subtraction fraction

Time bar (total: 4.2s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze15.0ms (0.4%)

Memory
-19.5MiB live, 16.1MiB allocated
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)

sample652.0ms (15.7%)

Memory
58.0MiB live, 778.5MiB allocated
Samples
389.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 201.0ms
ival-div: 58.0ms (28.9% of total)
ival-add: 52.0ms (25.9% of total)
ival-sub: 43.0ms (21.4% of total)
ival-neg: 38.0ms (18.9% of total)
ival-true: 6.0ms (3% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

explain68.0ms (1.6%)

Memory
-17.6MiB live, 105.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
00-0-(-.f64 f n)
00-0-f
00-0-n
00-0-(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
27.0ms512×0valid
Compiler

Compiled 72 to 28 computations (61.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 3.0ms (25% of total)
ival-div: 3.0ms (25% of total)
ival-add: 3.0ms (25% of total)
ival-neg: 2.0ms (16.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess62.0ms (1.5%)

Memory
9.8MiB live, 47.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01846
16135
217135
341435
4117235
5144635
6150335
7157135
8162835
068
0108
1218
2418
3787
41637
53077
66107
77227
87547
97707
107717
07717
Stop Event
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 (+.f64 n f) (-.f64 n f))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify22.0ms (0.5%)

Memory
11.8MiB live, 11.8MiB allocated
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-diff128
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0620
01020
12120
24120
37819
416319
530719
661019
772219
875419
977019
1077119
077119
Stop Event
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 (+.f64 n f) (-.f64 n f))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
(-.f64 f n)

localize156.0ms (3.8%)

Memory
-15.8MiB live, 21.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 f n)
accuracy0
(+.f64 f n)
accuracy0
(neg.f64 (+.f64 f n))
accuracy0.041347509768442016
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
151.0ms256×0valid
Compiler

Compiled 42 to 14 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 144.0ms
ival-neg: 137.0ms (95.1% of total)
ival-add: 4.0ms (2.8% of total)
ival-div: 2.0ms (1.4% of total)
ival-sub: 1.0ms (0.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.1MiB live, 6.1MiB allocated
Counts
4 → 40
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
n
(+ f n)
(- f n)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (* -1 (/ n f))))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (/ n f) 1)))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* -1 n) f)
(+ f (* -1 n))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (+ 1 (/ f n)))
(* n (- (/ f n) 1))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Calls

6 calls:

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

simplify158.0ms (3.8%)

Memory
7.8MiB live, 125.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145384
1448349
21333314
35177304
08642278
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 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
n
(+ f n)
(+.f64 n f)
(- f n)
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 (/.f64 n f) n n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(+ f (* -1 n))
(-.f64 f n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (- (/ f n) 1))
(-.f64 f n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)

rewrite218.0ms (5.3%)

Memory
-26.4MiB live, 190.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

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

eval69.0ms (1.7%)

Memory
16.2MiB live, 134.6MiB allocated
Compiler

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

prune13.0ms (0.3%)

Memory
-0.5MiB live, 36.9MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New5779586
Fresh000
Picked101
Done000
Total5789587
Accuracy
100.0%
Counts
587 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
46.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶54.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
45.3%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)))
46.5%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
▶55.0%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
45.0%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶53.7%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 232 to 166 computations (28.4% saved)

simplify58.0ms (1.4%)

Memory
-4.1MiB live, 34.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
022104
033106
158106
2101100
3175100
4349100
5731100
61308100
71605100
81736100
91801100
101842100
111843100
01843100
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
n
f
(+.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal -1 binary64)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (-.f64 n f) (+.f64 f n))
(-.f64 n f)
n
f
(+.f64 n f)
(+.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal -1 binary64)
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 n f)
(+.f64 f n)
n
f
(-.f64 n f)

localize74.0ms (1.8%)

Memory
-17.1MiB live, 65.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 n f)
accuracy0
(+.f64 n f)
accuracy0.041347509768442016
(/.f64 (+.f64 n f) (-.f64 n f))
accuracy0
(/.f64 #s(literal -2 binary64) f)
accuracy0.05859375
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
accuracy28.800799603589592
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
accuracy0
(-.f64 f n)
accuracy0
(neg.f64 f)
accuracy0.041347509768442016
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy29.153188581888966
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy29.6338896489877
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0
(-.f64 n f)
accuracy0
(+.f64 n f)
accuracy0.015625
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
accuracy0.029628759768442016
(/.f64 (-.f64 n f) (+.f64 n f))
Samples
50.0ms256×0valid
Compiler

Compiled 196 to 42 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-div: 8.0ms (36.4% of total)
ival-add: 7.0ms (31.8% of total)
ival-sub: 3.0ms (13.6% of total)
ival-mult: 2.0ms (9.1% of total)
ival-neg: 2.0ms (9.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
16.4MiB live, 16.4MiB allocated
Counts
13 → 76
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
(+.f64 n f)
#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)
(/.f64 (+.f64 n f) (-.f64 n f))
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ 1 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ n (* -1 f))
(+ f n)
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(- (/ n f) (+ 1 (* -1 (/ n f))))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(* f (- (/ n f) 1))
f
(* f (+ 1 (/ n f)))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* f (- (* -1 (/ n f)) 1))
(* f (+ 1 (* -1 (/ n f))))
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* 2 (/ n f)) 1)
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- n f)
(- (* -1 n) f)
(+ f (* -1 n))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(- (+ 1 (* -1 (/ f n))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (/ f 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 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Calls

6 calls:

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

simplify194.0ms (4.7%)

Memory
8.5MiB live, 195.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0278994
1894869
22787770
08112687
Stop Event
1×iter limit
1×node limit
Counts
76 → 74
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 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ n (* -1 f))
(+ f n)
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(- (/ n f) (+ 1 (* -1 (/ n f))))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(* f (- (/ n f) 1))
f
(* f (+ 1 (/ n f)))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* f (- (* -1 (/ n f)) 1))
(* f (+ 1 (* -1 (/ n f))))
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* 2 (/ n f)) 1)
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- n f)
(- (* -1 n) f)
(+ f (* -1 n))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(- (+ 1 (* -1 (/ f n))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (/ f 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 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
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(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64))
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n
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(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- (/ n f) (+ 1 (* -1 (/ n f))))
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(+.f64 (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 f #s(literal 3 binary64))))
(* f (- (/ n f) 1))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
f
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* f (+ 1 (* -1 (/ n f))))
(*.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))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 n (*.f64 n (fma.f64 (/.f64 #s(literal 2 binary64) f) n #s(literal -2 binary64)))) (neg.f64 f))) f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 (/.f64 n f) f f)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (* f (- (/ n f) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- (* 2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal 2 binary64) f)) n #s(literal -1 binary64))
(- n f)
(-.f64 n f)
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(-.f64 (neg.f64 n) f)
(+ f (* -1 n))
(-.f64 f n)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
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(- (+ 1 (* -1 (/ f n))) (/ f n))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
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(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
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(-.f64 (neg.f64 n) f)
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(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
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(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(+.f64 (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal 2 binary64)))) n)) n) #s(literal 1 binary64))
(* -1 (* n (- (/ f n) 1)))
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(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) f) (fma.f64 f (/.f64 f n) f)) n)) n))
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)

rewrite269.0ms (6.5%)

Memory
5.2MiB live, 301.5MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02286
03384
113584
299782
0939482
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 1 284
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
(+.f64 n f)
#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)
(/.f64 (+.f64 n f) (-.f64 n f))
Outputs
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 f n) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (fma.f64 f (+.f64 f n) (*.f64 n n)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (fma.f64 f (+.f64 f n) (*.f64 n n)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (+.f64 f n)))
(*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 f n))
(*.f64 (*.f64 #s(literal 1 binary64) (/.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 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1/2 binary64))) (pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 f n))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 f n))
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n)))
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(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (neg.f64 (+.f64 f n)))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal -1 binary64))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (+.f64 f n)))
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(-.f64 (/.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (-.f64 n f)) (/.f64 (*.f64 f (/.f64 f (-.f64 n f))) (-.f64 n f)))
(-.f64 (/.f64 (*.f64 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 n f)))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(+.f64 (*.f64 (fma.f64 f f (*.f64 n n)) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f 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 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (*.f64 (neg.f64 f) (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(+.f64 (*.f64 (neg.f64 n) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (*.f64 (neg.f64 f) (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(+.f64 (*.f64 (neg.f64 f) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (*.f64 (*.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(+.f64 (*.f64 (neg.f64 f) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (*.f64 (neg.f64 n) (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(+.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 n n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (*.f64 n n) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (*.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(+.f64 (*.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64)) (*.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64)) (*.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f n)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n (+.f64 f n))) (*.f64 (/.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 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f f)) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n (+.f64 f n))))
(+.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal 0 binary64)) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (*.f64 n #s(literal -1 binary64))) (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 f)))
(+.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 n)) (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 f)))
(+.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 f)) (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (*.f64 n #s(literal -1 binary64))))
(+.f64 (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 f)) (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 n)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 n n (*.f64 f f))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f n)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 f (+.f64 f n))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f))) (*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f))) (*.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f))))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n)))
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n)) (*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n))
(+.f64 (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) n) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) f))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))

eval331.0ms (8%)

Memory
-18.0MiB live, 328.2MiB allocated
Compiler

Compiled 33 715 to 3 448 computations (89.8% saved)

prune27.0ms (0.7%)

Memory
-12.9MiB live, 80.6MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New1 36711 368
Fresh134
Picked055
Done000
Total1 36891 377
Accuracy
100.0%
Counts
1 377 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
▶46.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓54.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
▶100.0%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n))))
▶46.5%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
✓55.0%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
▶45.0%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
✓53.7%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 101 to 74 computations (26.7% saved)

simplify75.0ms (1.8%)

Memory
8.3MiB live, 45.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 7 (0.0ms)

IterNodesCost
021104
032104
151104
285104
3140102
4249102
544198
6102394
7150692
8179192
9192092
10197992
11200092
12200092
0200092
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n))))
#s(literal 1 binary64)
(-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n)))
(/.f64 n (+.f64 f n))
n
(+.f64 f n)
f
(/.f64 f (+.f64 f n))
(/.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
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n))))
(/.f64 (+.f64 n f) (-.f64 n f))
#s(literal 1 binary64)
(-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n)))
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 n (+.f64 f n))
(/.f64 n (+.f64 n f))
n
(+.f64 f n)
(+.f64 n f)
f
(/.f64 f (+.f64 f n))
(/.f64 f (+.f64 n f))
(/.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

localize56.0ms (1.3%)

Memory
13.7MiB live, 48.3MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 f n)
accuracy0
(neg.f64 n)
accuracy0.041347509768442016
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy34.48381992253136
#s(approx (neg (+ f n)) (neg.f64 n))
accuracy0.015625
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n))))
accuracy0.01953125
(/.f64 f (+.f64 f n))
accuracy0.01953125
(-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n)))
accuracy0.0234375
(/.f64 n (+.f64 f n))
accuracy0
(/.f64 #s(literal 2 binary64) n)
accuracy0.08984375
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
accuracy34.225881757610665
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
accuracy35.198898335681996
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Samples
44.0ms256×0valid
Compiler

Compiled 196 to 39 computations (80.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-div: 22.0ms (66.5% of total)
ival-sub: 4.0ms (12.1% of total)
ival-add: 3.0ms (9.1% of total)
ival-mult: 2.0ms (6% of total)
ival-neg: 2.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.4%)

Memory
-12.6MiB live, 22.7MiB allocated
Counts
13 → 103
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- 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)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
(-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n))))
(/.f64 n (+.f64 f n))
(+.f64 f n)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
(/.f64 f (+.f64 f n))
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ 1 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ 1 (* -1 (/ f n)))
(+ 1 (* f (- (/ f (pow n 2)) (/ 1 n))))
(+ 1 (* f (- (* f (+ (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))))
n
(+ f n)
(* -1 n)
(- (* -1 f) n)
(- f n)
(/ f n)
(* f (+ (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (+ (* f (- (/ f (pow n 3)) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (+ (* f (- (* f (+ (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(- (* 2 (/ n f)) 1)
(- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) (+ 1 (/ (pow n 2) (pow f 2))))
(- (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (/ (pow n 3) (pow f 3)))) (+ 1 (+ (* -1 (/ (pow n 3) (pow f 3))) (/ (pow n 2) (pow f 2)))))
(- (* -2 (/ n f)) 1)
(- (/ (pow n 2) (pow f 2)) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
(- (+ (* -1 (/ (pow n 3) (pow f 3))) (/ (pow n 2) (pow f 2))) (+ 1 (+ (* -2 (/ (* n (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2))))) (pow f 3))) (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (+ (* 2 (/ (* n (- (* -1 (pow n 2)) (pow n 2))) (pow f 3))) (+ (* 4 (/ (pow n 2) (pow f 2))) (/ (pow n 3) (pow f 3)))))))))
(/ n f)
(/ (+ n (* -1 (/ (pow n 2) f))) f)
(/ (- (+ n (/ (pow n 3) (pow f 2))) (/ (pow n 2) f)) f)
(/ (- (+ n (* -1 (/ (pow n 4) (pow f 3)))) (+ (* -1 (/ (pow n 3) (pow f 2))) (/ (pow n 2) f))) f)
f
(* f (+ 1 (/ n f)))
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (+ 1 (* -1 (/ n f))))
(+ 1 (* -1 (/ n f)))
(- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f))
(- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -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)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* 2 (/ (pow n 2) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* 2 (/ (pow n 3) f)) (* 2 (pow n 2))) f))) n) f)) 1)
(- (* -1 (/ (- (+ n (+ (* -2 (/ (pow n 2) f)) (* -1 (/ (* (- n (* -1 n)) (- (* -1 n) n)) f)))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -2 (/ (pow n 3) f)) (+ (* 2 (/ (* (pow n 2) (- n (* -1 n))) f)) (/ (* (+ (* -2 (pow n 2)) (* -1 (* (- n (* -1 n)) (- (* -1 n) n)))) (- (* -1 n) n)) f))) (+ (* -2 (pow n 2)) (* -1 (* (- n (* -1 n)) (- (* -1 n) n))))) f))) (* -1 n)) f)) 1)
(* -1 (/ (+ (* -1 n) (/ (pow n 2) f)) f))
(* -1 (/ (+ (* -1 n) (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f))) f))
(* -1 (/ (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (pow n 2)) f))) f))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) (* -1 n)) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (* -1 (pow n 2))) f)) (* -1 n)) f)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(/ (+ n (* 2 f)) n)
(/ 2 n)
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* n (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(- (* -1 n) f)
(+ f (* -1 n))
(+ 1 (* n (- (/ n (pow f 2)) (/ 1 f))))
(+ 1 (* n (- (* n (+ (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n))))
(- (+ 1 (+ (* -1 (/ (pow f 3) (pow n 3))) (/ (pow f 2) (pow n 2)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (/ (pow f 3) (pow n 3)))))
(- (+ 1 (* -1 (/ (pow f 2) (pow n 2)))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (* -1 (/ (pow f 2) (pow n 2))) (/ (pow f 3) (pow n 3)))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (+ (* -2 (/ (* f (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2)))) (pow n 3))) (+ (* -1 (/ (pow f 3) (pow n 3))) (+ (* 2 (/ (* f (- (pow f 2) (* -1 (pow f 2)))) (pow n 3))) (/ (pow f 2) (pow n 2))))))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n))
(- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))
(* n (+ 1 (/ f n)))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(/ (+ f (* -1 (/ (pow f 2) n))) n)
(/ (- (+ f (/ (pow f 3) (pow n 2))) (/ (pow f 2) n)) n)
(/ (- (+ f (* -1 (/ (pow f 4) (pow n 3)))) (+ (* -1 (/ (pow f 3) (pow n 2))) (/ (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 (* -1 (/ (- f (* -1 f)) n)))
(+ 1 (* -1 (/ (- (+ f (* -2 (/ (pow f 2) n))) (* -1 f)) n)))
(+ 1 (* -1 (/ (- (+ f (* -1 (/ (+ (* -2 (/ (pow f 3) n)) (* 2 (pow f 2))) n))) (* -1 f)) n)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (- (* -1 f) f) 2) n)) (* 2 (/ (pow f 2) n))) (* -1 (- (* -1 f) f))) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (pow f 2) (- (* -1 f) f)) n)) (+ (* 2 (/ (pow f 3) n)) (/ (* (+ (* -1 (pow (- (* -1 f) f) 2)) (* 2 (pow f 2))) (- (* -1 f) f)) n))) (+ (* -1 (pow (- (* -1 f) f) 2)) (* 2 (pow f 2)))) n)) (* -1 (- (* -1 f) f))) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) (* -1 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)) (* -1 f)) n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (/ (+ (* -1 f) (/ (pow f 2) n)) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (pow f 3)) n)) (pow f 2)) n))) n))
Calls

6 calls:

TimeVariablePointExpression
8.0ms
n
@-inf
((/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (- (/ n (+ f n)) (/ f (+ f n))) (/ 1 (- (/ n (+ f n)) (/ f (+ f n)))) (/ n (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ f (+ f n)))
2.0ms
n
@inf
((/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (- (/ n (+ f n)) (/ f (+ f n))) (/ 1 (- (/ n (+ f n)) (/ f (+ f n)))) (/ n (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ f (+ f n)))
2.0ms
f
@inf
((/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (- (/ n (+ f n)) (/ f (+ f n))) (/ 1 (- (/ n (+ f n)) (/ f (+ f n)))) (/ n (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ f (+ f n)))
2.0ms
f
@-inf
((/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (- (/ n (+ f n)) (/ f (+ f n))) (/ 1 (- (/ n (+ f n)) (/ f (+ f n)))) (/ n (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ f (+ f n)))
2.0ms
n
@0
((/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (- (/ n (+ f n)) (/ f (+ f n))) (/ 1 (- (/ n (+ f n)) (/ f (+ f n)))) (/ n (+ f n)) (+ f n) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ f (+ f n)))

simplify199.0ms (4.8%)

Memory
30.2MiB live, 234.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04941761
116081616
248731503
083031406
Stop Event
1×iter limit
1×node limit
Counts
103 → 101
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 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ 1 (* -1 (/ f n)))
(+ 1 (* f (- (/ f (pow n 2)) (/ 1 n))))
(+ 1 (* f (- (* f (+ (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))))
n
(+ f n)
(* -1 n)
(- (* -1 f) n)
(- f n)
(/ f n)
(* f (+ (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (+ (* f (- (/ f (pow n 3)) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (+ (* f (- (* f (+ (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(- (* 2 (/ n f)) 1)
(- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) (+ 1 (/ (pow n 2) (pow f 2))))
(- (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (/ (pow n 3) (pow f 3)))) (+ 1 (+ (* -1 (/ (pow n 3) (pow f 3))) (/ (pow n 2) (pow f 2)))))
(- (* -2 (/ n f)) 1)
(- (/ (pow n 2) (pow f 2)) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
(- (+ (* -1 (/ (pow n 3) (pow f 3))) (/ (pow n 2) (pow f 2))) (+ 1 (+ (* -2 (/ (* n (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2))))) (pow f 3))) (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (+ (* 2 (/ (* n (- (* -1 (pow n 2)) (pow n 2))) (pow f 3))) (+ (* 4 (/ (pow n 2) (pow f 2))) (/ (pow n 3) (pow f 3)))))))))
(/ n f)
(/ (+ n (* -1 (/ (pow n 2) f))) f)
(/ (- (+ n (/ (pow n 3) (pow f 2))) (/ (pow n 2) f)) f)
(/ (- (+ n (* -1 (/ (pow n 4) (pow f 3)))) (+ (* -1 (/ (pow n 3) (pow f 2))) (/ (pow n 2) f))) f)
f
(* f (+ 1 (/ n f)))
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (+ 1 (* -1 (/ n f))))
(+ 1 (* -1 (/ n f)))
(- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f))
(- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -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)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* 2 (/ (pow n 2) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* 2 (/ (pow n 3) f)) (* 2 (pow n 2))) f))) n) f)) 1)
(- (* -1 (/ (- (+ n (+ (* -2 (/ (pow n 2) f)) (* -1 (/ (* (- n (* -1 n)) (- (* -1 n) n)) f)))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -2 (/ (pow n 3) f)) (+ (* 2 (/ (* (pow n 2) (- n (* -1 n))) f)) (/ (* (+ (* -2 (pow n 2)) (* -1 (* (- n (* -1 n)) (- (* -1 n) n)))) (- (* -1 n) n)) f))) (+ (* -2 (pow n 2)) (* -1 (* (- n (* -1 n)) (- (* -1 n) n))))) f))) (* -1 n)) f)) 1)
(* -1 (/ (+ (* -1 n) (/ (pow n 2) f)) f))
(* -1 (/ (+ (* -1 n) (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f))) f))
(* -1 (/ (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (pow n 2)) f))) f))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) (* -1 n)) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (* -1 (pow n 2))) f)) (* -1 n)) f)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(/ (+ n (* 2 f)) n)
(/ 2 n)
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* n (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(- (* -1 n) f)
(+ f (* -1 n))
(+ 1 (* n (- (/ n (pow f 2)) (/ 1 f))))
(+ 1 (* n (- (* n (+ (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n))))
(- (+ 1 (+ (* -1 (/ (pow f 3) (pow n 3))) (/ (pow f 2) (pow n 2)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (/ (pow f 3) (pow n 3)))))
(- (+ 1 (* -1 (/ (pow f 2) (pow n 2)))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (* -1 (/ (pow f 2) (pow n 2))) (/ (pow f 3) (pow n 3)))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (+ (* -2 (/ (* f (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2)))) (pow n 3))) (+ (* -1 (/ (pow f 3) (pow n 3))) (+ (* 2 (/ (* f (- (pow f 2) (* -1 (pow f 2)))) (pow n 3))) (/ (pow f 2) (pow n 2))))))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n))
(- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))
(* n (+ 1 (/ f n)))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(/ (+ f (* -1 (/ (pow f 2) n))) n)
(/ (- (+ f (/ (pow f 3) (pow n 2))) (/ (pow f 2) n)) n)
(/ (- (+ f (* -1 (/ (pow f 4) (pow n 3)))) (+ (* -1 (/ (pow f 3) (pow n 2))) (/ (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 (* -1 (/ (- f (* -1 f)) n)))
(+ 1 (* -1 (/ (- (+ f (* -2 (/ (pow f 2) n))) (* -1 f)) n)))
(+ 1 (* -1 (/ (- (+ f (* -1 (/ (+ (* -2 (/ (pow f 3) n)) (* 2 (pow f 2))) n))) (* -1 f)) n)))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (- (* -1 f) f) 2) n)) (* 2 (/ (pow f 2) n))) (* -1 (- (* -1 f) f))) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (pow f 2) (- (* -1 f) f)) n)) (+ (* 2 (/ (pow f 3) n)) (/ (* (+ (* -1 (pow (- (* -1 f) f) 2)) (* 2 (pow f 2))) (- (* -1 f) f)) n))) (+ (* -1 (pow (- (* -1 f) f) 2)) (* 2 (pow f 2)))) n)) (* -1 (- (* -1 f) f))) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) (* -1 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)) (* -1 f)) n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (/ (+ (* -1 f) (/ (pow f 2) n)) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (pow f 3)) n)) (pow f 2)) n))) n))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* -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 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) (neg.f64 f)) n) #s(literal 1 binary64))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* -1 (/ f n)))
(-.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* f (- (/ f (pow n 2)) (/ 1 n))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 f) (/.f64 f n) f) n))
(+ 1 (* f (- (* f (+ (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) n) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) f (/.f64 #s(literal -1 binary64) n)) f #s(literal 1 binary64))
n
(+ f n)
(+.f64 n f)
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- f n)
(-.f64 f n)
(/ f n)
(/.f64 f n)
(* f (+ (* -1 (/ f (pow n 2))) (/ 1 n)))
(/.f64 (fma.f64 (neg.f64 f) (/.f64 f n) f) n)
(* f (+ (* f (- (/ f (pow n 3)) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (-.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) n) n)) f (/.f64 #s(literal 1 binary64) n)) f)
(* f (+ (* f (- (* f (+ (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))) f (/.f64 #s(literal -1 binary64) (*.f64 n n))) f (/.f64 #s(literal 1 binary64) n)) f)
-1
#s(literal -1 binary64)
(- (* -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 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #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 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 f #s(literal 3 binary64)))) #s(literal 1 binary64))
(* 2 (/ f n))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (* 2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) (+ 1 (/ (pow n 2) (pow f 2))))
(fma.f64 (/.f64 #s(literal 2 binary64) f) n (neg.f64 (fma.f64 (/.f64 (/.f64 n f) f) n (fma.f64 (/.f64 n f) (/.f64 n f) #s(literal 1 binary64)))))
(- (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (/ (pow n 3) (pow f 3)))) (+ 1 (+ (* -1 (/ (pow n 3) (pow f 3))) (/ (pow n 2) (pow f 2)))))
(-.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 n) f) f) n (fma.f64 (/.f64 n f) #s(literal 2 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64)))) (fma.f64 (/.f64 (/.f64 n f) f) n (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64)))))
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (/ (pow n 2) (pow f 2)) (+ 1 (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (* 4 (/ (pow n 2) (pow f 2)))))))
(-.f64 (fma.f64 (/.f64 (/.f64 n f) f) n (fma.f64 (/.f64 (/.f64 n f) f) n #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 4 binary64) f) (*.f64 n (/.f64 n f)) (*.f64 (/.f64 n f) #s(literal 2 binary64))))
(- (+ (* -1 (/ (pow n 3) (pow f 3))) (/ (pow n 2) (pow f 2))) (+ 1 (+ (* -2 (/ (* n (- (pow n 2) (+ (* -1 (pow n 2)) (* 4 (pow n 2))))) (pow f 3))) (+ (* -1 (/ (pow n 2) (pow f 2))) (+ (* 2 (/ n f)) (+ (* 2 (/ (* n (- (* -1 (pow n 2)) (pow n 2))) (pow f 3))) (+ (* 4 (/ (pow n 2) (pow f 2))) (/ (pow n 3) (pow f 3)))))))))
(-.f64 (-.f64 (fma.f64 (/.f64 (/.f64 n f) f) n #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 (fma.f64 #s(literal -3 binary64) (*.f64 n n) (*.f64 n n)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (neg.f64 n) f) f) n (fma.f64 #s(literal 2 binary64) (-.f64 (/.f64 n f) (/.f64 (*.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 4 binary64) f) (*.f64 n (/.f64 n f)) (pow.f64 (/.f64 n f) #s(literal 3 binary64))))))) (pow.f64 (/.f64 n f) #s(literal 3 binary64)))
(/ n f)
(/.f64 n f)
(/ (+ n (* -1 (/ (pow n 2) f))) f)
(/.f64 (fma.f64 (neg.f64 n) (/.f64 n f) n) f)
(/ (- (+ n (/ (pow n 3) (pow f 2))) (/ (pow n 2) f)) f)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 n) n (/.f64 (pow.f64 n #s(literal 3 binary64)) f)) f) n) f)
(/ (- (+ n (* -1 (/ (pow n 4) (pow f 3)))) (+ (* -1 (/ (pow n 3) (pow f 2))) (/ (pow n 2) f))) f)
(/.f64 (-.f64 (-.f64 n (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 n n (/.f64 (pow.f64 n #s(literal 3 binary64)) (neg.f64 f))) f)) f)
f
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* f (+ 1 (* -1 (/ n f))))
(fma.f64 (/.f64 (neg.f64 n) f) f f)
(+ 1 (* -1 (/ n f)))
(-.f64 #s(literal 1 binary64) (/.f64 n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 n f) n) f))
(- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ n f)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 n) (/.f64 n f) n) 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 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #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 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) f) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) n) n)) f)) f))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 n) (* 2 (/ (pow n 2) f))) n) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 n (/.f64 n f)) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) n)) f))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* 2 (/ (pow n 3) f)) (* 2 (pow n 2))) f))) n) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (neg.f64 n) n (/.f64 (pow.f64 n #s(literal 3 binary64)) f)) f) (*.f64 #s(literal 2 binary64) n)) f) #s(literal 1 binary64))
(- (* -1 (/ (- (+ n (+ (* -2 (/ (pow n 2) f)) (* -1 (/ (* (- n (* -1 n)) (- (* -1 n) n)) f)))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 n n) (*.f64 n n))) f) (*.f64 #s(literal -2 binary64) n)) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -2 (/ (pow n 3) f)) (+ (* 2 (/ (* (pow n 2) (- n (* -1 n))) f)) (/ (* (+ (* -2 (pow n 2)) (* -1 (* (- n (* -1 n)) (- (* -1 n) n)))) (- (* -1 n) n)) f))) (+ (* -2 (pow n 2)) (* -1 (* (- n (* -1 n)) (- (* -1 n) n))))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 n (/.f64 (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) f) #s(literal -2 binary64) (fma.f64 (neg.f64 (fma.f64 #s(literal -3 binary64) (*.f64 n n) (*.f64 n n))) (*.f64 (/.f64 n f) #s(literal -2 binary64)) (fma.f64 (*.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) f) #s(literal 2 binary64)) #s(literal 2 binary64) (fma.f64 #s(literal -3 binary64) (*.f64 n n) (*.f64 n n))))) f)) n) f))
(* -1 (/ (+ (* -1 n) (/ (pow n 2) f)) f))
(/.f64 (fma.f64 (neg.f64 n) (/.f64 n f) n) f)
(* -1 (/ (+ (* -1 n) (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f))) f))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 n) n (/.f64 (pow.f64 n #s(literal 3 binary64)) f)) f) n) f)
(* -1 (/ (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (pow n 2)) f))) f))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 n n (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (pow.f64 n #s(literal 3 binary64))) f))) f) n) f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 (/.f64 n f) f f)
(* -1 (* f (+ 1 (/ n f))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (* f (- (/ n f) 1)))
(fma.f64 (/.f64 (neg.f64 n) f) f f)
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) (* -1 n)) f)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 n f) n) f))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (* -1 (pow n 2))) f)) (* -1 n)) f)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 n) (/.f64 n f) n) f))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #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 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(/ (+ n (* 2 f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64) (/.f64 #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 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal 2 binary64) f)) n #s(literal -1 binary64))
(* n (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(/.f64 (fma.f64 (neg.f64 n) (/.f64 n f) n) f)
(* n (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f)))
(fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) n (/.f64 (/.f64 (neg.f64 n) f) f)) n (/.f64 n f))
(* n (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 f #s(literal 3 binary64))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) n (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal 1 binary64) f)) n)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(+ f (* -1 n))
(-.f64 f n)
(+ 1 (* n (- (/ n (pow f 2)) (/ 1 f))))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 n) (/.f64 n f) n) f))
(+ 1 (* n (- (* n (+ (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))))
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) f) (/.f64 n (pow.f64 f #s(literal 3 binary64)))) n (/.f64 #s(literal -1 binary64) f)) n #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #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 (fma.f64 (/.f64 f (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) (neg.f64 f)) n) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (pow f 3) (pow n 3))) (/ (pow f 2) (pow n 2)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (/ (pow f 3) (pow n 3)))))
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f (pow.f64 (/.f64 f n) #s(literal 3 binary64))))
(- (+ 1 (* -1 (/ (pow f 2) (pow n 2)))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))))
(fma.f64 (/.f64 (neg.f64 f) (*.f64 n n)) f (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -4 binary64) (*.f64 (/.f64 (/.f64 f n) n) f) (fma.f64 #s(literal -2 binary64) (/.f64 f n) (*.f64 (/.f64 (/.f64 f n) n) f)))))
(- (+ 1 (+ (* -1 (/ (pow f 2) (pow n 2))) (/ (pow f 3) (pow n 3)))) (+ (* -4 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (+ (* -2 (/ (* f (- (* -1 (pow f 2)) (+ (* -4 (pow f 2)) (pow f 2)))) (pow n 3))) (+ (* -1 (/ (pow f 3) (pow n 3))) (+ (* 2 (/ (* f (- (pow f 2) (* -1 (pow f 2)))) (pow n 3))) (/ (pow f 2) (pow n 2))))))))
(-.f64 (fma.f64 (/.f64 (neg.f64 f) (*.f64 n n)) f (+.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal -4 binary64) n) (*.f64 f (/.f64 f n)) (fma.f64 #s(literal -2 binary64) (-.f64 (/.f64 f n) (/.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 2 binary64) (fma.f64 (/.f64 (/.f64 f n) n) f (neg.f64 (pow.f64 (/.f64 f n) #s(literal 3 binary64))))))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 f) (/.f64 f n) f) n))
(- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 f) (/.f64 f n) f) n))
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* n (- (/ f n) 1))
(fma.f64 (/.f64 f n) n (neg.f64 n))
(/ (+ f (* -1 (/ (pow f 2) n))) n)
(/.f64 (fma.f64 (neg.f64 f) (/.f64 f n) f) n)
(/ (- (+ f (/ (pow f 3) (pow n 2))) (/ (pow f 2) n)) n)
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 f) f (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) n) f) n)
(/ (- (+ f (* -1 (/ (pow f 4) (pow n 3)))) (+ (* -1 (/ (pow f 3) (pow n 2))) (/ (pow f 2) n))) n)
(/.f64 (-.f64 (-.f64 f (/.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 3 binary64)) (neg.f64 n))) n)) n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* -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 (/.f64 (fma.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) f) f)) n) (*.f64 #s(literal 2 binary64) f)) n))
(+ 1 (* -1 (/ (- f (* -1 f)) n)))
(fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ f (* -2 (/ (pow f 2) n))) (* -1 f)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 (*.f64 f (/.f64 f n)) #s(literal -2 binary64) f) f) n))
(+ 1 (* -1 (/ (- (+ f (* -1 (/ (+ (* -2 (/ (pow f 3) n)) (* 2 (pow f 2))) n))) (* -1 f)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 f (/.f64 (fma.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal -2 binary64) (*.f64 (*.f64 f f) #s(literal 2 binary64))) n)) f) n))
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (- (* -1 f) f) 2) n)) (* 2 (/ (pow f 2) n))) (* -1 (- (* -1 f) f))) n)))
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* (pow f 2) (- (* -1 f) f)) n)) (+ (* 2 (/ (pow f 3) n)) (/ (* (+ (* -1 (pow (- (* -1 f) f) 2)) (* 2 (pow f 2))) (- (* -1 f) f)) n))) (+ (* -1 (pow (- (* -1 f) f) 2)) (* 2 (pow f 2)))) n)) (* -1 (- (* -1 f) f))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) f) f (fma.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) n) #s(literal -2 binary64) (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) (/.f64 (*.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) n))) (neg.f64 n))) n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) (* -1 f)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 f) (/.f64 f n) f) n))
(+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)) (* -1 f)) n)))
(-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 f) (/.f64 f n) f) n))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 f n) n n)
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(fma.f64 (/.f64 f n) n (neg.f64 n))
(* -1 (/ (+ (* -1 f) (/ (pow f 2) n)) n))
(/.f64 (fma.f64 (neg.f64 f) (/.f64 f n) f) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n))) n))
(/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 f) f (/.f64 (pow.f64 f #s(literal 3 binary64)) n)) n) f) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (pow f 3)) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 f f (/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) (pow.f64 f #s(literal 3 binary64))) n))) n) f) n)

rewrite151.0ms (3.6%)

Memory
9.8MiB live, 241.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02194
03286
113486
2111184
0830084
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 868
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- 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)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
(-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n))))
(/.f64 n (+.f64 f n))
(+.f64 f n)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
(/.f64 f (+.f64 f n))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.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 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))))))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) f)))))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.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 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))))
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(fma.f64 (pow.f64 (+.f64 n f) #s(literal -1 binary64)) (/.f64 (/.f64 n (+.f64 n f)) (pow.f64 f #s(literal -1 binary64))) (pow.f64 (/.f64 f (+.f64 n f)) #s(literal 2 binary64)))
(fma.f64 (pow.f64 (+.f64 n f) #s(literal -1 binary64)) (/.f64 (/.f64 f (+.f64 n f)) (pow.f64 f #s(literal -1 binary64))) (*.f64 (*.f64 n f) (pow.f64 (+.f64 n f) #s(literal -2 binary64))))
(fma.f64 (*.f64 n f) (pow.f64 (+.f64 n f) #s(literal -2 binary64)) (pow.f64 (/.f64 f (+.f64 n f)) #s(literal 2 binary64)))
(fma.f64 (*.f64 f f) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 n f)) #s(literal 2 binary64)) (*.f64 (*.f64 n f) (pow.f64 (+.f64 n f) #s(literal -2 binary64))))
(fma.f64 (*.f64 f f) (pow.f64 (+.f64 n f) #s(literal -2 binary64)) (*.f64 (*.f64 n f) (pow.f64 (+.f64 n f) #s(literal -2 binary64))))
(fma.f64 (/.f64 f (+.f64 n f)) (/.f64 (pow.f64 (+.f64 n f) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (/.f64 f (+.f64 n f)) #s(literal 2 binary64)))
(fma.f64 (/.f64 f (+.f64 n f)) (/.f64 (pow.f64 (+.f64 n f) #s(literal -1 binary64)) (pow.f64 f #s(literal -1 binary64))) (*.f64 (*.f64 n f) (pow.f64 (+.f64 n f) #s(literal -2 binary64))))
(fma.f64 (/.f64 f (+.f64 n f)) (/.f64 f (+.f64 n f)) (*.f64 (*.f64 n f) (pow.f64 (+.f64 n f) #s(literal -2 binary64))))
(fma.f64 (/.f64 f (+.f64 n f)) (/.f64 n (+.f64 n f)) (pow.f64 (/.f64 f (+.f64 n f)) #s(literal 2 binary64)))
(fma.f64 (/.f64 n (+.f64 n f)) (/.f64 (pow.f64 (+.f64 n f) #s(literal -1 binary64)) (pow.f64 f #s(literal -1 binary64))) (pow.f64 (/.f64 f (+.f64 n f)) #s(literal 2 binary64)))
(fma.f64 (/.f64 n (+.f64 n f)) (/.f64 f (+.f64 n f)) (pow.f64 (/.f64 f (+.f64 n f)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 n f) (pow.f64 (+.f64 n f) #s(literal -2 binary64))) (pow.f64 (/.f64 f (+.f64 n f)) #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 f (+.f64 n f)) #s(literal 2 binary64)) (*.f64 (*.f64 n f) (pow.f64 (+.f64 n f) #s(literal -2 binary64))))
(fma.f64 n (*.f64 (pow.f64 (+.f64 n f) #s(literal -1 binary64)) (/.f64 f (+.f64 n f))) (pow.f64 (/.f64 f (+.f64 n f)) #s(literal 2 binary64)))
(fma.f64 f (*.f64 (pow.f64 (+.f64 n f) #s(literal -1 binary64)) (/.f64 f (+.f64 n f))) (*.f64 (*.f64 n f) (pow.f64 (+.f64 n f) #s(literal -2 binary64))))
(-.f64 (/.f64 (pow.f64 (/.f64 f (+.f64 n f)) #s(literal 4 binary64)) (/.f64 (/.f64 (-.f64 f n) (+.f64 n f)) (/.f64 (+.f64 n f) f))) (/.f64 (pow.f64 (*.f64 (*.f64 n f) (pow.f64 (+.f64 n f) #s(literal -2 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 (-.f64 f n) (+.f64 n f)) (/.f64 (+.f64 n f) f))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 n f)) (/.f64 (neg.f64 f) (+.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) f)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 n f) (pow.f64 (+.f64 n f) #s(literal -2 binary64))) (pow.f64 (/.f64 f (+.f64 n f)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (/.f64 f (+.f64 n f)) #s(literal 2 binary64)) (*.f64 (*.f64 n f) (pow.f64 (+.f64 n f) #s(literal -2 binary64))))

eval136.0ms (3.3%)

Memory
-25.1MiB live, 246.4MiB allocated
Compiler

Compiled 28 192 to 3 804 computations (86.5% saved)

prune15.0ms (0.4%)

Memory
19.9MiB live, 58.8MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New9840984
Fresh000
Picked044
Done055
Total9849993
Accuracy
100.0%
Counts
993 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
✓46.3%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓54.7%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
✓100.0%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n))))
✓46.5%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
✓55.0%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
✓45.0%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
✓53.7%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 238 to 118 computations (50.4% saved)

regimes13.0ms (0.3%)

Memory
-13.6MiB live, 24.5MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n))))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n))))
Calls

3 calls:

5.0ms
f
4.0ms
n
3.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
100.0%1f
100.0%1n
100.0%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes19.0ms (0.5%)

Memory
28.0MiB live, 28.0MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
Calls

3 calls:

7.0ms
f
7.0ms
n
5.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
100.0%1f
100.0%1n
100.0%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes20.0ms (0.5%)

Memory
-15.4MiB live, 28.3MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
Calls

3 calls:

8.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
6.0ms
f
5.0ms
n
Results
AccuracySegmentsBranch
99.9%1f
99.9%1n
99.9%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes18.0ms (0.4%)

Memory
1.0MiB live, 34.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Calls

3 calls:

9.0ms
n
5.0ms
f
4.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
77.6%3f
77.5%3n
98.5%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes3.0ms (0.1%)

Memory
5.4MiB live, 5.3MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

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

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.2%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

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

Compiled 8 to 6 computations (25% saved)

regimes1.0ms (0%)

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

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.1%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0.1%)

Memory
-26.5MiB live, 10.2MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

3.0ms
f
1.0ms
n
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
53.7%1n
53.7%1f
53.7%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999805716859281
0.9991769372972206
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999805716859281
0.9991769372972206
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999805716859281
0.9991769372972206
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999805716859281
0.9991769372972206
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch14.0ms (0.3%)

Memory
26.7MiB live, 26.7MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-0.9999805716859281
0.9991769372972206
Samples
5.0ms240×0valid
Compiler

Compiled 311 to 281 computations (9.6% saved)

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

simplify46.0ms (1.1%)

Memory
-28.8MiB live, 92.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
046213
164213
283213
396208
4112208
5144208
6177208
7241208
8318208
9367208
10427208
11479208
12522208
13560208
14591208
15619208
16629208
17631208
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #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 -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 #s(literal 1 binary64) (-.f64 (/.f64 n (+.f64 f n)) (/.f64 f (+.f64 f n))))
(/.f64 #s(literal -1 binary64) (-.f64 (/.f64 f (+.f64 f n)) (/.f64 n (+.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -2024022533073/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness902.0ms (21.7%)

Memory
8.8MiB live, 529.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0618
01018
14618
232717
0553017
0145384
1448349
21333314
35177304
08642278
02286
03384
113584
299782
0939482
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 356 to 143 computations (59.8% saved)

preprocess55.0ms (1.3%)

Memory
12.9MiB live, 94.1MiB allocated
Compiler

Compiled 432 to 98 computations (77.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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