (- n (* -1 n)))) (* -1 (+ (* -1 (pow n 2)) (pow n 2))))) (pow f 3)))))) 1)
(-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 (/.f64 n f) f) (fma.f64 (*.f64 #s(literal -2 binary64) n) #s(literal 0 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) n) n #s(literal 0 binary64)) (/.f64 n (pow.f64 f #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal 0 binary64))))) #s(literal 1 binary64))
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 n) f) #s(literal 1 binary64)) f)
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) n) f)) 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)
(-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 (*.f64 n n) (pow.f64 f #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) n) f)) f)) #s(literal 1 binary64))
(* 2 (/ f n))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/ (pow n 2) f)
(*.f64 (/.f64 n f) n)
(/ (+ (* -1 (/ (pow n 3) f)) (pow n 2)) f)
(*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 n) f) n n) f) n)
(/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (/ (pow n 3) f)) f)
(/.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)
(/ (- (+ (* -1 (/ (pow n 5) (pow f 3))) (pow n 2)) (+ (* -1 (/ (pow n 4) (pow f 2))) (/ (pow n 3) f))) f)
(/.f64 (-.f64 (fma.f64 n n (/.f64 (pow.f64 n #s(literal 5 binary64)) (pow.f64 (neg.f64 f) #s(literal 3 binary64)))) (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (/.f64 (neg.f64 (pow.f64 n #s(literal 4 binary64))) f)) f)) f)
(* f (- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f)))
(+.f64 f (*.f64 (/.f64 (fma.f64 (/.f64 n f) n (neg.f64 n)) f) f))
(* f (- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ n f))))
(*.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 (neg.f64 n) f) n n) f)) f)
(/ n f)
(/.f64 n f)
(/ (+ n (* -1 (/ (pow n 2) f))) f)
(/.f64 (fma.f64 (/.f64 (neg.f64 n) f) n n) f)
(/ (- (+ n (/ (pow n 3) (pow f 2))) (/ (pow n 2) f)) f)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 n) n (/.f64 (pow.f64 n #s(literal 3 binary64)) f)) f) n) f)
(/ (- (+ n (* -1 (/ (pow n 4) (pow f 3)))) (+ (* -1 (/ (pow n 3) (pow f 2))) (/ (pow n 2) f))) f)
(/.f64 (-.f64 n (/.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)) f)
(/ f n)
(/.f64 f n)
(* f (- (/ 1 n) (/ 1 f)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) f)) f)
(* -1 (* f (- (/ n f) 1)))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) (neg.f64 f))
(* -1 (* f (- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (/ (pow n 2) f)) n) f)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (neg.f64 f)) #s(literal 1 binary64)) (neg.f64 f))
(- (* -1 (/ (- (+ n (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) f)) (/ (* n (- n (* -1 n))) f))) (* -1 n)) f)) 1)
(-.f64 (/.f64 (+.f64 (+.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) f) n #s(literal 0 binary64)) n) n) (neg.f64 f)) #s(literal 1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -1 (/ (* n (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f)) (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) f)) (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f))) (* -1 n)) f)) 1)
(-.f64 (/.f64 (+.f64 (-.f64 n (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) n) #s(literal 0 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) n) n #s(literal 0 binary64)) (/.f64 n f))) (fma.f64 (*.f64 #s(literal 2 binary64) n) n #s(literal 0 binary64))) f)) n) (neg.f64 f)) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(neg.f64 (fma.f64 (/.f64 n f) f f))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 n) f) #s(literal 1 binary64)) (neg.f64 f))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 (/.f64 (-.f64 (neg.f64 n) n) f) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 n) n) f) n (-.f64 (neg.f64 n) 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 (-.f64 (neg.f64 (-.f64 (neg.f64 n) n)) (/.f64 (fma.f64 (-.f64 (neg.f64 n) n) n (*.f64 n (/.f64 (*.f64 (-.f64 (neg.f64 n) n) n) f))) f)) (neg.f64 f)) #s(literal 1 binary64))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(* -1 (/ (+ (* -1 (pow n 2)) (/ (pow n 3) f)) f))
(*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 n) f) n n) f) n)
(* -1 (/ (+ (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f))
(/.f64 (-.f64 (*.f64 n n) (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (pow.f64 n #s(literal 3 binary64))) (neg.f64 f))) f)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow n 5) f) (pow n 4)) f)) (pow n 3)) f)) (* -1 (pow n 2))) f))
(/.f64 (-.f64 (*.f64 n n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 5 binary64)) f) (pow.f64 n #s(literal 4 binary64))) (neg.f64 f)) (pow.f64 n #s(literal 3 binary64))) (neg.f64 f))) f)
(* -1 (* f (- (* -1 (/ (- (/ (pow n 2) f) n) f)) 1)))
(*.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 n) f) n n) f) #s(literal 1 binary64))) f)
(* -1 (* f (- (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f)) n) f)) 1)))
(*.f64 (-.f64 (/.f64 (-.f64 n (*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 n) f) n n) f) n)) f) #s(literal 1 binary64)) (neg.f64 f))
(* -1 (/ (+ (* -1 n) (/ (pow n 2) f)) f))
(/.f64 (fma.f64 (/.f64 (neg.f64 n) f) n n) f)
(* -1 (/ (+ (* -1 n) (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f))) f))
(/.f64 (-.f64 n (*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 n) f) n n) f) n)) f)
(* -1 (/ (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (pow n 2)) f))) f))
(/.f64 (-.f64 n (/.f64 (-.f64 (*.f64 n n) (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (pow.f64 n #s(literal 3 binary64))) (neg.f64 f))) f)) f)
(* -1 (* f (- (/ 1 f) (/ 1 n))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)) (neg.f64 f))
(- (* -2 (/ n f)) 1)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) f) n) #s(literal 1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 n f) #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 n) f)
(/ (+ n (* 2 f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(* (pow n 2) (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 n) f) n n) f) n)
(* (pow n 2) (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (-.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) f) f)) n (/.f64 #s(literal 1 binary64) f)) (*.f64 n n))
(* (pow n 2) (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (fma.f64 (/.f64 (neg.f64 n) (pow.f64 f #s(literal 4 binary64))) n (-.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) f) f))) n (/.f64 #s(literal 1 binary64) f)) (*.f64 n n))
(+ f (* n (- (/ n f) 1)))
(fma.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) n f)
(+ f (* n (- (* n (+ (* -1 (/ n (pow f 2))) (/ 1 f))) 1)))
(fma.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 n) f) n n) f) #s(literal 1 binary64)) n f)
(* n (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(/.f64 (fma.f64 (/.f64 (neg.f64 n) f) n n) f)
(* n (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f)))
(fma.f64 (-.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) f) f)) (*.f64 n n) (/.f64 n f))
(* n (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(fma.f64 (fma.f64 (/.f64 (neg.f64 n) (pow.f64 f #s(literal 4 binary64))) n (-.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) f) f))) (*.f64 n n) (/.f64 n f))
(/ (+ f (* -1 n)) n)
(-.f64 (/.f64 f n) #s(literal 1 binary64))
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1))
(*.f64 (-.f64 (-.f64 (/.f64 f n) #s(literal 0 binary64)) #s(literal 1 binary64)) n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 f) f) n))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ (pow f 2) (pow n 2))))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 f) f) n) f (-.f64 (neg.f64 f) f)) n))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) (pow n 3))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ (* f (+ (* -1 (* f (- (* -1 f) f))) (+ (* -1 (pow f 2)) (pow f 2)))) (pow n 3)) (/ (pow f 2) (pow n 2))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 f) f) n) f (*.f64 #s(literal 0 binary64) (-.f64 (neg.f64 f) f))) n) (+.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 f) f) (neg.f64 f) #s(literal 0 binary64)) (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 f) f) n)) #s(literal 1 binary64)))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) n)
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 f) f) n) f (-.f64 (neg.f64 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)))))
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 f) f) n) f (-.f64 (neg.f64 f) f)) n)) (/.f64 (*.f64 (*.f64 (-.f64 (neg.f64 f) f) f) f) (pow.f64 n #s(literal 3 binary64))))
(* n (+ 1 (* -1 (/ f n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* n (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)))
(*.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) (neg.f64 f) #s(literal 1 binary64)) n)
(* n (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 f n) f) f) n) f f) n)) n)
(/ (+ (* -1 (/ (pow f 3) n)) (pow f 2)) n)
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) f) f)
(/ (- (+ (/ (pow f 4) (pow n 2)) (pow f 2)) (/ (pow f 3) n)) n)
(/.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)
(/ (- (+ (* -1 (/ (pow f 5) (pow n 3))) (pow f 2)) (+ (* -1 (/ (pow f 4) (pow n 2))) (/ (pow f 3) n))) n)
(/.f64 (-.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 5 binary64)) (pow.f64 (neg.f64 n) #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (neg.f64 (pow.f64 f #s(literal 4 binary64))) n) (pow.f64 f #s(literal 3 binary64))) n)) n)
(- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) (neg.f64 f) #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 f n) f) f) n) f f) n))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(fma.f64 (/.f64 f n) n (neg.f64 n))
(* -1 (* n (+ 1 (* -1 (/ (+ f (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) n)))))
(fma.f64 (-.f64 (/.f64 f n) #s(literal 0 binary64)) n (neg.f64 n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (+ (* -1 (/ (pow f 2) n)) (+ (/ (* f (- (* -1 f) f)) n) (/ (pow f 2) n)))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 f) f) f #s(literal 0 binary64)) n) f) f) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (* f (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n)) (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) n)) (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (-.f64 (neg.f64 f) f) (*.f64 (fma.f64 (-.f64 (neg.f64 f) f) f #s(literal 0 binary64)) (neg.f64 f))) n) (fma.f64 (-.f64 (neg.f64 f) f) f #s(literal 0 binary64))) n) f)) f) n))
(* -1 (* n (+ 1 (/ f n))))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) (neg.f64 n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 f) f) n) f (-.f64 (neg.f64 f) f)) n))
(+ 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 (-.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 f (*.f64 (/.f64 (-.f64 (neg.f64 f) f) n) f) (*.f64 (-.f64 (neg.f64 f) f) f))) n) f)) f) n))
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) (neg.f64 n))
(* -1 (* n (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1)))
(*.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 f) n) f (-.f64 f n)) n) (neg.f64 n))
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1)))
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 f n) f) f) n) f f) n) #s(literal 1 binary64)) (neg.f64 n))
(* -1 (/ (+ (* -1 (pow f 2)) (/ (pow f 3) n)) n))
(*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) f) f)
(* -1 (/ (+ (* -1 (/ (- (/ (pow f 4) n) (pow f 3)) n)) (* -1 (pow f 2))) n))
(/.f64 (-.f64 (*.f64 f f) (/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) (pow.f64 f #s(literal 3 binary64))) (neg.f64 n))) n)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow f 5) n) (pow f 4)) n)) (pow f 3)) n)) (* -1 (pow f 2))) n))
(/.f64 (-.f64 (*.f64 f f) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 5 binary64)) n) (pow.f64 f #s(literal 4 binary64))) (neg.f64 n)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 n))) n)
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) (* -1 f)) n)))
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) (neg.f64 f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)) (* -1 f)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 f n) f) f) n) f f) n))

rewrite213.0ms (4.3%)

Memory
28.5MiB live, 262.5MiB allocated; 29ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
031157
051169
1157133
2963130
08968130
Stop Event
iter limit
node limit
iter limit
Counts
19 → 729
Calls
Call 1
Inputs
(-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f))))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f)))))
(neg.f64 (+.f64 f 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)
(-.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 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)))
#s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n))
(*.f64 n (/.f64 n (+.f64 n f)))
(*.f64 f (/.f64 f (+.f64 n f)))
(/.f64 n (+.f64 n f))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(-.f64 (/.f64 f n) #s(literal 1 binary64))
Outputs
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (-.f64 n f))
(*.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))))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(*.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))))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (/.f64 (-.f64 f n) (+.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (-.f64 f n) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (-.f64 n f))
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(*.f64 (fma.f64 n n (*.f64 f (-.f64 f n))) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))
(*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))
(*.f64 (-.f64 n f) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f))))
(*.f64 #s(literal 1 binary64) (-.f64 f n))
(*.f64 (-.f64 f n) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))) (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f)))) (*.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))) (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))))) (+.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))) (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f)))))
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64)))))) (*.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))))) (+.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f)))) (*.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))))) (+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64)))) (-.f64 (*.f64 (neg.f64 n) (/.f64 n (+.f64 n f))) (/.f64 (*.f64 f f) (+.f64 n f))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))) (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))) (fma.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))) (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))) (*.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f))) (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))) (fma.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))) (*.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))))) (/.f64 (/.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64))) (+.f64 (/.f64 (+.f64 (pow.f64 (*.f64 n f) #s(literal 2 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 n) (/.f64 n (+.f64 n f))) #s(literal 3 binary64)) (/.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 (+.f64 n f) #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (*.f64 (*.f64 (neg.f64 n) (/.f64 n (+.f64 n f))) (/.f64 (*.f64 f f) (+.f64 n f))))))
(/.f64 (neg.f64 (*.f64 (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f)) (-.f64 n f))) (/.f64 (fma.f64 n n (*.f64 f f)) (+.f64 n f)))
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(fma.f64 (*.f64 n (-.f64 n f)) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (*.f64 f f) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(fma.f64 (*.f64 n n) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (*.f64 f (-.f64 f n)) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(fma.f64 (*.f64 f f) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (*.f64 n (-.f64 n f)) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(fma.f64 (/.f64 (*.f64 f f) (+.f64 n f)) (/.f64 n (fma.f64 (neg.f64 n) n (*.f64 f f))) (*.f64 (*.f64 (neg.f64 n) (/.f64 n (+.f64 n f))) (/.f64 n (fma.f64 (neg.f64 n) n (*.f64 f f)))))
(+.f64 (*.f64 (*.f64 (neg.f64 n) (/.f64 n (+.f64 n f))) (/.f64 n (fma.f64 (neg.f64 n) n (*.f64 f f)))) (*.f64 (/.f64 (*.f64 f f) (+.f64 n f)) (/.f64 n (fma.f64 (neg.f64 n) n (*.f64 f f)))))
(+.f64 (*.f64 (/.f64 (*.f64 f f) (+.f64 n f)) (/.f64 n (fma.f64 (neg.f64 n) n (*.f64 f f)))) (*.f64 (*.f64 (neg.f64 n) (/.f64 n (+.f64 n f))) (/.f64 n (fma.f64 (neg.f64 n) n (*.f64 f f)))))
(+.f64 (*.f64 (*.f64 f (-.f64 f n)) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 n n) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 n n) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f (-.f64 f n)) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 n (-.f64 n f)) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f f) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 f f) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 n (-.f64 n f)) (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 n (fma.f64 (neg.f64 n) n (*.f64 f f))) (*.f64 (neg.f64 n) (/.f64 n (+.f64 n f)))) (*.f64 (/.f64 n (fma.f64 (neg.f64 n) n (*.f64 f f))) (/.f64 (*.f64 f f) (+.f64 n f))))
(+.f64 (*.f64 (/.f64 n (fma.f64 (neg.f64 n) n (*.f64 f f))) (/.f64 (*.f64 f f) (+.f64 n f))) (*.f64 (/.f64 n (fma.f64 (neg.f64 n) n (*.f64 f f))) (*.f64 (neg.f64 n) (/.f64 n (+.f64 n f)))))
(+.f64 (*.f64 (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f (-.f64 f n))) (*.f64 (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n)) (*.f64 (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f (-.f64 f n))))
(+.f64 (*.f64 (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n (-.f64 n f))) (*.f64 (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)) (*.f64 (/.f64 n (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n (-.f64 n f))))
(*.f64 (/.f64 n (+.f64 (/.f64 f n) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 n #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(*.f64 n (-.f64 (/.f64 f n) #s(literal 1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) n)) (fma.f64 (/.f64 f n) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)) n)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))))
(/.f64 (neg.f64 (*.f64 n (-.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (/.f64 f n) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 n (-.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) n) (+.f64 (/.f64 f n) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)) n) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)))
(/.f64 (*.f64 n (-.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 f n) #s(literal 1 binary64)))
(/.f64 (*.f64 n (-.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)))
(*.f64 (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (+.f64 (/.f64 f n) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (+.f64 (/.f64 f n) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (+.f64 (/.f64 f n) #s(literal 1 binary64)))) (*.f64 (pow.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (+.f64 (/.f64 f n) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))) (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)))) (*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (+.f64 (/.f64 f n) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (+.f64 (/.f64 f n) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (+.f64 (/.f64 f n) #s(literal 1 binary64))) (fma.f64 (pow.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (+.f64 (/.f64 f n) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))) (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))) (fma.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 f n) #s(literal -1 binary64) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (+.f64 (/.f64 f n) #s(literal 1 binary64))) (+.f64 (/.f64 f n) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)) #s(literal 1 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 f n) #s(literal -1 binary64) #s(literal -1 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))))
(/.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 f n) #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))) (+.f64 (/.f64 f n) #s(literal 1 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 f n) #s(literal -1 binary64) #s(literal -1 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)))))
(-.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (+.f64 (/.f64 f n) #s(literal 1 binary64))) (pow.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n))) (pow.f64 (+.f64 (+.f64 (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f n)) #s(literal -1 binary64)))
(-.f64 (/.f64 f n) #s(literal 1 binary64))

eval204.0ms (4.1%)

Memory
-32.6MiB live, 246.4MiB allocated; 41ms collecting garbage
Compiler

Compiled 31 823 to 2 706 computations (91.5% saved)

prune23.0ms (0.5%)

Memory
3.9MiB live, 59.2MiB allocated; 12ms collecting garbage
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New8294833
Fresh314
Picked145
Done101
Total8349843
Accuracy
100.0%
Counts
843 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
90.4%
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)))
50.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
50.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
100.0%
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
49.5%
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #s(literal 1 binary64))
50.7%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
49.2%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 186 to 122 computations (34.4% saved)

simplify94.0ms (1.9%)

Memory
1.9MiB live, 135.2MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 n n)
cost-diff0
(neg.f64 f)
cost-diff0
(fma.f64 (neg.f64 f) f (*.f64 n n))
cost-diff7
(/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
cost-diff0
(-.f64 n f)
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 (+.f64 n f) (-.f64 n f))
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 (/ f (+ n f))) (* n (/ n (+ n f))))) #s(literal 1 binary64))
cost-diff0
(/.f64 f (-.f64 n f))
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 n (-.f64 n f))
cost-diff4
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029140
045136
178136
2198133
3698130
42008124
55087124
08168124
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f
(/.f64 f (-.f64 n f))
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
(/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
(fma.f64 (neg.f64 f) f (*.f64 n n))
(neg.f64 f)
f
(*.f64 n n)
n
(neg.f64 (*.f64 (-.f64 n f) (-.f64 f n)))
(*.f64 (-.f64 n f) (-.f64 f n))
(-.f64 n f)
(-.f64 f n)
Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f
(/.f64 f (-.f64 n f))
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 n f)
(+.f64 f n)
n
f
(-.f64 n f)
(/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 f n))
(fma.f64 (neg.f64 f) f (*.f64 n n))
(neg.f64 f)
f
(*.f64 n n)
n
(neg.f64 (*.f64 (-.f64 n f) (-.f64 f n)))
(*.f64 (neg.f64 (-.f64 f n)) (-.f64 n f))
(*.f64 (-.f64 n f) (-.f64 f n))
(*.f64 (-.f64 f n) (-.f64 n f))
(-.f64 n f)
(-.f64 f n)

localize81.0ms (1.6%)

Memory
27.0MiB live, 81.5MiB allocated; 15ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(neg.f64 f)
accuracy0.0078125
(*.f64 (-.f64 n f) (-.f64 f n))
accuracy1.253892488027801
(fma.f64 (neg.f64 f) f (*.f64 n n))
accuracy29.453512550951793
(/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
accuracy0.0
(-.f64 n f)
accuracy0.0
(+.f64 n f)
accuracy0.037441259768442016
(/.f64 (+.f64 n f) (-.f64 n f))
accuracy0.0
(-.f64 f n)
accuracy0.0
(neg.f64 n)
accuracy0.037441259768442016
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy31.69602436879106
#s(approx (neg (+ f n)) (neg.f64 n))
accuracy32.33578519466408
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #s(literal 1 binary64))
accuracy0.0
(-.f64 n f)
accuracy0.01171875
(/.f64 n (-.f64 n f))
accuracy0.01953125
(/.f64 f (-.f64 n f))
accuracy0.0234375
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
Samples
65.0ms256×0valid
Compiler

Compiled 136 to 29 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 51.0ms
ival-div: 20.0ms (39.1% of total)
ival-sub: 15.0ms (29.3% of total)
ival-mult: 8.0ms (15.6% of total)
ival-add: 4.0ms (7.8% of total)
ival-neg: 4.0ms (7.8% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series38.0ms (0.8%)

Memory
-34.1MiB live, 13.5MiB allocated; 4ms collecting garbage
Counts
16 → 129
Calls
Call 1
Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 n (-.f64 n f))
(-.f64 n f)
(/.f64 f (-.f64 n f))
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #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)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
(fma.f64 (neg.f64 f) f (*.f64 n n))
(neg.f64 f)
(*.f64 n n)
(*.f64 (-.f64 n 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))))
n
(+ n (* -1 f))
(/ f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
(* -1 n)
(- (* -1 f) n)
(- f n)
(+ f n)
(pow n 2)
(+ (* -1 (pow f 2)) (pow n 2))
(* -1 f)
(* -1 (pow n 2))
(+ (* -1 (pow n 2)) (* 2 (* f n)))
(+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))
(* -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)
(* f (- (/ n f) 1))
(- (* -1 (/ n f)) 1)
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) (pow f 3))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (+ (* -1 (/ (- n (* -1 n)) f)) (/ (* n (+ (* -1 (* n (- n (* -1 n)))) (* -1 (+ (* -1 (pow n 2)) (pow n 2))))) (pow f 3)))))) 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))))
(- (+ (* -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)))
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -1 (/ (- (* -1 (pow n 2)) (+ (* -4 (pow n 2)) (pow n 2))) (pow f 2)))) 1)
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (* n (- (* -1 (pow n 2)) (+ (* -4 (pow n 2)) (pow n 2)))) (pow f 3))) (+ (* -1 (/ (- (* -1 (pow n 2)) (+ (* -4 (pow n 2)) (pow n 2))) (pow f 2))) (* 2 (/ (pow n 3) (pow f 3)))))) 1)
(* -1 (pow f 2))
(* (pow f 2) (- (/ (pow n 2) (pow f 2)) 1))
(* (pow f 2) (- (* 2 (/ n f)) 1))
(* (pow f 2) (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))
(- (* -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 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) f)) (/ (* n (- n (* -1 n))) f))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -1 (/ (* n (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f)) (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) f)) (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f))) (* -1 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 (* f (- (/ 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)))
(- (* -1 (/ (- (* -1 (/ (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* -2 n)) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* n (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2))))) f)) (+ (* 2 (/ (pow n 3) f)) (pow n 2))) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* -2 n)) f)) 1)
(* (pow f 2) (- (* -1 (/ (+ (* -2 n) (/ (pow n 2) f)) 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)
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(- (* -1 n) f)
(+ f (* -1 n))
(+ (* -1 (pow f 2)) (* 2 (* f n)))
(+ (* -1 (pow f 2)) (* n (+ (* -1 n) (* 2 f))))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -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 (+ 1 (* -1 (/ f n))))
(/ (+ f (/ (pow f 2) n)) n)
(/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (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 (/ (pow f 2) (pow n 2))) (/ (pow f 2) (pow n 2))))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) (pow n 3))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ (* f (+ (* -1 (* f (- (* -1 f) f))) (+ (* -1 (pow f 2)) (pow f 2)))) (pow n 3)) (/ (pow f 2) (pow n 2))))))))
(+ 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) (/ (* 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 (+ (* -1 (/ (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) (pow n 2))) (* 2 (/ f n))))
(+ 1 (+ (* -2 (/ (* f (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2))))) (pow n 3))) (+ (* -2 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) (pow n 2))) (* 2 (/ f n))))))
(* (pow n 2) (+ 1 (* -1 (/ (pow f 2) (pow n 2)))))
(* (pow n 2) (- (* 2 (/ f n)) 1))
(* (pow n 2) (- (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n))) 1))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) 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 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (+ (* -1 (/ (pow f 2) n)) (+ (/ (* f (- (* -1 f) f)) n) (/ (pow f 2) n)))) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (* f (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n)) (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) n)) (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n))) 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 (* 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 (* n (- (* -1 (/ f n)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow f 3) n)) (+ (* -1 (pow f 2)) (* 2 (/ (* f (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2)))) n)))) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(* (pow n 2) (- (* -1 (/ (+ (* -2 f) (/ (pow f 2) n)) n)) 1))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
n
@inf
((+ (/ n (- n f)) (/ f (- n f))) (/ n (- n f)) (- n f) (/ f (- n f)) (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (/ (+ (* (neg f) f) (* n n)) (neg (* (- n f) (- f n)))) (+ (* (neg f) f) (* n n)) (neg f) (* n n) (* (- n f) (- f n)))
3.0ms
n
@-inf
((+ (/ n (- n f)) (/ f (- n f))) (/ n (- n f)) (- n f) (/ f (- n f)) (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (/ (+ (* (neg f) f) (* n n)) (neg (* (- n f) (- f n)))) (+ (* (neg f) f) (* n n)) (neg f) (* n n) (* (- n f) (- f n)))
3.0ms
f
@inf
((+ (/ n (- n f)) (/ f (- n f))) (/ n (- n f)) (- n f) (/ f (- n f)) (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (/ (+ (* (neg f) f) (* n n)) (neg (* (- n f) (- f n)))) (+ (* (neg f) f) (* n n)) (neg f) (* n n) (* (- n f) (- f n)))
2.0ms
f
@-inf
((+ (/ n (- n f)) (/ f (- n f))) (/ n (- n f)) (- n f) (/ f (- n f)) (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (/ (+ (* (neg f) f) (* n n)) (neg (* (- n f) (- f n)))) (+ (* (neg f) f) (* n n)) (neg f) (* n n) (* (- n f) (- f n)))
2.0ms
n
@0
((+ (/ n (- n f)) (/ f (- n f))) (/ n (- n f)) (- n f) (/ f (- n f)) (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (/ (+ (* (neg f) f) (* n n)) (neg (* (- n f) (- f n)))) (+ (* (neg f) f) (* n n)) (neg f) (* n n) (* (- n f) (- f n)))

simplify199.0ms (4%)

Memory
24.4MiB live, 163.7MiB allocated; 17ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06032324
120211963
276971924
082121829
Stop Event
iter limit
node limit
Counts
129 → 127
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))
(/ f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
(* -1 n)
(- (* -1 f) n)
(- f n)
(+ f n)
(pow n 2)
(+ (* -1 (pow f 2)) (pow n 2))
(* -1 f)
(* -1 (pow n 2))
(+ (* -1 (pow n 2)) (* 2 (* f n)))
(+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))
(* -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)
(* f (- (/ n f) 1))
(- (* -1 (/ n f)) 1)
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) (pow f 3))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (+ (* -1 (/ (- n (* -1 n)) f)) (/ (* n (+ (* -1 (* n (- n (* -1 n)))) (* -1 (+ (* -1 (pow n 2)) (pow n 2))))) (pow f 3)))))) 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))))
(- (+ (* -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)))
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -1 (/ (- (* -1 (pow n 2)) (+ (* -4 (pow n 2)) (pow n 2))) (pow f 2)))) 1)
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (* n (- (* -1 (pow n 2)) (+ (* -4 (pow n 2)) (pow n 2)))) (pow f 3))) (+ (* -1 (/ (- (* -1 (pow n 2)) (+ (* -4 (pow n 2)) (pow n 2))) (pow f 2))) (* 2 (/ (pow n 3) (pow f 3)))))) 1)
(* -1 (pow f 2))
(* (pow f 2) (- (/ (pow n 2) (pow f 2)) 1))
(* (pow f 2) (- (* 2 (/ n f)) 1))
(* (pow f 2) (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))
(- (* -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 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) f)) (/ (* n (- n (* -1 n))) f))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -1 (/ (* n (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f)) (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) f)) (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f))) (* -1 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 (* f (- (/ 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)))
(- (* -1 (/ (- (* -1 (/ (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* -2 n)) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* n (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2))))) f)) (+ (* 2 (/ (pow n 3) f)) (pow n 2))) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* -2 n)) f)) 1)
(* (pow f 2) (- (* -1 (/ (+ (* -2 n) (/ (pow n 2) f)) 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)
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(- (* -1 n) f)
(+ f (* -1 n))
(+ (* -1 (pow f 2)) (* 2 (* f n)))
(+ (* -1 (pow f 2)) (* n (+ (* -1 n) (* 2 f))))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -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 (+ 1 (* -1 (/ f n))))
(/ (+ f (/ (pow f 2) n)) n)
(/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (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 (/ (pow f 2) (pow n 2))) (/ (pow f 2) (pow n 2))))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) (pow n 3))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ (* f (+ (* -1 (* f (- (* -1 f) f))) (+ (* -1 (pow f 2)) (pow f 2)))) (pow n 3)) (/ (pow f 2) (pow n 2))))))))
(+ 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) (/ (* 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 (+ (* -1 (/ (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) (pow n 2))) (* 2 (/ f n))))
(+ 1 (+ (* -2 (/ (* f (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2))))) (pow n 3))) (+ (* -2 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) (pow n 2))) (* 2 (/ f n))))))
(* (pow n 2) (+ 1 (* -1 (/ (pow f 2) (pow n 2)))))
(* (pow n 2) (- (* 2 (/ f n)) 1))
(* (pow n 2) (- (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n))) 1))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) 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 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (+ (* -1 (/ (pow f 2) n)) (+ (/ (* f (- (* -1 f) f)) n) (/ (pow f 2) n)))) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (* f (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n)) (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) n)) (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n))) 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 (* 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 (* n (- (* -1 (/ f n)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow f 3) n)) (+ (* -1 (pow f 2)) (* 2 (/ (* f (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2)))) n)))) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(* (pow n 2) (- (* -1 (/ (+ (* -2 f) (/ (pow f 2) n)) n)) 1))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #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 (/.f64 f n) #s(literal 1 binary64)) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) n) f) n) #s(literal 1 binary64))
n
(+ n (* -1 f))
(-.f64 n f)
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) n) f) n)
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 4 binary64))) f (/.f64 f (pow.f64 n #s(literal 3 binary64)))) f (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n)) f)
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- f n)
(-.f64 f n)
(+ f n)
(+.f64 f n)
(pow n 2)
(*.f64 n n)
(+ (* -1 (pow f 2)) (pow n 2))
(fma.f64 (neg.f64 f) f (*.f64 n n))
(* -1 f)
(neg.f64 f)
(* -1 (pow n 2))
(*.f64 (neg.f64 n) n)
(+ (* -1 (pow n 2)) (* 2 (* f n)))
(*.f64 (fma.f64 #s(literal 2 binary64) f (neg.f64 n)) n)
(+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n))))
(fma.f64 (fma.f64 #s(literal 2 binary64) f (neg.f64 n)) n (*.f64 (neg.f64 f) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 (/.f64 (-.f64 (neg.f64 n) n) f) #s(literal 1 binary64))
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))
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(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))
(-.f64 (fma.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal -2 binary64) (-.f64 (/.f64 (neg.f64 n) f) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 (/.f64 n f) #s(literal 2 binary64)) n n) f))
(* -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 (-.f64 (neg.f64 n) (/.f64 (fma.f64 n n (/.f64 (pow.f64 n #s(literal 3 binary64)) f)) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(/.f64 (-.f64 (-.f64 (neg.f64 n) (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 n n (/.f64 (pow.f64 n #s(literal 3 binary64)) f)) f)) f)
(* f (- (/ n f) 1))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(- (* -1 (/ n f)) 1)
(-.f64 (/.f64 (neg.f64 n) f) #s(literal 1 binary64))
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(-.f64 (-.f64 (/.f64 (/.f64 (*.f64 (neg.f64 n) n) f) f) #s(literal 1 binary64)) (/.f64 n f))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
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(- (* -1 (/ (- n (* -1 n)) f)) 1)
(-.f64 (/.f64 (*.f64 #s(literal 2 binary64) n) (neg.f64 f)) #s(literal 1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(-.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 n f) #s(literal 2 binary64)) n (*.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) f)) f) #s(literal 1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) (pow f 3))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (+ (* -1 (/ (- n (* -1 n)) f)) (/ (* n (+ (* -1 (* n (- n (* -1 n)))) (* -1 (+ (* -1 (pow n 2)) (pow n 2))))) (pow f 3)))))) 1)
(-.f64 (fma.f64 (/.f64 (neg.f64 n) f) (*.f64 (/.f64 n f) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 #s(literal 0 binary64) f)) f) #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) n) (neg.f64 n) #s(literal 0 binary64)) n (*.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) n))) (pow.f64 f #s(literal 3 binary64))))) #s(literal 1 binary64))
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(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 n) f) #s(literal 1 binary64)) f)
f
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 (-.f64 (neg.f64 n) n) f) (/.f64 n f) (-.f64 (/.f64 (-.f64 (neg.f64 n) 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 (*.f64 (*.f64 (-.f64 (neg.f64 n) n) n) n) (pow.f64 f #s(literal 3 binary64))) (/.f64 n f)) (+.f64 (/.f64 (fma.f64 (neg.f64 n) (/.f64 (-.f64 (neg.f64 n) n) f) n) f) #s(literal 1 binary64)))
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(- (* -2 (/ n f)) 1)
(-.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 1 binary64))
(- (+ (* -2 (/ n f)) (* -1 (/ (- (* -1 (pow n 2)) (+ (* -4 (pow n 2)) (pow n 2))) (pow f 2)))) 1)
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(* -1 (pow f 2))
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(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (neg.f64 n)) (neg.f64 f))) (neg.f64 f)) #s(literal 1 binary64))
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(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) f) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) n) n)))) f)) (neg.f64 f)) #s(literal 1 binary64))
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(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
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(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) (neg.f64 f))
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)
(-.f64 (/.f64 (fma.f64 n (/.f64 n f) n) (neg.f64 f)) #s(literal 1 binary64))
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(* -1 (* f (- (* -1 (/ n f)) 1)))
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(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 n) (pow.f64 f #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64)))) n) (/.f64 (/.f64 #s(literal 1 binary64) f) f)) n) (/.f64 #s(literal 1 binary64) f)) n)
(- n f)
(-.f64 n f)
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)
(-.f64 (*.f64 (-.f64 (/.f64 (/.f64 (neg.f64 n) f) f) (/.f64 #s(literal 1 binary64) f)) n) #s(literal 1 binary64))
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (/.f64 (neg.f64 n) (pow.f64 f #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) f) f)) n) (/.f64 #s(literal 1 binary64) f)) n) #s(literal 1 binary64))
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(+ f (* -1 n))
(-.f64 f n)
(+ (* -1 (pow f 2)) (* 2 (* f n)))
(*.f64 (fma.f64 #s(literal 2 binary64) n (neg.f64 f)) f)
(+ (* -1 (pow f 2)) (* n (+ (* -1 n) (* 2 f))))
(fma.f64 (fma.f64 #s(literal 2 binary64) f (neg.f64 n)) n (*.f64 (neg.f64 f) f))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))
(+.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) f) (/.f64 f n) f) n)) (/.f64 f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n) f #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (fma.f64 (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n) f #s(literal 1 binary64)))
(* n (+ 1 (* -1 (/ f n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (+ f (/ (pow f 2) n)) n)
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n)
(/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) n) f) n)
(/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (pow f 3) (pow n 2))))) n)
(/.f64 (+.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) (/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) n)) f) n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 f) f) n))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ (pow f 2) (pow n 2))))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 f) f) n) f (-.f64 (neg.f64 f) f)) n))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) (pow n 3))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ (* f (+ (* -1 (* f (- (* -1 f) f))) (+ (* -1 (pow f 2)) (pow f 2)))) (pow n 3)) (/ (pow f 2) (pow n 2))))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 f) f) n) f (*.f64 (-.f64 (neg.f64 f) f) #s(literal 0 binary64))) n) (+.f64 (-.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 f) f) (neg.f64 f) #s(literal 0 binary64)) (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 0 binary64)) (/.f64 (-.f64 (neg.f64 f) f) n)) #s(literal 1 binary64)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 f) f) n) f (-.f64 (neg.f64 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)))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 (neg.f64 f) f) f (*.f64 f (*.f64 (/.f64 (-.f64 (neg.f64 f) f) n) f))) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 f) f) n)))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) 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)))))
(+.f64 (+.f64 (fma.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 2 binary64) #s(literal 1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) f) (/.f64 f n) f) n)) (/.f64 f n))
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(+ 1 (+ (* -1 (/ (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) (pow n 2))) (* 2 (/ f n))))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (neg.f64 (fma.f64 f f (*.f64 #s(literal -3 binary64) (*.f64 f f)))) n)) n) #s(literal 1 binary64))
(+ 1 (+ (* -2 (/ (* f (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2))))) (pow n 3))) (+ (* -2 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) (pow n 2))) (* 2 (/ f n))))))
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (fma.f64 f f (*.f64 #s(literal -3 binary64) (*.f64 f f))) f (pow.f64 f #s(literal 3 binary64))) (pow.f64 n #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (neg.f64 (fma.f64 f f (*.f64 #s(literal -3 binary64) (*.f64 f f)))) n)) n) #s(literal 1 binary64)))
(* (pow n 2) (+ 1 (* -1 (/ (pow f 2) (pow n 2)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 f n) n) f)) n) n)
(* (pow n 2) (- (* 2 (/ f n)) 1))
(*.f64 (*.f64 (-.f64 (*.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)) n) n)
(* (pow n 2) (- (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n))) 1))
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (*.f64 (neg.f64 f) f) n)) n) #s(literal 1 binary64)) (*.f64 n n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 f) (*.f64 (/.f64 f n) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) f)) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) f) f (/.f64 (-.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 n))) n) f)) f) n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(fma.f64 (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) n) f) n) #s(literal 1 binary64))
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) (neg.f64 n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 f (/.f64 f n) f)) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) n) f)) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -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)) (neg.f64 n)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 n))) (neg.f64 n)) f) (neg.f64 n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (+ (* -1 (/ (pow f 2) n)) (+ (/ (* f (- (* -1 f) f)) n) (/ (pow f 2) n)))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 f) f) f #s(literal 0 binary64)) n) f) f) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (* f (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n)) (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) n)) (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (+.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 f) f) #s(literal 0 binary64) (*.f64 (neg.f64 f) (fma.f64 (-.f64 (neg.f64 f) f) f #s(literal 0 binary64)))) n) (fma.f64 (-.f64 (neg.f64 f) f) f #s(literal 0 binary64))) n) f)) f) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (neg.f64 f) f) n) f (-.f64 (neg.f64 f) f)) n))
(+ 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 (-.f64 (neg.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 f (*.f64 (/.f64 (-.f64 (neg.f64 f) f) n) f) (*.f64 (-.f64 (neg.f64 f) f) f))) n) f)) f) n))
(* -1 (* n (+ 1 (/ f n))))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (neg.f64 n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
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(+ 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 (neg.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) f) f (/.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 2 binary64)) n)) n))) n))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) (neg.f64 n))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 f) (*.f64 (/.f64 f n) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) f)) n))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (pow f 3) n)) (+ (* -1 (pow f 2)) (* 2 (/ (* f (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2)))) n)))) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (fma.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 2 binary64)) n) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) f) f))) (neg.f64 n))) n))
(* (pow n 2) (- (* -1 (/ (+ (* -2 f) (/ (pow f 2) n)) n)) 1))
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rewrite227.0ms (4.6%)

Memory
14.5MiB live, 259.1MiB allocated; 45ms collecting garbage
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029114
045101
116689
2137287
0871087
Stop Event
iter limit
node limit
iter limit
Counts
16 → 1 619
Calls
Call 1
Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 n (-.f64 n f))
(-.f64 n f)
(/.f64 f (-.f64 n f))
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #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)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
(fma.f64 (neg.f64 f) f (*.f64 n n))
(neg.f64 f)
(*.f64 n n)
(*.f64 (-.f64 n f) (-.f64 f n))
Outputs
(*.f64 (/.f64 (+.f64 f (neg.f64 n)) (neg.f64 (-.f64 f n))) (/.f64 (-.f64 f (neg.f64 n)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f (neg.f64 n)) (-.f64 n f)) (/.f64 (-.f64 f (neg.f64 n)) (neg.f64 (neg.f64 (-.f64 f n)))))
(*.f64 (/.f64 (+.f64 f (neg.f64 n)) (-.f64 n f)) (/.f64 (-.f64 f (neg.f64 n)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 (neg.f64 n) f) (fabs.f64 (-.f64 f n))) (/.f64 (-.f64 (neg.f64 n) f) (fabs.f64 (-.f64 f n))))
(*.f64 (/.f64 (+.f64 f n) (fabs.f64 (-.f64 f n))) (/.f64 (-.f64 n f) (fabs.f64 (-.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 (fma.f64 (neg.f64 f) f (*.f64 n n)) (*.f64 (+.f64 f n) (-.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 (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 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 (-.f64 n f) n (*.f64 f 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 (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 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 f (-.f64 f n) (*.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 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 f) f (*.f64 n n)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.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 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.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 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 f) f (*.f64 n n)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f (neg.f64 n)) (-.f64 f n)) (/.f64 (-.f64 f (neg.f64 n)) (neg.f64 (-.f64 f n))))
(*.f64 (/.f64 (+.f64 f (neg.f64 n)) (-.f64 f n)) (/.f64 (-.f64 f (neg.f64 n)) (-.f64 n f)))
(*.f64 (/.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) (fma.f64 (-.f64 n f) n (*.f64 f f))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) (fma.f64 f (-.f64 f n) (*.f64 n n))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) (fma.f64 (-.f64 n f) n (*.f64 f f))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 f) f (*.f64 n n))) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 f) f (*.f64 n 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 (+.f64 f n) (fma.f64 (-.f64 n f) n (*.f64 f f))))
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(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.f64 f n)) (fma.f64 f (+.f64 f n) (*.f64 n n)))
(/.f64 (*.f64 (-.f64 f n) (fma.f64 (neg.f64 f) f (*.f64 n n))) (+.f64 f n))
(/.f64 (*.f64 (-.f64 f n) (-.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 (*.f64 (-.f64 n f) (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n))
(/.f64 (*.f64 (-.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 f n))))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 (neg.f64 f) f (*.f64 n n))) (pow.f64 (+.f64 f n) #s(literal 2 binary64)))
(/.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 (+.f64 f n) (fma.f64 f (+.f64 f n) (*.f64 n n))))
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (neg.f64 f) f (*.f64 n n))) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (+.f64 f n)))
(/.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 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 f (+.f64 f n) (*.f64 n n))))
(/.f64 (*.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (*.f64 (+.f64 f n) (-.f64 f n))) (pow.f64 (+.f64 f n) #s(literal 2 binary64)))
(/.f64 (*.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (+.f64 f n)))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.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 f n)))))
(neg.f64 (pow.f64 (-.f64 f n) #s(literal 2 binary64)))

eval244.0ms (4.9%)

Memory
14.0MiB live, 239.3MiB allocated; 27ms collecting garbage
Compiler

Compiled 43 009 to 3 877 computations (91% saved)

prune70.0ms (1.4%)

Memory
-34.6MiB live, 67.6MiB allocated; 12ms collecting garbage
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1 32911 330
Fresh000
Picked055
Done134
Total1 33091 339
Accuracy
100.0%
Counts
1 339 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
86.3%
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
50.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
50.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
100.0%
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
49.5%
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #s(literal 1 binary64))
50.7%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
49.2%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 118 to 79 computations (33.1% saved)

simplify4.0ms (0.1%)

Memory
2.2MiB live, 2.2MiB allocated; 0ms collecting garbage
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01047
01547
12247
22347
02347
Stop Event
iter limit
saturated
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 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
(+.f64 n f)
(+.f64 f n)
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)

localize24.0ms (0.5%)

Memory
24.0MiB live, 24.0MiB allocated; 0ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 n f)
accuracy0.0
#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
accuracy0.037441259768442016
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
accuracy8.477730522990766
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
Samples
17.0ms256×0valid
Compiler

Compiled 33 to 11 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (31.9% of total)
ival-sub: 2.0ms (21.2% of total)
ival-add: 2.0ms (21.2% of total)
ival-mult: 2.0ms (21.2% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Counts
4 → 33
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)
#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ f n)
(+ n (* -1 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
(* f (+ 1 (/ n f)))
(* -1 f)
(* f (- (/ n f) 1))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(- (* -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)
(- (+ 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)))
(* 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 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (/ f n) 1)))
Calls

6 calls:

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

simplify231.0ms (4.7%)

Memory
-0.0MiB live, 134.3MiB allocated; 11ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140405
1440397
21536321
36723315
08153287
Stop Event
iter limit
node limit
Counts
33 → 31
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ f n)
(+ n (* -1 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
(* f (+ 1 (/ n f)))
(* -1 f)
(* f (- (/ n f) 1))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(- (* -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)
(- (+ 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)))
(* 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 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (/ 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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
n
(+ f n)
(+.f64 f n)
(+ n (* -1 f))
(-.f64 n f)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 (*.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 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #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 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) (*.f64 f f)) n (/.f64 #s(literal -2 binary64) f)) n) #s(literal 1 binary64))
f
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) f) n) #s(literal 1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #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 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) (*.f64 f f)) n (/.f64 #s(literal -2 binary64) f)) n) #s(literal 1 binary64))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(*.f64 (-.f64 (/.f64 n (neg.f64 f)) #s(literal 1 binary64)) (neg.f64 f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(fma.f64 (/.f64 n f) f (neg.f64 f))
(- (* -2 (/ n f)) 1)
(-.f64 (*.f64 (/.f64 #s(literal -2 binary64) f) n) #s(literal 1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(-.f64 (*.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n) #s(literal 1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(-.f64 (*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) (*.f64 f f)) n (/.f64 #s(literal -2 binary64) f)) n) #s(literal 1 binary64))
(- n f)
(-.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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) 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 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 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)
(* n (+ 1 (* -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 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) 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 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) (neg.f64 n))
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) (neg.f64 n))

rewrite225.0ms (4.6%)

Memory
-40.7MiB live, 228.9MiB allocated; 65ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01036
01536
15836
236136
3477336
0870136
Stop Event
iter limit
node limit
iter limit
Counts
4 → 192
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)
#s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
Outputs
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (-.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))))
(*.f64 (/.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (fma.f64 n (-.f64 n f) (*.f64 f f))) (/.f64 (+.f64 f n) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))))
(*.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 f n) f (*.f64 n n)) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))))
(*.f64 (*.f64 (/.f64 (+.f64 f n) (fma.f64 (+.f64 f n) f (*.f64 n n))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 f n) f (*.f64 n n)) (neg.f64 #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))))
(*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f))))
(*.f64 (+.f64 f n) (/.f64 (-.f64 n f) (*.f64 #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)) (-.f64 n f))))
(/.f64 (/.f64 (fma.f64 #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)) f (*.f64 #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)) n)) #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)))
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(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 f n) #s(approx (- n f) (*.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))))) (neg.f64 (/.f64 (-.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))))
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(*.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 #s(literal 1 binary64) (/.f64 n f)) #s(literal 2 binary64)))) (-.f64 (*.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 3 binary64)) #s(literal 1 binary64)) f) (+.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) #s(literal 3 binary64)) (pow.f64 (/.f64 n f) #s(literal 6 binary64)))) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (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 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 3 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 #s(literal 1 binary64) (/.f64 n f))) (/.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 f (+.f64 #s(literal 1 binary64) (/.f64 n f))))
(*.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 (/.f64 n f) #s(literal 1 binary64)) (/.f64 f #s(literal 1 binary64)))
(*.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 (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 #s(literal 1 binary64) (/.f64 n f)))
(/.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f) #s(literal 1 binary64))

eval26.0ms (0.5%)

Memory
18.2MiB live, 65.5MiB allocated; 4ms collecting garbage
Compiler

Compiled 7 201 to 720 computations (90% saved)

prune9.0ms (0.2%)

Memory
-24.8MiB live, 22.0MiB allocated; 2ms collecting garbage
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New2100210
Fresh000
Picked011
Done088
Total2109219
Accuracy
100.0%
Counts
219 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
53.1%
(/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
86.3%
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
50.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
50.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
100.0%
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
49.5%
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #s(literal 1 binary64))
50.7%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
49.2%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 324 to 148 computations (54.3% saved)

regimes12.0ms (0.3%)

Memory
20.4MiB live, 20.4MiB allocated; 0ms collecting garbage
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #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))
#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 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (neg.f64 #s(approx (+ f n) (fma.f64 (/.f64 n f) f f))) (-.f64 f n))
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)))
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)))
(/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
(/.f64 (fma.f64 (neg.f64 f) (/.f64 f (-.f64 f n)) (*.f64 n (/.f64 n (-.f64 f n)))) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 (*.f64 f (/.f64 f (+.f64 n f))) (*.f64 n (/.f64 n (+.f64 n f)))))
Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
Calls

3 calls:

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

Compiled 10 to 10 computations (0% saved)

regimes8.0ms (0.2%)

Memory
15.3MiB live, 15.3MiB allocated; 0ms collecting garbage
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #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))
#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))
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
Calls

3 calls:

3.0ms
f
3.0ms
n
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
99.9%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
99.9%1f
99.9%1n
Compiler

Compiled 10 to 10 computations (0% saved)

regimes10.0ms (0.2%)

Memory
-28.0MiB live, 18.2MiB allocated; 2ms collecting garbage
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #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))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Calls

3 calls:

3.0ms
f
2.0ms
n
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.7%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
81.0%3f
74.6%3n
Compiler

Compiled 10 to 10 computations (0% saved)

regimes2.0ms (0%)

Memory
4.4MiB live, 4.4MiB allocated; 0ms collecting garbage
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))
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #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
97.2%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #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
97.1%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- (* f (/ f (+ n f))) (* n (/ n (+ n f))))) #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
97.1%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory
9.7MiB live, 9.7MiB allocated; 0ms collecting garbage
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
49.2%1n
49.2%1f
49.2%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999404
0.8507140792077963
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999404
0.8507140792077963
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999404
0.8507140792077963
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch45.0ms (0.9%)

Memory
-7.9MiB live, 37.8MiB allocated; 8ms collecting garbage
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
44.0ms
-0.9999999999999404
0.8507140792077963
Samples
35.0ms240×0valid
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)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify100.0ms (2%)

Memory
-21.9MiB live, 66.4MiB allocated; 18ms collecting garbage
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038161
159161
278161
393161
4104161
5127161
6175161
7230161
8295161
9337161
10531161
113002161
Stop Event
node limit
Calls
Call 1
Inputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

derivations715.0ms (14.5%)

Memory
25.4MiB live, 529.6MiB allocated; 155ms collecting garbage
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0145444
1462415
21605357
37385357
08606327
031157
051169
1157133
2963130
08968130
0618
01017
13617
222417
3284116
0962516
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 161 to 38 computations (76.4% saved)

preprocess37.0ms (0.8%)

Memory
22.7MiB live, 68.8MiB allocated; 5ms collecting garbage
Compiler

Compiled 338 to 88 computations (74% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Profiling

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