subtraction fraction

Time bar (total: 4.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.3%)

Memory
15.9MiB live, 15.9MiB 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)

sample631.0ms (13.6%)

Memory
40.5MiB live, 756.2MiB allocated
Samples
387.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 209.0ms
ival-sub: 57.0ms (27.3% of total)
ival-div: 56.0ms (26.8% of total)
ival-add: 50.0ms (23.9% of total)
ival-neg: 37.0ms (17.7% of total)
ival-true: 6.0ms (2.9% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

explain82.0ms (1.8%)

Memory
15.8MiB live, 143.2MiB 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
25.0ms512×0valid
Compiler

Compiled 92 to 34 computations (63% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 3.0ms (24.8% of total)
ival-div: 3.0ms (24.8% of total)
ival-add: 3.0ms (24.8% of total)
ival-neg: 2.0ms (16.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess68.0ms (1.5%)

Memory
-24.1MiB live, 53.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01846
16135
217135
341435
4117235
5144635
6150335
7157135
8162835
068
0108
1218
2418
3787
41637
53077
66107
77227
87547
97707
107717
07717
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

simplify21.0ms (0.5%)

Memory
14.8MiB live, 14.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 3 (0.0ms)

IterNodesCost
0620
01020
12120
24120
37819
416319
530719
661019
772219
875419
977019
1077119
077119
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
(-.f64 f n)
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
(neg.f64 (+.f64 f n))
(neg.f64 (+.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
(-.f64 f n)

localize179.0ms (3.9%)

Memory
-18.1MiB live, 22.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 f n)
accuracy0
(+.f64 f n)
accuracy0
(neg.f64 (+.f64 f n))
accuracy0.03515625
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
171.0ms256×0valid
Compiler

Compiled 42 to 14 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 165.0ms
ival-sub: 160.0ms (97.1% of total)
ival-div: 2.0ms (1.2% of total)
ival-add: 2.0ms (1.2% of total)
ival-neg: 1.0ms (0.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

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

6 calls:

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

simplify153.0ms (3.3%)

Memory
35.3MiB live, 147.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145384
1448349
21333314
35177304
08642278
Stop Event
1×iter limit
1×node limit
Counts
40 → 38
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
n
(+ f n)
(- f n)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (* -1 (/ n f))))
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (/ n f) 1)))
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- (* -1 n) f)
(+ f (* -1 n))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (+ 1 (/ f n)))
(* n (- (/ f n) 1))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
n
(+ f n)
(+.f64 n f)
(- f n)
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 (/.f64 n f) n n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(+ f (* -1 n))
(-.f64 f n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (- (/ f n) 1))
(-.f64 f n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(fma.f64 (fma.f64 (-.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) n) f) (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)

rewrite216.0ms (4.7%)

Memory
-51.6MiB live, 207.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

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

eval105.0ms (2.3%)

Memory
6.2MiB live, 125.4MiB allocated
Compiler

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

prune13.0ms (0.3%)

Memory
-0.4MiB live, 38.1MiB 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
▶99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
54.1%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶46.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶99.9%
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
54.6%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
▶47.4%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
52.9%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶45.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 182 to 132 computations (27.5% saved)

simplify47.0ms (1%)

Memory
2.0MiB live, 38.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
023109
036104
158104
2100101
3168101
4280101
5478101
61018101
71257101
81405101
91471101
101512101
111521101
01521101
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal -1 binary64)
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 f (-.f64 f n))
Outputs
(/.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)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
n
#s(literal -1 binary64)
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 n (-.f64 n f))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 f (-.f64 f n))

localize75.0ms (1.6%)

Memory
23.9MiB live, 60.6MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(neg.f64 n)
accuracy0.0234375
(/.f64 (neg.f64 n) (-.f64 f n))
accuracy0.03125
(/.f64 f (-.f64 f n))
accuracy0.0546875
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
accuracy0
(/.f64 #s(literal -2 binary64) f)
accuracy0.125
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
accuracy33.66188257898747
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
accuracy0
(-.f64 f n)
accuracy0
(neg.f64 f)
accuracy0.03515625
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy34.19567496860679
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy34.85300488634512
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0
(-.f64 n f)
accuracy0
(+.f64 n f)
accuracy0.03515625
(/.f64 (+.f64 n f) (-.f64 n f))
Samples
62.0ms256×0valid
Compiler

Compiled 206 to 44 computations (78.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 31.0ms (63.6% of total)
ival-div: 8.0ms (16.4% of total)
ival-add: 4.0ms (8.2% of total)
ival-sub: 3.0ms (6.2% of total)
ival-neg: 3.0ms (6.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.6%)

Memory
-23.2MiB live, 23.2MiB allocated
Counts
15 → 101
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(/.f64 f (-.f64 f n))
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ f n)
(+ n (* -1 f))
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
f
(* f (+ 1 (/ n f)))
(* f (- (/ n f) 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)
(* f (- (* -1 (/ n f)) 1))
(* f (+ 1 (* -1 (/ n f))))
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(- (* -1 (/ (+ (* -1 (- (* -1 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 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- n f)
(- (* -1 n) f)
(+ f (* -1 n))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(* n (+ 1 (/ f n)))
(* n (+ 1 (* -1 (/ f n))))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (/ f n) 1)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
Calls

6 calls:

TimeVariablePointExpression
19.0ms
n
@0
((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (/ f (- f n)))
2.0ms
f
@inf
((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (/ f (- f n)))
2.0ms
n
@inf
((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (/ f (- f n)))
2.0ms
f
@0
((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (/ f (- f n)))
2.0ms
f
@-inf
((/ (+ n f) (- n f)) (+ n f) (- n f) (/ (neg (+ f n)) (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg f) (- f n) (/ (neg (+ f n)) (- f n)) (+ (* (/ -2 f) n) -1) (/ -2 f) (- (/ (neg n) (- f n)) (/ f (- f n))) (/ (neg n) (- f n)) (neg n) (/ f (- f n)))

simplify186.0ms (4%)

Memory
2.9MiB live, 167.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04311448
113611307
240831146
081891033
Stop Event
1×iter limit
1×node limit
Counts
101 → 99
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ f n)
(+ n (* -1 f))
(* -1 n)
(- (* -1 f) n)
(* -1 f)
(- f n)
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ -2 f)
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
f
(* f (+ 1 (/ n f)))
(* f (- (/ n f) 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)
(* f (- (* -1 (/ n f)) 1))
(* f (+ 1 (* -1 (/ n f))))
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(- (* -1 (/ (+ (* -1 (- (* -1 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 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(- n f)
(- (* -1 n) f)
(+ f (* -1 n))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(* n (+ 1 (/ f n)))
(* n (+ 1 (* -1 (/ f n))))
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (/ f n) 1)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
n
(+ f n)
(+.f64 f n)
(+ n (* -1 f))
(-.f64 n f)
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(* -1 f)
(neg.f64 f)
(- f n)
(-.f64 f n)
(* -2 (/ n f))
(*.f64 (/.f64 n f) #s(literal -2 binary64))
(/ (+ (* -2 n) (* -1 f)) f)
(/.f64 (fma.f64 #s(literal -2 binary64) n (neg.f64 f)) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(+ 1 (/ f n))
(+.f64 (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* -1 (/ f n))
(/.f64 (neg.f64 f) n)
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) n)) f (/.f64 #s(literal -1 binary64) n)) f)
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))) f (/.f64 (/.f64 #s(literal -1 binary64) n) n)) f (/.f64 #s(literal -1 binary64) n)) f)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal -1 binary64))
f
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* f (- (/ n f) 1))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal -1 binary64))
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal -1 binary64))
(* -1 (/ n f))
(/.f64 (neg.f64 n) f)
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/.f64 (neg.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(/.f64 (neg.f64 (+.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64))))) f)
(+ 1 (/ n f))
(+.f64 (/.f64 n f) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(+.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #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 n (/.f64 n f) n) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 (/.f64 n f) f f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (* f (- (/ n f) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(/.f64 (neg.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (+.f64 (/.f64 (fma.f64 n n (/.f64 (+.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (pow.f64 n #s(literal 3 binary64))) f)) f) n) (neg.f64 f))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(+.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal 1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal -1 binary64))
(- n f)
(-.f64 n f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(+ f (* -1 n))
(-.f64 f n)
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal -1 binary64) f)) n)
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 3 binary64))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) n (/.f64 #s(literal -1 binary64) (*.f64 f f))) n (/.f64 #s(literal -1 binary64) f)) n)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(+.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal 1 binary64))
(- (+ 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 f (/.f64 f n) f) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* n (+ 1 (/ f n)))
(fma.f64 (/.f64 f n) n n)
(* n (+ 1 (* -1 (/ f n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) (neg.f64 n))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (neg.f64 (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f)) n)
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 f n) n n)
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) (neg.f64 n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) (pow.f64 f #s(literal 3 binary64))) n)) n) f) (neg.f64 n))

rewrite216.0ms (4.7%)

Memory
17.1MiB live, 335.0MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02395
03690
115787
2139687
0863187
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 1 659
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(/.f64 f (-.f64 f n))
Outputs
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.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 (neg.f64 (+.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (+.f64 f n) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (+.f64 f n) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (+.f64 f n) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.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 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) #s(literal -1 binary64)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.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 f n) f (*.f64 n n)) #s(literal -1 binary64)) (-.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 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (fma.f64 (-.f64 f n) f (*.f64 n n)) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (+.f64 f n) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (-.f64 n f)))
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(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (pow.f64 (/.f64 n (-.f64 f n)) #s(literal 2 binary64)) (*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (-.f64 f n))))
(+.f64 (pow.f64 (/.f64 n (-.f64 f n)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (/.f64 f (-.f64 f n)) #s(literal 2 binary64))))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 n (-.f64 f n)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 n (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 n (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 n (-.f64 n f)))
(*.f64 (/.f64 n (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 n (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 n (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 n (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 n) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 (neg.f64 n) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.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 (neg.f64 n) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 n (-.f64 n f)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (neg.f64 n) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 (neg.f64 n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 n (-.f64 f n)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (neg.f64 n) (pow.f64 (+.f64 f n) #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)))) (/.f64 (neg.f64 n) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 n) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (/.f64 n (-.f64 n f)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 n (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 n (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 n (-.f64 f n)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 n (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 n (pow.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) #s(literal -1 binary64))))
(*.f64 (/.f64 n #s(literal -1 binary64)) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1 binary64)) (/.f64 n (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 n (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 n (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 n (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 n) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 (neg.f64 n) (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n))
(*.f64 (/.f64 (neg.f64 n) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) #s(literal -1 binary64))))
(*.f64 (/.f64 (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 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (neg.f64 n))
(*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)))
(*.f64 (neg.f64 n) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 n (-.f64 f n)))
(*.f64 n (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 n f) n) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal 1 binary64))) (-.f64 n f))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) n)) (*.f64 (-.f64 f n) #s(literal 1 binary64))) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) n)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 n f)) (*.f64 (neg.f64 n) (-.f64 f n))) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 f n)) (*.f64 (-.f64 f n) n)) (pow.f64 (-.f64 f n) #s(literal 2 binary64)))
(/.f64 (*.f64 (neg.f64 n) #s(literal 1 binary64)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 n f) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 n f) n) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 n f) n)))
(/.f64 n (-.f64 n f))
(neg.f64 (/.f64 n (-.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 n f)) (/.f64 n (-.f64 f n)))
(-.f64 #s(literal 0 binary64) (/.f64 n (-.f64 f n)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) n)) #s(literal -1 binary64)))
(*.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))))
(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 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (/.f64 f (-.f64 f n)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 f (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 f (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 f (pow.f64 (+.f64 f n) #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)))) (/.f64 f (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 f (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 f n)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 f n) f (*.f64 n n))))
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 f (-.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64))))
(*.f64 (/.f64 f (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 n f) (-.f64 n f)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 f (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 n f)))) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.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 f (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))))) (pow.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal -1 binary64)))
(*.f64 (/.f64 f (*.f64 (/.f64 (+.f64 f n) (+.f64 f n)) (/.f64 (-.f64 f n) (-.f64 f n)))) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(*.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 #s(literal -1 binary64) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 f #s(literal -1 binary64)) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 f n) #s(literal -1 binary64))))
(*.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 f n))) (+.f64 f n))
(*.f64 (/.f64 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 f f (*.f64 n (+.f64 f n))) #s(literal -1 binary64))))
(*.f64 (/.f64 f (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (pow.f64 (pow.f64 f #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) f)
(*.f64 #s(literal 1 binary64) (/.f64 f (-.f64 f n)))
(*.f64 (neg.f64 f) (pow.f64 (-.f64 n f) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 f (-.f64 n f)))
(*.f64 f (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 f n) f) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 f #s(literal 1 binary64))) (-.f64 n f))
(/.f64 (neg.f64 (neg.f64 (neg.f64 f))) (-.f64 n f))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (neg.f64 (neg.f64 f)))) (pow.f64 (-.f64 f n) #s(literal 2 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (-.f64 f n) f))) (*.f64 (-.f64 n f) #s(literal 1 binary64))) (*.f64 (-.f64 n f) (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 f n)) (*.f64 (-.f64 n f) (neg.f64 f))) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 n f) #s(literal -1 binary64))) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) f)) (pow.f64 (-.f64 f n) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 f))) (-.f64 n f))
(/.f64 (neg.f64 (neg.f64 f)) (-.f64 f n))
(/.f64 (*.f64 f #s(literal 1 binary64)) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 f n) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) f))
(/.f64 (neg.f64 f) (-.f64 n f))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) f)))
(/.f64 f (-.f64 f n))
(neg.f64 (/.f64 f (-.f64 n f)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 f n) f)) #s(literal -1 binary64)))

eval216.0ms (4.7%)

Memory
-11.0MiB live, 211.8MiB allocated
Compiler

Compiled 32 386 to 3 360 computations (89.6% saved)

prune45.0ms (1%)

Memory
35.0MiB live, 72.9MiB allocated
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1 21231 215
Fresh213
Picked145
Done000
Total1 21581 223
Accuracy
100.0%
Counts
1 223 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
▶54.1%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓46.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶99.9%
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
▶54.6%
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
▶52.9%
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓47.4%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
✓45.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 88 to 64 computations (27.3% saved)

simplify80.0ms (1.7%)

Memory
-39.1MiB live, 93.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

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

Useful iterations: 4 (0.0ms)

IterNodesCost
02191
03191
14991
27991
312091
421187
537187
680887
7120687
8148687
9154487
10159187
11161287
0161287
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ n f) (- n f)) (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 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f
(/.f64 f (-.f64 f n))
(-.f64 f n)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
Outputs
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ (+ n f) (- n f)) (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 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f
(/.f64 f (-.f64 f n))
(-.f64 f n)
(/.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

localize72.0ms (1.6%)

Memory
14.7MiB live, 96.7MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 f n)
accuracy0
(neg.f64 n)
accuracy0.03515625
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy29.473970266984963
#s(approx (neg (+ f n)) (neg.f64 n))
accuracy0
(-.f64 f n)
accuracy0.0234375
(/.f64 n (-.f64 n f))
accuracy0.03125
(/.f64 f (-.f64 f n))
accuracy0.0546875
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
accuracy0
(/.f64 #s(literal 2 binary64) n)
accuracy0.12034123016428752
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
accuracy29.03011074597014
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
accuracy30.145350597974115
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
Samples
60.0ms256×0valid
Compiler

Compiled 170 to 41 computations (75.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 47.0ms
ival-div: 33.0ms (70.6% of total)
ival-sub: 6.0ms (12.8% of total)
ival-add: 4.0ms (8.6% of total)
ival-mult: 2.0ms (4.3% of total)
ival-neg: 2.0ms (4.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
-13.7MiB live, 22.4MiB allocated
Counts
12 → 97
Calls
Call 1
Inputs
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 n (-.f64 n f))
(-.f64 n f)
(/.f64 f (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
Outputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
n
(+ n (* -1 f))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(* -1 n)
(- (* -1 f) n)
(- f n)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2))))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3)))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 f)
(* f (- (/ n f) 1))
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(- (* -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)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(/ (+ n (* 2 f)) n)
(/ 2 n)
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(- n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(- (* -1 n) f)
(+ f (* -1 n))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(* n (+ 1 (* -1 (/ f n))))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(+ 1 (* -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 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Calls

6 calls:

TimeVariablePointExpression
4.0ms
n
@0
((/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n))
2.0ms
f
@inf
((/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n))
1.0ms
n
@inf
((/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n))
1.0ms
n
@-inf
((/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n))
1.0ms
f
@0
((/ (+ n f) (- n f)) (/ (+ n f) (- n f)) (+ (* (/ 2 n) f) 1) (/ 2 n) (- (/ n (- n f)) (/ f (- f n))) (/ n (- n f)) (- n f) (/ f (- f n)) (/ (neg (+ f n)) (- f n)) (neg (+ f n)) (neg n) (- f n))

simplify229.0ms (4.9%)

Memory
19.5MiB live, 212.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04291426
113621325
240861169
082651060
Stop Event
1×iter limit
1×node limit
Counts
97 → 95
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
n
(+ n (* -1 f))
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(* -1 n)
(- (* -1 f) n)
(- f n)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2))))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3)))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 f)
(* f (- (/ n f) 1))
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(- (* -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)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (- (/ n f) 1)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(/ (+ n (* 2 f)) n)
(/ 2 n)
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(- n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(- (* -1 n) f)
(+ f (* -1 n))
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(* n (+ 1 (* -1 (/ f n))))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(* n (- (* -1 (/ f n)) 1))
(* n (- (/ f n) 1))
(+ 1 (* -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 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (/ f n))
(+.f64 (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
n
(+ n (* -1 f))
(-.f64 n f)
(* -1 (/ f n))
(/.f64 (neg.f64 f) n)
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) (neg.f64 n))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))) f (/.f64 #s(literal -1 binary64) (*.f64 n n))) f (/.f64 #s(literal -1 binary64) n)) f)
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- f n)
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 (*.f64 (/.f64 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(* 2 (/ f n))
(*.f64 (/.f64 #s(literal 2 binary64) n) f)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))) (+ 1 (/ (pow n 2) (pow f 2))))
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3))))) (+ 1 (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3)))))
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 n f)) (-.f64 (neg.f64 (pow.f64 (/.f64 n f) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 n f) f) (fma.f64 n (/.f64 n f) n) #s(literal 1 binary64))))
(* -1 (/ n f))
(/.f64 (neg.f64 n) f)
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(*.f64 (/.f64 n f) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/.f64 (neg.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n))) f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(+ 1 (/ n f))
(+.f64 (/.f64 n f) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
(+.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal 1 binary64))
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #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 #s(literal -2 binary64) (/.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 (/.f64 n f) f) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
f
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(*.f64 (/.f64 n f) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(/.f64 (neg.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (+.f64 (/.f64 (fma.f64 n n (/.f64 (+.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) (pow.f64 n #s(literal 3 binary64))) f)) f) n) (neg.f64 f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 (-.f64 (/.f64 n f) #s(literal 1 binary64)) f)
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
(+.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal 1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 (/.f64 (fma.f64 #s(literal -2 binary64) n (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (fma.f64 n (/.f64 n f) n)) f)) f) #s(literal 1 binary64))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (* f (- (/ n f) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 n f) (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 n (pow.f64 f #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(/ (+ n (* 2 f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(*.f64 (/.f64 n f) (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(/.f64 (neg.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 3 binary64))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) n (/.f64 (/.f64 #s(literal -1 binary64) f) f)) n (/.f64 #s(literal -1 binary64) f)) n)
(- n f)
(-.f64 n f)
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(+.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal 1 binary64))
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(+ f (* -1 n))
(-.f64 f n)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(- (+ 1 (/ (pow f 2) (pow n 2))) (+ (* -2 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3)))) (+ (* -2 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3))))))
(fma.f64 (/.f64 (/.f64 f n) n) (fma.f64 f (/.f64 f n) f) (+.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal -2 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 f n) #s(literal 3 binary64))))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* n (+ 1 (* -1 (/ f n))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) (neg.f64 n))
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/.f64 (-.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) (neg.f64 (pow.f64 n #s(literal 3 binary64)))) (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f)) n)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* n (- (* -1 (/ f n)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* n (- (/ f n) 1))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n) #s(literal 1 binary64))
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(*.f64 (/.f64 f n) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) (neg.f64 n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 (/.f64 (fma.f64 f f (/.f64 (+.f64 (/.f64 (pow.f64 f #s(literal 4 binary64)) n) (pow.f64 f #s(literal 3 binary64))) n)) n) f) (neg.f64 n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(fma.f64 (fma.f64 (*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 2 binary64) n) n)) f (/.f64 #s(literal 2 binary64) n)) f #s(literal 1 binary64))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)

rewrite153.0ms (3.3%)

Memory
-0.1MiB live, 192.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02179
03179
113979
2122179
0867079
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 371
Calls
Call 1
Inputs
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(/.f64 #s(literal 2 binary64) n)
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(/.f64 n (-.f64 n f))
(-.f64 n f)
(/.f64 f (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
Outputs
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) (pow.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (/.f64 f n) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (/.f64 f n) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) f) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) n) f)))
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(*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (pow.f64 (+.f64 f n) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1 binary64)) (/.f64 (-.f64 f n) (pow.f64 (-.f64 n f) #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) (/.f64 (-.f64 f n) (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) #s(literal -1 binary64)))
(pow.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (+.f64 f #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 (+.f64 f #s(literal 0 binary64)) (+.f64 f #s(literal 0 binary64)) (fma.f64 n n (*.f64 (+.f64 f #s(literal 0 binary64)) n))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (fma.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 f f) (+.f64 f n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 n n) (+.f64 f n)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 f f) (+.f64 f n)) (fma.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n)) (*.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n))))))
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 n #s(literal 3 binary64)) (pow.f64 f #s(literal 3 binary64))) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 (neg.f64 n) f))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n)))) (neg.f64 (-.f64 (neg.f64 n) f)))
(/.f64 (-.f64 (*.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (pow.f64 n #s(literal 3 binary64)))) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (-.f64 (*.f64 (*.f64 f f) (+.f64 f n)) (*.f64 (+.f64 f n) (*.f64 n n))) (pow.f64 (+.f64 f n) #s(literal 2 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 f f (-.f64 (*.f64 n n) (*.f64 f (neg.f64 n))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (neg.f64 (-.f64 f (neg.f64 n))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (-.f64 (neg.f64 n) f))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f (neg.f64 n)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 f n))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 f f (-.f64 (*.f64 n n) (*.f64 f (neg.f64 n)))))
(/.f64 (-.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 (neg.f64 (-.f64 f n)) #s(literal -1 binary64))
(/.f64 (-.f64 f n) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f (neg.f64 n)) (*.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f f (-.f64 (*.f64 n n) (*.f64 f (neg.f64 n)))) (-.f64 (pow.f64 f #s(literal 3 binary64)) (pow.f64 n #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 f n) #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) n f)
(fma.f64 n #s(literal -1 binary64) f)
(-.f64 (/.f64 (+.f64 f #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 n #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (+.f64 f n)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 n n) (+.f64 f n)) #s(literal 1 binary64)))
(-.f64 (/.f64 f #s(literal 1 binary64)) (/.f64 n #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 f f) (-.f64 f (neg.f64 n))) (/.f64 (*.f64 n n) (-.f64 f (neg.f64 n))))
(-.f64 (+.f64 f #s(literal 0 binary64)) n)
(-.f64 (/.f64 (pow.f64 f #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (pow.f64 n #s(literal 3 binary64)) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(-.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n)))
(-.f64 f n)
(+.f64 (neg.f64 n) f)
(+.f64 f (neg.f64 n))

eval101.0ms (2.2%)

Memory
-10.8MiB live, 162.9MiB allocated
Compiler

Compiled 12 245 to 1 557 computations (87.3% saved)

prune12.0ms (0.3%)

Memory
-8.3MiB live, 37.0MiB allocated
Pruning

8 alts after pruning (0 fresh and 8 done)

PrunedKeptTotal
New4800480
Fresh000
Picked044
Done044
Total4808488
Accuracy
100.0%
Counts
488 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
✓54.1%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
✓46.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓99.9%
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
✓54.6%
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
✓52.9%
#s(approx (/ (+ n f) (- n f)) #s(literal 1 binary64))
✓47.4%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
✓45.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 221 to 105 computations (52.5% saved)

regimes13.0ms (0.3%)

Memory
-11.3MiB live, 27.8MiB 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 (/ (+ n f) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
Calls

3 calls:

5.0ms
f
4.0ms
n
3.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
99.9%1f
99.9%1n
99.9%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes9.0ms (0.2%)

Memory
16.0MiB live, 16.0MiB allocated
Counts
8 → 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 (/ (+ n f) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
#s(approx (/ (+ n f) (- n f)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
Calls

3 calls:

3.0ms
f
3.0ms
n
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
76.8%3f
76.6%3n
98.8%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

regimes2.0ms (0.1%)

Memory
3.6MiB live, 3.6MiB 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 (/ (+ n f) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.8%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
4.1MiB live, 4.1MiB 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 (/ (+ n f) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.0%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

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

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
96.9%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes2.0ms (0%)

Memory
3.7MiB live, 3.7MiB 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 (/ (+ n f) (- n f)) #s(literal 1 binary64))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
96.9%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 8 to 6 computations (25% saved)

regimes18.0ms (0.4%)

Memory
-31.4MiB live, 7.7MiB 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:

15.0ms
n
1.0ms
f
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
45.5%1n
45.5%1f
45.5%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 10 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.3177384543105408
0.982594708249591
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999886315157664
0.3177384543105408
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999886315157664
0.3177384543105408
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999886315157664
0.3177384543105408
Compiler

Compiled 11 to 11 computations (0% saved)

bsearch13.0ms (0.3%)

Memory
17.3MiB live, 17.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
12.0ms
-0.9999886315157664
0.3177384543105408
Samples
4.0ms240×0valid
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)

simplify37.0ms (0.8%)

Memory
4.9MiB live, 44.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042191
157191
271191
382186
496186
5124186
6143186
7178186
8219186
9226186
10232186
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal 1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -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 n f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal 1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal 1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -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)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #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))

soundness1.5s (32.3%)

Memory
-6.7MiB live, 301.9MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

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

Compiled 247 to 98 computations (60.3% saved)

preprocess78.0ms (1.7%)

Memory
11.5MiB live, 59.3MiB allocated
Compiler

Compiled 388 to 90 computations (76.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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