subtraction fraction

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze16.0ms (0.3%)

Memory
-5.0MiB live, 29.1MiB 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)

sample634.0ms (10.9%)

Memory
35.8MiB live, 754.2MiB allocated
Samples
385.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 210.0ms
ival-div: 75.0ms (35.7% of total)
ival-add: 47.0ms (22.4% of total)
ival-sub: 41.0ms (19.5% of total)
ival-neg: 39.0ms (18.6% of total)
ival-true: 6.0ms (2.9% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain63.0ms (1.1%)

Memory
-3.0MiB live, 113.7MiB 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
33.0ms512×0valid
Compiler

Compiled 52 to 22 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-add: 8.0ms (39.1% of total)
ival-div: 5.0ms (24.4% of total)
ival-sub: 4.0ms (19.5% of total)
ival-neg: 2.0ms (9.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess57.0ms (1%)

Memory
11.9MiB live, 56.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01846
16135
217235
345535
4121535
5148735
6154435
7161235
8166935
068
0108
1218
2418
3787
41657
53127
66137
77397
87717
97877
107887
07887
Stop Event
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
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify28.0ms (0.5%)

Memory
-22.3MiB live, 15.6MiB 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-diff1
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0620
01020
12120
24120
37819
416519
531219
661319
773919
877119
978719
1078819
078819
Stop Event
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)

localize17.0ms (0.3%)

Memory
13.2MiB live, 13.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 f n)
accuracy0.0
(+.f64 f n)
accuracy0.0
(neg.f64 (+.f64 f n))
accuracy0.01953125
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
12.0ms256×0valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.1% of total)
ival-sub: 1.0ms (17.1% of total)
ival-add: 1.0ms (17.1% of total)
ival-neg: 1.0ms (17.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
3.2MiB live, 3.2MiB 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))

simplify247.0ms (4.2%)

Memory
6.4MiB live, 122.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145384
1448349
21348314
35264304
08383278
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)

rewrite123.0ms (2.1%)

Memory
2.4MiB live, 111.8MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0618
01018
14618
232717
0554717
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))

eval132.0ms (2.3%)

Memory
-21.1MiB live, 159.4MiB allocated
Compiler

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

prune16.0ms (0.3%)

Memory
-0.7MiB live, 47.9MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New5788586
Fresh000
Picked101
Done000
Total5798587
Accuracy
100.0%
Counts
587 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))))
100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
▶47.9%
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
52.5%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶49.5%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶52.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
51.6%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶48.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 234 to 136 computations (41.9% saved)

simplify102.0ms (1.8%)

Memory
18.9MiB live, 129.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 n f)
cost-diff0
(+.f64 n f)
cost-diff0
(*.f64 (+.f64 n f) (-.f64 n f))
cost-diff8
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
cost-diff0
(/.f64 #s(literal 2 binary64) n)
cost-diff0
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
cost-diff0
(-.f64 f n)
cost-diff0
(neg.f64 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-diff2
(+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))))
cost-diff2
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64)))
cost-diff8
(*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
cost-diff18
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))))
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
031235
050209
1106205
2261165
3778165
46853164
08131164
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64)))
#s(literal 0 binary64)
(pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))
(/.f64 (+.f64 n f) (-.f64 f n))
(+.f64 n f)
n
f
(-.f64 f n)
#s(literal 3 binary64)
(+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))))
(fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))
(*.f64 #s(literal 0 binary64) (/.f64 (+.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) 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 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
(*.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
(*.f64 (-.f64 n f) (-.f64 n f))
Outputs
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))))
(/.f64 (+.f64 f n) (-.f64 n f))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 3 binary64))
#s(literal 0 binary64)
(pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 3 binary64))
(/.f64 (+.f64 n f) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 f n))
(+.f64 n f)
(+.f64 f n)
n
f
(-.f64 f n)
#s(literal 3 binary64)
(+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))))
(*.f64 (/.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (-.f64 n f)) (+.f64 f n))
(fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))
(*.f64 (/.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (-.f64 n f)) (+.f64 f n))
(*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
#s(literal 0 binary64)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
#s(literal 2 binary64)
n
f
#s(literal 1 binary64)
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (+.f64 n f) (-.f64 n f))
(*.f64 (-.f64 n f) (+.f64 f n))
(+.f64 n f)
(+.f64 f n)
n
f
(-.f64 n f)
(*.f64 (-.f64 n f) (-.f64 n f))

localize115.0ms (2%)

Memory
-19.4MiB live, 96.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(+.f64 n f)
accuracy0.0
(*.f64 (+.f64 n f) (-.f64 n f))
accuracy0.00390625
(*.f64 (-.f64 n f) (-.f64 n f))
accuracy32.70174241668043
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
accuracy0.0
(/.f64 #s(literal 2 binary64) n)
accuracy0.10546875
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
accuracy30.23954374328579
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
accuracy0.0
(-.f64 f n)
accuracy0.0
(neg.f64 f)
accuracy0.01953125
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy32.44554830191694
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy32.98983012622792
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0.0078125
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))))
accuracy0.01171875
(fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))
accuracy0.01953125
(/.f64 (+.f64 n f) (-.f64 f n))
accuracy0.0234375
(pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))
Samples
95.0ms256×0valid
Compiler

Compiled 226 to 30 computations (86.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 63.0ms
ival-neg: 34.0ms (53.8% of total)
ival-div: 8.0ms (12.7% of total)
ival-add: 6.0ms (9.5% of total)
ival-mult: 6.0ms (9.5% of total)
ival-sub: 4.0ms (6.3% of total)
ival-pow: 4.0ms (6.3% of total)
exact: 1.0ms (1.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory
14.9MiB live, 50.9MiB allocated
Counts
20 → 156
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))))
(*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) 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 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
(*.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
(pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))
(/.f64 (+.f64 n f) (-.f64 f n))
(fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))
(*.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)))))
0
(+ 1 (* f (- (* 3 (/ 1 n)) (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))))))
(+ 1 (* f (- (+ (* 3 (/ 1 n)) (* f (- (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2))))))) (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))))))
(+ 1 (* f (- (+ (* 3 (/ 1 n)) (* f (- (+ (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (* f (+ (* -1 (/ (* (+ (* -2 n) (* -1 n)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (+ (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2)))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))))) (pow n 3))) (* 2 (/ 1 (pow n 3))))))) (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2))))))) (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))))))
(+ 1 (* 4 (/ f n)))
(+ 1 (* f (+ (* 8 (/ f (pow n 2))) (* 4 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 12 (/ f (pow n 3))) (* 8 (/ 1 (pow n 2))))) (* 4 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(pow n 2)
(+ (* f (+ n (* -1 n))) (pow n 2))
(+ (* f (+ n (+ (* -1 f) (* -1 n)))) (pow n 2))
n
(+ f n)
(+ n (* -1 f))
-1
(- (* f (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) 1)
(- (* f (- (+ (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* f (- (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2)))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3)))))) (* 3 (/ 1 n)))) 1)
(- (* f (- (+ (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* f (- (+ (* -1 (* f (+ (* -1 (/ (* (+ (* -2 n) (* -1 n)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (+ (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2)))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))))) (pow n 3))) (* 2 (/ 1 (pow n 3))))))) (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2))))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3)))))) (* 3 (/ 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)
(+ (* -2 (* f n)) (pow n 2))
(+ (* f (+ f (* -2 n))) (pow n 2))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(- (+ (* -2 (/ n f)) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ n f)) (/ n f))))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ n f)) (/ (* (+ (* -2 n) (* -1 n)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 2)))) (+ 1 (+ (* 2 (/ n f)) (/ n f))))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ n f)) (+ (* -1 (/ (* (pow (+ (* -2 n) (* -1 n)) 2) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 3))) (+ (* -1 (/ (pow n 3) (pow f 3))) (+ (/ (* (+ (* -2 n) (* -1 n)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 2)) (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 3))))))) (+ 1 (+ (* 2 (/ n f)) (+ (/ n f) (/ (pow n 3) (pow f 3))))))
(- (+ 1 (* 2 (/ n f))) (* -2 (/ n f)))
(- (+ 1 (+ (* 2 (/ n f)) (* 2 (/ (* n (- (* 2 n) (* -2 n))) (pow f 2))))) (* -2 (/ n f)))
(- (+ 1 (+ (* -1 (/ (+ (* -4 (* (pow n 2) (- (* 2 n) (* -2 n)))) (* (pow n 2) (- (* 2 n) (* -2 n)))) (pow f 3))) (* 2 (/ n f)))) (+ (* -2 (/ n f)) (* -2 (/ (* n (- (* 2 n) (* -2 n))) (pow f 2)))))
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(* -1 (pow f 2))
(* (pow f 2) (- (+ (* -1 (/ n f)) (/ n f)) 1))
(* (pow f 2) (- (+ (* -1 (/ n f)) (+ (/ n f) (/ (pow n 2) (pow f 2)))) 1))
(* f (+ 1 (/ n f)))
(* f (- (/ n f) 1))
(- (+ 1 (+ (* 2 (/ n f)) (/ n f))) (+ (* -2 (/ n f)) (* -1 (/ n f))))
(- (+ 1 (+ (* -1 (/ (* (+ (* -2 n) (* -1 n)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 2))) (+ (* 2 (/ n f)) (/ n f)))) (+ (* -2 (/ n f)) (* -1 (/ n f))))
(- (+ 1 (+ (* 2 (/ n f)) (+ (/ n f) (/ (pow n 3) (pow f 3))))) (+ (* -2 (/ n f)) (+ (* -1 (/ n f)) (+ (* -1 (/ (* (pow (+ (* -2 n) (* -1 n)) 2) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 3))) (+ (* -1 (/ (pow n 3) (pow f 3))) (+ (/ (* (+ (* -2 n) (* -1 n)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 2)) (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 3))))))))
(- (+ 1 (/ n f)) (* -1 (/ n f)))
(- (+ 1 (+ (/ n f) (/ (* n (- n (* -1 n))) (pow f 2)))) (* -1 (/ n f)))
(- (+ 1 (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3)))) (+ (* -1 (/ n f)) (* -1 (/ (* n (- n (* -1 n))) (pow f 2)))))
(pow f 2)
(* (pow f 2) (+ 1 (* -2 (/ n f))))
(* (pow f 2) (+ 1 (+ (* -2 (/ n f)) (/ (pow n 2) (pow f 2)))))
(- (* -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 (/ (- (+ n (* 2 n)) (* -1 (+ n (* 2 n)))) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (pow n 2)) (* -1 (pow n 2))) (+ (* -1 (+ (* 2 (pow n 2)) (pow n 2))) (* (+ n (* 2 n)) (- (+ n (* 2 n)) (* -1 (+ n (* 2 n))))))) f)) (* -1 (- (+ n (* 2 n)) (* -1 (+ n (* 2 n)))))) f)) 1)
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(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
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(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (/ f n) 1)))
(- (* -1 (/ (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))) n)) 1)
(- (* -1 (/ (- (+ f (+ (* -1 (/ (- (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) n)) (* 2 f))) (* -1 (+ f (* 2 f)))) n)) 1)
(- (* -1 (/ (- (+ f (+ (* -1 (/ (- (+ (* -2 (pow f 2)) (+ (* -1 (/ (- (pow f 3) (+ (* -1 (pow f 3)) (+ (* (+ f (* 2 f)) (- (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))))))) (* (+ (* 2 (pow f 2)) (pow f 2)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))))))) n)) (* -1 (pow f 2)))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) n)) (* 2 f))) (* -1 (+ f (* 2 f)))) n)) 1)
(- (* -1 (/ (- f (* -1 f)) n)) 1)
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(- (* -1 (/ (- (+ f (* -1 (/ (- (* -1 (/ (* (pow f 2) (- f (* -1 f))) n)) (* f (- f (* -1 f)))) n))) (* -1 f)) n)) 1)
(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow f 2) n)) (* 2 f)) n))))
Calls

6 calls:

TimeVariablePointExpression
6.0ms
n
@0
((/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) (* 0 (/ (+ n f) (- f n))) (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n))))) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (* (+ n f) (- n f)) (* (- n f) (- n f))) (* (+ n f) (- n f)) (+ n f) (- n f) (pow (/ (+ n f) (- f n)) 3) (/ (+ n f) (- f n)) (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))) (* (- n f) (- n f)))
5.0ms
n
@-inf
((/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) (* 0 (/ (+ n f) (- f n))) (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n))))) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (* (+ n f) (- n f)) (* (- n f) (- n f))) (* (+ n f) (- n f)) (+ n f) (- n f) (pow (/ (+ n f) (- f n)) 3) (/ (+ n f) (- f n)) (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))) (* (- n f) (- n f)))
4.0ms
f
@-inf
((/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) (* 0 (/ (+ n f) (- f n))) (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n))))) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (* (+ n f) (- n f)) (* (- n f) (- n f))) (* (+ n f) (- n f)) (+ n f) (- n f) (pow (/ (+ n f) (- f n)) 3) (/ (+ n f) (- f n)) (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))) (* (- n f) (- n f)))
4.0ms
n
@inf
((/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) (* 0 (/ (+ n f) (- f n))) (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n))))) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (* (+ n f) (- n f)) (* (- n f) (- n f))) (* (+ n f) (- n f)) (+ n f) (- n f) (pow (/ (+ n f) (- f n)) 3) (/ (+ n f) (- f n)) (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))) (* (- n f) (- n f)))
4.0ms
f
@0
((/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) (* 0 (/ (+ n f) (- f n))) (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n))))) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ 2 n) f) 1) (/ 2 n) (/ (* (+ n f) (- n f)) (* (- n f) (- n f))) (* (+ n f) (- n f)) (+ n f) (- n f) (pow (/ (+ n f) (- f n)) 3) (/ (+ n f) (- f n)) (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))) (* (- n f) (- n f)))

simplify178.0ms (3.1%)

Memory
-2.5MiB live, 153.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07893701
127023198
088382980
Stop Event
1×iter limit
1×node limit
Counts
156 → 154
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)))))
0
(+ 1 (* f (- (* 3 (/ 1 n)) (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))))))
(+ 1 (* f (- (+ (* 3 (/ 1 n)) (* f (- (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2))))))) (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))))))
(+ 1 (* f (- (+ (* 3 (/ 1 n)) (* f (- (+ (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (* f (+ (* -1 (/ (* (+ (* -2 n) (* -1 n)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (+ (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2)))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))))) (pow n 3))) (* 2 (/ 1 (pow n 3))))))) (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2))))))) (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))))))
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(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(pow n 2)
(+ (* f (+ n (* -1 n))) (pow n 2))
(+ (* f (+ n (+ (* -1 f) (* -1 n)))) (pow n 2))
n
(+ f n)
(+ n (* -1 f))
-1
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(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(* 2 (/ f n))
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(- (* -1 (/ n f)) (+ 1 (/ n f)))
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(* -1 (pow f 2))
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(* f (+ 1 (/ n f)))
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(* n (- (* -1 (/ f n)) 1))
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(- (* -1 (/ (- (+ f (+ (* -1 (/ (- (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) n)) (* 2 f))) (* -1 (+ f (* 2 f)))) n)) 1)
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1
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(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) f) f (*.f64 (*.f64 f f) (*.f64 (/.f64 f n) #s(literal 2 binary64)))) n)) n) #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (neg.f64 n))
(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (+ f (* -1 f))) (/ (pow f 2) n)) n))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 f f) n) #s(literal 0 binary64)) n)) n) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 (neg.f64 f) n) (neg.f64 n) n)
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(- (* -1 (/ (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))) n)) 1)
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) f) #s(literal -2 binary64)) n) #s(literal 1 binary64))
(- (* -1 (/ (- (+ f (+ (* -1 (/ (- (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) n)) (* 2 f))) (* -1 (+ f (* 2 f)))) n)) 1)
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) f (/.f64 (+.f64 (fma.f64 #s(literal -3 binary64) (*.f64 f f) (*.f64 (*.f64 f f) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) f) #s(literal -2 binary64)) #s(literal 3 binary64)) f)) (neg.f64 n))) (*.f64 #s(literal -3 binary64) f)) (neg.f64 n)) #s(literal 1 binary64))
(- (* -1 (/ (- (+ f (+ (* -1 (/ (- (+ (* -2 (pow f 2)) (+ (* -1 (/ (- (pow f 3) (+ (* -1 (pow f 3)) (+ (* (+ f (* 2 f)) (- (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))))))) (* (+ (* 2 (pow f 2)) (pow f 2)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))))))) n)) (* -1 (pow f 2)))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) n)) (* 2 f))) (* -1 (+ f (* 2 f)))) n)) 1)
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) f (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 f f) (/.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) f)) #s(literal 3 binary64)) (*.f64 f f) (*.f64 (+.f64 (fma.f64 #s(literal -3 binary64) (*.f64 f f) (*.f64 (*.f64 f f) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) f) #s(literal -2 binary64)) #s(literal 3 binary64)) f)) (*.f64 #s(literal 3 binary64) f))) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 n))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) f)) #s(literal 3 binary64)) f (*.f64 #s(literal -3 binary64) (*.f64 f f)))) (neg.f64 n))) (*.f64 #s(literal -3 binary64) f)) n) #s(literal -1 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- f (* -1 f)) n)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal -1 binary64))
(- (* -1 (/ (- (+ f (/ (* f (- f (* -1 f))) n)) (* -1 f)) n)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) f (*.f64 f (*.f64 #s(literal -2 binary64) (/.f64 f n)))) n) #s(literal 1 binary64))
(- (* -1 (/ (- (+ f (* -1 (/ (- (* -1 (/ (* (pow f 2) (- f (* -1 f))) n)) (* f (- f (* -1 f)))) n))) (* -1 f)) n)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) f) f (/.f64 (*.f64 (*.f64 (*.f64 f f) #s(literal -2 binary64)) f) n)) n)) n) #s(literal 1 binary64))
(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow f 2) n)) (* 2 f)) n))))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (*.f64 (neg.f64 f) f) n)) n)) n) n)

rewrite297.0ms (5.1%)

Memory
-5.0MiB live, 288.4MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031216
050159
1238135
22399135
08574135
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 1 083
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))))
(*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64)))
(+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) 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 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
(*.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
(pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))
(/.f64 (+.f64 n f) (-.f64 f n))
(fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))
(*.f64 (-.f64 n f) (-.f64 n f))
Outputs
(*.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -9 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal -6 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))) (/.f64 (-.f64 f n) (+.f64 f n))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n))
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 f n)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 (+.f64 f n)))
(*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (pow.f64 (/.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)))
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (neg.f64 (+.f64 f n)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 f n) (neg.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(*.f64 (+.f64 f n) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (neg.f64 (-.f64 f n)) (+.f64 f n)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (neg.f64 (-.f64 f n)) (+.f64 f n)) #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))))))
(/.f64 (neg.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) (/.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -9 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) #s(literal 1 binary64))) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64))) #s(literal 1 binary64))) (neg.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 5 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -9 binary64))) #s(literal 1 binary64))) (neg.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 8 binary64))))
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 f n)) #s(literal 1 binary64))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 5 binary64)))) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))))
(/.f64 (/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) (/.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -9 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64))) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 5 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)))) (neg.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 5 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)))) (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 5 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -9 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 8 binary64)))
(/.f64 (*.f64 (neg.f64 (+.f64 f n)) #s(literal 1 binary64)) (-.f64 f n))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 5 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))) (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -9 binary64))) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 8 binary64)))
(/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -9 binary64)) (neg.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 8 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 (-.f64 f n)) (+.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (neg.f64 (-.f64 f n)) (+.f64 f n)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 f n)) (+.f64 f n)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (neg.f64 (-.f64 f n)) (+.f64 f n)) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 (-.f64 f n)) (+.f64 f n))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
(/.f64 (neg.f64 (+.f64 f n)) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)))
(/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64)) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))))
(/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64)) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))
(/.f64 (+.f64 f n) (neg.f64 (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 (+.f64 f n) (neg.f64 (-.f64 f n)))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 5 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 5 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 8 binary64))) (/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -9 binary64)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 8 binary64))))
(-.f64 (/.f64 (neg.f64 n) (neg.f64 (neg.f64 (-.f64 f n)))) (/.f64 f (neg.f64 (neg.f64 (-.f64 f n)))))
(-.f64 (/.f64 (neg.f64 f) (neg.f64 (neg.f64 (-.f64 f n)))) (/.f64 n (neg.f64 (neg.f64 (-.f64 f n)))))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (neg.f64 f) (-.f64 f n)) (/.f64 n (-.f64 f n)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (neg.f64 (-.f64 f n))) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (neg.f64 (-.f64 f n))))
(-.f64 (/.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (neg.f64 (-.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (-.f64 n f)) (neg.f64 (-.f64 f n))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))) (/.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 5 binary64)) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))))
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(/.f64 (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (+.f64 f n))) (+.f64 f n))
(/.f64 (*.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (-.f64 n f)) (+.f64 f n))
(/.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal 2 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (-.f64 n f) (+.f64 f n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (+.f64 f n)))
(/.f64 (pow.f64 (*.f64 (-.f64 n f) (+.f64 f n)) #s(literal 2 binary64)) (pow.f64 (+.f64 f n) #s(literal 2 binary64)))
(/.f64 (*.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (+.f64 f n) (fma.f64 f (+.f64 f n) (*.f64 n n))))
(fma.f64 (-.f64 n f) n (*.f64 (-.f64 n f) (neg.f64 f)))
(fma.f64 n (-.f64 n f) (*.f64 (neg.f64 f) (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (-.f64 n f)) #s(literal 2 binary64)))
(+.f64 (*.f64 (-.f64 n f) n) (*.f64 (-.f64 n f) (neg.f64 f)))
(+.f64 (*.f64 n (-.f64 n f)) (*.f64 (neg.f64 f) (-.f64 n f)))

eval522.0ms (9%)

Memory
18.7MiB live, 517.4MiB allocated
Compiler

Compiled 90 913 to 7 371 computations (91.9% saved)

prune57.0ms (1%)

Memory
2.5MiB live, 127.6MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2 09722 099
Fresh123
Picked145
Done000
Total2 09982 107
Accuracy
100.0%
Counts
2 107 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
▶100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
✓47.9%
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
▶52.5%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓49.5%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶51.6%
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
✓52.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
✓48.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 137 to 76 computations (44.5% saved)

simplify142.0ms (2.4%)

Memory
3.1MiB live, 124.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 (+.f64 n f) (-.f64 f n))
cost-diff0
(pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))
cost-diff1
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64)))
cost-diff19
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
cost-diff0
(-.f64 n f)
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 (+.f64 n f) (-.f64 n f))
cost-diff0
(-.f64 f n)
cost-diff0
(neg.f64 n)
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 n))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
cost-diff0
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032171
045139
1103137
2213120
3706118
44525118
08193118
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64)))
#s(literal 0 binary64)
(pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))
(/.f64 (+.f64 n f) (-.f64 f n))
(+.f64 n f)
n
f
(-.f64 f n)
#s(literal 3 binary64)
(*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 f n))
(+.f64 f n)
Outputs
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 n f)
(+.f64 f n)
n
f
(-.f64 n f)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64)))
(neg.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 3 binary64)))
#s(literal 0 binary64)
(pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))
(pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 3 binary64))
(/.f64 (+.f64 n f) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 f n))
(+.f64 n f)
(+.f64 f n)
n
f
(-.f64 f n)
#s(literal 3 binary64)
(*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (-.f64 n f) (-.f64 n f))) (+.f64 f n))
(/.f64 (+.f64 f n) (-.f64 f n))
(+.f64 f n)

localize69.0ms (1.2%)

Memory
-16.3MiB live, 102.5MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0.01171875
(*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)))
accuracy0.01953125
(/.f64 (+.f64 n f) (-.f64 f n))
accuracy0.01953125
(/.f64 (+.f64 f n) (-.f64 f n))
accuracy0.0234375
(pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))
accuracy0.0
(-.f64 n f)
accuracy0.0
(+.f64 n f)
accuracy0.01953125
(/.f64 (+.f64 n f) (-.f64 n f))
accuracy0.0
(-.f64 f n)
accuracy0.0
(neg.f64 n)
accuracy0.01953125
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy30.479367252081552
#s(approx (neg (+ f n)) (neg.f64 n))
accuracy30.968967330358627
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
Samples
43.0ms256×0valid
Compiler

Compiled 165 to 26 computations (84.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-div: 9.0ms (29.9% of total)
ival-add: 7.0ms (23.2% of total)
ival-mult: 4.0ms (13.3% of total)
ival-sub: 4.0ms (13.3% of total)
ival-pow: 4.0ms (13.3% of total)
ival-neg: 2.0ms (6.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.1%)

Memory
10.4MiB live, 10.4MiB allocated
Counts
14 → 126
Calls
Call 1
Inputs
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))
(/.f64 (+.f64 n f) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.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)
(- f n)
n
(+ f n)
(+ n (* -1 f))
(+ 1 (* f (- (* 3 (/ 1 n)) (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))))))
(+ 1 (* f (- (+ (* 3 (/ 1 n)) (* f (- (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2))))))) (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))))))
(+ 1 (* f (- (+ (* 3 (/ 1 n)) (* f (- (+ (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (* f (+ (* -1 (/ (* (+ (* -2 n) (* -1 n)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (+ (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2)))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))))) (pow n 3))) (* 2 (/ 1 (pow n 3))))))) (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2))))))) (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))))))
-1
(- (* f (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) 1)
(- (* f (- (+ (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* f (- (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2)))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3)))))) (* 3 (/ 1 n)))) 1)
(- (* f (- (+ (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* f (- (+ (* -1 (* f (+ (* -1 (/ (* (+ (* -2 n) (* -1 n)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (+ (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2)))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))))) (pow n 3))) (* 2 (/ 1 (pow n 3))))))) (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2))))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3)))))) (* 3 (/ 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 (* 4 (/ f n)))
(+ 1 (* f (+ (* 8 (/ f (pow n 2))) (* 4 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 12 (/ f (pow n 3))) (* 8 (/ 1 (pow n 2))))) (* 4 (/ 1 n)))))
(- (* -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 (* -1 (/ n f))))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(* f (+ 1 (/ n f)))
(* f (- (/ n f) 1))
(- (+ (* -2 (/ n f)) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ n f)) (/ n f))))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ n f)) (/ (* (+ (* -2 n) (* -1 n)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 2)))) (+ 1 (+ (* 2 (/ n f)) (/ n f))))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ n f)) (+ (* -1 (/ (* (pow (+ (* -2 n) (* -1 n)) 2) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 3))) (+ (* -1 (/ (pow n 3) (pow f 3))) (+ (/ (* (+ (* -2 n) (* -1 n)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 2)) (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 3))))))) (+ 1 (+ (* 2 (/ n f)) (+ (/ n f) (/ (pow n 3) (pow f 3))))))
(- (+ 1 (+ (* 2 (/ n f)) (/ n f))) (+ (* -2 (/ n f)) (* -1 (/ n f))))
(- (+ 1 (+ (* -1 (/ (* (+ (* -2 n) (* -1 n)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 2))) (+ (* 2 (/ n f)) (/ n f)))) (+ (* -2 (/ n f)) (* -1 (/ n f))))
(- (+ 1 (+ (* 2 (/ n f)) (+ (/ n f) (/ (pow n 3) (pow f 3))))) (+ (* -2 (/ n f)) (+ (* -1 (/ n f)) (+ (* -1 (/ (* (pow (+ (* -2 n) (* -1 n)) 2) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 3))) (+ (* -1 (/ (pow n 3) (pow f 3))) (+ (/ (* (+ (* -2 n) (* -1 n)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 2)) (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 3))))))))
(- (+ 1 (/ n f)) (* -1 (/ n f)))
(- (+ 1 (+ (/ n f) (/ (* n (- n (* -1 n))) (pow f 2)))) (* -1 (/ n f)))
(- (+ 1 (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3)))) (+ (* -1 (/ n f)) (* -1 (/ (* n (- n (* -1 n))) (pow f 2)))))
(- (+ 1 (* 2 (/ n f))) (* -2 (/ n f)))
(- (+ 1 (+ (* 2 (/ n f)) (* 2 (/ (* n (- (* 2 n) (* -2 n))) (pow f 2))))) (* -2 (/ n f)))
(- (+ 1 (+ (* -1 (/ (+ (* -4 (* (pow n 2) (- (* 2 n) (* -2 n)))) (* (pow n 2) (- (* 2 n) (* -2 n)))) (pow f 3))) (* 2 (/ n f)))) (+ (* -2 (/ n f)) (* -2 (/ (* n (- (* 2 n) (* -2 n))) (pow f 2)))))
(- (* -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 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(- (* -1 (/ (- (+ n (* 2 n)) (* -1 (+ n (* 2 n)))) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (* -2 (pow n 2)) (* -1 (pow n 2))) (+ (* -1 (+ (* 2 (pow n 2)) (pow n 2))) (* (+ n (* 2 n)) (- (+ n (* 2 n)) (* -1 (+ n (* 2 n))))))) f)) (* -1 (- (+ n (* 2 n)) (* -1 (+ n (* 2 n)))))) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (pow n 3) (+ (* -1 (pow n 3)) (+ (* (+ n (* 2 n)) (- (+ (* -2 (pow n 2)) (* -1 (pow n 2))) (+ (* -1 (+ (* 2 (pow n 2)) (pow n 2))) (* (+ n (* 2 n)) (- (+ n (* 2 n)) (* -1 (+ n (* 2 n)))))))) (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ n (* 2 n)) (* -1 (+ n (* 2 n)))))))) f)) (* -1 (- (+ (* -2 (pow n 2)) (* -1 (pow n 2))) (+ (* -1 (+ (* 2 (pow n 2)) (pow n 2))) (* (+ n (* 2 n)) (- (+ n (* 2 n)) (* -1 (+ n (* 2 n))))))))) f)) (* -1 (- (+ n (* 2 n)) (* -1 (+ n (* 2 n)))))) f)) 1)
(- (+ 1 (+ (* 2 (/ n f)) (/ n f))) (* -1 (/ (+ n (* 2 n)) f)))
(+ 1 (* -1 (/ (- (+ (* -2 (/ (pow n 2) f)) (+ (* -1 (- (+ n (* 2 n)) (* -1 (+ n (* 2 n))))) (* -1 (/ (pow n 2) f)))) (+ (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) f)) (/ (* (+ n (* 2 n)) (- (+ n (* 2 n)) (* -1 (+ n (* 2 n))))) f))) f)))
(+ 1 (* -1 (/ (+ (* -1 (- (+ n (* 2 n)) (* -1 (+ n (* 2 n))))) (* -1 (/ (- (+ (* -1 (- (+ (* -2 (pow n 2)) (* -1 (pow n 2))) (+ (* -1 (+ (* 2 (pow n 2)) (pow n 2))) (* (+ n (* 2 n)) (- (+ n (* 2 n)) (* -1 (+ n (* 2 n)))))))) (/ (pow n 3) f)) (+ (* -1 (/ (pow n 3) f)) (+ (/ (* (+ n (* 2 n)) (- (+ (* -2 (pow n 2)) (* -1 (pow n 2))) (+ (* -1 (+ (* 2 (pow n 2)) (pow n 2))) (* (+ n (* 2 n)) (- (+ n (* 2 n)) (* -1 (+ n (* 2 n)))))))) f) (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ n (* 2 n)) (* -1 (+ n (* 2 n))))) f)))) f))) f)))
(+ 1 (* -1 (/ (+ (* -1 (- n (* -1 n))) (* -1 (/ (* n (- n (* -1 n))) f))) f)))
(+ 1 (* -1 (/ (+ (* -1 (- n (* -1 n))) (* -1 (/ (+ (* n (- n (* -1 n))) (/ (* (pow n 2) (- n (* -1 n))) f)) f))) f)))
(+ 1 (* -1 (/ (- (* -2 n) (* 2 n)) f)))
(+ 1 (* -1 (/ (- (+ (* -2 n) (* 2 (/ (* n (- (* -2 n) (* 2 n))) f))) (* 2 n)) f)))
(+ 1 (* -1 (/ (- (+ (* -2 n) (* -1 (/ (- (+ (* -4 (/ (* (pow n 2) (- (* -2 n) (* 2 n))) f)) (/ (* (pow n 2) (- (* -2 n) (* 2 n))) f)) (* 2 (* n (- (* -2 n) (* 2 n))))) f))) (* 2 n)) f)))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* -1 n) f)
(+ f (* -1 n))
(- n f)
(- (* -6 (/ n f)) 1)
(- (* n (- (* 6 (/ (* n (+ (* -2 (pow f 2)) (* -1 (pow f 2)))) (pow f 4))) (* 6 (/ 1 f)))) 1)
(- (* n (- (* n (+ (* 6 (/ (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (pow f 4))) (* n (- (+ (* 6 (/ (+ f (* 2 f)) (pow f 4))) (/ (* (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (- (* 2 (/ 1 (pow f 2))) (+ (* 2 (/ 1 (pow f 2))) (* 6 (/ (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (pow f 4)))))) (pow f 3))) (* 2 (/ 1 (pow f 3))))))) (* 6 (/ 1 f)))) 1)
(+ 1 (* 6 (/ n f)))
(+ 1 (* n (+ (* n (- (* 2 (/ 1 (pow f 2))) (+ (* 2 (/ 1 (pow f 2))) (* 6 (/ (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (pow f 4)))))) (* 6 (/ 1 f)))))
(+ 1 (* n (+ (* n (- (* n (- (* 2 (/ 1 (pow f 3))) (+ (* 6 (/ (+ f (* 2 f)) (pow f 4))) (/ (* (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (- (* 2 (/ 1 (pow f 2))) (+ (* 2 (/ 1 (pow f 2))) (* 6 (/ (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (pow f 4)))))) (pow f 3))))) (* 6 (/ (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (pow f 4))))) (* 6 (/ 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 (* 4 (/ n f)))
(+ 1 (* n (+ (* 8 (/ n (pow f 2))) (* 4 (/ 1 f)))))
(+ 1 (* n (+ (* n (+ (* 12 (/ n (pow f 3))) (* 8 (/ 1 (pow f 2))))) (* 4 (/ 1 f)))))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
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(- (* -1 (/ (- f (* -1 f)) n)) 1)
(- (* -1 (/ (- (+ f (/ (* f (- f (* -1 f))) n)) (* -1 f)) n)) 1)
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Calls

6 calls:

TimeVariablePointExpression
1.0ms
n
@inf
((/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (- 0 (pow (/ (+ n f) (- f n)) 3)) (pow (/ (+ n f) (- f n)) 3) (/ (+ n f) (- f n)) (/ (+ f n) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))
1.0ms
n
@-inf
((/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (- 0 (pow (/ (+ n f) (- f n)) 3)) (pow (/ (+ n f) (- f n)) 3) (/ (+ n f) (- f n)) (/ (+ f n) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))
1.0ms
f
@-inf
((/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (- 0 (pow (/ (+ n f) (- f n)) 3)) (pow (/ (+ n f) (- f n)) 3) (/ (+ n f) (- f n)) (/ (+ f n) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))
1.0ms
f
@0
((/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (- 0 (pow (/ (+ n f) (- f n)) 3)) (pow (/ (+ n f) (- f n)) 3) (/ (+ n f) (- f n)) (/ (+ f n) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))
1.0ms
f
@inf
((/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n) (/ (+ n f) (- n f)) (+ n f) (- n f) (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n)))) (- 0 (pow (/ (+ n f) (- f n)) 3)) (pow (/ (+ n f) (- f n)) 3) (/ (+ n f) (- f n)) (/ (+ f n) (- f n)) (* (/ (+ f n) (- f n)) (/ (+ f n) (- f n))))

simplify161.0ms (2.8%)

Memory
2.5MiB live, 208.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07053380
124332896
089072694
Stop Event
1×iter limit
1×node limit
Counts
126 → 124
Calls
Call 1
Inputs
1
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(* -1 n)
(- (* -1 f) n)
(- f n)
n
(+ f n)
(+ n (* -1 f))
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-1
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f
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(- (+ 1 (+ (* 2 (/ f n)) (/ f n))) (* -1 (/ (+ f (* 2 f)) n)))
(- (+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* -1 (/ (* (+ f (* 2 f)) (- (* -1 (+ f (* 2 f))) (+ f (* 2 f)))) (pow n 2))) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (/ f n)))))) (+ (* -1 (/ (+ f (* 2 f)) n)) (* -1 (/ (+ (* 2 (pow f 2)) (pow f 2)) (pow n 2)))))
(- (+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* -1 (/ (* (+ f (* 2 f)) (- (* -1 (+ f (* 2 f))) (+ f (* 2 f)))) (pow n 2))) (+ (* -1 (/ (* (+ f (* 2 f)) (- (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (+ (* -2 (pow f 2)) (+ (* -1 (* (+ f (* 2 f)) (- (* -1 (+ f (* 2 f))) (+ f (* 2 f))))) (* -1 (pow f 2)))))) (pow n 3))) (+ (* -1 (/ (* (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (- (* -1 (+ f (* 2 f))) (+ f (* 2 f)))) (pow n 3))) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (+ (/ f n) (/ (pow f 3) (pow n 3)))))))))) (+ (* -1 (/ (+ f (* 2 f)) n)) (+ (* -1 (/ (+ (* 2 (pow f 2)) (pow f 2)) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
(- (* -1 (/ (+ f (* 2 f)) n)) (+ 1 (+ (* 2 (/ f n)) (/ f n))))
(- (+ (* -1 (/ (+ f (* 2 f)) n)) (* -1 (/ (+ (* 2 (pow f 2)) (pow f 2)) (pow n 2)))) (+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* -1 (/ (* (+ f (* 2 f)) (- (* -1 (+ f (* 2 f))) (+ f (* 2 f)))) (pow n 2))) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (/ f n)))))))
(- (+ (* -1 (/ (+ f (* 2 f)) n)) (+ (* -1 (/ (+ (* 2 (pow f 2)) (pow f 2)) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))) (+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* -1 (/ (* (+ f (* 2 f)) (- (* -1 (+ f (* 2 f))) (+ f (* 2 f)))) (pow n 2))) (+ (* -1 (/ (* (+ f (* 2 f)) (- (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (+ (* -2 (pow f 2)) (+ (* -1 (* (+ f (* 2 f)) (- (* -1 (+ f (* 2 f))) (+ f (* 2 f))))) (* -1 (pow f 2)))))) (pow n 3))) (+ (* -1 (/ (* (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (- (* -1 (+ f (* 2 f))) (+ f (* 2 f)))) (pow n 3))) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (+ (/ f n) (/ (pow f 3) (pow n 3)))))))))))
(- (* -1 (/ f n)) (+ 1 (/ f n)))
(- (+ (* -1 (/ f n)) (/ (* f (- (* -1 f) f)) (pow n 2))) (+ 1 (/ f n)))
(- (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (/ f n))))
(- (+ 1 (* 2 (/ f n))) (* -2 (/ f n)))
(- (+ 1 (+ (* 2 (/ f n)) (* 2 (/ (* f (- (* 2 f) (* -2 f))) (pow n 2))))) (* -2 (/ f n)))
(- (+ 1 (+ (* -1 (/ (+ (* -4 (* (pow f 2) (- (* 2 f) (* -2 f)))) (* (pow f 2) (- (* 2 f) (* -2 f)))) (pow n 3))) (* 2 (/ f n)))) (+ (* -2 (/ f n)) (* -2 (/ (* f (- (* 2 f) (* -2 f))) (pow n 2)))))
(+ 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 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (/ f n) 1)))
(+ 1 (* -1 (/ (- (* -1 (+ f (* 2 f))) (+ f (* 2 f))) n)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ f (* 2 f))) (* -1 (/ (- (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))))) (+ (* -2 (pow f 2)) (* -1 (pow f 2)))) n))) (+ f (* 2 f))) n)))
(+ 1 (* -1 (/ (- (+ (* -1 (+ f (* 2 f))) (* -1 (/ (- (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (+ (* -1 (/ (- (+ (* -1 (pow f 3)) (+ (* (+ f (* 2 f)) (- (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))))))) (* (+ (* 2 (pow f 2)) (pow f 2)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) (pow f 3)) n)) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) (+ (* -2 (pow f 2)) (* -1 (pow f 2)))) n))) (+ f (* 2 f))) n)))
(- (* -1 (/ (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))) n)) 1)
(- (* -1 (/ (- (+ f (+ (* -1 (/ (- (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) n)) (* 2 f))) (* -1 (+ f (* 2 f)))) n)) 1)
(- (* -1 (/ (- (+ f (+ (* -1 (/ (- (+ (* -2 (pow f 2)) (+ (* -1 (/ (- (pow f 3) (+ (* -1 (pow f 3)) (+ (* (+ f (* 2 f)) (- (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))))))) (* (+ (* 2 (pow f 2)) (pow f 2)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))))))) n)) (* -1 (pow f 2)))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) n)) (* 2 f))) (* -1 (+ f (* 2 f)))) n)) 1)
(- (* -1 (/ (- f (* -1 f)) n)) 1)
(- (* -1 (/ (- (+ f (/ (* f (- f (* -1 f))) n)) (* -1 f)) n)) 1)
(- (* -1 (/ (- (+ f (* -1 (/ (- (* -1 (/ (* (pow f 2) (- f (* -1 f))) n)) (* f (- f (* -1 f)))) n))) (* -1 f)) n)) 1)
(+ 1 (* -1 (/ (- (* -2 f) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (+ (* -2 f) (* 2 (/ (* f (- (* -2 f) (* 2 f))) n))) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (+ (* -2 f) (* -1 (/ (- (+ (* -4 (/ (* (pow f 2) (- (* -2 f) (* 2 f))) n)) (/ (* (pow f 2) (- (* -2 f) (* 2 f))) n)) (* 2 (* f (- (* -2 f) (* 2 f))))) n))) (* 2 f)) n)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (/.f64 (/.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 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- f n)
(-.f64 f n)
n
(+ f n)
(+.f64 f n)
(+ n (* -1 f))
(-.f64 n f)
(+ 1 (* f (- (* 3 (/ 1 n)) (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))))))
(fma.f64 (-.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64)))) f #s(literal 1 binary64))
(+ 1 (* f (- (+ (* 3 (/ 1 n)) (* f (- (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2))))))) (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))))))
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 n n)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) n)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) n) (/.f64 (*.f64 #s(literal 3 binary64) n) (pow.f64 n #s(literal 3 binary64)))))) f (-.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))))) f #s(literal 1 binary64))
(+ 1 (* f (- (+ (* 3 (/ 1 n)) (* f (- (+ (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (* f (+ (* -1 (/ (* (+ (* -2 n) (* -1 n)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (+ (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2)))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))))) (pow n 3))) (* 2 (/ 1 (pow n 3))))))) (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2))))))) (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))))))
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) n) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) n)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) n) (/.f64 (*.f64 #s(literal 3 binary64) n) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) n)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 3 binary64))))) f (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) (*.f64 n n)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) n)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) n) (/.f64 (*.f64 #s(literal 3 binary64) n) (pow.f64 n #s(literal 3 binary64))))))) f (-.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))))) f #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* f (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) 1)
(fma.f64 (-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) n)) f #s(literal -1 binary64))
(- (* f (- (+ (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* f (- (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2)))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3)))))) (* 3 (/ 1 n)))) 1)
(fma.f64 (fma.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) n) (/.f64 (*.f64 #s(literal 3 binary64) n) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) n)) (pow.f64 n #s(literal 3 binary64))))) f (-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) n))) f #s(literal -1 binary64))
(- (* f (- (+ (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* f (- (+ (* -1 (* f (+ (* -1 (/ (* (+ (* -2 n) (* -1 n)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))) (+ (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2)))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3))))) (pow n 3))) (* 2 (/ 1 (pow n 3))))))) (+ (* -1 (/ (+ n (* 2 n)) (pow n 3))) (* 3 (/ 1 (pow n 2))))) (* -1 (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (* -1 (/ (+ (* 2 (pow n 2)) (pow n 2)) (pow n 3))) (* 3 (/ 1 n)))) (pow n 3)))))) (* 3 (/ 1 n)))) 1)
(fma.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 3 binary64) n) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) n)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) n) (/.f64 (*.f64 #s(literal 3 binary64) n) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) n)) (pow.f64 n #s(literal 3 binary64))))) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 n #s(literal 3 binary64))))) (neg.f64 f) (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) n) (/.f64 (*.f64 #s(literal 3 binary64) n) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) n)) (pow.f64 n #s(literal 3 binary64)))))) f (-.f64 (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 3 binary64) n))) f #s(literal -1 binary64))
(- (* -2 (/ f n)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal -1 binary64))
(- (* f (- (* -2 (/ f (pow n 2))) (* 2 (/ 1 n)))) 1)
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) n) (/.f64 f n) (/.f64 #s(literal -2 binary64) n)) f #s(literal -1 binary64))
(- (* f (- (* f (- (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal -2 binary64) (*.f64 n n))) f (/.f64 #s(literal -2 binary64) n)) f #s(literal -1 binary64))
(+ 1 (* 4 (/ f n)))
(fma.f64 (/.f64 #s(literal 4 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 8 (/ f (pow n 2))) (* 4 (/ 1 n)))))
(fma.f64 (fma.f64 (/.f64 #s(literal 8 binary64) (*.f64 n n)) f (/.f64 #s(literal 4 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 12 (/ f (pow n 3))) (* 8 (/ 1 (pow n 2))))) (* 4 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 12 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 n n))) f (/.f64 #s(literal 4 binary64) n)) f #s(literal 1 binary64))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 n (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (*.f64 (/.f64 n f) #s(literal -2 binary64)) (/.f64 n f) (fma.f64 (*.f64 n n) (*.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64)) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(neg.f64 (fma.f64 (/.f64 n f) f f))
f
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 n (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 (*.f64 n n) (*.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64)) (fma.f64 n (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))))
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* f (- (/ n f) 1))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(- (+ (* -2 (/ n f)) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ n f)) (/ n f))))
(fma.f64 (/.f64 n f) #s(literal -3 binary64) (fma.f64 (/.f64 n f) #s(literal -3 binary64) #s(literal -1 binary64)))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ n f)) (/ (* (+ (* -2 n) (* -1 n)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 2)))) (+ 1 (+ (* 2 (/ n f)) (/ n f))))
(fma.f64 (/.f64 n f) #s(literal -3 binary64) (fma.f64 (/.f64 (fma.f64 n #s(literal 5 binary64) n) f) (*.f64 (/.f64 n f) #s(literal -3 binary64)) (fma.f64 (/.f64 n f) #s(literal -3 binary64) #s(literal -1 binary64))))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ n f)) (+ (* -1 (/ (* (pow (+ (* -2 n) (* -1 n)) 2) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 3))) (+ (* -1 (/ (pow n 3) (pow f 3))) (+ (/ (* (+ (* -2 n) (* -1 n)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 2)) (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 3))))))) (+ 1 (+ (* 2 (/ n f)) (+ (/ n f) (/ (pow n 3) (pow f 3))))))
(fma.f64 (/.f64 n f) #s(literal -3 binary64) (-.f64 (fma.f64 (neg.f64 (*.f64 (*.f64 n n) #s(literal 9 binary64))) (/.f64 (fma.f64 n #s(literal 5 binary64) n) (pow.f64 f #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (fma.f64 n #s(literal 5 binary64) n) f) (*.f64 (/.f64 n f) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 n n)) (/.f64 (fma.f64 n #s(literal 5 binary64) n) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (+.f64 (fma.f64 (/.f64 n f) #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))))
(- (+ 1 (+ (* 2 (/ n f)) (/ n f))) (+ (* -2 (/ n f)) (* -1 (/ n f))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n #s(literal 5 binary64) n) f))
(- (+ 1 (+ (* -1 (/ (* (+ (* -2 n) (* -1 n)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 2))) (+ (* 2 (/ n f)) (/ n f)))) (+ (* -2 (/ n f)) (* -1 (/ n f))))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 3 binary64) n) (/.f64 (/.f64 (fma.f64 n #s(literal 5 binary64) n) f) f) (/.f64 (fma.f64 n #s(literal 5 binary64) n) f)))
(- (+ 1 (+ (* 2 (/ n f)) (+ (/ n f) (/ (pow n 3) (pow f 3))))) (+ (* -2 (/ n f)) (+ (* -1 (/ n f)) (+ (* -1 (/ (* (pow (+ (* -2 n) (* -1 n)) 2) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 3))) (+ (* -1 (/ (pow n 3) (pow f 3))) (+ (/ (* (+ (* -2 n) (* -1 n)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 2)) (/ (* (+ (* 2 (pow n 2)) (pow n 2)) (- (+ n (* 2 n)) (+ (* -2 n) (* -1 n)))) (pow f 3))))))))
(-.f64 (+.f64 (fma.f64 (/.f64 n f) #s(literal 3 binary64) #s(literal 1 binary64)) (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 (/.f64 n f) #s(literal -3 binary64) (fma.f64 (neg.f64 (*.f64 (*.f64 n n) #s(literal 9 binary64))) (/.f64 (fma.f64 n #s(literal 5 binary64) n) (pow.f64 f #s(literal 3 binary64))) (-.f64 (fma.f64 (/.f64 (fma.f64 n #s(literal 5 binary64) n) f) (*.f64 (/.f64 n f) #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) (*.f64 n n)) (/.f64 (fma.f64 n #s(literal 5 binary64) n) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))))))
(- (+ 1 (/ n f)) (* -1 (/ n f)))
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal 1 binary64))
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(- (+ (* -1 (/ (+ f (* 2 f)) n)) (+ (* -1 (/ (+ (* 2 (pow f 2)) (pow f 2)) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))) (+ 1 (+ (* -2 (/ (pow f 2) (pow n 2))) (+ (* -1 (/ (* (+ f (* 2 f)) (- (* -1 (+ f (* 2 f))) (+ f (* 2 f)))) (pow n 2))) (+ (* -1 (/ (* (+ f (* 2 f)) (- (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (+ (* -2 (pow f 2)) (+ (* -1 (* (+ f (* 2 f)) (- (* -1 (+ f (* 2 f))) (+ f (* 2 f))))) (* -1 (pow f 2)))))) (pow n 3))) (+ (* -1 (/ (* (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (- (* -1 (+ f (* 2 f))) (+ f (* 2 f)))) (pow n 3))) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ f n)) (+ (/ f n) (/ (pow f 3) (pow n 3)))))))))))
(-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 3 binary64) (/.f64 f n) (fma.f64 (/.f64 #s(literal 3 binary64) n) (/.f64 (*.f64 f f) n) (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) #s(literal -1 binary64)) (fma.f64 (*.f64 (/.f64 f n) (/.f64 f n)) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) f) n) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) f) #s(literal -2 binary64)) n) (fma.f64 (*.f64 #s(literal -3 binary64) f) (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 f f) (*.f64 (*.f64 f f) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) f)) #s(literal 3 binary64)) f)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 f f) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) f) #s(literal -2 binary64)) (pow.f64 n #s(literal 3 binary64))) (-.f64 (fma.f64 #s(literal 3 binary64) (/.f64 f n) (/.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 f n) (/.f64 f n))))))))
(- (* -1 (/ f n)) (+ 1 (/ f n)))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal -1 binary64))
(- (+ (* -1 (/ f n)) (/ (* f (- (* -1 f) f)) (pow n 2))) (+ 1 (/ f n)))
(fma.f64 f (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 f n) n)) (fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal -1 binary64)))
(- (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (/ f n))))
(fma.f64 (*.f64 f f) (*.f64 #s(literal -2 binary64) (/.f64 f (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 f n) n)) (fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal -1 binary64))))
(- (+ 1 (* 2 (/ f n))) (* -2 (/ f n)))
(fma.f64 (/.f64 #s(literal 4 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ f n)) (* 2 (/ (* f (- (* 2 f) (* -2 f))) (pow n 2))))) (* -2 (/ f n)))
(+.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (/.f64 #s(literal 4 binary64) n) f) (/.f64 f n)) #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 4 binary64) n) f)))
(- (+ 1 (+ (* -1 (/ (+ (* -4 (* (pow f 2) (- (* 2 f) (* -2 f)))) (* (pow f 2) (- (* 2 f) (* -2 f)))) (pow n 3))) (* 2 (/ f n)))) (+ (* -2 (/ f n)) (* -2 (/ (* f (- (* 2 f) (* -2 f))) (pow n 2)))))
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3 binary64) (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal 4 binary64))) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 4 binary64) n) f)) (*.f64 (/.f64 #s(literal -2 binary64) n) (/.f64 (*.f64 (*.f64 f #s(literal 4 binary64)) f) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (*.f64 f (*.f64 #s(literal -2 binary64) (/.f64 f n)))) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) f) f (*.f64 f (*.f64 f (*.f64 (/.f64 f n) #s(literal 2 binary64))))) n)) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) f (*.f64 f (*.f64 #s(literal -2 binary64) (/.f64 f n)))) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) f) f (*.f64 f (*.f64 f (*.f64 (/.f64 f n) #s(literal 2 binary64))))) n)) n) #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(neg.f64 (fma.f64 (/.f64 f n) n n))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (neg.f64 n))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 (neg.f64 f) n) (neg.f64 n) n)
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(+ 1 (* -1 (/ (- (* -1 (+ f (* 2 f))) (+ f (* 2 f))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) f) #s(literal -2 binary64)) n))
(+ 1 (* -1 (/ (- (+ (* -1 (+ f (* 2 f))) (* -1 (/ (- (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))))) (+ (* -2 (pow f 2)) (* -1 (pow f 2)))) n))) (+ f (* 2 f))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) f)) #s(literal 3 binary64)) f (fma.f64 #s(literal -3 binary64) (*.f64 f f) (*.f64 (*.f64 f f) #s(literal 3 binary64)))) (neg.f64 n)) (*.f64 (*.f64 #s(literal 3 binary64) f) #s(literal -2 binary64))) n))
(+ 1 (* -1 (/ (- (+ (* -1 (+ f (* 2 f))) (* -1 (/ (- (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (+ (* -1 (/ (- (+ (* -1 (pow f 3)) (+ (* (+ f (* 2 f)) (- (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))))))) (* (+ (* 2 (pow f 2)) (pow f 2)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) (pow f 3)) n)) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) (+ (* -2 (pow f 2)) (* -1 (pow f 2)))) n))) (+ f (* 2 f))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 f f) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) f)) #s(literal 3 binary64)) f (/.f64 (-.f64 (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) f)) #s(literal 3 binary64)) (*.f64 f f) (*.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 f f) (*.f64 (*.f64 f f) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) f)) #s(literal 3 binary64)) f)) (*.f64 #s(literal 3 binary64) f))) (pow.f64 f #s(literal 3 binary64))) (pow.f64 f #s(literal 3 binary64))) (neg.f64 n)))) (*.f64 #s(literal -3 binary64) (*.f64 f f))) (neg.f64 n)) (*.f64 (*.f64 #s(literal 3 binary64) f) #s(literal -2 binary64))) n))
(- (* -1 (/ (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))) n)) 1)
(-.f64 (/.f64 (*.f64 (*.f64 #s(literal 3 binary64) f) #s(literal -2 binary64)) n) #s(literal 1 binary64))
(- (* -1 (/ (- (+ f (+ (* -1 (/ (- (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) n)) (* 2 f))) (* -1 (+ f (* 2 f)))) n)) 1)
(-.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) f (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 f f) (*.f64 (*.f64 f f) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) f)) #s(literal 3 binary64)) f)) (neg.f64 n))) (*.f64 #s(literal -3 binary64) f)) (neg.f64 n)) #s(literal 1 binary64))
(- (* -1 (/ (- (+ f (+ (* -1 (/ (- (+ (* -2 (pow f 2)) (+ (* -1 (/ (- (pow f 3) (+ (* -1 (pow f 3)) (+ (* (+ f (* 2 f)) (- (+ (* -2 (pow f 2)) (* -1 (pow f 2))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))))))) (* (+ (* 2 (pow f 2)) (pow f 2)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f)))))))) n)) (* -1 (pow f 2)))) (+ (* -1 (+ (* 2 (pow f 2)) (pow f 2))) (* (+ f (* 2 f)) (- (+ f (* 2 f)) (* -1 (+ f (* 2 f))))))) n)) (* 2 f))) (* -1 (+ f (* 2 f)))) n)) 1)
(fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal 3 binary64) f (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 f f) (/.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (-.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) f)) #s(literal 3 binary64)) (*.f64 f f) (*.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (*.f64 f f) (*.f64 (*.f64 f f) #s(literal 3 binary64))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) f)) #s(literal 3 binary64)) f)) (*.f64 #s(literal 3 binary64) f))) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 n))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 3 binary64) f)) #s(literal 3 binary64)) f (*.f64 #s(literal -3 binary64) (*.f64 f f)))) (neg.f64 n))) (*.f64 #s(literal -3 binary64) f)) n) #s(literal -1 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- f (* -1 f)) n)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal -1 binary64))
(- (* -1 (/ (- (+ f (/ (* f (- f (* -1 f))) n)) (* -1 f)) n)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) f (*.f64 f (*.f64 #s(literal -2 binary64) (/.f64 f n)))) n) #s(literal 1 binary64))
(- (* -1 (/ (- (+ f (* -1 (/ (- (* -1 (/ (* (pow f 2) (- f (* -1 f))) n)) (* f (- f (* -1 f)))) n))) (* -1 f)) n)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) f (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) f) f (*.f64 f (*.f64 f (*.f64 #s(literal -2 binary64) (/.f64 f n))))) n)) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -2 f) (* 2 f)) n)))
(fma.f64 (/.f64 #s(literal 4 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -2 f) (* 2 (/ (* f (- (* -2 f) (* 2 f))) n))) (* 2 f)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 f (*.f64 (/.f64 f n) #s(literal -4 binary64))) #s(literal 2 binary64) (*.f64 f #s(literal -4 binary64))) n))
(+ 1 (* -1 (/ (- (+ (* -2 f) (* -1 (/ (- (+ (* -4 (/ (* (pow f 2) (- (* -2 f) (* 2 f))) n)) (/ (* (pow f 2) (- (* -2 f) (* 2 f))) n)) (* 2 (* f (- (* -2 f) (* 2 f))))) n))) (* 2 f)) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (/.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) #s(literal -4 binary64)) n) (*.f64 (*.f64 (*.f64 f #s(literal -4 binary64)) f) #s(literal -2 binary64))) (neg.f64 n)) (*.f64 f #s(literal -4 binary64))) n))

rewrite224.0ms (3.8%)

Memory
-6.9MiB live, 184.1MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032153
045122
122696
2213396
0865196
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
14 → 1 135
Calls
Call 1
Inputs
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
(-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64)))
(pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))
(/.f64 (+.f64 n f) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)))
Outputs
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n))
(*.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(*.f64 (*.f64 #s(approx (neg (+ f n)) (neg.f64 n)) #s(literal 1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (neg.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n))))))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (neg (+ f n)) (neg.f64 n)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(approx (neg (+ f n)) (neg.f64 n)))
(*.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal -1 binary64)))
(*.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(pow.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 #s(approx (neg (+ f n)) (neg.f64 n)) #s(literal 1 binary64))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 f n)))))
(/.f64 (*.f64 #s(approx (neg (+ f n)) (neg.f64 n)) #s(literal 1 binary64)) (-.f64 f n))
(/.f64 (neg.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n)))) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n)))))
(/.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))) (neg.f64 (-.f64 f n)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (*.f64 #s(approx (neg (+ f n)) (neg.f64 n)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n))))
(neg.f64 (/.f64 (neg.f64 #s(approx (neg (+ f n)) (neg.f64 n))) (-.f64 f n)))
(neg.f64 (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (neg.f64 (-.f64 f n))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 f n))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (neg.f64 (-.f64 f n))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 f n) #s(approx (neg (+ f n)) (neg.f64 n)))) #s(literal -1 binary64)))
#s(approx (neg (+ f n)) (neg.f64 n))
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) n)))
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))))
(*.f64 #s(literal -1 binary64) n)
(*.f64 n #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 n) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 n n) (*.f64 #s(literal 0 binary64) (neg.f64 n)))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 n n))) (neg.f64 (+.f64 #s(literal 0 binary64) n)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 n n)) (+.f64 #s(literal 0 binary64) n))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) (*.f64 n n))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n))) (-.f64 #s(literal 0 binary64) (pow.f64 n #s(literal 3 binary64)))))
(neg.f64 n)
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) n)) (/.f64 (*.f64 n n) (+.f64 #s(literal 0 binary64) n)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 n n (*.f64 #s(literal 0 binary64) n)))))
(-.f64 #s(literal 0 binary64) n)
(+.f64 #s(literal 0 binary64) (neg.f64 n))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (-.f64 f n))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 f (-.f64 f n) (*.f64 n n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(*.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 n) f)))
(*.f64 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
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(pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 n) f) (/.f64 (+.f64 f n) (-.f64 f n)))) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (neg.f64 n) f))) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 n) f) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 (-.f64 f n)) (/.f64 (-.f64 f n) (+.f64 f n)))))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 n) f))) (neg.f64 (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (neg.f64 (-.f64 f n)))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))))) (neg.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)) (-.f64 f n)))) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (-.f64 f n) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)) #s(literal 0 binary64))) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (neg.f64 n) f) (+.f64 f n))) (neg.f64 (*.f64 (neg.f64 (-.f64 f n)) (-.f64 f n))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 (neg.f64 n) f))) (neg.f64 (*.f64 (-.f64 f n) (neg.f64 (-.f64 f n)))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))))
(/.f64 (*.f64 (-.f64 (neg.f64 n) f) (/.f64 (+.f64 f n) (-.f64 f n))) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (neg.f64 n) f)) (neg.f64 (-.f64 f n)))
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)))))
(/.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)) (-.f64 f n))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64))) (neg.f64 (pow.f64 (-.f64 f n) #s(literal 2 binary64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)))) (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)))))
(/.f64 (/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n)) (neg.f64 (/.f64 (-.f64 f n) (+.f64 f n))))
(/.f64 (*.f64 (-.f64 (neg.f64 n) f) (+.f64 f n)) (*.f64 (neg.f64 (-.f64 f n)) (-.f64 f n)))
(/.f64 (*.f64 (-.f64 (neg.f64 n) f) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 f n)) (/.f64 (-.f64 f n) (+.f64 f n))))
(/.f64 (*.f64 (+.f64 f n) (-.f64 (neg.f64 n) f)) (*.f64 (-.f64 f n) (neg.f64 (-.f64 f n))))
(/.f64 (*.f64 (+.f64 f n) #s(literal 1 binary64)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 n) f)) (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (neg.f64 (-.f64 f n))))
(/.f64 (/.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)) (-.f64 f n)) (-.f64 f n))
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64))) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))
(/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64))))
(/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)))
(/.f64 (-.f64 (neg.f64 n) f) (neg.f64 (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (-.f64 f n))))
(/.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)) (pow.f64 (-.f64 f n) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n)))
(/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64)) (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (+.f64 f n) (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (-.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 f n)) (*.f64 (-.f64 (neg.f64 n) f) (/.f64 (+.f64 f n) (-.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (neg.f64 n) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)) (-.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)) #s(literal 0 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (-.f64 f n)) (-.f64 f n)) (*.f64 (-.f64 (neg.f64 n) f) (+.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 (-.f64 f n)) (/.f64 (-.f64 f n) (+.f64 f n))) (*.f64 (-.f64 (neg.f64 n) f) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 f n) (neg.f64 (-.f64 f n))) (*.f64 (+.f64 f n) (-.f64 (neg.f64 n) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))) (*.f64 (+.f64 f n) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (neg.f64 (-.f64 f n))) (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 n) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (-.f64 f n)) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64)))
(/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)) #s(literal 1 binary64))
(/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (-.f64 f n) (+.f64 f n)))
(fma.f64 (pow.f64 (-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))) (/.f64 (-.f64 f n) (+.f64 f n))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 8 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64)) (/.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)) (-.f64 f n))) #s(literal 2 binary64)) (pow.f64 (-.f64 f n) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64)) (pow.f64 (+.f64 f n) #s(literal -2 binary64))) #s(literal 2 binary64)) (pow.f64 (-.f64 f n) #s(literal 4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n (+.f64 f n))) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 (neg.f64 n) f) (/.f64 (+.f64 f n) (-.f64 f n))) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (neg.f64 n) f)) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)) #s(literal 0 binary64)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 f n))) (/.f64 (+.f64 f n) (neg.f64 (-.f64 f n))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)))) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)) (-.f64 f n))) (pow.f64 (neg.f64 (-.f64 f n)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 f n) #s(literal 2 binary64)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n)) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 (neg.f64 n) f) (+.f64 f n)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 f n)) (-.f64 f n))) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 (neg.f64 n) f) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (-.f64 f n)) (/.f64 (-.f64 f n) (+.f64 f n)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 f n) (-.f64 (neg.f64 n) f)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (neg.f64 (-.f64 f n)))) #s(literal 0 binary64))
(fma.f64 (*.f64 (+.f64 f n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 n) f)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (neg.f64 (-.f64 f n)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (-.f64 f n) #s(literal -2 binary64)) (pow.f64 (+.f64 f n) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)) (-.f64 f n)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64))) (pow.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))) (pow.f64 (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)) (pow.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -6 binary64)) (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal -4 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 f n)) #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (+.f64 f n) #s(literal 2 binary64)) (pow.f64 (-.f64 f n) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64)) (pow.f64 (pow.f64 (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -3 binary64)) (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal 0 binary64))
(fma.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (-.f64 f n))) #s(literal 0 binary64))
(fma.f64 (+.f64 f n) (/.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)) #s(literal 0 binary64))
(fma.f64 (+.f64 f n) (*.f64 (+.f64 f n) (pow.f64 (-.f64 f n) #s(literal -2 binary64))) #s(literal 0 binary64))
(fma.f64 (+.f64 f n) (*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (/.f64 (+.f64 f n) (-.f64 f n))) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 f n))) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)) #s(literal 0 binary64))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 f n))) (/.f64 (-.f64 f n) (+.f64 f n))) (/.f64 (/.f64 (+.f64 f n) (neg.f64 (-.f64 f n))) (/.f64 (-.f64 f n) (+.f64 f n))))
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))
(-.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -4 binary64))))
(-.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))
(exp.f64 (log.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64))))
(+.f64 (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (-.f64 f n) (+.f64 f n)) #s(literal -2 binary64)))

eval229.0ms (3.9%)

Memory
31.7MiB live, 223.3MiB allocated
Compiler

Compiled 42 709 to 4 378 computations (89.7% saved)

prune160.0ms (2.7%)

Memory
-21.7MiB live, 59.1MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1 25811 259
Fresh000
Picked044
Done044
Total1 25891 267
Accuracy
100.0%
Counts
1 267 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
✓100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
✓47.9%
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
▶89.7%
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
✓52.5%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓49.5%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓51.6%
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
✓52.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
✓48.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 151 to 84 computations (44.4% saved)

simplify602.0ms (10.3%)

Memory
15.0MiB live, 89.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 f n)
cost-diff0
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
cost-diff0
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
cost-diff3
(fma.f64 (/.f64 f n) n n)
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0838
01338
12338
23535
34929
46029
518029
653129
7224529
8382729
9517729
10598329
11655329
12719229
13799529
0801829
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
(fma.f64 (/.f64 f n) n n)
(/.f64 f n)
f
n
(-.f64 n f)
Outputs
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
(/.f64 #s(approx (+ n f) (+.f64 f n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
#s(approx (+ n f) (+.f64 f n))
(fma.f64 (/.f64 f n) n n)
(+.f64 f n)
(/.f64 f n)
f
n
(-.f64 n f)

localize317.0ms (5.4%)

Memory
-6.9MiB live, 54.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(-.f64 n f)
accuracy0.0
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
accuracy0.01953125
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
accuracy6.361415948707477
(fma.f64 (/.f64 f n) n n)
Samples
311.0ms256×0valid
Compiler

Compiled 27 to 10 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-div: 3.0ms (32.2% of total)
ival-add: 3.0ms (32.2% of total)
ival-mult: 2.0ms (21.4% of total)
ival-sub: 1.0ms (10.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.5%)

Memory
-33.6MiB live, 4.3MiB allocated
Counts
5 → 34
Calls
Call 1
Inputs
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
(/.f64 f n)
(-.f64 n f)
Outputs
n
(+ f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(/ f n)
(+ n (* -1 f))
f
(* f (+ 1 (/ n f)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(* -1 f)
(* f (- (/ n f) 1))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- n f)
(* n (+ 1 (/ f n)))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(* n (+ 1 (* -1 (/ f n))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(* -1 (* n (- (/ f n) 1)))
Calls

6 calls:

TimeVariablePointExpression
26.0ms
f
@inf
((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (- n f))
1.0ms
f
@-inf
((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (- n f))
1.0ms
n
@-inf
((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (- n f))
0.0ms
n
@inf
((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (- n f))
0.0ms
f
@0
((+ (* (/ f n) n) n) (/ (+ n f) (- n f)) (+ n f) (/ f n) (- n f))

simplify215.0ms (3.7%)

Memory
21.4MiB live, 135.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0140364
1432345
21268301
35390283
08402249
Stop Event
1×iter limit
1×node limit
Counts
34 → 32
Calls
Call 1
Inputs
n
(+ f n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(/ f n)
(+ n (* -1 f))
f
(* f (+ 1 (/ n f)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(* -1 f)
(* f (- (/ n f) 1))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- n f)
(* n (+ 1 (/ f n)))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(* n (+ 1 (* -1 (/ f n))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(* -1 (* n (- (/ f n) 1)))
Outputs
n
(+ f n)
(+.f64 n f)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 (/.f64 f n) f f) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 (/.f64 f n) f f) #s(literal 1 binary64)))
(/ f n)
(/.f64 f n)
(+ n (* -1 f))
(-.f64 n f)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 (/.f64 n f) n n) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 (/.f64 n f) n n) #s(literal -1 binary64)))
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 (/.f64 n f) n n) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 n f) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 (/.f64 n f) n n) #s(literal -1 binary64)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 (/.f64 n f) n 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 (/.f64 #s(literal -2 binary64) f) f)) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- n f)
(-.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 (/.f64 f n) f f) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 (/.f64 f n) f f) #s(literal 1 binary64)))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 (/.f64 f n) f f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) f) (fma.f64 (/.f64 f n) f f)) n)) n) #s(literal 1 binary64))
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)

rewrite123.0ms (2.1%)

Memory
22.5MiB live, 177.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0836
01336
16336
246527
3681827
0821627
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
5 → 413
Calls
Call 1
Inputs
(fma.f64 (/.f64 f n) n n)
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
#s(approx (+ n f) (fma.f64 (/.f64 f n) n n))
(/.f64 f n)
(-.f64 n f)
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) f (*.f64 n n))))
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (fma.f64 (neg.f64 n) n (*.f64 f f))) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 f n) f) #s(literal 2 binary64)))) (-.f64 (*.f64 n n) (*.f64 (-.f64 f n) f)))
(*.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 f n) f) #s(literal 3 binary64)) (pow.f64 n #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 f n) f) (-.f64 (*.f64 (-.f64 f n) f) (*.f64 n n)) (pow.f64 n #s(literal 4 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 n f) n) #s(literal 2 binary64)))) (-.f64 (*.f64 f f) (*.f64 (-.f64 n f) n)))
(*.f64 (/.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 n f) n) #s(literal 3 binary64)) (pow.f64 f #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 n f) n) (-.f64 (*.f64 (-.f64 n f) n) (*.f64 f f)) (pow.f64 f #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (fma.f64 (neg.f64 f) f (*.f64 n n))) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 n f) f (*.f64 n n))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (fma.f64 (+.f64 n f) f (*.f64 n n)))
(*.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (/.f64 (-.f64 n f) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (+.f64 n f) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (-.f64 n f) (pow.f64 (fma.f64 (+.f64 n f) f (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) #s(literal 1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n)))
(*.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (fma.f64 (neg.f64 n) n (*.f64 f f)))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (neg.f64 f) f (*.f64 n n)))
(*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)))))
(*.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(*.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 n f))
(*.f64 (fma.f64 (+.f64 n f) f (*.f64 n n)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)))
(*.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (*.f64 (+.f64 n f) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (/.f64 (+.f64 n f) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (-.f64 f n)))
(*.f64 (+.f64 n f) (*.f64 (-.f64 f n) (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(*.f64 (+.f64 n f) (*.f64 (-.f64 n f) (pow.f64 (-.f64 n f) #s(literal -1 binary64))))
(*.f64 (+.f64 n f) #s(literal 1 binary64))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(pow.f64 (pow.f64 (+.f64 n f) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (+.f64 n f) #s(literal 1 binary64))
(/.f64 (/.f64 (fma.f64 (neg.f64 f) f (*.f64 n n)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (fma.f64 (-.f64 f n) f (*.f64 n n)))
(/.f64 (/.f64 (fma.f64 (neg.f64 n) n (*.f64 f f)) #s(literal -1 binary64)) (-.f64 n f))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 4 binary64))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (fma.f64 n n (*.f64 f f)))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) (pow.f64 (-.f64 n f) #s(literal -1 binary64))) (fma.f64 (*.f64 f f) (fma.f64 n n (*.f64 f f)) (pow.f64 n #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 f #s(literal 9 binary64)) (pow.f64 n #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 n #s(literal 6 binary64)) (pow.f64 f #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 f #s(literal 9 binary64)) (pow.f64 n #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (*.f64 n f) #s(literal 3 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64)) n) (-.f64 (/.f64 f n) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal -3 binary64)) #s(literal 1 binary64)) n) (-.f64 (+.f64 (pow.f64 (/.f64 n f) #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 f n)))
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 n #s(literal 4 binary64))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (fma.f64 n n (*.f64 f f)))
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (-.f64 f n) #s(literal -1 binary64))) (fma.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)) (pow.f64 f #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 f #s(literal 6 binary64)) (pow.f64 n #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))
(/.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (-.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 n f) f) #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 n f) n) (*.f64 f f)))
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(fma.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (-.f64 f n) f) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n n)))
(fma.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n n) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (-.f64 f n) f)))
(fma.f64 (/.f64 (neg.f64 f) n) n n)
(fma.f64 (pow.f64 n #s(literal 3/2 binary64)) (/.f64 (pow.f64 n #s(literal 3/2 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n))) (neg.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n)))))
(fma.f64 (*.f64 (neg.f64 n) f) (pow.f64 n #s(literal -1 binary64)) n)
(fma.f64 #s(literal -1 binary64) (neg.f64 n) (*.f64 #s(literal 1 binary64) (neg.f64 f)))
(fma.f64 #s(literal -1 binary64) (neg.f64 n) (neg.f64 f))
(fma.f64 #s(literal -1 binary64) f n)
(fma.f64 #s(literal 1 binary64) (neg.f64 f) n)
(fma.f64 #s(literal 1 binary64) n (*.f64 #s(literal 1 binary64) (neg.f64 f)))
(fma.f64 #s(literal 1 binary64) n (neg.f64 f))
(fma.f64 (*.f64 (-.f64 f n) f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))))
(fma.f64 (*.f64 n f) (/.f64 #s(literal -1 binary64) n) n)
(fma.f64 (*.f64 n n) (/.f64 n (fma.f64 (+.f64 n f) f (*.f64 n n))) (neg.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n)))))
(fma.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (*.f64 (-.f64 f n) f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))))
(fma.f64 (*.f64 n n) (pow.f64 (+.f64 n f) #s(literal -1 binary64)) (neg.f64 (*.f64 f (/.f64 f (+.f64 n f)))))
(fma.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 n f) f (*.f64 n n)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n)))))
(fma.f64 (neg.f64 n) (/.f64 f n) n)
(fma.f64 (neg.f64 f) #s(literal 1 binary64) n)
(fma.f64 (/.f64 f n) (neg.f64 n) n)
(fma.f64 n (/.f64 (*.f64 n n) (fma.f64 (+.f64 n f) f (*.f64 n n))) (neg.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n)))))
(fma.f64 n (/.f64 n (+.f64 n f)) (neg.f64 (*.f64 f (/.f64 f (+.f64 n f)))))
(fma.f64 n (/.f64 (neg.f64 f) n) n)
(fma.f64 n #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 f)))
(fma.f64 n #s(literal 1 binary64) (neg.f64 f))
(fma.f64 f #s(literal -1 binary64) n)
(-.f64 (+.f64 n #s(literal 0 binary64)) f)
(-.f64 (/.f64 (*.f64 n (/.f64 n (+.f64 n f))) #s(literal 1 binary64)) (/.f64 (*.f64 f (/.f64 f (+.f64 n f))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)))
(-.f64 (*.f64 n (/.f64 n (+.f64 n f))) (*.f64 f (/.f64 f (+.f64 n f))))
(-.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n))))
(-.f64 #s(literal 0 binary64) (-.f64 f n))
(-.f64 n (/.f64 f #s(literal 1 binary64)))
(-.f64 n f)
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 (-.f64 f n) f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (*.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 n n) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 f n) f) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64))))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (-.f64 f n) f)) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n n)))
(+.f64 (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 n n)) (*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) f (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (-.f64 f n) f)))
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 f)) n)
(+.f64 (*.f64 n (/.f64 n (+.f64 n f))) (neg.f64 (*.f64 f (/.f64 f (+.f64 n f)))))
(+.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n))) (neg.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 (+.f64 n f) f (*.f64 n n)))))
(+.f64 (neg.f64 f) n)
(+.f64 n (*.f64 #s(literal 1 binary64) (neg.f64 f)))
(+.f64 n (neg.f64 f))

eval47.0ms (0.8%)

Memory
-16.9MiB live, 96.6MiB allocated
Compiler

Compiled 12 037 to 1 407 computations (88.3% saved)

prune11.0ms (0.2%)

Memory
-12.9MiB live, 31.6MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New4270427
Fresh000
Picked011
Done088
Total4279436
Accuracy
100.0%
Counts
436 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
✓100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
✓47.9%
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
✓89.7%
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
✓52.5%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓49.5%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓51.6%
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
✓52.8%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
✓48.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 358 to 142 computations (60.3% saved)

regimes11.0ms (0.2%)

Memory
23.2MiB live, 23.2MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- 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) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))))
Outputs
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
Calls

3 calls:

4.0ms
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)

regimes10.0ms (0.2%)

Memory
-18.9MiB live, 19.7MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- 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) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 #s(approx (+ n f) (fma.f64 (/.f64 f n) n n)) (-.f64 n f))
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
Calls

3 calls:

4.0ms
f
3.0ms
n
2.0ms
(/.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)

regimes7.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB 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))
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- 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) n) f #s(literal 1 binary64)))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Calls

3 calls:

2.0ms
f
2.0ms
n
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
79.2%3f
81.5%3n
98.9%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes2.0ms (0%)

Memory
4.5MiB live, 4.5MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.5%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.5%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
3.5MiB live, 3.5MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (- 0 (pow (/ (+ n f) (- f n)) 3)) (+ 0 (+ (* (/ (+ n f) (- f n)) (/ (+ n f) (- f n))) (* 0 (/ (+ n f) (- f n)))))) #s(literal 1 binary64))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.5%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes4.0ms (0.1%)

Memory
-29.5MiB live, 9.3MiB 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:

2.0ms
f
1.0ms
n
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
48.5%1f
48.5%1n
48.5%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
-0.9945492356577682
0.9999999949070756
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9945492356577682
0.9999999949070756
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9945492356577682
0.9999999949070756
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch14.0ms (0.2%)

Memory
23.3MiB live, 23.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
13.0ms
-0.9945492356577682
0.9999999949070756
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)

simplify55.0ms (1%)

Memory
-27.0MiB live, 52.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043176
166176
2101176
3157171
4269171
5478171
6953171
72151171
82856171
92893171
102907171
112917171
122927171
132932171
142934171
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Outputs
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (neg.f64 (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -202402253307311/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

soundness692.0ms (11.9%)

Memory
51.1MiB live, 508.4MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0145384
1448349
21348314
35264304
08383278
031216
050159
1238135
22399135
08574135
0618
01018
14618
232717
0554717
Stop Event
1×done
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 388 to 117 computations (69.8% saved)

preprocess53.0ms (0.9%)

Memory
0.0MiB live, 73.9MiB allocated
Compiler

Compiled 368 to 96 computations (73.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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