subtraction fraction

Time bar (total: 4.9s)

start0.0ms (0%)

Memory
0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze65.0ms (1.3%)

Memory
-9.7MiB live, 29.9MiB allocated; 183ms collecting garbage
Algorithm
1×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)

sample985.0ms (20.2%)

Memory
36.9MiB live, 843.5MiB allocated; 856ms collecting garbage
Samples
409.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 221.0ms
ival-div: 60.0ms (27.1% of total)
ival-add: 55.0ms (24.8% of total)
ival-sub: 53.0ms (23.9% of total)
ival-neg: 42.0ms (19% of total)
ival-true: 7.0ms (3.2% of total)
adjust: 3.0ms (1.4% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain126.0ms (2.6%)

Memory
5.5MiB live, 110.9MiB allocated; 13ms collecting garbage
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
00-0-(-.f64 f n)
00-0-f
00-0-n
00-0-(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
94.0ms512×0valid
Compiler

Compiled 52 to 22 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-add: 67.0ms (82.9% of total)
ival-sub: 7.0ms (8.7% of total)
ival-div: 3.0ms (3.7% of total)
ival-neg: 2.0ms (2.5% of total)
ival-true: 0.0ms (0% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess15.0ms (0.3%)

Memory
19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01850
14044
28944
314544
419044
519744
620444
068
0108
1168
2268
3358
4358
0358
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

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

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated; 0ms collecting garbage
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory
3.6MiB live, 3.5MiB allocated; 0ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0620
01020
11620
22620
33520
43520
03520
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
(-.f64 f n)
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
(-.f64 f n)

localize46.0ms (0.9%)

Memory
-25.2MiB live, 20.9MiB allocated; 3ms collecting garbage
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 f n)
accuracy0.0
(+.f64 f n)
accuracy0.0
(neg.f64 (+.f64 f n))
accuracy0.0390625
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
41.0ms256×0valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

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

series4.0ms (0.1%)

Memory
6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Counts
4 → 40
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
n
(+ f n)
(- f n)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (* -1 (/ n f))))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (/ n f) 1)))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* -1 n) f)
(+ f (* -1 n))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (+ 1 (/ f n)))
(* n (- (/ f n) 1))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Calls

6 calls:

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

simplify343.0ms (7%)

Memory
10.0MiB live, 144.4MiB allocated; 34ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145438
1462400
21714352
08180309
Stop Event
1×iter limit
1×node limit
Counts
40 → 38
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
n
(+ f n)
(- f n)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (* -1 (/ n f))))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (/ n f) 1)))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* -1 n) f)
(+ f (* -1 n))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (+ 1 (/ f n)))
(* n (- (/ f n) 1))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
n
(+ f n)
(+.f64 n f)
(- f n)
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(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 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) (*.f64 f f)) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(neg.f64 (fma.f64 (/.f64 n f) f f))
f
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(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 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) (*.f64 f f)) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(neg.f64 (fma.f64 (/.f64 n f) f f))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 (/.f64 n f) f f)
(* -1 (* f (- (/ n f) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -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 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) f) n #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) (*.f64 f f)) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(+ f (* -1 n))
(-.f64 f n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 f n) n n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)

rewrite155.0ms (3.2%)

Memory
7.8MiB live, 134.2MiB allocated; 19ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0618
01018
13618
222418
0284618
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
4 → 298
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)
Outputs
(*.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f))) #s(literal 1 binary64)) (+.f64 n f))
(*.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f))) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (-.f64 f n) (+.f64 n f))) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 n f)) (-.f64 f n)))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (neg.f64 (-.f64 f n))))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f))) (+.f64 n f))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))))
(*.f64 (+.f64 n f) (/.f64 (neg.f64 (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f))))
(/.f64 (/.f64 (neg.f64 (+.f64 n f)) (*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) (fma.f64 f (-.f64 f n) (*.f64 n n)))
(/.f64 (/.f64 (neg.f64 (+.f64 n f)) #s(literal 1 binary64)) (-.f64 f n))
(/.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f))) (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f))
(/.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f))) (*.f64 (neg.f64 (+.f64 n f)) (-.f64 f n))) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f))) (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (neg.f64 (fma.f64 f (-.f64 f n) (*.f64 n n))))
(/.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f))) (*.f64 (-.f64 f n) (+.f64 n f))) (-.f64 f n))
(/.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 f (-.f64 f n) (*.f64 n n)))
(/.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (-.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 n f) n) #s(literal 2 binary64)))) (-.f64 (*.f64 f (-.f64 f n)) (*.f64 n n)))
(/.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (+.f64 n f) n) #s(literal 3 binary64)) (pow.f64 f #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 n f) n) (-.f64 (*.f64 (+.f64 n f) n) (*.f64 f f)) (pow.f64 f #s(literal 4 binary64))))
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(-.f64 f n)
(+.f64 (*.f64 (*.f64 (-.f64 n f) n) (*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) (*.f64 (*.f64 f f) (*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))))
(+.f64 (*.f64 (*.f64 f f) (*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))) (*.f64 (*.f64 (-.f64 n f) n) (*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))))
(+.f64 (*.f64 (*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (-.f64 n f) n)) (*.f64 (*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 f f)))
(+.f64 (*.f64 (*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 f f)) (*.f64 (*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (-.f64 n f) n)))
(+.f64 (*.f64 f (/.f64 f (+.f64 n f))) (/.f64 (*.f64 (neg.f64 n) n) (+.f64 n f)))

eval122.0ms (2.5%)

Memory
-7.2MiB live, 56.1MiB allocated; 10ms collecting garbage
Compiler

Compiled 9 065 to 1 055 computations (88.4% saved)

prune9.0ms (0.2%)

Memory
23.3MiB live, 23.3MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New30810318
Fresh000
Picked011
Done000
Total30811319
Accuracy
100.0%
Counts
319 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
49.2%
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f)))
✓99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
87.4%
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))
48.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶52.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶99.9%
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n))) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n))))
▶47.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
48.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
▶52.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
47.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶51.2%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 306 to 200 computations (34.6% saved)

simplify383.0ms (7.9%)

Memory
-14.7MiB live, 218.3MiB allocated; 82ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
031198
051198
187198
2174197
3494189
42004189
08450188
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n))) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n))))
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n)))
(*.f64 f (/.f64 f (-.f64 f n)))
f
(/.f64 f (-.f64 f n))
(-.f64 f n)
n
(neg.f64 (-.f64 f n))
(/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n)))
(*.f64 n (/.f64 n (-.f64 f n)))
(/.f64 n (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) 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)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
Outputs
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n))) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n))))
(/.f64 (fma.f64 n n (*.f64 (neg.f64 f) f)) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (/.f64 f (-.f64 f n)) f) (neg.f64 (-.f64 f n)))
(*.f64 f (/.f64 f (-.f64 f n)))
(*.f64 (/.f64 f (-.f64 f n)) f)
f
(/.f64 f (-.f64 f n))
(-.f64 f n)
n
(neg.f64 (-.f64 f n))
(/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n)))
(*.f64 (/.f64 (/.f64 n (-.f64 f n)) (-.f64 f n)) (neg.f64 n))
(*.f64 n (/.f64 n (-.f64 f n)))
(*.f64 (/.f64 n (-.f64 f n)) n)
(/.f64 n (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) 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)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)

localize150.0ms (3.1%)

Memory
-12.1MiB live, 130.6MiB allocated; 33ms collecting garbage
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.078125
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
accuracy0.13671875
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
accuracy2.142787178764186
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
accuracy33.374204424224395
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
accuracy0.0
(/.f64 #s(literal -2 binary64) f)
accuracy0.109375
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
accuracy30.184272605660002
#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)
accuracy0.0390625
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy30.561445961757652
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy31.216702140547905
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0.05859375
(*.f64 n (/.f64 n (-.f64 f n)))
accuracy0.05859375
(*.f64 f (/.f64 f (-.f64 f n)))
accuracy1.5076248507512955
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n)))
accuracy1.9664073355463616
(/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n)))
Samples
127.0ms256×0valid
Compiler

Compiled 178 to 30 computations (83.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 111.0ms
ival-div: 92.0ms (82.6% of total)
ival-mult: 8.0ms (7.2% of total)
ival-add: 5.0ms (4.5% of total)
ival-sub: 3.0ms (2.7% of total)
ival-neg: 3.0ms (2.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.6%)

Memory
3.6MiB live, 48.0MiB allocated; 7ms collecting garbage
Counts
18 → 150
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n))) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n))))
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n)))
(*.f64 f (/.f64 f (-.f64 f n)))
(/.f64 f (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) 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(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n)))
(*.f64 n (/.f64 n (-.f64 f n)))
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 (/ (pow f 2) (pow n 2)))
(* (pow f 2) (- (* -2 (/ f (pow n 3))) (/ 1 (pow n 2))))
(* (pow f 2) (- (* f (- (* -3 (/ f (pow n 4))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2))))
(* (pow f 2) (- (* f (- (* f (- (* -4 (/ f (pow n 5))) (* 3 (/ 1 (pow n 4))))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2))))
(* -1 (/ (pow f 2) n))
(* (pow f 2) (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* (pow f 2) (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* (pow f 2) (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
(/ 2 n)
(+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))
2
(+ 2 (* 2 (/ f n)))
-1
(- (* -2 (/ f n)) 1)
(- (* f (- (* -3 (/ f (pow n 2))) (* 2 (/ 1 n)))) 1)
(- (* f (- (* f (- (* -4 (/ f (pow n 3))) (* 3 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))) 1)
(+ (* -1 f) (* -1 n))
(+ (* -1 n) (* f (- (* -1 (/ f n)) 1)))
(+ (* -1 n) (* f (- (* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) 1)))
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -2 (pow n 2)) (* 4 (pow n 2))) (pow f 2))) (+ 1 (* 2 (/ n f))))
(- (* 2 (/ (pow n 3) (pow f 3))) (+ 1 (+ (* -2 (/ (pow n 2) (pow f 2))) (+ (* -2 (/ (pow n 3) (pow f 3))) (+ (* 2 (/ n f)) (+ (* 2 (/ (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) (pow f 3))) (* 4 (/ (pow n 2) (pow f 2)))))))))
(- (* -1 (/ (+ (* -1 (pow n 2)) (* 4 (pow n 2))) (pow f 2))) (+ 1 (* 2 (/ n f))))
(- (* -1 (/ (+ (* -2 (pow n 3)) (* 2 (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))))) (pow f 3))) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
f
(* f (+ 1 (/ n f)))
(* f (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))))
(* f (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2))))))
(+ 1 (/ 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 (+ 1 (* -1 (/ n f))))
(* 2 (/ (pow f 2) (pow n 2)))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(* 2 (/ f (pow n 2)))
(* f (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))
(* -1 (/ (pow n 2) (pow f 2)))
(/ (+ (* -2 (/ (pow n 3) f)) (* -1 (pow n 2))) (pow f 2))
(/ (- (+ (* -1 (/ (+ (* -1 (pow n 4)) (* 4 (pow n 4))) (pow f 2))) (* -1 (pow n 2))) (* 2 (/ (pow n 3) f))) (pow f 2))
(/ (- (+ (* -1 (/ (+ (* -2 (pow n 5)) (* 2 (* n (+ (* -1 (pow n 4)) (* 4 (pow n 4)))))) (pow f 3))) (* -1 (pow n 2))) (+ (* -1 (/ (pow n 4) (pow f 2))) (+ (* 2 (/ (pow n 3) f)) (* 4 (/ (pow n 4) (pow f 2)))))) (pow f 2))
(/ (pow n 2) f)
(/ (+ (/ (pow n 3) f) (pow n 2)) f)
(/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (* -1 (/ (pow n 3) f))) f)
(/ (- (+ (/ (pow n 5) (pow f 3)) (pow n 2)) (+ (* -1 (/ (pow n 3) f)) (* -1 (/ (pow n 4) (pow f 2))))) f)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -4 (pow n 2)) (pow n 2)) (* -1 (pow n 2))) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -4 (pow n 2)) (+ (* -1 (/ (- (+ (* -2 (* n (+ (* -4 (pow n 2)) (pow n 2)))) (* -2 (pow n 3))) (* 2 (pow n 3))) f)) (pow n 2))) (* -1 (pow n 2))) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (* 4 (/ (pow n 2) f))) (* -2 n)) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* 2 (/ (pow n 3) f))) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* -2 n)) f)) 1)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)))
(* -1 (* f (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) 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 (- (/ n f) 1)))
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f))))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow n 4)) (pow n 4)) f)) (* 2 (pow n 3))) f)) (* -1 (pow n 2))) (pow f 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow n 4)) (+ (* -1 (/ (+ (* -2 (* n (+ (* -4 (pow n 4)) (pow n 4)))) (* -2 (pow n 5))) f)) (pow n 4))) f)) (* 2 (pow n 3))) f)) (* -1 (pow n 2))) (pow f 2))
(* -1 (/ (+ (* -1 (/ (pow n 3) f)) (* -1 (pow n 2))) f))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow n 5) f)) (* -1 (pow n 4))) f)) (pow n 3)) f)) (* -1 (pow n 2))) f))
(- (* 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 (- (* -3 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -4 (/ n (pow f 3))) (* 3 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(+ f n)
(+ f (* n (+ 1 (/ n f))))
(+ f (* n (+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))))
(+ 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))
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/ (+ (* 2 f) (* 2 n)) (pow n 2))
(/ (+ (* 2 f) (* 2 n)) n)
(* (pow n 2) (- (* -2 (/ n (pow f 3))) (/ 1 (pow f 2))))
(* (pow n 2) (- (* n (- (* -3 (/ n (pow f 4))) (* 2 (/ 1 (pow f 3))))) (/ 1 (pow f 2))))
(* (pow n 2) (- (* n (- (* n (- (* -4 (/ n (pow f 5))) (* 3 (/ 1 (pow f 4))))) (* 2 (/ 1 (pow f 3))))) (/ 1 (pow f 2))))
(* (pow n 2) (+ (/ 1 f) (/ n (pow f 2))))
(* (pow n 2) (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f)))
(* (pow n 2) (+ (* n (+ (* n (+ (/ 1 (pow f 3)) (/ n (pow f 4)))) (/ 1 (pow f 2)))) (/ 1 f)))
(+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (* 4 (/ (pow f 2) (pow n 2))))))
(- (+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ (pow f 3) (pow n 3))) (+ (* 2 (/ f n)) (+ (* 2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) (pow n 3))) (* 4 (/ (pow f 2) (pow n 2)))))))) (* 2 (/ (pow f 3) (pow n 3))))
(/ (+ (* -2 (/ (pow f 3) n)) (* -1 (pow f 2))) (pow n 2))
(/ (- (+ (* -1 (/ (+ (* -1 (pow f 4)) (* 4 (pow f 4))) (pow n 2))) (* -1 (pow f 2))) (* 2 (/ (pow f 3) n))) (pow n 2))
(/ (- (+ (* -1 (/ (+ (* -2 (pow f 5)) (* 2 (* f (+ (* -1 (pow f 4)) (* 4 (pow f 4)))))) (pow n 3))) (* -1 (pow f 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (+ (* 2 (/ (pow f 3) n)) (* 4 (/ (pow f 4) (pow n 2)))))) (pow n 2))
(/ (+ (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)
(/ (- (+ (* -1 (/ (pow f 4) (pow n 2))) (* -1 (pow f 2))) (/ (pow f 3) n)) n)
(/ (- (+ (* -1 (/ (pow f 5) (pow n 3))) (* -1 (pow f 2))) (+ (/ (pow f 3) n) (/ (pow f 4) (pow n 2)))) 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 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(/ (+ 2 (* 2 (/ f n))) n)
(- (* -1 (/ (+ (* -1 (pow f 2)) (* 4 (pow f 2))) (pow n 2))) (+ 1 (* 2 (/ f n))))
(- (* -1 (/ (+ (* -2 (pow f 3)) (* 2 (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))))) (pow n 3))) (+ 1 (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (* 4 (/ (pow f 2) (pow n 2)))))))
(* n (- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (/ f n))))
(* n (- (* -1 (/ (pow f 3) (pow n 3))) (+ 1 (+ (/ f n) (/ (pow f 2) (pow n 2))))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow f 3)) (+ (* -2 (* f (+ (* -4 (pow f 2)) (pow f 2)))) (* -2 (pow f 3)))) n)) (* -1 (pow f 2))) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (pow f 4)) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (+ (* -1 (/ (+ (* -2 (* f (+ (* -4 (pow f 4)) (pow f 4)))) (* -2 (pow f 5))) n)) (pow f 4))) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2))
(* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow f 4) n)) (pow f 3)) n)) (pow f 2)) n))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow f 5) n) (* -1 (pow f 4))) n)) (pow f 3)) n)) (pow f 2)) n))
(* -1 (/ (+ f (/ (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 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(* -1 (/ (- (* -2 (/ f n)) 2) n))
(- (* -1 (/ (- (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n))) (* -2 f)) n)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* 2 (/ (pow f 3) n))) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* -2 f)) n)) 1)
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))))
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))))
Calls

6 calls:

TimeVariablePointExpression
7.0ms
n
@-inf
((- (/ (* f (/ f (- f n))) (neg (- f n))) (/ (* n (/ n (- f n))) (neg (- f n)))) (/ (* f (/ f (- f n))) (neg (- f n))) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (neg (+ f n)) (- f n)) (+ (* (/ (+ (* (/ 2 n) f) 2) n) f) 1) (/ (+ (* (/ 2 n) f) 2) n) (+ (* (/ 2 n) f) 2) (/ (* n (/ n (- f n))) (neg (- f n))) (* n (/ n (- f n))))
5.0ms
n
@inf
((- (/ (* f (/ f (- f n))) (neg (- f n))) (/ (* n (/ n (- f n))) (neg (- f n)))) (/ (* f (/ f (- f n))) (neg (- f n))) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (neg (+ f n)) (- f n)) (+ (* (/ (+ (* (/ 2 n) f) 2) n) f) 1) (/ (+ (* (/ 2 n) f) 2) n) (+ (* (/ 2 n) f) 2) (/ (* n (/ n (- f n))) (neg (- f n))) (* n (/ n (- f n))))
5.0ms
f
@inf
((- (/ (* f (/ f (- f n))) (neg (- f n))) (/ (* n (/ n (- f n))) (neg (- f n)))) (/ (* f (/ f (- f n))) (neg (- f n))) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (neg (+ f n)) (- f n)) (+ (* (/ (+ (* (/ 2 n) f) 2) n) f) 1) (/ (+ (* (/ 2 n) f) 2) n) (+ (* (/ 2 n) f) 2) (/ (* n (/ n (- f n))) (neg (- f n))) (* n (/ n (- f n))))
3.0ms
f
@-inf
((- (/ (* f (/ f (- f n))) (neg (- f n))) (/ (* n (/ n (- f n))) (neg (- f n)))) (/ (* f (/ f (- f n))) (neg (- f n))) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (neg (+ f n)) (- f n)) (+ (* (/ (+ (* (/ 2 n) f) 2) n) f) 1) (/ (+ (* (/ 2 n) f) 2) n) (+ (* (/ 2 n) f) 2) (/ (* n (/ n (- f n))) (neg (- f n))) (* n (/ n (- f n))))
3.0ms
f
@0
((- (/ (* f (/ f (- f n))) (neg (- f n))) (/ (* n (/ n (- f n))) (neg (- f n)))) (/ (* f (/ f (- f n))) (neg (- f n))) (* f (/ f (- f n))) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (/ (neg (+ f n)) (- f n)) (+ (* (/ (+ (* (/ 2 n) f) 2) n) f) 1) (/ (+ (* (/ 2 n) f) 2) n) (+ (* (/ 2 n) f) 2) (/ (* n (/ n (- f n))) (neg (- f n))) (* n (/ n (- f n))))

simplify178.0ms (3.7%)

Memory
16.3MiB live, 162.9MiB allocated; 19ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07182682
124282458
084912358
Stop Event
1×iter limit
1×node limit
Counts
150 → 149
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 (/ (pow f 2) (pow n 2)))
(* (pow f 2) (- (* -2 (/ f (pow n 3))) (/ 1 (pow n 2))))
(* (pow f 2) (- (* f (- (* -3 (/ f (pow n 4))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2))))
(* (pow f 2) (- (* f (- (* f (- (* -4 (/ f (pow n 5))) (* 3 (/ 1 (pow n 4))))) (* 2 (/ 1 (pow n 3))))) (/ 1 (pow n 2))))
(* -1 (/ (pow f 2) n))
(* (pow f 2) (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* (pow f 2) (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* (pow f 2) (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
(/ 2 n)
(+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))
2
(+ 2 (* 2 (/ f n)))
-1
(- (* -2 (/ f n)) 1)
(- (* f (- (* -3 (/ f (pow n 2))) (* 2 (/ 1 n)))) 1)
(- (* f (- (* f (- (* -4 (/ f (pow n 3))) (* 3 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))) 1)
(+ (* -1 f) (* -1 n))
(+ (* -1 n) (* f (- (* -1 (/ f n)) 1)))
(+ (* -1 n) (* f (- (* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) 1)))
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -2 (pow n 2)) (* 4 (pow n 2))) (pow f 2))) (+ 1 (* 2 (/ n f))))
(- (* 2 (/ (pow n 3) (pow f 3))) (+ 1 (+ (* -2 (/ (pow n 2) (pow f 2))) (+ (* -2 (/ (pow n 3) (pow f 3))) (+ (* 2 (/ n f)) (+ (* 2 (/ (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) (pow f 3))) (* 4 (/ (pow n 2) (pow f 2)))))))))
(- (* -1 (/ (+ (* -1 (pow n 2)) (* 4 (pow n 2))) (pow f 2))) (+ 1 (* 2 (/ n f))))
(- (* -1 (/ (+ (* -2 (pow n 3)) (* 2 (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))))) (pow f 3))) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
f
(* f (+ 1 (/ n f)))
(* f (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))))
(* f (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2))))))
(+ 1 (/ 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 (+ 1 (* -1 (/ n f))))
(* 2 (/ (pow f 2) (pow n 2)))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(* 2 (/ f (pow n 2)))
(* f (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))
(* -1 (/ (pow n 2) (pow f 2)))
(/ (+ (* -2 (/ (pow n 3) f)) (* -1 (pow n 2))) (pow f 2))
(/ (- (+ (* -1 (/ (+ (* -1 (pow n 4)) (* 4 (pow n 4))) (pow f 2))) (* -1 (pow n 2))) (* 2 (/ (pow n 3) f))) (pow f 2))
(/ (- (+ (* -1 (/ (+ (* -2 (pow n 5)) (* 2 (* n (+ (* -1 (pow n 4)) (* 4 (pow n 4)))))) (pow f 3))) (* -1 (pow n 2))) (+ (* -1 (/ (pow n 4) (pow f 2))) (+ (* 2 (/ (pow n 3) f)) (* 4 (/ (pow n 4) (pow f 2)))))) (pow f 2))
(/ (pow n 2) f)
(/ (+ (/ (pow n 3) f) (pow n 2)) f)
(/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (* -1 (/ (pow n 3) f))) f)
(/ (- (+ (/ (pow n 5) (pow f 3)) (pow n 2)) (+ (* -1 (/ (pow n 3) f)) (* -1 (/ (pow n 4) (pow f 2))))) f)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -4 (pow n 2)) (pow n 2)) (* -1 (pow n 2))) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -4 (pow n 2)) (+ (* -1 (/ (- (+ (* -2 (* n (+ (* -4 (pow n 2)) (pow n 2)))) (* -2 (pow n 3))) (* 2 (pow n 3))) f)) (pow n 2))) (* -1 (pow n 2))) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (* 4 (/ (pow n 2) f))) (* -2 n)) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* n (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* 2 (/ (pow n 3) f))) (+ (* -1 (pow n 2)) (* 4 (pow n 2)))) f)) (* -2 n)) f)) 1)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)))
(* -1 (* f (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) 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 (- (/ n f) 1)))
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f))))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow n 4)) (pow n 4)) f)) (* 2 (pow n 3))) f)) (* -1 (pow n 2))) (pow f 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow n 4)) (+ (* -1 (/ (+ (* -2 (* n (+ (* -4 (pow n 4)) (pow n 4)))) (* -2 (pow n 5))) f)) (pow n 4))) f)) (* 2 (pow n 3))) f)) (* -1 (pow n 2))) (pow f 2))
(* -1 (/ (+ (* -1 (/ (pow n 3) f)) (* -1 (pow n 2))) f))
(* -1 (/ (+ (* -1 (/ (+ (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow n 5) f)) (* -1 (pow n 4))) f)) (pow n 3)) f)) (* -1 (pow n 2))) f))
(- (* 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 (- (* -3 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -4 (/ n (pow f 3))) (* 3 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(+ f n)
(+ f (* n (+ 1 (/ n f))))
(+ f (* n (+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))))
(+ 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))
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/ (+ (* 2 f) (* 2 n)) (pow n 2))
(/ (+ (* 2 f) (* 2 n)) n)
(* (pow n 2) (- (* -2 (/ n (pow f 3))) (/ 1 (pow f 2))))
(* (pow n 2) (- (* n (- (* -3 (/ n (pow f 4))) (* 2 (/ 1 (pow f 3))))) (/ 1 (pow f 2))))
(* (pow n 2) (- (* n (- (* n (- (* -4 (/ n (pow f 5))) (* 3 (/ 1 (pow f 4))))) (* 2 (/ 1 (pow f 3))))) (/ 1 (pow f 2))))
(* (pow n 2) (+ (/ 1 f) (/ n (pow f 2))))
(* (pow n 2) (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f)))
(* (pow n 2) (+ (* n (+ (* n (+ (/ 1 (pow f 3)) (/ n (pow f 4)))) (/ 1 (pow f 2)))) (/ 1 f)))
(+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (* 4 (/ (pow f 2) (pow n 2))))))
(- (+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ (pow f 3) (pow n 3))) (+ (* 2 (/ f n)) (+ (* 2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) (pow n 3))) (* 4 (/ (pow f 2) (pow n 2)))))))) (* 2 (/ (pow f 3) (pow n 3))))
(/ (+ (* -2 (/ (pow f 3) n)) (* -1 (pow f 2))) (pow n 2))
(/ (- (+ (* -1 (/ (+ (* -1 (pow f 4)) (* 4 (pow f 4))) (pow n 2))) (* -1 (pow f 2))) (* 2 (/ (pow f 3) n))) (pow n 2))
(/ (- (+ (* -1 (/ (+ (* -2 (pow f 5)) (* 2 (* f (+ (* -1 (pow f 4)) (* 4 (pow f 4)))))) (pow n 3))) (* -1 (pow f 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (+ (* 2 (/ (pow f 3) n)) (* 4 (/ (pow f 4) (pow n 2)))))) (pow n 2))
(/ (+ (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)
(/ (- (+ (* -1 (/ (pow f 4) (pow n 2))) (* -1 (pow f 2))) (/ (pow f 3) n)) n)
(/ (- (+ (* -1 (/ (pow f 5) (pow n 3))) (* -1 (pow f 2))) (+ (/ (pow f 3) n) (/ (pow f 4) (pow n 2)))) 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 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(/ (+ 2 (* 2 (/ f n))) n)
(- (* -1 (/ (+ (* -1 (pow f 2)) (* 4 (pow f 2))) (pow n 2))) (+ 1 (* 2 (/ f n))))
(- (* -1 (/ (+ (* -2 (pow f 3)) (* 2 (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))))) (pow n 3))) (+ 1 (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (* 4 (/ (pow f 2) (pow n 2)))))))
(* n (- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (/ f n))))
(* n (- (* -1 (/ (pow f 3) (pow n 3))) (+ 1 (+ (/ f n) (/ (pow f 2) (pow n 2))))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow f 3)) (+ (* -2 (* f (+ (* -4 (pow f 2)) (pow f 2)))) (* -2 (pow f 3)))) n)) (* -1 (pow f 2))) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (pow f 4)) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (+ (* -1 (/ (+ (* -2 (* f (+ (* -4 (pow f 4)) (pow f 4)))) (* -2 (pow f 5))) n)) (pow f 4))) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2))
(* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow f 4) n)) (pow f 3)) n)) (pow f 2)) n))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow f 5) n) (* -1 (pow f 4))) n)) (pow f 3)) n)) (pow f 2)) n))
(* -1 (/ (+ f (/ (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 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(* -1 (/ (- (* -2 (/ f n)) 2) n))
(- (* -1 (/ (- (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n))) (* -2 f)) n)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* 2 (/ (pow f 3) n))) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* -2 f)) n)) 1)
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))))
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (/.f64 f (*.f64 n n)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 n n))) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (/ (pow f 2) (pow n 2)))
(/.f64 (*.f64 (neg.f64 f) f) (*.f64 n n))
(* (pow f 2) (- (* -2 (/ f (pow n 3))) (/ 1 (pow n 2))))
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(* (pow n 2) (- (* -2 (/ n (pow f 3))) (/ 1 (pow f 2))))
(*.f64 (-.f64 (*.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 f f))) (*.f64 n n))
(* (pow n 2) (- (* n (- (* -3 (/ n (pow f 4))) (* 2 (/ 1 (pow f 3))))) (/ 1 (pow f 2))))
(*.f64 (-.f64 (*.f64 (-.f64 (*.f64 (/.f64 n (pow.f64 f #s(literal 4 binary64))) #s(literal -3 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 f #s(literal 3 binary64)))) n) (/.f64 #s(literal 1 binary64) (*.f64 f f))) (*.f64 n n))
(* (pow n 2) (- (* n (- (* n (- (* -4 (/ n (pow f 5))) (* 3 (/ 1 (pow f 4))))) (* 2 (/ 1 (pow f 3))))) (/ 1 (pow f 2))))
(*.f64 (-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 n (pow.f64 f #s(literal 5 binary64))) #s(literal -4 binary64)) (/.f64 #s(literal 3 binary64) (pow.f64 f #s(literal 4 binary64)))) n (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 f #s(literal 3 binary64))))) n) (/.f64 #s(literal 1 binary64) (*.f64 f f))) (*.f64 n n))
(* (pow n 2) (+ (/ 1 f) (/ n (pow f 2))))
(*.f64 (+.f64 (/.f64 n (*.f64 f f)) (/.f64 #s(literal 1 binary64) f)) (*.f64 n n))
(* (pow n 2) (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f)))
(*.f64 (fma.f64 (+.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 f f))) n (/.f64 #s(literal 1 binary64) f)) (*.f64 n n))
(* (pow n 2) (+ (* n (+ (* n (+ (/ 1 (pow f 3)) (/ n (pow f 4)))) (/ 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)) (*.f64 n n))
(+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (* 4 (/ (pow f 2) (pow n 2))))))
(fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 f n) (/.f64 f n) (/.f64 f n)) #s(literal 1 binary64))
(- (+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ (pow f 3) (pow n 3))) (+ (* 2 (/ f n)) (+ (* 2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) (pow n 3))) (* 4 (/ (pow f 2) (pow n 2)))))))) (* 2 (/ (pow f 3) (pow n 3))))
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 f n) (/.f64 f n) (pow.f64 (/.f64 f n) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 f n) (/.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) n) (/.f64 (*.f64 f f) n))))))
(/ (+ (* -2 (/ (pow f 3) n)) (* -1 (pow f 2))) (pow n 2))
(/.f64 (fma.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal -2 binary64) (*.f64 (neg.f64 f) f)) (*.f64 n n))
(/ (- (+ (* -1 (/ (+ (* -1 (pow f 4)) (* 4 (pow f 4))) (pow n 2))) (* -1 (pow f 2))) (* 2 (/ (pow f 3) n))) (pow n 2))
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 f #s(literal 4 binary64)) #s(literal 3 binary64)) (*.f64 (neg.f64 n) n)) (fma.f64 f f (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal 2 binary64)))) (*.f64 n n))
(/ (- (+ (* -1 (/ (+ (* -2 (pow f 5)) (* 2 (* f (+ (* -1 (pow f 4)) (* 4 (pow f 4)))))) (pow n 3))) (* -1 (pow f 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (+ (* 2 (/ (pow f 3) n)) (* 4 (/ (pow f 4) (pow n 2)))))) (pow n 2))
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 f #s(literal 5 binary64)) (*.f64 (*.f64 (pow.f64 f #s(literal 4 binary64)) #s(literal 3 binary64)) f))) (neg.f64 (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f f (fma.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) (/.f64 #s(literal 3 binary64) n) (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal 2 binary64))))) (*.f64 n n))
(/ (+ (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)
(/.f64 (neg.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n))) n)
(/ (- (+ (* -1 (/ (pow f 4) (pow n 2))) (* -1 (pow f 2))) (/ (pow f 3) n)) n)
(/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 f #s(literal 4 binary64))) (*.f64 n n)) (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n))) n)
(/ (- (+ (* -1 (/ (pow f 5) (pow n 3))) (* -1 (pow f 2))) (+ (/ (pow f 3) n) (/ (pow f 4) (pow n 2)))) n)
(/.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 f #s(literal 5 binary64))) (pow.f64 n #s(literal 3 binary64))) (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n))) (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 n n))) n)
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 f f) n) f)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/.f64 (-.f64 (-.f64 (neg.f64 f) (/.f64 (pow.f64 f #s(literal 3 binary64)) (*.f64 n n))) (/.f64 (*.f64 f f) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/.f64 (-.f64 (-.f64 (-.f64 (neg.f64 f) (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (*.f64 f f) n)) (/.f64 (pow.f64 f #s(literal 3 binary64)) (*.f64 n n))) n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 f) f) n))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (neg.f64 f) (/.f64 (-.f64 (neg.f64 f) f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 (neg.f64 f) f) n) (/.f64 f n) (fma.f64 (*.f64 f f) (/.f64 (-.f64 (neg.f64 f) f) (pow.f64 n #s(literal 3 binary64))) (/.f64 (-.f64 (neg.f64 f) f) n))) #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal 1 binary64)))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 f n) (/.f64 f n) (/.f64 f n)) #s(literal 1 binary64))
(/ (+ 2 (* 2 (/ f n))) n)
(/.f64 (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 2 binary64)) n)
(- (* -1 (/ (+ (* -1 (pow f 2)) (* 4 (pow f 2))) (pow n 2))) (+ 1 (* 2 (/ f n))))
(-.f64 (/.f64 (*.f64 (*.f64 (neg.f64 f) f) #s(literal 3 binary64)) (*.f64 n n)) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64)))
(- (* -1 (/ (+ (* -2 (pow f 3)) (* 2 (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))))) (pow n 3))) (+ 1 (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (* 4 (/ (pow f 2) (pow n 2)))))))
(-.f64 (/.f64 (*.f64 #s(literal -2 binary64) (-.f64 (pow.f64 f #s(literal 3 binary64)) (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 3 binary64)))) (neg.f64 (pow.f64 n #s(literal 3 binary64)))) (+.f64 (fma.f64 (/.f64 (*.f64 f f) n) (/.f64 #s(literal 3 binary64) n) (*.f64 (/.f64 f n) #s(literal 2 binary64))) #s(literal 1 binary64)))
(* n (- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (/ f n))))
(*.f64 (-.f64 (/.f64 (*.f64 (neg.f64 f) f) (*.f64 n n)) (+.f64 (/.f64 f n) #s(literal 1 binary64))) n)
(* n (- (* -1 (/ (pow f 3) (pow n 3))) (+ 1 (+ (/ f n) (/ (pow f 2) (pow n 2))))))
(*.f64 (-.f64 (pow.f64 (/.f64 (neg.f64 f) n) #s(literal 3 binary64)) (fma.f64 (/.f64 f n) (/.f64 f n) (+.f64 (/.f64 f n) #s(literal 1 binary64)))) n)
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 f f) n) f)) n))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 (pow f 3)) (+ (* -2 (* f (+ (* -4 (pow f 2)) (pow f 2)))) (* -2 (pow f 3)))) n)) (* -1 (pow f 2))) (+ (* -4 (pow f 2)) (pow f 2))) n)) (* 2 f)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 f f)) f (pow.f64 f #s(literal 3 binary64))))) (neg.f64 n)) (*.f64 (*.f64 f f) #s(literal 2 binary64))) (neg.f64 n)) (*.f64 #s(literal 2 binary64) f)) n))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (pow f 4)) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2))
(/.f64 (neg.f64 (fma.f64 f f (/.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (pow.f64 f #s(literal 4 binary64))) n)) n))) (*.f64 n n))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow f 4)) (+ (* -1 (/ (+ (* -2 (* f (+ (* -4 (pow f 4)) (pow f 4)))) (* -2 (pow f 5))) n)) (pow f 4))) n)) (* 2 (pow f 3))) n)) (* -1 (pow f 2))) (pow n 2))
(/.f64 (neg.f64 (fma.f64 f f (/.f64 (fma.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 2 binary64) (/.f64 (fma.f64 #s(literal -3 binary64) (pow.f64 f #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) (pow.f64 f #s(literal 4 binary64))) f (pow.f64 f #s(literal 5 binary64)))) n)) (neg.f64 n))) n))) (*.f64 n n))
(* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))
(/.f64 (neg.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n))) n)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow f 4) n)) (pow f 3)) n)) (pow f 2)) n))
(/.f64 (fma.f64 f f (/.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 f #s(literal 4 binary64))) n) (pow.f64 f #s(literal 3 binary64))) (neg.f64 n))) (neg.f64 n))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow f 5) n) (* -1 (pow f 4))) n)) (pow f 3)) n)) (pow f 2)) n))
(/.f64 (fma.f64 f f (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 5 binary64)) n) (pow.f64 f #s(literal 4 binary64))) (neg.f64 n)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 n))) (neg.f64 n))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 f f) n) f)) n)
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(/.f64 (-.f64 f (/.f64 (neg.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n))) n)) (neg.f64 n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (-.f64 f (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) (pow.f64 f #s(literal 3 binary64))) (neg.f64 n)) (*.f64 f f)) n)) (neg.f64 n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (-.f64 (neg.f64 f) f) n) (-.f64 (neg.f64 f) f)) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (+.f64 f (/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 f) f) (/.f64 (-.f64 (neg.f64 f) f) n)) (*.f64 (-.f64 (neg.f64 f) f) f)) n))) f) n))
(* -1 (* n (+ 1 (/ f n))))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (neg.f64 n))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 (*.f64 f f) n) f)) n))
(* -1 (/ (- (* -2 (/ f n)) 2) n))
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal -2 binary64)) (neg.f64 n))
(- (* -1 (/ (- (+ (* -1 (/ (pow f 2) n)) (* 4 (/ (pow f 2) n))) (* -2 f)) n)) 1)
(-.f64 (/.f64 (fma.f64 (/.f64 (*.f64 f f) n) #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) f)) (neg.f64 n)) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (/ (* f (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* 2 (/ (pow f 3) n))) (+ (* -1 (pow f 2)) (* 4 (pow f 2)))) n)) (* -2 f)) n)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 2 binary64))) n) (*.f64 (*.f64 f f) #s(literal 3 binary64))) (neg.f64 n)) (*.f64 #s(literal -2 binary64) f)) (neg.f64 n)) #s(literal 1 binary64))
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 f f) n) f)) n)) (neg.f64 n))
(* -1 (* n (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) n))) n) f) n)) (neg.f64 n))

rewrite56.0ms (1.2%)

Memory
25.5MiB live, 25.5MiB allocated; 0ms collecting garbage
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031170
051165
1176151
01311151
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
18 → 172
Calls
Call 1
Inputs
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n))) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n))))
(/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n)))
(*.f64 f (/.f64 f (-.f64 f n)))
(/.f64 f (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) 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(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n)))
(*.f64 n (/.f64 n (-.f64 f n)))
Outputs
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(/.f64 (/.f64 (fma.f64 (neg.f64 (-.f64 f n)) (*.f64 (/.f64 f (-.f64 f n)) f) (*.f64 (-.f64 f n) (*.f64 (/.f64 n (-.f64 f n)) n))) (neg.f64 (-.f64 f n))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 f) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal 2 binary64))) f) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 (neg.f64 n) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal 2 binary64))) n) #s(literal 2 binary64)))) (neg.f64 (/.f64 (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n)) (neg.f64 (-.f64 f n)))))
(/.f64 (neg.f64 (-.f64 (neg.f64 (pow.f64 (/.f64 (*.f64 f f) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal 2 binary64))) #s(literal 3 binary64))) (neg.f64 (pow.f64 (/.f64 (*.f64 n n) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal 2 binary64))) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 (/.f64 (neg.f64 n) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal 2 binary64))) n) (/.f64 (fma.f64 (/.f64 f (-.f64 f n)) f (*.f64 (/.f64 n (-.f64 f n)) n)) (neg.f64 (-.f64 f n))) (pow.f64 (*.f64 (/.f64 (neg.f64 f) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal 2 binary64))) f) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 (-.f64 f n)) (*.f64 (/.f64 f (-.f64 f n)) f) (*.f64 (-.f64 f n) (*.f64 (/.f64 n (-.f64 f n)) n)))) (neg.f64 (pow.f64 (neg.f64 (-.f64 f n)) #s(literal 2 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 f) (/.f64 f (-.f64 f n))) (-.f64 f n)) (*.f64 (-.f64 f n) (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))))) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (neg.f64 f) (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n))) (*.f64 (-.f64 f n) (*.f64 (/.f64 n (-.f64 f n)) n))) (*.f64 (-.f64 f n) (neg.f64 (-.f64 f n))))
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 f (-.f64 f n)) f) (-.f64 f n)) (*.f64 (neg.f64 (-.f64 f n)) (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))))) (*.f64 (neg.f64 (-.f64 f n)) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (neg.f64 f) (/.f64 f (-.f64 f n))) (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n)))) (-.f64 f n))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)))) (neg.f64 (neg.f64 n)))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) n (*.f64 n #s(literal 2 binary64))) (*.f64 n n))
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (neg.f64 n) (*.f64 #s(literal -2 binary64) n)) (*.f64 n (neg.f64 n)))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) n))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64))) n))
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))) (neg.f64 n))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(neg.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))) n))
(neg.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (neg.f64 n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 f n) (/.f64 #s(literal 2 binary64) n))
(fma.f64 f (/.f64 (/.f64 #s(literal 2 binary64) n) n) (/.f64 #s(literal 2 binary64) n))
(+.f64 (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) n) (/.f64 #s(literal 2 binary64) n))
(+.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) n))
(/.f64 (-.f64 #s(literal 4 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64))) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) #s(literal 4 binary64))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 3 binary64))) (+.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal 8 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64))))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)))
(fma.f64 #s(literal 1 binary64) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))
(fma.f64 #s(literal -1 binary64) #s(literal -2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) (-.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (/.f64 #s(literal 2 binary64) n)) f))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 f) (/.f64 #s(literal 2 binary64) n)))
(+.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 3 binary64)) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)))) (/.f64 #s(literal 8 binary64) (fma.f64 #s(literal 2 binary64) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)))))
(+.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)))
(+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))
(*.f64 (/.f64 (neg.f64 n) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal 2 binary64))) n)
(*.f64 (/.f64 n (-.f64 f n)) (/.f64 n (neg.f64 (-.f64 f n))))
(*.f64 n (/.f64 (neg.f64 n) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n)))) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (neg.f64 (-.f64 f n))))
(/.f64 (*.f64 (neg.f64 n) (/.f64 n (-.f64 f n))) (-.f64 f n))
(/.f64 (*.f64 (/.f64 n (-.f64 f n)) n) (neg.f64 (-.f64 f n)))
(neg.f64 (/.f64 (*.f64 n n) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 n n) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f))
(*.f64 (/.f64 (*.f64 n n) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(*.f64 (/.f64 n (-.f64 f n)) n)
(*.f64 n (/.f64 n (-.f64 f n)))
(/.f64 (*.f64 (neg.f64 n) n) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (*.f64 n n)) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 n (neg.f64 n)) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 n n) (-.f64 f n))

eval332.0ms (6.8%)

Memory
-0.6MiB live, 87.8MiB allocated; 12ms collecting garbage
Compiler

Compiled 12 394 to 1 658 computations (86.6% saved)

prune13.0ms (0.3%)

Memory
-10.1MiB live, 31.5MiB allocated; 8ms collecting garbage
Pruning

11 alts after pruning (5 fresh and 6 done)

PrunedKeptTotal
New3751376
Fresh145
Picked055
Done011
Total37611387
Accuracy
100.0%
Counts
387 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶49.2%
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f)))
✓99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
▶87.4%
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))
▶48.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓52.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓99.9%
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n))) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n))))
✓47.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
▶48.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
✓52.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
▶47.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
✓51.2%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 241 to 159 computations (34% saved)

simplify150.0ms (3.1%)

Memory
28.5MiB live, 165.5MiB allocated; 33ms collecting garbage
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 n f)
cost-diff0
(neg.f64 (+.f64 n f))
cost-diff0
(*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f))
cost-diff8
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f)))
cost-diff0
#s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64))
cost-diff0
(/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n)
cost-diff0
(fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #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
#s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))
cost-diff0
(+.f64 f n)
cost-diff0
(neg.f64 (+.f64 f n))
cost-diff0
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032192
051192
199186
2257184
3896184
46344184
08042180
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
#s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(-.f64 #s(literal 1 binary64) (/.f64 n f))
#s(literal 1 binary64)
(/.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 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(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n)
#s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64))
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f)))
(*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f))
(neg.f64 (+.f64 n f))
(+.f64 n f)
n
f
(*.f64 (-.f64 f n) (+.f64 n f))
(-.f64 f n)
Outputs
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))
(/.f64 (neg.f64 (+.f64 n f)) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
#s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(-.f64 #s(literal 1 binary64) (/.f64 n f))
#s(literal 1 binary64)
(/.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 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(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n)
#s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64))
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f)))
(/.f64 (neg.f64 (+.f64 n f)) (-.f64 f n))
(*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f))
(neg.f64 (+.f64 n f))
(+.f64 n f)
n
f
(*.f64 (-.f64 f n) (+.f64 n f))
(*.f64 (+.f64 n f) (-.f64 f n))
(-.f64 f n)

localize203.0ms (4.2%)

Memory
-31.9MiB live, 135.7MiB allocated; 40ms collecting garbage
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 (-.f64 f n) (+.f64 n f))
accuracy0.0
(neg.f64 (+.f64 n f))
accuracy0.029628759768442016
(*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f))
accuracy31.90080362173499
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f)))
accuracy0.078125
(/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n)
accuracy2.142787178764186
(fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64))
accuracy32.99084989873247
#s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64))
accuracy33.374204424224395
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
accuracy0.0
(-.f64 f n)
accuracy0.0
(neg.f64 n)
accuracy0.0390625
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy32.88122777872751
#s(approx (neg (+ f n)) (neg.f64 n))
accuracy33.6296410396811
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
accuracy0.0
#s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))
accuracy0.00390625
(-.f64 #s(literal 1 binary64) (/.f64 n f))
accuracy0.0390625
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))
accuracy7.758409502498047
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
Samples
188.0ms256×0valid
Compiler

Compiled 150 to 25 computations (83.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 10.0ms (34.2% of total)
ival-mult: 8.0ms (27.4% of total)
ival-add: 5.0ms (17.1% of total)
ival-sub: 3.0ms (10.3% of total)
ival-neg: 3.0ms (10.3% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Counts
20 → 89
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))
(neg.f64 (+.f64 f n))
(+.f64 f n)
#s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))
#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(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n)
#s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f)))
(*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f))
(neg.f64 (+.f64 n f))
(+.f64 n f)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(-.f64 #s(literal 1 binary64) (/.f64 n f))
(*.f64 (-.f64 f n) (+.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 n)
(- (* -1 f) n)
n
(+ f n)
(- f n)
(/ 2 n)
(+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))
2
(+ 2 (* 2 (/ f n)))
(* -1 (pow n 2))
(+ (* -2 (* f n)) (* -1 (pow n 2)))
(+ (* -1 (pow n 2)) (* f (+ (* -2 n) (* -1 f))))
(+ f (* -1 n))
(* -1 (/ n f))
(/ (- f n) f)
(+ (* -1 (pow n 2)) (* f (+ n (* -1 n))))
(+ (* -1 (pow n 2)) (* f (+ f (+ n (* -1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (* -1 (/ n f))))
(* 2 (/ (pow f 2) (pow n 2)))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(* 2 (/ f (pow n 2)))
(* f (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))
(* -1 (pow f 2))
(* (pow f 2) (- (* -2 (/ n f)) 1))
(* (pow f 2) (- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) 1))
(+ 1 (* -1 (/ n f)))
(pow f 2)
(* (pow f 2) (+ 1 (+ (* -1 (/ n f)) (/ n f))))
(* (pow f 2) (+ 1 (+ (* -1 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ 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)))
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f))))
(* (pow f 2) (- (* -1 (/ (+ (* 2 n) (/ (pow n 2) f)) f)) 1))
(* (pow f 2) (+ 1 (* -1 (/ (+ (* -1 (+ n (* -1 n))) (/ (pow n 2) f)) f))))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* -1 n) f)
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/ (+ (* 2 f) (* 2 n)) (pow n 2))
(/ (+ (* 2 f) (* 2 n)) n)
(+ (* -2 (* f n)) (* -1 (pow f 2)))
(+ (* -1 (pow f 2)) (* n (+ (* -2 f) (* -1 n))))
(+ (* n (+ f (* -1 f))) (pow f 2))
(+ (* n (+ f (+ (* -1 f) (* -1 n)))) (pow f 2))
(+ 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 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(/ (+ 2 (* 2 (/ f n))) n)
(* (pow n 2) (- (* -2 (/ f n)) 1))
(* (pow n 2) (- (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))) 1))
(* n (- (/ 1 n) (/ 1 f)))
(* (pow n 2) (- (+ (* -1 (/ f n)) (/ f n)) 1))
(* (pow n 2) (- (+ (* -1 (/ f n)) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 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)))))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(* -1 (/ (- (* -2 (/ f n)) 2) n))
(* (pow n 2) (- (* -1 (/ (+ (* 2 f) (/ (pow f 2) n)) n)) 1))
(* -1 (* n (- (/ 1 f) (/ 1 n))))
(* (pow n 2) (- (* -1 (/ (+ f (* -1 f)) n)) 1))
(* (pow n 2) (- (* -1 (/ (+ f (+ (* -1 f) (* -1 (/ (pow f 2) n)))) n)) 1))
Calls

6 calls:

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

simplify432.0ms (8.9%)

Memory
-1.9MiB live, 178.4MiB allocated; 46ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0275946
1924831
23522795
08576731
Stop Event
1×iter limit
1×node limit
Counts
89 → 87
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
n
(+ f n)
(- f n)
(/ 2 n)
(+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))
2
(+ 2 (* 2 (/ f n)))
(* -1 (pow n 2))
(+ (* -2 (* f n)) (* -1 (pow n 2)))
(+ (* -1 (pow n 2)) (* f (+ (* -2 n) (* -1 f))))
(+ f (* -1 n))
(* -1 (/ n f))
(/ (- f n) f)
(+ (* -1 (pow n 2)) (* f (+ n (* -1 n))))
(+ (* -1 (pow n 2)) (* f (+ f (+ n (* -1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (* -1 (/ n f))))
(* 2 (/ (pow f 2) (pow n 2)))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(* 2 (/ f (pow n 2)))
(* f (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))
(* -1 (pow f 2))
(* (pow f 2) (- (* -2 (/ n f)) 1))
(* (pow f 2) (- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) 1))
(+ 1 (* -1 (/ n f)))
(pow f 2)
(* (pow f 2) (+ 1 (+ (* -1 (/ n f)) (/ n f))))
(* (pow f 2) (+ 1 (+ (* -1 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ 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)))
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f))))
(* (pow f 2) (- (* -1 (/ (+ (* 2 n) (/ (pow n 2) f)) f)) 1))
(* (pow f 2) (+ 1 (* -1 (/ (+ (* -1 (+ n (* -1 n))) (/ (pow n 2) f)) f))))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* -1 n) f)
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/ (+ (* 2 f) (* 2 n)) (pow n 2))
(/ (+ (* 2 f) (* 2 n)) n)
(+ (* -2 (* f n)) (* -1 (pow f 2)))
(+ (* -1 (pow f 2)) (* n (+ (* -2 f) (* -1 n))))
(+ (* n (+ f (* -1 f))) (pow f 2))
(+ (* n (+ f (+ (* -1 f) (* -1 n)))) (pow f 2))
(+ 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 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(/ (+ 2 (* 2 (/ f n))) n)
(* (pow n 2) (- (* -2 (/ f n)) 1))
(* (pow n 2) (- (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))) 1))
(* n (- (/ 1 n) (/ 1 f)))
(* (pow n 2) (- (+ (* -1 (/ f n)) (/ f n)) 1))
(* (pow n 2) (- (+ (* -1 (/ f n)) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 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)))))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(* -1 (/ (- (* -2 (/ f n)) 2) n))
(* (pow n 2) (- (* -1 (/ (+ (* 2 f) (/ (pow f 2) n)) n)) 1))
(* -1 (* n (- (/ 1 f) (/ 1 n))))
(* (pow n 2) (- (* -1 (/ (+ f (* -1 f)) n)) 1))
(* (pow n 2) (- (* -1 (/ (+ f (+ (* -1 f) (* -1 (/ (pow f 2) n)))) n)) 1))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
n
(+ f n)
(+.f64 n f)
(- f n)
(-.f64 f n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
2
#s(literal 2 binary64)
(+ 2 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(* -1 (pow n 2))
(*.f64 (neg.f64 n) n)
(+ (* -2 (* f n)) (* -1 (pow n 2)))
(*.f64 (fma.f64 #s(literal -2 binary64) f (neg.f64 n)) n)
(+ (* -1 (pow n 2)) (* f (+ (* -2 n) (* -1 f))))
(fma.f64 (fma.f64 #s(literal -2 binary64) f (neg.f64 n)) n (*.f64 (neg.f64 f) f))
(+ f (* -1 n))
(-.f64 f n)
(* -1 (/ n f))
(/.f64 (neg.f64 n) f)
(/ (- f n) f)
(/.f64 (-.f64 f n) f)
(+ (* -1 (pow n 2)) (* f (+ n (* -1 n))))
(*.f64 (-.f64 #s(literal 0 binary64) n) n)
(+ (* -1 (pow n 2)) (* f (+ f (+ n (* -1 n)))))
(fma.f64 (neg.f64 n) n (*.f64 f f))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -2 binary64)) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) n) n (*.f64 n (*.f64 (*.f64 (/.f64 n f) #s(literal -2 binary64)) n))) f)) f) #s(literal 1 binary64))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(neg.f64 (fma.f64 (/.f64 n f) f f))
f
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (/.f64 (-.f64 f n) f) f)
(* 2 (/ (pow f 2) (pow n 2)))
(*.f64 (*.f64 f (/.f64 (/.f64 f n) n)) #s(literal 2 binary64))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(*.f64 (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 2 binary64))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(* 2 (/ f (pow n 2)))
(*.f64 (/.f64 (/.f64 f n) n) #s(literal 2 binary64))
(* f (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(* 2 (/ f n))
(*.f64 (/.f64 f n) #s(literal 2 binary64))
(* f (+ (* 2 (/ 1 f)) (* 2 (/ 1 n))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(* -1 (pow f 2))
(*.f64 (neg.f64 f) f)
(* (pow f 2) (- (* -2 (/ n f)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)) f) f)
(* (pow f 2) (- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) 1))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) n (*.f64 n (/.f64 n f))) f) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 f f))
(+ 1 (* -1 (/ n f)))
(/.f64 (-.f64 f n) f)
(pow f 2)
(*.f64 f f)
(* (pow f 2) (+ 1 (+ (* -1 (/ n f)) (/ n f))))
(*.f64 f f)
(* (pow f 2) (+ 1 (+ (* -1 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ n f)))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (/.f64 n f) #s(literal 0 binary64)) f)) f) f)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -2 binary64)) f) n #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) n) n (*.f64 n (*.f64 (*.f64 (/.f64 n f) #s(literal -2 binary64)) n))) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(neg.f64 (fma.f64 (/.f64 n f) f f))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 (/.f64 n f) f f)
(* -1 (* f (- (/ n f) 1)))
(*.f64 (/.f64 (-.f64 f n) f) f)
(* f (+ (* 2 (/ 1 n)) (* 2 (/ 1 f))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64))
(* (pow f 2) (- (* -1 (/ (+ (* 2 n) (/ (pow n 2) f)) f)) 1))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) n (*.f64 n (/.f64 n f))) f) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 f f))
(* (pow f 2) (+ 1 (* -1 (/ (+ (* -1 (+ n (* -1 n))) (/ (pow n 2) f)) f))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n (/.f64 n f) #s(literal 0 binary64)) f)) f) f)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -2 binary64)) f) n #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 n f) #s(literal -2 binary64) #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)
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(*.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 (*.f64 f (+.f64 n f)) n))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/.f64 (fma.f64 n n (*.f64 (*.f64 f (+.f64 n f)) #s(literal 2 binary64))) (*.f64 n n))
(/ (+ (* 2 f) (* 2 n)) (pow n 2))
(*.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 (+.f64 n f) n))
(/ (+ (* 2 f) (* 2 n)) n)
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 n f)) n)
(+ (* -2 (* f n)) (* -1 (pow f 2)))
(*.f64 (fma.f64 #s(literal -2 binary64) n (neg.f64 f)) f)
(+ (* -1 (pow f 2)) (* n (+ (* -2 f) (* -1 n))))
(fma.f64 (fma.f64 #s(literal -2 binary64) f (neg.f64 n)) n (*.f64 (neg.f64 f) f))
(+ (* n (+ f (* -1 f))) (pow f 2))
(*.f64 f f)
(+ (* n (+ f (+ (* -1 f) (* -1 n)))) (pow f 2))
(fma.f64 (neg.f64 n) n (*.f64 f f))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/ (+ 2 (* 2 (/ f n))) n)
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(* (pow n 2) (- (* -2 (/ f n)) 1))
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal -1 binary64)) n) n)
(* (pow n 2) (- (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))) 1))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (*.f64 f (/.f64 f n))) n) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 n n))
(* n (- (/ 1 n) (/ 1 f)))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) f)) n)
(* (pow n 2) (- (+ (* -1 (/ f n)) (/ f n)) 1))
(*.f64 (neg.f64 n) n)
(* (pow n 2) (- (+ (* -1 (/ f n)) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 f n) (/.f64 f n) #s(literal -1 binary64)) n) n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) (*.f64 n n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 f n) n n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(* -1 (/ (- (* -2 (/ f n)) 2) n))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n)
(* (pow n 2) (- (* -1 (/ (+ (* 2 f) (/ (pow f 2) n)) n)) 1))
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (*.f64 f (/.f64 f n))) n) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 n n))
(* -1 (* n (- (/ 1 f) (/ 1 n))))
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))
(* (pow n 2) (- (* -1 (/ (+ f (* -1 f)) n)) 1))
(*.f64 (neg.f64 n) n)
(* (pow n 2) (- (* -1 (/ (+ f (+ (* -1 f) (* -1 (/ (pow f 2) n)))) n)) 1))
(*.f64 (*.f64 (fma.f64 (/.f64 f n) (/.f64 f n) #s(literal -1 binary64)) n) n)

rewrite66.0ms (1.4%)

Memory
-10.2MiB live, 75.1MiB allocated; 12ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032174
051174
1178166
01361162
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
20 → 242
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))
(neg.f64 (+.f64 f n))
(+.f64 f n)
#s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))
#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(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n)
#s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f)))
(*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f))
(neg.f64 (+.f64 n f))
(+.f64 n f)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(-.f64 #s(literal 1 binary64) (/.f64 n f))
(*.f64 (-.f64 f n) (+.f64 n f))
Outputs
(/.f64 (neg.f64 (+.f64 n f)) (neg.f64 (neg.f64 #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))))
(/.f64 (neg.f64 (+.f64 n f)) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))
(/.f64 (+.f64 n f) (neg.f64 #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))))
(neg.f64 (/.f64 (+.f64 n f) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))))
(+.f64 (/.f64 (neg.f64 f) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))) (/.f64 (neg.f64 n) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))))
(+.f64 (/.f64 (neg.f64 n) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))) (/.f64 (neg.f64 f) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))))
(/.f64 (+.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64)) (pow.f64 (neg.f64 n) #s(literal 3 binary64))) (fma.f64 f f (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 n)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 n) #s(literal 3 binary64)) (pow.f64 (neg.f64 f) #s(literal 3 binary64))) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 (neg.f64 n) (neg.f64 f)))))
(/.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(/.f64 (*.f64 (neg.f64 (-.f64 f n)) (+.f64 n f)) (-.f64 f n))
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 (neg.f64 n) (neg.f64 f)))
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (neg.f64 (-.f64 n f)))
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 (neg.f64 f) (neg.f64 n)))
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (neg.f64 (-.f64 f n)))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 f n) f (*.f64 n n))))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))
(neg.f64 (+.f64 n f))
(+.f64 (neg.f64 f) (neg.f64 n))
(+.f64 (neg.f64 n) (neg.f64 f))
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(*.f64 #s(literal 1 binary64) (+.f64 n f))
(/.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 n f))) (neg.f64 (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 f n) f (*.f64 n n))))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (*.f64 (neg.f64 (-.f64 f n)) (+.f64 n f)) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 n f))
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(neg.f64 (neg.f64 (+.f64 n f)))
(-.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (/.f64 (*.f64 f f) (-.f64 n f)))
(-.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (/.f64 (*.f64 n n) (-.f64 f n)))
(+.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (-.f64 n f) (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(+.f64 (neg.f64 (neg.f64 f)) (neg.f64 (neg.f64 n)))
(+.f64 (neg.f64 (neg.f64 n)) (neg.f64 (neg.f64 f)))
(+.f64 n f)
(+.f64 f n)
#s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f))
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(/.f64 (neg.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n)))) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))) (neg.f64 (-.f64 f n)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(neg.f64 (/.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))) (-.f64 f n)))
(neg.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (neg.f64 (-.f64 f n))))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f))
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(*.f64 #s(literal 1 binary64) (-.f64 f n))
(/.f64 (*.f64 (neg.f64 (-.f64 f n)) (+.f64 n f)) (neg.f64 (+.f64 n f)))
(/.f64 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f))))
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (+.f64 n f))
(/.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(-.f64 (/.f64 (*.f64 f f) (+.f64 n f)) (/.f64 (*.f64 n n) (+.f64 n f)))
(-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f)))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 2 binary64)) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f))))
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f))))
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal -1 binary64)))
(fma.f64 (/.f64 (+.f64 n f) (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f))
(fma.f64 (/.f64 (+.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (-.f64 f n) f (*.f64 n n)) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f))
(fma.f64 (/.f64 (+.f64 n f) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (*.f64 f f)) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 f n) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f))
(fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f))
(fma.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) (*.f64 f #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64))
(fma.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f))
(fma.f64 f (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 f (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal -1 binary64))))
(-.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n)) f))
(-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 f) (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n)))
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (pow.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f))))
(+.f64 (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64))) (neg.f64 n))
(/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n)
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64))) n))
(neg.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) (neg.f64 n)))
#s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64))
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)) (neg.f64 (-.f64 f n))) (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f))
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)) (neg.f64 (-.f64 f n))) (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 f n))
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)) (neg.f64 (-.f64 f n))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(*.f64 (/.f64 (/.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)) (neg.f64 (-.f64 f n))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)))
(*.f64 (neg.f64 (+.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (+.f64 n f) (/.f64 (neg.f64 (+.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n))))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 f n)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 n f)) (-.f64 f n)))
(/.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (+.f64 n f)) (-.f64 f n))
(/.f64 (*.f64 (+.f64 n f) #s(literal 1 binary64)) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) #s(literal 1 binary64)) (-.f64 f n))
(/.f64 (*.f64 (/.f64 (neg.f64 (+.f64 n f)) (-.f64 f n)) (+.f64 n f)) (+.f64 n f))
(/.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)) (neg.f64 (-.f64 f n)))) (neg.f64 (+.f64 n f)))
(/.f64 (/.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)) (neg.f64 (-.f64 f n))) (+.f64 n f))
(/.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)) (*.f64 (neg.f64 (-.f64 f n)) (+.f64 n f)))
(/.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (neg.f64 (*.f64 (neg.f64 (-.f64 f n)) (+.f64 n f))))
(/.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (*.f64 (+.f64 n f) (-.f64 f n)))
(neg.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64))) (*.f64 (neg.f64 (-.f64 f n)) (+.f64 n f))))
(neg.f64 (/.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)) (*.f64 (+.f64 n f) (-.f64 f n))))
(neg.f64 (*.f64 (+.f64 n f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(neg.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 1 binary64)))
(+.f64 (/.f64 (neg.f64 (*.f64 (+.f64 n f) n)) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 (neg.f64 (*.f64 f (+.f64 n f))) (*.f64 (+.f64 n f) (-.f64 f n))))
(*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f))
(*.f64 (+.f64 n f) (neg.f64 (+.f64 n f)))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (neg.f64 (+.f64 n f))) (-.f64 n f))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (neg.f64 (+.f64 n f))) (-.f64 f n))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (+.f64 n f))) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (+.f64 n f))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 f n))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 (+.f64 n f) n)) (neg.f64 (*.f64 (+.f64 n f) n))) (*.f64 (neg.f64 (*.f64 f (+.f64 n f))) (neg.f64 (*.f64 f (+.f64 n f))))) (-.f64 (neg.f64 (*.f64 (+.f64 n f) n)) (neg.f64 (*.f64 f (+.f64 n f)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 (*.f64 (+.f64 n f) n)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (*.f64 f (+.f64 n f))) #s(literal 3 binary64))) (fma.f64 (neg.f64 (*.f64 (+.f64 n f) n)) (neg.f64 (*.f64 (+.f64 n f) n)) (-.f64 (*.f64 (neg.f64 (*.f64 f (+.f64 n f))) (neg.f64 (*.f64 f (+.f64 n f)))) (*.f64 (neg.f64 (*.f64 (+.f64 n f) n)) (neg.f64 (*.f64 f (+.f64 n f)))))))
(neg.f64 (pow.f64 (+.f64 n f) #s(literal 2 binary64)))
(fma.f64 (neg.f64 f) (+.f64 n f) (*.f64 (neg.f64 n) (+.f64 n f)))
(fma.f64 (neg.f64 (+.f64 n f)) n (neg.f64 (*.f64 f (+.f64 n f))))
(fma.f64 (neg.f64 (+.f64 n f)) f (neg.f64 (*.f64 (+.f64 n f) n)))
(fma.f64 (+.f64 n f) (neg.f64 f) (*.f64 (+.f64 n f) (neg.f64 n)))
(fma.f64 (+.f64 n f) (neg.f64 n) (*.f64 (+.f64 n f) (neg.f64 f)))
(fma.f64 (neg.f64 n) (+.f64 n f) (*.f64 (neg.f64 f) (+.f64 n f)))
(fma.f64 n (neg.f64 (+.f64 n f)) (neg.f64 (*.f64 f (+.f64 n f))))
(fma.f64 f (neg.f64 (+.f64 n f)) (neg.f64 (*.f64 (+.f64 n f) n)))
(-.f64 (neg.f64 (*.f64 (+.f64 n f) n)) (*.f64 (+.f64 n f) f))
(-.f64 (neg.f64 (*.f64 (+.f64 n f) n)) (*.f64 (neg.f64 f) (neg.f64 (+.f64 n f))))
(+.f64 (*.f64 (neg.f64 f) (+.f64 n f)) (*.f64 (neg.f64 n) (+.f64 n f)))
(+.f64 (*.f64 (neg.f64 n) (+.f64 n f)) (*.f64 (neg.f64 f) (+.f64 n f)))
(+.f64 (*.f64 (+.f64 n f) (neg.f64 f)) (*.f64 (+.f64 n f) (neg.f64 n)))
(+.f64 (*.f64 (+.f64 n f) (neg.f64 n)) (*.f64 (+.f64 n f) (neg.f64 f)))
(+.f64 (neg.f64 (*.f64 f (+.f64 n f))) (neg.f64 (*.f64 (+.f64 n f) n)))
(+.f64 (neg.f64 (*.f64 (+.f64 n f) n)) (neg.f64 (*.f64 f (+.f64 n f))))
(/.f64 (+.f64 (pow.f64 (neg.f64 f) #s(literal 3 binary64)) (pow.f64 (neg.f64 n) #s(literal 3 binary64))) (fma.f64 f f (-.f64 (*.f64 n n) (*.f64 (neg.f64 f) (neg.f64 n)))))
(/.f64 (+.f64 (pow.f64 (neg.f64 n) #s(literal 3 binary64)) (pow.f64 (neg.f64 f) #s(literal 3 binary64))) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 (neg.f64 n) (neg.f64 f)))))
(/.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(/.f64 (*.f64 (neg.f64 (-.f64 f n)) (+.f64 n f)) (-.f64 f n))
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 (neg.f64 n) (neg.f64 f)))
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (neg.f64 (-.f64 n f)))
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 (neg.f64 f) (neg.f64 n)))
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (neg.f64 (-.f64 f n)))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 f n) f (*.f64 n n))))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))
(neg.f64 (+.f64 n f))
(+.f64 (neg.f64 f) (neg.f64 n))
(+.f64 (neg.f64 n) (neg.f64 f))
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(*.f64 #s(literal 1 binary64) (+.f64 n f))
(/.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 n f))) (neg.f64 (-.f64 n f)))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 f n) f (*.f64 n n))))
(/.f64 (neg.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (*.f64 (neg.f64 (-.f64 f n)) (+.f64 n f)) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 n f))
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(neg.f64 (neg.f64 (+.f64 n f)))
(-.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (/.f64 (*.f64 f f) (-.f64 n f)))
(-.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (/.f64 (*.f64 n n) (-.f64 f n)))
(+.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(+.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 n (-.f64 n f) (*.f64 f f))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(+.f64 (neg.f64 (neg.f64 f)) (neg.f64 (neg.f64 n)))
(+.f64 (neg.f64 (neg.f64 n)) (neg.f64 (neg.f64 f)))
(+.f64 n f)
(+.f64 f n)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(*.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n f)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 2 binary64))) f) (+.f64 (/.f64 n f) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64))) f) (fma.f64 (/.f64 n f) (+.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 f (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 2 binary64)))) (+.f64 (/.f64 n f) #s(literal 1 binary64)))
(/.f64 (*.f64 f (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64)))) (fma.f64 (/.f64 n f) (+.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 n f) (+.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 2 binary64))) (+.f64 (/.f64 n f) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64))) (fma.f64 (/.f64 n f) (+.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 n f) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 n f) #s(literal 2 binary64)) (+.f64 (/.f64 n f) #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 n f) (+.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64)) (fma.f64 (/.f64 n f) (+.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (/.f64 n f))
(*.f64 (+.f64 n f) (-.f64 f n))
(*.f64 (-.f64 f n) (+.f64 n f))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 f n)) (-.f64 n f))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) (-.f64 f n))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.f64 f n)) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.f64 f n)) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (+.f64 n f)) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (+.f64 n f)) (+.f64 n f))
(/.f64 (*.f64 (+.f64 n f) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(/.f64 (*.f64 (-.f64 f n) (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 n f))
(/.f64 (*.f64 (-.f64 f n) (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 f n))
(/.f64 (*.f64 (-.f64 f n) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(/.f64 (*.f64 (-.f64 f n) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(/.f64 (*.f64 (+.f64 n f) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f))
(/.f64 (-.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (*.f64 n n) (*.f64 n n))) (fma.f64 f f (*.f64 n n)))
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 f n) n)) (*.f64 (*.f64 (-.f64 f n) f) (*.f64 (-.f64 f n) f))) (-.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (pow.f64 (*.f64 f f) #s(literal 3 binary64)) (pow.f64 (*.f64 n n) #s(literal 3 binary64))) (fma.f64 (*.f64 f f) (*.f64 f f) (fma.f64 (*.f64 n n) (*.f64 n n) (*.f64 (*.f64 f f) (*.f64 n n)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 f n) n) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 f n) f) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 f n) n) (-.f64 (*.f64 (*.f64 (-.f64 f n) f) (*.f64 (-.f64 f n) f)) (*.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 f n) f)))))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (-.f64 n f) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)))
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 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 (fma.f64 n (+.f64 n f) (*.f64 f f)) (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 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n))) (*.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (+.f64 n f) (-.f64 n f)))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 f n))) (*.f64 (+.f64 n f) (-.f64 f n)))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (+.f64 n f) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (+.f64 n f) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (*.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))
(fma.f64 (fabs.f64 f) (fabs.f64 f) (*.f64 (neg.f64 n) n))
(fma.f64 (neg.f64 f) (neg.f64 f) (*.f64 (neg.f64 n) n))
(fma.f64 (-.f64 f n) n (*.f64 (-.f64 f n) f))
(fma.f64 (-.f64 f n) f (*.f64 (-.f64 f n) n))
(fma.f64 n (-.f64 f n) (*.f64 (-.f64 f n) f))
(fma.f64 f (-.f64 f n) (*.f64 (-.f64 f n) n))
(fma.f64 f f (*.f64 (neg.f64 n) n))
(-.f64 (*.f64 (-.f64 f n) n) (*.f64 (neg.f64 f) (-.f64 f n)))
(-.f64 (*.f64 (-.f64 f n) n) (*.f64 (neg.f64 (-.f64 f n)) f))
(-.f64 (*.f64 f f) (*.f64 n n))
(+.f64 (*.f64 (-.f64 f n) f) (*.f64 (-.f64 f n) n))
(+.f64 (*.f64 (-.f64 f n) n) (*.f64 (-.f64 f n) f))
(+.f64 (*.f64 f f) (*.f64 (neg.f64 n) n))

eval38.0ms (0.8%)

Memory
-23.6MiB live, 40.3MiB allocated; 11ms collecting garbage
Compiler

Compiled 6 825 to 875 computations (87.2% saved)

prune9.0ms (0.2%)

Memory
17.2MiB live, 17.2MiB allocated; 0ms collecting garbage
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New2690269
Fresh000
Picked055
Done066
Total26911280
Accuracy
100.0%
Counts
280 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓49.2%
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f)))
✓99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
✓87.4%
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))
✓48.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓52.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓99.9%
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n))) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n))))
✓47.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
✓48.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
✓52.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
✓47.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
✓51.2%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 345 to 166 computations (51.9% saved)

regimes80.0ms (1.7%)

Memory
-13.6MiB live, 28.5MiB allocated; 5ms collecting garbage
Counts
12 → 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)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) n) f #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 f n)) #s(approx (- f n) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)))
(/.f64 (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)) (*.f64 (-.f64 f n) (+.f64 n f)))
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (neg.f64 (-.f64 f n))) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (neg.f64 (-.f64 f n))))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Calls

3 calls:

72.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
4.0ms
n
4.0ms
f
Results
AccuracySegmentsBranch
99.9%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
99.9%1f
99.9%1n
Compiler

Compiled 10 to 10 computations (0% saved)

regimes8.0ms (0.2%)

Memory
19.0MiB live, 19.0MiB allocated; 0ms collecting garbage
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#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)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(approx (+ (* (/ 2 n) f) 2) #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
98.6%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
75.2%3f
76.3%3n
Compiler

Compiled 10 to 10 computations (0% saved)

regimes2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.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:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.2%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
2.9MiB live, 2.9MiB allocated; 0ms collecting garbage
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.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:

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)

regimes1.0ms (0%)

Memory
1.8MiB live, 1.8MiB allocated; 0ms collecting garbage
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.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
97.2%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated; 0ms collecting garbage
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
97.1%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory
4.7MiB live, 4.7MiB allocated; 0ms collecting garbage
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
f
1.0ms
n
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
51.2%1f
51.2%1n
51.2%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999996302641
0.9999999829238765
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999996302641
0.9999999829238765
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999996302641
0.9999999829238765
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999996302641
0.9999999829238765
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch230.0ms (4.7%)

Memory
-26.3MiB live, 19.5MiB allocated; 2ms collecting garbage
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
229.0ms
-0.9999999996302641
0.9999999829238765
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)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify96.0ms (2%)

Memory
0.5MiB live, 45.2MiB allocated; 5ms collecting garbage
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037192
157192
280192
3115192
4276192
52237192
Stop Event
1×node limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(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 -40480451/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(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 -40480451/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

derivations481.0ms (9.9%)

Memory
-5.5MiB live, 300.1MiB allocated; 67ms collecting garbage
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145438
1462400
21714352
08180309
Stop Event
1×done
1×iter limit
1×node limit
Compiler

Compiled 192 to 37 computations (80.7% saved)

preprocess40.0ms (0.8%)

Memory
12.2MiB live, 55.0MiB allocated; 8ms collecting garbage
Compiler

Compiled 400 to 86 computations (78.5% saved)

end0.0ms (0%)

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

Profiling

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