subtraction fraction

Time bar (total: 5.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze17.0ms (0.3%)

Memory
-9.3MiB live, 22.0MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample647.0ms (10.9%)

Memory
91.5MiB live, 792.7MiB allocated
Samples
401.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-add: 58.0ms (27.6% of total)
ival-div: 57.0ms (27.1% of total)
ival-sub: 47.0ms (22.4% of total)
ival-neg: 40.0ms (19% of total)
ival-true: 6.0ms (2.9% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain77.0ms (1.3%)

Memory
-4.8MiB live, 112.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
00-0-(-.f64 f n)
00-0-f
00-0-n
00-0-(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
36.0ms512×0valid
Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 9.0ms (51.5% of total)
ival-sub: 3.0ms (17.2% of total)
ival-add: 3.0ms (17.2% of total)
ival-neg: 2.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess61.0ms (1%)

Memory
-21.2MiB live, 56.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01846
16135
217235
345535
4121535
5148735
6154435
7161235
8166935
068
0108
1218
2418
3787
41657
53127
66137
77397
87717
97877
107887
07887
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
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)

simplify19.0ms (0.3%)

Memory
26.9MiB live, 26.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0620
01020
12120
24120
37819
416519
531219
661319
773919
877119
978719
1078819
078819
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
(-.f64 f n)
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
(-.f64 f n)

localize23.0ms (0.4%)

Memory
-15.9MiB live, 29.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 f n)
accuracy0.0
(+.f64 f n)
accuracy0.0
(neg.f64 (+.f64 f n))
accuracy0.03515625
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
18.0ms256×0valid
Compiler

Compiled 42 to 14 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 4.0ms (46% of total)
ival-add: 2.0ms (23% of total)
ival-sub: 1.0ms (11.5% of total)
ival-neg: 1.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
7.1MiB live, 7.1MiB allocated
Counts
4 → 40
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
n
(+ f n)
(- f n)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (* -1 (/ n f))))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (/ n f) 1)))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* -1 n) f)
(+ f (* -1 n))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (+ 1 (/ f n)))
(* n (- (/ f n) 1))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Calls

6 calls:

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

simplify287.0ms (4.8%)

Memory
14.3MiB live, 125.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145384
1448349
21348314
35264304
08383278
Stop Event
iter limit
node limit
Counts
40 → 38
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
n
(+ f n)
(- f n)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (* -1 (/ n f))))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (/ n f) 1)))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* -1 n) f)
(+ f (* -1 n))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (+ 1 (/ f n)))
(* n (- (/ f n) 1))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
n
(+ f n)
(+.f64 n f)
(- f n)
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 (/.f64 n f) n n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(+ f (* -1 n))
(-.f64 f n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (- (/ f n) 1))
(-.f64 f n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)

rewrite154.0ms (2.6%)

Memory
-1.6MiB live, 151.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0618
01018
14618
232717
0554717
Stop Event
iter limit
iter limit
node limit
iter limit
Counts
4 → 572
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)
Outputs
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 n f)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 n f))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 n f))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) #s(literal 1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 n f) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (+.f64 n f) (pow.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 n f) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (-.f64 n f) n (*.f64 f f)) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 n) n (*.f64 f f))) (pow.f64 (+.f64 n f) #s(literal 2 binary64)))
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (neg.f64 (+.f64 n f))))
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(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) f)
(+.f64 (*.f64 f (/.f64 f (+.f64 n f))) (neg.f64 (*.f64 n (/.f64 n (+.f64 n f)))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f))) (neg.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(+.f64 (neg.f64 n) f)
(+.f64 f (*.f64 #s(literal 1 binary64) (neg.f64 n)))
(+.f64 f (neg.f64 n))

eval141.0ms (2.4%)

Memory
-21.8MiB live, 162.3MiB allocated
Compiler

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

prune108.0ms (1.8%)

Memory
1.7MiB live, 47.7MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New57610586
Fresh000
Picked101
Done000
Total57710587
Accuracy
100.0%
Counts
587 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.8%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (-.f64 f n))
99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
47.2%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
53.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
100.0%
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
47.6%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
54.2%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
46.1%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
52.8%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 234 to 168 computations (28.2% saved)

simplify53.0ms (0.9%)

Memory
-20.3MiB live, 19.2MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
023109
036114
158114
2100101
3168101
4284101
5501101
61072101
71317101
81487101
91552101
101593101
111602101
01602101
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 f (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal -1 binary64)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
Outputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 n (-.f64 n f))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 f (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal -1 binary64)
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 n f)
(+.f64 f n)
n
f
(-.f64 n f)

localize54.0ms (0.9%)

Memory
18.3MiB live, 89.1MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 n f)
accuracy0.0
(+.f64 n f)
accuracy0.03515625
(/.f64 (+.f64 n f) (-.f64 n f))
accuracy0.0
(/.f64 #s(literal -2 binary64) f)
accuracy0.08984375
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
accuracy29.340950847200947
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
accuracy0.0
(-.f64 f n)
accuracy0.0
(neg.f64 f)
accuracy0.03515625
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy29.668525260652036
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy30.23977208893849
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0.0
(neg.f64 n)
accuracy0.015625
(/.f64 (neg.f64 n) (-.f64 f n))
accuracy0.0234375
(/.f64 f (-.f64 f n))
accuracy0.03515625
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
Samples
41.0ms256×0valid
Compiler

Compiled 206 to 44 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 25.0ms
ival-div: 12.0ms (48.8% of total)
ival-sub: 4.0ms (16.3% of total)
ival-neg: 4.0ms (16.3% of total)
ival-add: 3.0ms (12.2% of total)
ival-mult: 2.0ms (8.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
-21.3MiB live, 24.2MiB allocated
Counts
15 → 101
Calls
Call 1
Inputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
(/.f64 f (-.f64 f n))
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 n)
(- f n)
(- (* -1 f) n)
(* -1 f)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
n
(+ f n)
(+ n (* -1 f))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
-1
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
f
(* f (+ 1 (* -1 (/ n f))))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* f (- (* -1 (/ n f)) 1))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(* f (+ 1 (/ n f)))
(* f (- (/ n f) 1))
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 (* f (- (/ n f) 1)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(+ f (* -1 n))
(- (* -1 n) f)
(- n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(* n (- (/ f n) 1))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(* n (+ 1 (/ f n)))
(* n (+ 1 (* -1 (/ f n))))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
Calls

6 calls:

TimeVariablePointExpression
10.0ms
n
@-inf
((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))
2.0ms
f
@inf
((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))
2.0ms
n
@inf
((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))
2.0ms
f
@0
((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))
2.0ms
n
@0
((- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ f (- f n)))

simplify197.0ms (3.3%)

Memory
21.0MiB live, 178.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04311390
113611285
241221151
081621055
Stop Event
iter limit
node limit
Counts
101 → 99
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 n)
(- f n)
(- (* -1 f) n)
(* -1 f)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
n
(+ f n)
(+ n (* -1 f))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
-1
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
f
(* f (+ 1 (* -1 (/ n f))))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* f (- (* -1 (/ n f)) 1))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(* f (+ 1 (/ n f)))
(* f (- (/ n f) 1))
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 (* f (- (/ n f) 1)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(+ f (* -1 n))
(- (* -1 n) f)
(- n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(* n (- (/ f n) 1))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(* n (+ 1 (/ f n)))
(* n (+ 1 (* -1 (/ f n))))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) (pow.f64 (/.f64 f n) #s(literal 3 binary64))) #s(literal 1 binary64))
(+ 1 (/ f n))
(+.f64 (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) (+.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)))
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(* -1 f)
(neg.f64 f)
(* -2 (/ n f))
(*.f64 (/.f64 n f) #s(literal -2 binary64))
(/ (+ (* -2 n) (* -1 f)) f)
(/.f64 (fma.f64 #s(literal -2 binary64) n (neg.f64 f)) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
n
(+ f n)
(+.f64 f n)
(+ n (* -1 f))
(-.f64 n f)
(* -1 (/ f n))
(/.f64 (neg.f64 f) n)
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 n n))) f (/.f64 #s(literal -1 binary64) n)) f)
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))) f (/.f64 #s(literal -1 binary64) (*.f64 n n))) f (/.f64 #s(literal -1 binary64) n)) f)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
(fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) (pow.f64 (/.f64 n f) #s(literal 3 binary64))) #s(literal -1 binary64))
(* -1 (/ n f))
(/.f64 (neg.f64 n) f)
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(*.f64 (/.f64 n f) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/.f64 (neg.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(/.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64))))) f)
f
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n 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)
(fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) (pow.f64 (/.f64 n f) #s(literal 3 binary64))) #s(literal -1 binary64))
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n 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))))
(fma.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* f (- (/ n f) 1))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(+ 1 (/ n f))
(+.f64 (/.f64 n f) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) (+.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(*.f64 (/.f64 n f) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(/.f64 (neg.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (+.f64 (/.f64 (fma.f64 n n (/.f64 (+.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (pow.f64 n #s(literal 3 binary64))) f)) f) n) (neg.f64 f))
(* -1 (* f (- (/ n f) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n 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))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n 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 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 (/.f64 n f) f f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(+.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal 1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 #s(literal -2 binary64) (fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) (pow.f64 (/.f64 n f) #s(literal 3 binary64))) #s(literal -1 binary64))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(*.f64 (/.f64 n f) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal -1 binary64) f)) n)
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 3 binary64))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) n (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal -1 binary64) f)) n)
(+ f (* -1 n))
(-.f64 f n)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(- n f)
(-.f64 n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) (+.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) (pow.f64 (/.f64 f n) #s(literal 3 binary64))) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) (+.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)))
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) (pow.f64 (/.f64 f n) #s(literal 3 binary64))) #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) (pow.f64 (/.f64 f n) #s(literal 3 binary64))) #s(literal 1 binary64))
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(* n (+ 1 (* -1 (/ f n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) (neg.f64 n))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (neg.f64 (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f)) n)
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 f n) n n)
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) (neg.f64 n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) (pow.f64 f #s(literal 3 binary64))) n)) n) f) (neg.f64 n))

rewrite260.0ms (4.4%)

Memory
17.0MiB live, 254.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02395
03692
115787
2139687
0868387
Stop Event
iter limit
node limit
iter limit
Counts
15 → 1 659
Calls
Call 1
Inputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
(/.f64 f (-.f64 f n))
Outputs
(*.f64 (/.f64 (-.f64 (neg.f64 n) f) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 n) f) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 n) f) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (neg.f64 n) f) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (+.f64 f n) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (+.f64 f n) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (+.f64 f n) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)))
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(/.f64 f (-.f64 f n))
(neg.f64 (/.f64 f (-.f64 n f)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
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eval209.0ms (3.5%)

Memory
8.6MiB live, 317.9MiB allocated
Compiler

Compiled 32 605 to 3 385 computations (89.6% saved)

prune27.0ms (0.4%)

Memory
-2.0MiB live, 81.9MiB allocated
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1 22031 223
Fresh145
Picked145
Done000
Total1 222111 233
Accuracy
100.0%
Counts
1 233 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(/.f64 (-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
84.7%
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
47.2%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
53.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
100.0%
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
47.6%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
54.2%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
46.1%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
52.8%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 229 to 152 computations (33.6% saved)

simplify57.0ms (1%)

Memory
-17.9MiB live, 19.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 n f)
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 (-.f64 n f) (+.f64 n f))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
cost-diff0
(/.f64 #s(literal 2 binary64) n)
cost-diff0
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
cost-diff0
(-.f64 f n)
cost-diff0
(neg.f64 n)
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 n))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
cost-diff0
(/.f64 f (-.f64 f n))
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 n (-.f64 n f))
cost-diff896
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
023118
036120
164120
2112118
3185110
4365110
5758110
61304110
71613110
81759110
91837110
101882110
111883110
01883110
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f
(/.f64 f (-.f64 f n))
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
n
f
(+.f64 n f)
Outputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f
(/.f64 f (-.f64 f n))
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (-.f64 n f) (+.f64 f n))
(-.f64 n f)
n
f
(+.f64 n f)
(+.f64 f n)

localize51.0ms (0.9%)

Memory
17.3MiB live, 55.8MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 n f)
accuracy0.0
(+.f64 n f)
accuracy0.01953125
(/.f64 (-.f64 n f) (+.f64 n f))
accuracy0.02734375
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
accuracy0.0
(/.f64 #s(literal 2 binary64) n)
accuracy0.09765625
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
accuracy33.545884522840375
#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 n)
accuracy0.03515625
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy33.962741876242504
#s(approx (neg (+ f n)) (neg.f64 n))
accuracy34.52251210334714
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
accuracy0.0
(-.f64 f n)
accuracy0.015625
(/.f64 n (-.f64 n f))
accuracy0.0234375
(/.f64 f (-.f64 f n))
accuracy0.03515625
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
Samples
38.0ms256×0valid
Compiler

Compiled 224 to 44 computations (80.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 12.0ms (46.9% of total)
ival-add: 6.0ms (23.5% of total)
ival-sub: 4.0ms (15.6% of total)
ival-mult: 2.0ms (7.8% of total)
ival-neg: 2.0ms (7.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.2%)

Memory
-23.7MiB live, 14.7MiB allocated
Counts
15 → 119
Calls
Call 1
Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 n (-.f64 n f))
(-.f64 n f)
(/.f64 f (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(+.f64 n f)
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
n
(+ n (* -1 f))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(* -1 n)
(- (* -1 f) n)
(- f n)
(+ 1 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ f n)
-1
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2))))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3)))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 f)
(* f (- (/ n f) 1))
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(- (/ n f) (+ 1 (* -1 (/ n f))))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(* f (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(- n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(- (* -1 n) f)
(+ f (* -1 n))
(/ (+ n (* 2 f)) n)
(/ 2 n)
(- (* 2 (/ n f)) 1)
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(* n (+ 1 (* -1 (/ f n))))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(- (+ 1 (* -1 (/ f n))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(* n (+ 1 (/ f n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
n
@0
((- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (+ n f))
2.0ms
n
@inf
((- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (+ n f))
1.0ms
f
@inf
((- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (+ n f))
1.0ms
f
@0
((- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (+ n f))
1.0ms
n
@-inf
((- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ 1 (/ (- n f) (+ n f))) (/ (- n f) (+ n f)) (+ n f))

simplify222.0ms (3.7%)

Memory
-2.2MiB live, 282.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04991827
115991663
248421449
082241314
Stop Event
iter limit
node limit
Counts
119 → 117
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
n
(+ n (* -1 f))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(* -1 n)
(- (* -1 f) n)
(- f n)
(+ 1 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ f n)
-1
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2))))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3)))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 f)
(* f (- (/ n f) 1))
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(- (/ n f) (+ 1 (* -1 (/ n f))))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(* f (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(- n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(- (* -1 n) f)
(+ f (* -1 n))
(/ (+ n (* 2 f)) n)
(/ 2 n)
(- (* 2 (/ n f)) 1)
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(* n (+ 1 (* -1 (/ f n))))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(- (+ 1 (* -1 (/ f n))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(* n (+ 1 (/ f n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (/ f n))
(+.f64 (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
n
(+ n (* -1 f))
(-.f64 n f)
(* -1 (/ f n))
(/.f64 (neg.f64 f) n)
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 n n))) f (/.f64 #s(literal -1 binary64) n)) f)
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))) f (/.f64 #s(literal -1 binary64) (*.f64 n n))) f (/.f64 #s(literal -1 binary64) n)) f)
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- f n)
(-.f64 f n)
(+ 1 (* -2 (/ f n)))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64))
(+ f n)
(+.f64 f n)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2))))
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3)))))
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 n f)) (-.f64 (neg.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 n f) f) (fma.f64 n (/.f64 n f) n) #s(literal 1 binary64))))
(* -1 (/ n f))
(/.f64 (neg.f64 n) f)
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(*.f64 (/.f64 n f) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/.f64 (neg.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 n #s(literal 4 binary64))) (pow.f64 f #s(literal 3 binary64))) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(+ 1 (/ n f))
(+.f64 (/.f64 n f) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) (+.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
f
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(* 2 (/ f n))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 f #s(literal 3 binary64))) (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64)))
(- (/ n f) (+ 1 (* -1 (/ n f))))
(fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(+.f64 (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64)))
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(*.f64 (/.f64 n f) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(/.f64 (neg.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (pow.f64 n #s(literal 3 binary64))) f) (*.f64 n n)) f) n) (neg.f64 f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(+.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (* f (- (/ n f) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (*.f64 (*.f64 n n) (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal -2 binary64))) f) n) n) f) #s(literal 1 binary64))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 (/.f64 n f) f f)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(*.f64 (/.f64 n f) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal -1 binary64) f)) n)
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 3 binary64))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) n (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal -1 binary64) f)) n)
(- n f)
(-.f64 n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) (+.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) #s(literal 1 binary64)))
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(+ f (* -1 n))
(-.f64 f n)
(/ (+ n (* 2 f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(- (* 2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal -1 binary64))
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) f) f) (-.f64 (/.f64 n f) #s(literal 1 binary64))) n (/.f64 #s(literal 2 binary64) f)) n #s(literal -1 binary64))
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
(fma.f64 (/.f64 (/.f64 f n) n) (fma.f64 f (/.f64 f n) f) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal -2 binary64)) (pow.f64 (/.f64 f n) #s(literal 3 binary64)))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* n (+ 1 (* -1 (/ f n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) (neg.f64 n))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (neg.f64 (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f)) n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(- (+ 1 (* -1 (/ f n))) (/ f n))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64))
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) (neg.f64 n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) (pow.f64 f #s(literal 3 binary64))) n) (*.f64 f f)) n) f) (neg.f64 n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal 2 binary64))) n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 f f) (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal 2 binary64))) n)) n) #s(literal 1 binary64))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 f n) n n)

rewrite303.0ms (5.1%)

Memory
25.9MiB live, 218.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023100
036100
116498
2140998
0870198
Stop Event
iter limit
node limit
iter limit
Counts
15 → 790
Calls
Call 1
Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 n (-.f64 n f))
(-.f64 n f)
(/.f64 f (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(+.f64 n f)
Outputs
(*.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) #s(literal -1 binary64)))
(*.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 n f) f)) (pow.f64 (*.f64 (-.f64 f n) (-.f64 n f)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 n f)) (-.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 n f) f))) #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 3 binary64)) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)) (*.f64 (/.f64 (neg.f64 f) (-.f64 f n)) (/.f64 n (-.f64 n f))))))
(/.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 n f) f)) (-.f64 n f))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 n f) f)))) (neg.f64 (neg.f64 (*.f64 (-.f64 f n) (-.f64 n f)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 n) (neg.f64 (-.f64 f n))) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 f)))) (neg.f64 (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 f n)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 f n) f)) (*.f64 (neg.f64 (-.f64 n f)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (neg.f64 (-.f64 n f)) (/.f64 (-.f64 f n) f))))
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 n) (-.f64 f n)) (*.f64 (neg.f64 (-.f64 n f)) f))) (neg.f64 (*.f64 (neg.f64 (-.f64 n f)) (-.f64 f n))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 f n))) (*.f64 (/.f64 (-.f64 n f) n) (neg.f64 f)))) (neg.f64 (*.f64 (/.f64 (-.f64 n f) n) (neg.f64 (-.f64 f n)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (-.f64 f n) f) (*.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)))) (neg.f64 (*.f64 (/.f64 (-.f64 n f) n) (/.f64 (-.f64 f n) f))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (/.f64 (-.f64 n f) n) f))) (neg.f64 (*.f64 (/.f64 (-.f64 n f) n) (-.f64 f n))))
(/.f64 (neg.f64 (-.f64 (*.f64 n (neg.f64 (-.f64 f n))) (*.f64 (-.f64 n f) (neg.f64 f)))) (neg.f64 (*.f64 (-.f64 n f) (neg.f64 (-.f64 f n)))))
(/.f64 (neg.f64 (-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))) (*.f64 (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 2 binary64)))) (*.f64 (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 3 binary64)) (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64))) (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 3 binary64)))) (*.f64 (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64))) (fma.f64 (/.f64 f (-.f64 f n)) (+.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))) (pow.f64 (/.f64 n (-.f64 n f)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 f n) (-.f64 n f))) (*.f64 (*.f64 (-.f64 f n) (-.f64 n f)) (*.f64 (-.f64 n f) f))) (*.f64 (*.f64 (-.f64 f n) (-.f64 n f)) (*.f64 (-.f64 f n) (-.f64 n f))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (neg.f64 (neg.f64 (-.f64 f n)))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (neg.f64 (neg.f64 f)))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (-.f64 f n)) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (*.f64 f #s(literal 1 binary64)))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (neg.f64 (-.f64 f n))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (neg.f64 f))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (neg.f64 (-.f64 f n))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (neg.f64 (/.f64 (-.f64 f n) f))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) #s(literal -1 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (/.f64 (-.f64 f n) f)) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) #s(literal 1 binary64))) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (/.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 n)) (-.f64 f n)) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) f)) (*.f64 (neg.f64 (neg.f64 (-.f64 n f))) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (neg.f64 (neg.f64 (-.f64 f n)))) (*.f64 (-.f64 n f) (neg.f64 (neg.f64 f)))) (*.f64 (-.f64 n f) (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (-.f64 f n)) (*.f64 (-.f64 n f) (*.f64 f #s(literal 1 binary64)))) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (neg.f64 (-.f64 f n))) (*.f64 (-.f64 n f) (neg.f64 f))) (*.f64 (-.f64 n f) (neg.f64 (-.f64 f n))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (neg.f64 (/.f64 (-.f64 f n) f))) (*.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 (-.f64 n f) (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal 1 binary64)) (-.f64 f n)) (*.f64 (-.f64 n f) f)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (-.f64 f n)))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (neg.f64 (neg.f64 f)))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 (-.f64 (neg.f64 (-.f64 f n)) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (*.f64 f #s(literal 1 binary64)))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (-.f64 f n))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (neg.f64 f))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (neg.f64 (-.f64 f n))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) f))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) f)) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (/.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (neg.f64 (-.f64 f n)) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) f)) (*.f64 (neg.f64 (/.f64 (-.f64 n f) n)) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (neg.f64 (neg.f64 (-.f64 f n)))) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (neg.f64 f)))) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (-.f64 f n)) (*.f64 (neg.f64 (-.f64 n f)) (*.f64 f #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 n f)) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (neg.f64 (/.f64 (-.f64 f n) f))) (*.f64 (neg.f64 (-.f64 n f)) #s(literal -1 binary64))) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 n f)) #s(literal 1 binary64))) (*.f64 (neg.f64 (-.f64 n f)) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
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(neg.f64 (neg.f64 (+.f64 f n)))
(-.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (/.f64 (*.f64 n n) (-.f64 f n)))
(-.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (/.f64 (*.f64 f f) (-.f64 n f)))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 f n)))
(+.f64 (neg.f64 (neg.f64 f)) (neg.f64 (neg.f64 n)))
(+.f64 f n)
(+.f64 n f)

eval353.0ms (5.9%)

Memory
-4.6MiB live, 282.6MiB allocated
Compiler

Compiled 23 810 to 2 804 computations (88.2% saved)

prune19.0ms (0.3%)

Memory
-25.5MiB live, 60.9MiB allocated
Pruning

11 alts after pruning (2 fresh and 9 done)

PrunedKeptTotal
New9580958
Fresh022
Picked055
Done044
Total95811969
Accuracy
100.0%
Counts
969 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
78.5%
(/.f64 (-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
84.7%
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
47.2%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
53.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
100.0%
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
47.6%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
54.2%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
46.1%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
52.8%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 136 to 92 computations (32.4% saved)

simplify165.0ms (2.8%)

Memory
26.4MiB live, 134.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 n (/.f64 (-.f64 f n) f))
cost-diff192
(-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64)))
cost-diff320
(*.f64 (-.f64 n f) #s(literal 1 binary64))
cost-diff2432
(/.f64 (-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
cost-diff0
(/.f64 f n)
cost-diff0
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
cost-diff0
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
cost-diff896
(fma.f64 (/.f64 f n) n n)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
016109
028103
165103
218086
362178
4399578
0861978
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
(fma.f64 (/.f64 f n) n n)
(/.f64 f n)
f
n
(-.f64 n f)
(/.f64 (-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
(-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64)))
(*.f64 n (/.f64 (-.f64 f n) f))
n
(/.f64 (-.f64 f n) f)
(-.f64 f n)
f
(*.f64 (-.f64 n f) #s(literal 1 binary64))
(-.f64 n f)
#s(literal 1 binary64)
(*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))
Outputs
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
(/.f64 #s(approx (+ n f) (+.f64 f n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
#s(approx (+ n f) (+.f64 f n))
(fma.f64 (/.f64 f n) n n)
(+.f64 f n)
(/.f64 f n)
f
n
(-.f64 n f)
(/.f64 (-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (-.f64 f n))
(*.f64 n (/.f64 (-.f64 f n) f))
(*.f64 (/.f64 (-.f64 f n) f) n)
n
(/.f64 (-.f64 f n) f)
(-.f64 f n)
f
(*.f64 (-.f64 n f) #s(literal 1 binary64))
(-.f64 n f)
(-.f64 n f)
#s(literal 1 binary64)
(*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))
(*.f64 (/.f64 (-.f64 n f) f) (-.f64 f n))

localize89.0ms (1.5%)

Memory
-5.3MiB live, 117.5MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64)))
accuracy0.0390625
(*.f64 n (/.f64 (-.f64 f n) f))
accuracy0.04296875
(*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))
accuracy13.336088807795393
(/.f64 (-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
accuracy0.0
(-.f64 n f)
accuracy0.0
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
accuracy0.03515625
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
accuracy9.397179607632548
(fma.f64 (/.f64 f n) n n)
Samples
76.0ms256×0valid
Compiler

Compiled 207 to 34 computations (83.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-div: 29.0ms (70% of total)
ival-mult: 6.0ms (14.5% of total)
ival-sub: 4.0ms (9.7% of total)
ival-add: 3.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series12.0ms (0.2%)

Memory
14.8MiB live, 14.8MiB allocated
Counts
10 → 63
Calls
Call 1
Inputs
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
(/.f64 f n)
(/.f64 (-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
(*.f64 (-.f64 n f) #s(literal 1 binary64))
(-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64)))
(*.f64 n (/.f64 (-.f64 f n) f))
(-.f64 n f)
(*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))
Outputs
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)))))
(/ f n)
(+ n (* -1 f))
(* -1 (/ (pow n 2) f))
(/ (+ (* -1 (pow n 2)) (pow f 2)) f)
(/ (+ (* -1 (pow n 2)) (* f n)) f)
(/ (+ (* -1 (pow n 2)) (* 2 (* f n))) f)
(/ (+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n)))) f)
f
(* f (+ 1 (/ n f)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(- (* -2 (/ n f)) 1)
(- (/ (pow n 2) (pow f 2)) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
(- (+ (* -1 (/ (+ (* -2 (* n (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))))) (* -2 (pow n 3))) (pow f 3))) (/ (pow n 2) (pow f 2))) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
(* -1 f)
(* f (- (/ n f) 1))
(* f (+ 1 (* -1 (/ (pow n 2) (pow f 2)))))
(+ n (* -1 (/ (pow n 2) f)))
(* f (- (* 2 (/ n f)) 1))
(* f (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(- (* -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)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (- (/ (pow n 2) (pow f 2)) 1)))
(* -1 (* f (+ 1 (* -2 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ (+ (* -1 (/ (pow n 2) f)) (* 2 n)) f)))))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- n f)
(+ f (* -1 (/ (pow n 2) f)))
(* n (+ 1 (* -1 (/ n f))))
(+ (* -1 f) (* 2 n))
(+ (* -1 f) (* n (+ 2 (* -1 (/ n f)))))
(* n (+ 1 (/ f n)))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(- (+ 1 (* -1 (/ (pow f 2) (pow n 2)))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (* f (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))))) (* 2 (pow f 3))) (pow n 3))) (* -1 (/ (pow f 2) (pow n 2))))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))))
(* n (+ 1 (* -1 (/ f n))))
(* (pow n 2) (- (/ f (pow n 2)) (/ 1 f)))
(* (pow n 2) (- (/ 1 n) (/ 1 f)))
(* (pow n 2) (- (* 2 (/ 1 n)) (/ 1 f)))
(* (pow n 2) (- (+ (* -1 (/ f (pow n 2))) (* 2 (/ 1 n))) (/ 1 f)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+ 1 (* -1 (/ (- (+ (* -2 f) (/ (pow f 2) n)) (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n)))) n)))
(+ 1 (* -1 (/ (+ (* -2 f) (* -1 (/ (+ (* -1 (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2))))) (* -1 (/ (+ (* 2 (* f (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))))) (* 2 (pow f 3))) n))) n))) n)))
(* -1 (* n (- (/ f n) 1)))
(* (pow n 2) (- (* -1 (/ (- (/ f n) 2) n)) (/ 1 f)))
Calls

6 calls:

TimeVariablePointExpression
3.0ms
f
@0
((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f))) (* (- n f) 1) (- (* n (/ (- f n) f)) (* (- n f) 1)) (* n (/ (- f n) f)) (- n f) (* (- n f) (/ (- f n) f)))
2.0ms
n
@-inf
((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f))) (* (- n f) 1) (- (* n (/ (- f n) f)) (* (- n f) 1)) (* n (/ (- f n) f)) (- n f) (* (- n f) (/ (- f n) f)))
2.0ms
f
@inf
((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f))) (* (- n f) 1) (- (* n (/ (- f n) f)) (* (- n f) 1)) (* n (/ (- f n) f)) (- n f) (* (- n f) (/ (- f n) f)))
2.0ms
n
@inf
((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f))) (* (- n f) 1) (- (* n (/ (- f n) f)) (* (- n f) 1)) (* n (/ (- f n) f)) (- n f) (* (- n f) (/ (- f n) f)))
2.0ms
f
@-inf
((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (/ (- (* n (/ (- f n) f)) (* (- n f) 1)) (* (- n f) (/ (- f n) f))) (* (- n f) 1) (- (* n (/ (- f n) f)) (* (- n f) 1)) (* n (/ (- f n) f)) (- n f) (* (- n f) (/ (- f n) f)))

simplify151.0ms (2.5%)

Memory
-17.2MiB live, 174.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0284955
1867882
22805754
08251703
Stop Event
iter limit
node limit
Counts
63 → 61
Calls
Call 1
Inputs
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)))))
(/ f n)
(+ n (* -1 f))
(* -1 (/ (pow n 2) f))
(/ (+ (* -1 (pow n 2)) (pow f 2)) f)
(/ (+ (* -1 (pow n 2)) (* f n)) f)
(/ (+ (* -1 (pow n 2)) (* 2 (* f n))) f)
(/ (+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n)))) f)
f
(* f (+ 1 (/ n f)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(- (* -2 (/ n f)) 1)
(- (/ (pow n 2) (pow f 2)) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
(- (+ (* -1 (/ (+ (* -2 (* n (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))))) (* -2 (pow n 3))) (pow f 3))) (/ (pow n 2) (pow f 2))) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
(* -1 f)
(* f (- (/ n f) 1))
(* f (+ 1 (* -1 (/ (pow n 2) (pow f 2)))))
(+ n (* -1 (/ (pow n 2) f)))
(* f (- (* 2 (/ n f)) 1))
(* f (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(- (* -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)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (- (/ (pow n 2) (pow f 2)) 1)))
(* -1 (* f (+ 1 (* -2 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ (+ (* -1 (/ (pow n 2) f)) (* 2 n)) f)))))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- n f)
(+ f (* -1 (/ (pow n 2) f)))
(* n (+ 1 (* -1 (/ n f))))
(+ (* -1 f) (* 2 n))
(+ (* -1 f) (* n (+ 2 (* -1 (/ n f)))))
(* n (+ 1 (/ f n)))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(- (+ 1 (* -1 (/ (pow f 2) (pow n 2)))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (* f (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))))) (* 2 (pow f 3))) (pow n 3))) (* -1 (/ (pow f 2) (pow n 2))))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))))
(* n (+ 1 (* -1 (/ f n))))
(* (pow n 2) (- (/ f (pow n 2)) (/ 1 f)))
(* (pow n 2) (- (/ 1 n) (/ 1 f)))
(* (pow n 2) (- (* 2 (/ 1 n)) (/ 1 f)))
(* (pow n 2) (- (+ (* -1 (/ f (pow n 2))) (* 2 (/ 1 n))) (/ 1 f)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+ 1 (* -1 (/ (- (+ (* -2 f) (/ (pow f 2) n)) (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n)))) n)))
(+ 1 (* -1 (/ (+ (* -2 f) (* -1 (/ (+ (* -1 (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2))))) (* -1 (/ (+ (* 2 (* f (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))))) (* 2 (pow f 3))) n))) n))) n)))
(* -1 (* n (- (/ f n) 1)))
(* (pow n 2) (- (* -1 (/ (- (/ f n) 2) n)) (/ 1 f)))
Outputs
n
(+ f n)
(+.f64 n f)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(/ f n)
(/.f64 f n)
(+ n (* -1 f))
(-.f64 n f)
(* -1 (/ (pow n 2) f))
(*.f64 (neg.f64 n) (/.f64 n f))
(/ (+ (* -1 (pow n 2)) (pow f 2)) f)
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) f)
(/ (+ (* -1 (pow n 2)) (* f n)) f)
(/.f64 (*.f64 n (-.f64 f n)) f)
(/ (+ (* -1 (pow n 2)) (* 2 (* f n))) f)
(/.f64 (*.f64 n (-.f64 (*.f64 #s(literal 2 binary64) f) n)) f)
(/ (+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n)))) f)
(/.f64 (fma.f64 (neg.f64 n) n (*.f64 (fma.f64 #s(literal 2 binary64) n (neg.f64 f)) f)) f)
f
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(+.f64 (fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 f #s(literal 3 binary64))))
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (/ (pow n 2) (pow f 2)) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
(fma.f64 (/.f64 n f) (/.f64 n f) (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 n n) f) f) #s(literal 3 binary64) (*.f64 (/.f64 n f) #s(literal 2 binary64)))))
(- (+ (* -1 (/ (+ (* -2 (* n (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))))) (* -2 (pow n 3))) (pow f 3))) (/ (pow n 2) (pow f 2))) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 n (fma.f64 (*.f64 #s(literal 2 binary64) n) n (*.f64 #s(literal -3 binary64) (*.f64 n n)))) (pow.f64 f #s(literal 3 binary64))) (fma.f64 (/.f64 n f) (/.f64 n f) (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 n n) f) f) #s(literal 3 binary64) (*.f64 (/.f64 n f) #s(literal 2 binary64))))))
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(fma.f64 (/.f64 n f) f (neg.f64 f))
(* f (+ 1 (* -1 (/ (pow n 2) (pow f 2)))))
(*.f64 (fma.f64 (/.f64 n (neg.f64 f)) (/.f64 n f) #s(literal 1 binary64)) f)
(+ n (* -1 (/ (pow n 2) f)))
(fma.f64 (neg.f64 n) (/.f64 n f) n)
(* f (- (* 2 (/ n f)) 1))
(*.f64 (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)) f)
(* f (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))
(*.f64 (fma.f64 (/.f64 n f) (-.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal -1 binary64)) f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 (/.f64 n f) f f)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) n) (fma.f64 (/.f64 n f) n n)) f)) f))
(- (* -1 (/ (- (* -1 (/ (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* -2 n)) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 n (-.f64 n (*.f64 n #s(literal 3 binary64)))) f)) f) #s(literal 1 binary64))
(- (* -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)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (/.f64 n f) (fma.f64 (*.f64 #s(literal 2 binary64) n) n (*.f64 #s(literal -3 binary64) (*.f64 n n)))) (*.f64 n (-.f64 n (*.f64 n #s(literal 3 binary64))))) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(fma.f64 (/.f64 n f) f (neg.f64 f))
(* -1 (* f (- (/ (pow n 2) (pow f 2)) 1)))
(*.f64 (fma.f64 (/.f64 n (neg.f64 f)) (/.f64 n f) #s(literal 1 binary64)) f)
(* -1 (* f (+ 1 (* -2 (/ n f)))))
(*.f64 (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)) f)
(* -1 (* f (+ 1 (* -1 (/ (+ (* -1 (/ (pow n 2) f)) (* 2 n)) f)))))
(*.f64 (fma.f64 (/.f64 n f) (-.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal -1 binary64)) f)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -2 binary64) f) f)) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- n f)
(-.f64 n f)
(+ f (* -1 (/ (pow n 2) f)))
(fma.f64 (neg.f64 n) (/.f64 n f) f)
(* n (+ 1 (* -1 (/ n f))))
(fma.f64 (neg.f64 n) (/.f64 n f) n)
(+ (* -1 f) (* 2 n))
(fma.f64 #s(literal 2 binary64) n (neg.f64 f))
(+ (* -1 f) (* n (+ 2 (* -1 (/ n f)))))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 n f)) n (neg.f64 f))
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(- (+ 1 (* -1 (/ (pow f 2) (pow n 2)))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))))
(-.f64 (*.f64 (*.f64 f (/.f64 (/.f64 f n) n)) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 2 binary64))) #s(literal 1 binary64)))
(- (+ 1 (+ (* -1 (/ (+ (* -2 (* f (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))))) (* 2 (pow f 3))) (pow n 3))) (* -1 (/ (pow f 2) (pow n 2))))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))))
(-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 2 binary64))) (pow.f64 n #s(literal 3 binary64))) (-.f64 (*.f64 (*.f64 f (/.f64 (/.f64 f n) n)) #s(literal 3 binary64)) (*.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 2 binary64))))))
(* n (+ 1 (* -1 (/ f n))))
(fma.f64 (/.f64 (neg.f64 f) n) n n)
(* (pow n 2) (- (/ f (pow n 2)) (/ 1 f)))
(*.f64 (-.f64 (/.f64 (/.f64 f n) n) (/.f64 #s(literal 1 binary64) f)) (*.f64 n n))
(* (pow n 2) (- (/ 1 n) (/ 1 f)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) f)) (*.f64 n n))
(* (pow n 2) (- (* 2 (/ 1 n)) (/ 1 f)))
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 #s(literal 1 binary64) f)) (*.f64 n n))
(* (pow n 2) (- (+ (* -1 (/ f (pow n 2))) (* 2 (/ 1 n))) (/ 1 f)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 (-.f64 (/.f64 f n) #s(literal 2 binary64)) n)) (*.f64 n n))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 f n) n n)
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+.f64 (/.f64 (*.f64 f (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -2 f) (/ (pow f 2) n)) (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n)))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 f (/.f64 f n)) (*.f64 f (-.f64 (/.f64 f n) #s(literal 2 binary64)))) n))
(+ 1 (* -1 (/ (+ (* -2 f) (* -1 (/ (+ (* -1 (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2))))) (* -1 (/ (+ (* 2 (* f (- (pow f 2) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))))) (* 2 (pow f 3))) n))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 f f) (*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (*.f64 f f)) f (pow.f64 f #s(literal 3 binary64))) n))) n)) n))
(* -1 (* n (- (/ f n) 1)))
(fma.f64 (/.f64 (neg.f64 f) n) n n)
(* (pow n 2) (- (* -1 (/ (- (/ f n) 2) n)) (/ 1 f)))
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 (-.f64 (/.f64 f n) #s(literal 2 binary64)) n)) (*.f64 n n))

rewrite249.0ms (4.2%)

Memory
3.9MiB live, 256.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01693
02887
113887
2120382
0870279
Stop Event
iter limit
node limit
iter limit
Counts
10 → 786
Calls
Call 1
Inputs
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
(/.f64 f n)
(/.f64 (-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
(*.f64 (-.f64 n f) #s(literal 1 binary64))
(-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64)))
(*.f64 n (/.f64 (-.f64 f n) f))
(-.f64 n f)
(*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f))
Outputs
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(*.f64 (fma.f64 (*.f64 f f) #s(literal 1 binary64) (*.f64 (neg.f64 n) n)) (pow.f64 (fma.f64 f #s(literal 1 binary64) (neg.f64 n)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 f f) #s(literal 1 binary64) (*.f64 n (-.f64 n (*.f64 f #s(literal 1 binary64))))) #s(literal -1 binary64)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f #s(literal 1 binary64) n)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 f f) #s(literal 1 binary64)) (fma.f64 f #s(literal 1 binary64) (neg.f64 n))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 n n) (fma.f64 f #s(literal 1 binary64) (neg.f64 n))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 f f) #s(literal 1 binary64)) (fma.f64 f #s(literal 1 binary64) (neg.f64 n))) (/.f64 (*.f64 (*.f64 f f) #s(literal 1 binary64)) (fma.f64 f #s(literal 1 binary64) (neg.f64 n))) (fma.f64 (/.f64 (*.f64 n n) (fma.f64 f #s(literal 1 binary64) (neg.f64 n))) (/.f64 (*.f64 n n) (fma.f64 f #s(literal 1 binary64) (neg.f64 n))) (*.f64 (/.f64 (*.f64 (*.f64 f f) #s(literal 1 binary64)) (fma.f64 f #s(literal 1 binary64) (neg.f64 n))) (/.f64 (*.f64 n n) (fma.f64 f #s(literal 1 binary64) (neg.f64 n)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 n n) (*.f64 (*.f64 f f) #s(literal 1 binary64)))) (neg.f64 (-.f64 n (*.f64 f #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 f f) #s(literal 1 binary64) (*.f64 (neg.f64 n) n)))) (neg.f64 (neg.f64 (fma.f64 f #s(literal 1 binary64) (neg.f64 n)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 f f) #s(literal 1 binary64) (*.f64 n (-.f64 n (*.f64 f #s(literal 1 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 f f) #s(literal 1 binary64)) (fma.f64 f #s(literal 1 binary64) (neg.f64 n))) (*.f64 (fma.f64 f #s(literal 1 binary64) (neg.f64 n)) (*.f64 n n))) (*.f64 (fma.f64 f #s(literal 1 binary64) (neg.f64 n)) (fma.f64 f #s(literal 1 binary64) (neg.f64 n))))
(/.f64 (-.f64 (*.f64 n n) (*.f64 (*.f64 f f) #s(literal 1 binary64))) (-.f64 n (*.f64 f #s(literal 1 binary64))))
(/.f64 (neg.f64 (fma.f64 (*.f64 f f) #s(literal 1 binary64) (*.f64 (neg.f64 n) n))) (neg.f64 (fma.f64 f #s(literal 1 binary64) (neg.f64 n))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 n n (-.f64 (*.f64 (*.f64 f f) #s(literal 1 binary64)) (*.f64 (*.f64 f #s(literal 1 binary64)) n)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 f f) #s(literal 1 binary64) (*.f64 n (-.f64 n (*.f64 f #s(literal 1 binary64)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f #s(literal 1 binary64) n))))
(/.f64 (fma.f64 (*.f64 f f) #s(literal 1 binary64) (*.f64 (neg.f64 n) n)) (fma.f64 f #s(literal 1 binary64) (neg.f64 n)))
(/.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (fma.f64 n n (-.f64 (*.f64 (*.f64 f f) #s(literal 1 binary64)) (*.f64 (*.f64 f #s(literal 1 binary64)) n))))
(/.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 f f) #s(literal 1 binary64) (*.f64 n (-.f64 n (*.f64 f #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n (*.f64 f #s(literal 1 binary64))) (-.f64 (*.f64 n n) (*.f64 (*.f64 f f) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n n (-.f64 (*.f64 (*.f64 f f) #s(literal 1 binary64)) (*.f64 (*.f64 f #s(literal 1 binary64)) n))) (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f #s(literal 1 binary64) n)))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 (neg.f64 f) n) n)
(fma.f64 (/.f64 n n) (/.f64 f #s(literal 1 binary64)) n)
(fma.f64 (/.f64 f #s(literal 1 binary64)) (/.f64 n n) n)
(fma.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 n (pow.f64 f #s(literal -1 binary64))) n)
(fma.f64 (*.f64 n f) (pow.f64 n #s(literal -1 binary64)) n)
(fma.f64 (/.f64 f n) n n)
(fma.f64 n (/.f64 f n) n)
(fma.f64 f (/.f64 n n) n)
(fma.f64 f #s(literal 1 binary64) n)
(-.f64 (/.f64 (*.f64 n n) (-.f64 n (*.f64 f #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 f f) #s(literal 1 binary64)) (-.f64 n (*.f64 f #s(literal 1 binary64)))))
(-.f64 (/.f64 (*.f64 (*.f64 f f) #s(literal 1 binary64)) (fma.f64 f #s(literal 1 binary64) (neg.f64 n))) (/.f64 (*.f64 n n) (fma.f64 f #s(literal 1 binary64) (neg.f64 n))))
(+.f64 (*.f64 f #s(literal 1 binary64)) n)
(+.f64 n (*.f64 f #s(literal 1 binary64)))
(*.f64 (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) (/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (+.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 n n (*.f64 f (-.f64 f n))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) (*.f64 (/.f64 (+.f64 n f) (+.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f))
(*.f64 (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) (neg.f64 (-.f64 n f))))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)))
(*.f64 (neg.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n))) (pow.f64 (neg.f64 (-.f64 n f)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) (-.f64 n f)))
(*.f64 (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) (-.f64 n f)) #s(literal 1 binary64))
(*.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(pow.f64 (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n))) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) #s(literal 1 binary64))) (neg.f64 (-.f64 n f)))
(/.f64 (neg.f64 (*.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) #s(literal 1 binary64))) (neg.f64 (-.f64 n f)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 n f)))))
(/.f64 (neg.f64 (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) (-.f64 n f))) #s(literal -1 binary64))
(/.f64 (/.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) #s(literal 1 binary64)) (-.f64 n f))
(/.f64 (*.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)) #s(literal 1 binary64)) (-.f64 n f))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)))) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 n f) #s(approx (+ n f) (fma.f64 f #s(literal 1 binary64) n)))))
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(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 f n)) (-.f64 n f))) (neg.f64 (neg.f64 f)))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 f n) f))) (neg.f64 (+.f64 n f)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 (-.f64 f n) f))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 f n) f) (*.f64 (+.f64 n f) (-.f64 n f)))) (neg.f64 (+.f64 n f)))
(/.f64 (neg.f64 (*.f64 (/.f64 (-.f64 f n) f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (neg.f64 (*.f64 (-.f64 n f) (neg.f64 (-.f64 f n)))) (neg.f64 (neg.f64 f)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (-.f64 f n) (-.f64 n f)))) (neg.f64 (neg.f64 f)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 n f)))) (neg.f64 (*.f64 (neg.f64 f) (+.f64 n f))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 f n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (*.f64 (neg.f64 f) (fma.f64 n n (*.f64 f (+.f64 n f))))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f)))) (neg.f64 (*.f64 (/.f64 f (-.f64 f n)) (+.f64 n f))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (*.f64 (/.f64 f (-.f64 f n)) (fma.f64 n n (*.f64 f (+.f64 n f))))))
(/.f64 (neg.f64 (*.f64 (-.f64 f n) (*.f64 (+.f64 n f) (-.f64 n f)))) (neg.f64 (*.f64 f (+.f64 n f))))
(/.f64 (neg.f64 (*.f64 (-.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (*.f64 f (fma.f64 n n (*.f64 f (+.f64 n f))))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (neg.f64 (-.f64 f n)))) (neg.f64 (*.f64 (+.f64 n f) (neg.f64 f))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 n f) (/.f64 f (-.f64 f n)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 f n))) (neg.f64 (*.f64 (+.f64 n f) f)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (-.f64 f n)))) (neg.f64 (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (neg.f64 f))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 f (-.f64 f n)))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.f64 f n))) (neg.f64 (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) f)))
(/.f64 (*.f64 (neg.f64 (-.f64 f n)) (-.f64 n f)) (neg.f64 f))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 f n) f)) (+.f64 n f))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 (-.f64 f n) f)) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (*.f64 (/.f64 (-.f64 f n) f) (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f))
(/.f64 (*.f64 (/.f64 (-.f64 f n) f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(/.f64 (*.f64 (-.f64 n f) (neg.f64 (-.f64 f n))) (neg.f64 f))
(/.f64 (neg.f64 (*.f64 (-.f64 f n) (-.f64 n f))) (neg.f64 f))
(/.f64 (*.f64 (neg.f64 (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (neg.f64 f) (+.f64 n f)))
(/.f64 (*.f64 (neg.f64 (-.f64 f n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (neg.f64 f) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (/.f64 f (-.f64 f n)) (+.f64 n f)))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (/.f64 f (-.f64 f n)) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (*.f64 (-.f64 f n) (*.f64 (+.f64 n f) (-.f64 n f))) (*.f64 f (+.f64 n f)))
(/.f64 (*.f64 (-.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (neg.f64 (-.f64 f n))) (*.f64 (+.f64 n f) (neg.f64 f)))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64)) (*.f64 (+.f64 n f) (/.f64 f (-.f64 f n))))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 f n)) (*.f64 (+.f64 n f) f))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (-.f64 f n))) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (neg.f64 f)))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 f (-.f64 f n))))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.f64 f n)) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) f))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 f (-.f64 f n)) (-.f64 n f))))
(/.f64 (*.f64 (-.f64 f n) (-.f64 n f)) f)
(/.f64 (*.f64 (neg.f64 (-.f64 n f)) (/.f64 (-.f64 f n) f)) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 n f)) (neg.f64 (/.f64 f (-.f64 f n))))
(/.f64 (*.f64 (/.f64 (-.f64 n f) f) (-.f64 f n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) (*.f64 (neg.f64 (-.f64 f n)) (-.f64 n f))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (/.f64 (-.f64 f n) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 (-.f64 f n) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (*.f64 (/.f64 (-.f64 f n) f) (*.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (*.f64 (/.f64 (-.f64 f n) f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) (*.f64 (-.f64 n f) (neg.f64 (-.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 f) (+.f64 n f)) (*.f64 (neg.f64 (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 f) (fma.f64 n n (*.f64 f (+.f64 n f)))) (*.f64 (neg.f64 (-.f64 f n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 f (-.f64 f n)) (+.f64 n f)) (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 f (-.f64 f n)) (fma.f64 n n (*.f64 f (+.f64 n f)))) (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 n f)) (*.f64 (-.f64 f n) (*.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (fma.f64 n n (*.f64 f (+.f64 n f)))) (*.f64 (-.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 n f) (neg.f64 f)) (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (neg.f64 (-.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 n f) (/.f64 f (-.f64 f n))) (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 n f) f) (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (neg.f64 f)) (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (-.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 f (-.f64 f n))) (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) f) (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 f (-.f64 f n)) (-.f64 n f)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 f (-.f64 f n)) (-.f64 n f)))
(/.f64 (-.f64 n f) (/.f64 f (-.f64 f n)))
(fma.f64 (/.f64 n (/.f64 f (*.f64 (+.f64 n f) (-.f64 f n)))) (pow.f64 (+.f64 n f) #s(literal -1 binary64)) (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(fma.f64 (/.f64 n (/.f64 f (*.f64 (+.f64 n f) (-.f64 f n)))) (pow.f64 (+.f64 n f) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))
(fma.f64 (/.f64 n (/.f64 f (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) #s(literal -1 binary64)) (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(fma.f64 (/.f64 n (/.f64 f (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))
(fma.f64 (/.f64 (neg.f64 (-.f64 f n)) #s(literal -1 binary64)) (/.f64 n f) (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(fma.f64 (/.f64 (neg.f64 (-.f64 f n)) #s(literal -1 binary64)) (/.f64 n f) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 n (+.f64 n f)) (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 n (+.f64 n f)) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 f (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 n (fma.f64 n (+.f64 n f) (*.f64 f f))) (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 f (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (/.f64 n (fma.f64 n (+.f64 n f) (*.f64 f f))) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 f n)) f) (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 f n)) f) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))
(fma.f64 (*.f64 (-.f64 f n) n) (pow.f64 f #s(literal -1 binary64)) (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(fma.f64 (*.f64 (-.f64 f n) n) (pow.f64 f #s(literal -1 binary64)) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))
(fma.f64 (pow.f64 f #s(literal -1 binary64)) (/.f64 n (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(fma.f64 (pow.f64 f #s(literal -1 binary64)) (/.f64 n (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))
(fma.f64 (/.f64 n f) (-.f64 f n) (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(fma.f64 (/.f64 n f) (-.f64 f n) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))
(fma.f64 (/.f64 (-.f64 f n) f) n (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(fma.f64 (/.f64 (-.f64 f n) f) n (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))
(fma.f64 (-.f64 f n) (*.f64 (pow.f64 f #s(literal -1 binary64)) n) (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(fma.f64 (-.f64 f n) (*.f64 (pow.f64 f #s(literal -1 binary64)) n) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))
(fma.f64 n (/.f64 (-.f64 f n) f) (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(fma.f64 n (/.f64 (-.f64 f n) f) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))
(-.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n n (*.f64 f (+.f64 n f)))) (/.f64 f (-.f64 f n))) (/.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n n (*.f64 f (+.f64 n f)))) (/.f64 f (-.f64 f n))))
(-.f64 (/.f64 (/.f64 (*.f64 n n) (+.f64 n f)) (/.f64 f (-.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (+.f64 n f)) (/.f64 f (-.f64 f n))))
(-.f64 (*.f64 (/.f64 (-.f64 f n) f) n) (/.f64 f (/.f64 f (-.f64 f n))))
(+.f64 (*.f64 (/.f64 (-.f64 f n) f) n) (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) f)))
(+.f64 (*.f64 (/.f64 (-.f64 f n) f) n) (*.f64 (/.f64 (-.f64 f n) f) (neg.f64 f)))

eval158.0ms (2.7%)

Memory
12.5MiB live, 127.5MiB allocated
Compiler

Compiled 28 170 to 2 766 computations (90.2% saved)

prune20.0ms (0.3%)

Memory
5.0MiB live, 41.5MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New7651766
Fresh000
Picked112
Done099
Total76611777
Accuracy
100.0%
Counts
777 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
84.7%
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
84.7%
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 n f)) n n)) (-.f64 n f))
47.2%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
53.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
99.9%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
100.0%
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
47.6%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
54.2%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
46.1%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
52.8%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 318 to 150 computations (52.8% saved)

regimes30.0ms (0.5%)

Memory
-20.3MiB live, 18.5MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.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) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 n f)) n n)) (-.f64 n f))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (-.f64 f n))
(/.f64 (-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
Outputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
Calls

3 calls:

19.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
5.0ms
n
5.0ms
f
Results
AccuracySegmentsBranch
100.0%1f
100.0%1n
100.0%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes10.0ms (0.2%)

Memory
13.5MiB live, 13.5MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
Calls

3 calls:

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

Compiled 10 to 10 computations (0% saved)

regimes8.0ms (0.1%)

Memory
11.1MiB live, 11.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Calls

3 calls:

3.0ms
f
3.0ms
n
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
80.2%3f
76.9%3n
98.7%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes12.0ms (0.2%)

Memory
-35.0MiB live, 3.5MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

11.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.0%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.3%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
2.6MiB live, 2.6MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.3%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes1.0ms (0%)

Memory
2.3MiB live, 2.3MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.2%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
n
1.0ms
f
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
52.8%1n
52.8%1f
52.8%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9767477734494462
0.7700927254663423
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9767477734494462
0.7700927254663423
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9767477734494462
0.7700927254663423
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9767477734494462
0.7700927254663423
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch14.0ms (0.2%)

Memory
14.2MiB live, 14.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-0.9767477734494462
0.7700927254663423
Samples
5.0ms240×0valid
Compiler

Compiled 311 to 281 computations (9.6% saved)

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

simplify438.0ms (7.4%)

Memory
-27.6MiB live, 53.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043202
168202
2104202
3156195
4260195
5511195
61762195
74220195
Stop Event
node limit
Calls
Call 1
Inputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Outputs
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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))

soundness1.1s (19.2%)

Memory
29.4MiB live, 525.6MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0618
01018
14618
232717
0554717
0145384
1448349
21348314
35264304
08383278
02395
03692
115787
2139687
0868387
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
Compiler

Compiled 306 to 122 computations (60.1% saved)

preprocess59.0ms (1%)

Memory
-1.6MiB live, 117.9MiB allocated
Compiler

Compiled 420 to 98 computations (76.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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