subtraction fraction

Time bar (total: 9.4s)

analyze14.0ms (0.2%)

Memory
-13.7MiB live, 22.0MiB 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)

sample593.0ms (6.3%)

Memory
57.3MiB live, 725.6MiB allocated
Samples
352.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 199.0ms
ival-div: 57.0ms (28.7% of total)
ival-add: 52.0ms (26.2% of total)
ival-sub: 40.0ms (20.1% of total)
ival-neg: 40.0ms (20.1% of total)
ival-true: 6.0ms (3% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

preprocess76.0ms (0.8%)

Memory
-28.8MiB live, 71.5MiB allocated
Algorithm
1×egg-herbie
Rules
424×times-frac
310×div-sub
304×lower-fma.f64
304×lower-fma.f32
214×div-sub
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 f n) (-.f64 n f))

explain72.0ms (0.8%)

Memory
13.2MiB live, 89.9MiB 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
40.0ms512×0valid
Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-div: 19.0ms (69.6% of total)
ival-sub: 3.0ms (11% of total)
ival-add: 3.0ms (11% of total)
ival-neg: 2.0ms (7.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify42.0ms (0.5%)

Memory
-7.3MiB live, 31.8MiB 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))
Rules
304×lower-fma.f64
304×lower-fma.f32
214×div-sub
176×lower-*.f64
176×lower-*.f32
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 f n) (-.f64 n f))
(neg.f64 (+.f64 f n))
(-.f64 (neg.f64 n) f)
(+.f64 f n)
f
n
(-.f64 f n)

localize22.0ms (0.2%)

Memory
-1.1MiB live, 35.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 f n)
✓accuracy100.0%
(+.f64 f n)
✓accuracy100.0%
(neg.f64 (+.f64 f n))
✓accuracy100.0%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
12.0ms256×0valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.1% of total)
ival-sub: 1.0ms (17.5% of total)
ival-add: 1.0ms (17.5% of total)
ival-neg: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

Memory
9.0MiB live, 9.0MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))>
#<alt (neg.f64 (+.f64 f n))>
#<alt (+.f64 f n)>
#<alt (-.f64 f n)>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt (* -1 n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
Calls

24 calls:

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

rewrite198.0ms (2.1%)

Memory
9.8MiB live, 287.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 824×lower-*.f64
2 824×lower-*.f32
2 620×lower-/.f32
2 618×lower-/.f64
1 912×lower-fma.f64
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 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64)) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n))))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f n)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(+.f64 (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(+.f64 (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(+.f64 (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (*.f64 (fma.f64 f f (*.f64 n n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(+.f64 (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (neg.f64 f) (-.f64 f n)) (/.f64 n (-.f64 f n)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)))
(fma.f64 (fma.f64 f f (*.f64 n n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n))))
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f)))
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (neg.f64 (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (*.f64 (-.f64 f n) (-.f64 f n))))
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (*.f64 (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (-.f64 n f)))
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (*.f64 (-.f64 n f) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (*.f64 (+.f64 f n) (+.f64 f n)))) (*.f64 (-.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 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal -1 binary64) (+.f64 f n)))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (+.f64 f n))) (*.f64 (+.f64 f n) (-.f64 f n)))
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(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) #s(literal 1 binary64)) (*.f64 (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n n) (fma.f64 f f (*.f64 n n)))) (+.f64 f n)))
(/.f64 (*.f64 (*.f64 (fma.f64 f f (*.f64 n n)) (*.f64 (+.f64 f n) (-.f64 f n))) #s(literal 1 binary64)) (*.f64 (fma.f64 f f (*.f64 n n)) (+.f64 f n)))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.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 f n)))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (neg.f64 f) n)))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f)))))) (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (-.f64 (*.f64 n (-.f64 n f)) (*.f64 f f))))))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 (neg.f64 f) n))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f f (*.f64 n (-.f64 n f)))) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (neg.f64 (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 (neg.f64 (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (neg.f64 (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal -1 binary64)) (-.f64 (neg.f64 f) n))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (+.f64 f n))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (*.f64 n (*.f64 n n)) (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 (-.f64 (*.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n))))) (*.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n)))))) (fma.f64 f (/.f64 (*.f64 f f) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 f f) (+.f64 f n))) (*.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n)))) (fma.f64 f (/.f64 f (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n))))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (fma.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f)))))) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (-.f64 (*.f64 n (-.f64 n f)) (*.f64 f f)))))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n))))) (fma.f64 f (*.f64 (*.f64 f f) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))))
(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n))))) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n n) (fma.f64 f f (*.f64 n n)))))
(/.f64 (*.f64 (*.f64 (fma.f64 f f (*.f64 n n)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (fma.f64 f f (*.f64 n n)))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1 binary64)) (+.f64 f n))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal -1 binary64))
(*.f64 (+.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))
(*.f64 (-.f64 f n) #s(literal 1 binary64))
(*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))))
(*.f64 (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (/.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (*.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n))))))
(*.f64 #s(literal 1 binary64) (-.f64 f n))
(*.f64 #s(literal -1 binary64) (-.f64 n f))
(*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 f n)))
(*.f64 (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (/.f64 (+.f64 f n) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f))))))
(*.f64 (/.f64 (+.f64 f n) #s(literal 1 binary64)) (/.f64 (-.f64 f n) (+.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) #s(literal -1 binary64)) (/.f64 (-.f64 n f) (+.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (/.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n))) (-.f64 n f))
(*.f64 (/.f64 (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) (fma.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 f n) (*.f64 (+.f64 f n) (+.f64 f n))) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f))))) (fma.f64 (*.f64 n (+.f64 f n)) (-.f64 (*.f64 n (+.f64 f n)) (*.f64 f f)) (*.f64 f (*.f64 f (*.f64 f f)))))
(*.f64 (/.f64 (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 (*.f64 f f) (*.f64 n (+.f64 f n))))) (-.f64 (*.f64 f f) (*.f64 n (+.f64 f n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (neg.f64 (*.f64 (+.f64 f n) (*.f64 (+.f64 f n) (+.f64 f n))))) (*.f64 (+.f64 f n) (+.f64 f n)))

simplify540.0ms (5.8%)

Memory
-1.0MiB live, 473.9MiB allocated
Algorithm
1×egg-herbie
Rules
14 778×lower-fma.f64
14 778×lower-fma.f32
3 728×lower-*.f64
3 728×lower-*.f32
1 970×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145539
1448504
21334469
35180459
08647432
Stop Event
1×iter limit
1×node limit
Counts
96 → 87
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -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
(- (* -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
(- (* -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
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) 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 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 (/.f64 n (neg.f64 f)) (fma.f64 n (/.f64 n (*.f64 f f)) #s(literal 1 binary64))) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 n (/.f64 #s(literal -2 binary64) 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 n (/.f64 #s(literal -2 binary64) 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 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 (*.f64 n (+.f64 n n)) f) n)) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 (/.f64 n (neg.f64 f)) (fma.f64 n (/.f64 n (*.f64 f f)) #s(literal 1 binary64))) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #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)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(- (* -1 f) n)
(-.f64 (neg.f64 n) f)
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 n) f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 n) f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 n) f)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 n) f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 n) f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 n) f)
(* -1 f)
(neg.f64 f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(- (* -1 n) f)
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 n) f)
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
f
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
f
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
n
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
f
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(* -1 n)
(neg.f64 n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)

eval78.0ms (0.8%)

Memory
5.9MiB live, 192.3MiB allocated
Compiler

Compiled 15 932 to 1 649 computations (89.6% saved)

prune97.0ms (1%)

Memory
-15.6MiB live, 238.3MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6509659
Fresh000
Picked101
Done000
Total6519660
Accuracy
100.0%
Counts
660 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶47.3%
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
54.0%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
100.0%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
▶100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
48.0%
(/.f64 (neg.f64 n) (-.f64 f n))
▶53.8%
(/.f64 (neg.f64 f) (-.f64 f n))
▶48.1%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
46.8%
#s(literal 1 binary64)
▶52.9%
#s(literal -1 binary64)
Compiler

Compiled 178 to 102 computations (42.7% saved)

simplify548.0ms (5.8%)

Memory
10.2MiB live, 324.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓cost-diff0
(+.f64 f f)
✓cost-diff0
(/.f64 (+.f64 f f) n)
✓cost-diff0
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
✓cost-diff0
(+.f64 f f)
✓cost-diff0
(/.f64 (+.f64 f f) n)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓cost-diff0
(-.f64 f n)
✓cost-diff0
(neg.f64 f)
✓cost-diff128
(/.f64 (neg.f64 f) (-.f64 f n))
✓cost-diff0
(-.f64 n f)
✓cost-diff0
(+.f64 f n)
✓cost-diff0
(/.f64 (+.f64 f n) (-.f64 n f))
Rules
7 144×lower-fma.f32
7 142×lower-fma.f64
1 848×lower-*.f64
1 848×lower-*.f32
1 656×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01678
02978
15378
210177
321177
442977
5123077
6315477
7511977
8616477
9630077
10634477
11634877
12635777
13638377
14644877
15644877
16682277
17701877
18706877
19706877
20706877
21706877
0706875
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
f
n
(-.f64 n f)
#s(literal -1 binary64)
(/.f64 (neg.f64 f) (-.f64 f n))
(neg.f64 f)
f
(-.f64 f n)
n
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
#s(literal 1 binary64)
(/.f64 (+.f64 f f) n)
(+.f64 f f)
f
n
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(/.f64 (+.f64 f f) n)
(+.f64 f f)
f
n
(+.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal 1 binary64)
(/.f64 f n)
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
f
n
(-.f64 n f)
#s(literal -1 binary64)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 f (-.f64 n f))
(neg.f64 f)
f
(-.f64 f n)
n
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 f f) n)
(+.f64 f f)
f
n
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(/.f64 (+.f64 f f) n)
(+.f64 f f)
f
n
(+.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal 1 binary64)
(/.f64 f n)

localize76.0ms (0.8%)

Memory
10.6MiB live, 88.2MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 f n)
✓accuracy100.0%
(+.f64 f f)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓accuracy99.8%
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 f f) n)
✓accuracy100.0%
(+.f64 f f)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓accuracy100.0%
(-.f64 f n)
✓accuracy100.0%
(neg.f64 f)
✓accuracy100.0%
(/.f64 (neg.f64 f) (-.f64 f n))
✓accuracy100.0%
(-.f64 n f)
✓accuracy100.0%
(+.f64 f n)
✓accuracy100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
Samples
53.0ms256×0valid
Compiler

Compiled 81 to 19 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 7.0ms (37.8% of total)
ival-add: 6.0ms (32.4% of total)
ival-sub: 2.0ms (10.8% of total)
ival-mult: 1.0ms (5.4% of total)
ival-neg: 1.0ms (5.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
19.4MiB live, 19.4MiB allocated
Counts
12 → 264
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 f n) (-.f64 n f))>
#<alt (+.f64 f n)>
#<alt (-.f64 n f)>
#<alt (/.f64 (neg.f64 f) (-.f64 f n))>
#<alt (neg.f64 f)>
#<alt (-.f64 f n)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))>
#<alt (/.f64 (+.f64 f f) n)>
#<alt (+.f64 f f)>
#<alt (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 f n))>
#<alt (/.f64 f n)>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 n) (/ f (pow n 2))))>
#<alt (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))>
#<alt (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)>
#<alt (/ f n)>
#<alt (/ (+ f (/ (pow f 2) n)) n)>
#<alt (/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)>
#<alt (/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)>
#<alt (/ f n)>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* 2 (/ f n))>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (* 2 (/ (pow f 2) (pow n 2)))>
#<alt (* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))>
#<alt (* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))>
#<alt (* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))>
#<alt (* 2 (/ (pow f 2) (pow n 2)))>
#<alt (* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))>
#<alt (* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))>
#<alt (* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))>
#<alt (* 2 (/ (pow f 2) (pow n 2)))>
#<alt (/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))>
#<alt (/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))>
#<alt (/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))>
#<alt (+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (/ f n)>
#<alt (/ (+ f n) n)>
#<alt (/ (+ f n) n)>
#<alt (/ (+ f n) n)>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
Calls

66 calls:

TimeVariablePointExpression
1.0ms
n
@inf
(+ 1 (/ (+ f f) n))
1.0ms
n
@inf
(/ (+ f n) (- n f))
1.0ms
f
@0
(/ (neg f) (- f n))
0.0ms
f
@-inf
(+ (* (/ (+ f f) n) (+ 1 (/ f n))) 1)
0.0ms
f
@inf
(+ 1 (/ (+ f f) n))

rewrite371.0ms (4%)

Memory
-2.8MiB live, 510.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 162×lower-/.f32
5 154×lower-/.f64
4 862×lower-*.f64
4 862×lower-*.f32
3 072×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01559
02859
113959
2132059
0851858
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 544
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
(-.f64 n f)
(/.f64 (neg.f64 f) (-.f64 f n))
(neg.f64 f)
(-.f64 f n)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(/.f64 (+.f64 f f) n)
(+.f64 f f)
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 f n)
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 n f)))
(-.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 f n))))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(neg.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n)))))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (neg.f64 (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
(/.f64 (neg.f64 (neg.f64 (+.f64 f n))) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (+.f64 f n) #s(literal 1 binary64)) (-.f64 n f))
(/.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (-.f64 f n))
(/.f64 (neg.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 f n) (-.f64 n f))))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 f n)))) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) #s(literal 1 binary64))) (-.f64 f n))
(/.f64 (neg.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 n f)))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 n f)))) (neg.f64 (-.f64 f n)))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (neg.f64 (+.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)) #s(literal -1 binary64)))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 n f))) (+.f64 f n))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n))))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 f n) (*.f64 n n)))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (*.f64 (+.f64 f n) (-.f64 f n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n))) (/.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n))))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 n f)))
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.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 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.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 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.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 (+.f64 f n) (-.f64 f n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.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) (/.f64 #s(literal 1 binary64) (+.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)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f 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 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(+.f64 f n)
(+.f64 n f)
(-.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (/.f64 (*.f64 n n) (-.f64 f n)))
(-.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (/.f64 (*.f64 f f) (-.f64 n f)))
(fma.f64 #s(literal 1 binary64) f n)
(fma.f64 #s(literal -1 binary64) (neg.f64 f) n)
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 f n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) (*.f64 (+.f64 f n) (-.f64 f n)))))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n))
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 n f))
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (neg.f64 (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 f n)))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (neg.f64 (-.f64 f n)))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 f n))
(/.f64 (-.f64 (*.f64 (*.f64 f f) (-.f64 f n)) (*.f64 (-.f64 f n) (*.f64 n n))) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (neg.f64 (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n)))) (neg.f64 (neg.f64 (-.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))))))
(pow.f64 (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) #s(literal -1 binary64))
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(pow.f64 (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 (+.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n (+.f64 f f)))))))
(*.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1 binary64))))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+.f64 (/.f64 f n) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 (/.f64 f n) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 f n) #s(literal 1 binary64))))
(fma.f64 f (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (neg.f64 n)) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 (/.f64 f n) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 f (neg.f64 n)) #s(literal 1 binary64))
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 (-.f64 (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 f n) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 (*.f64 f f) (*.f64 n n)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (fma.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))))
(pow.f64 (/.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))))
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(exp.f64 (*.f64 (log.f64 (/.f64 n f)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 f (neg.f64 n)))
(-.f64 (/.f64 #s(literal 0 binary64) n) (/.f64 f (neg.f64 n)))
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(/.f64 f n)
(/.f64 f (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 f) (neg.f64 n))
(/.f64 (neg.f64 f) (neg.f64 (neg.f64 (neg.f64 n))))
(/.f64 #s(literal 1 binary64) (/.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n f) #s(literal 1 binary64)))
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(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n f) #s(literal 1 binary64))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 f)) (neg.f64 n))
(/.f64 (*.f64 f #s(literal 1 binary64)) n)
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 n)) (*.f64 (neg.f64 n) f)) (*.f64 n n))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 f))) (neg.f64 (neg.f64 n)))
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(*.f64 f (/.f64 #s(literal 1 binary64) n))
(*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(*.f64 #s(literal 1 binary64) (/.f64 f n))
(*.f64 (/.f64 f n) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) n) f)
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 f (neg.f64 n)))
(*.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))

simplify491.0ms (5.2%)

Memory
-2.3MiB live, 600.0MiB allocated
Algorithm
1×egg-herbie
Rules
10 898×lower-fma.f64
10 898×lower-fma.f32
3 238×lower-*.f64
3 238×lower-*.f32
2 348×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02641621
17971575
222541472
365441464
082651379
Stop Event
1×iter limit
1×node limit
Counts
264 → 252
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
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
-1
(- (* -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
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(/ f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(/ f n)
(/ (+ f (/ (pow f 2) n)) n)
(/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)
(/ f n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* 2 (/ f n))
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(* 2 (/ (pow f 2) (pow n 2)))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(* 2 (/ (pow f 2) (pow n 2)))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(* 2 (/ (pow f 2) (pow n 2)))
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
1
(+ 1 (/ f n))
(+ 1 (/ f n))
(+ 1 (/ f n))
(/ f n)
(* f (+ (/ 1 f) (/ 1 n)))
(* f (+ (/ 1 f) (/ 1 n)))
(* f (+ (/ 1 f) (/ 1 n)))
(/ f n)
(* f (+ (/ 1 f) (/ 1 n)))
(* f (+ (/ 1 f) (/ 1 n)))
(* f (+ (/ 1 f) (/ 1 n)))
(/ f n)
(/ (+ f n) n)
(/ (+ f n) n)
(/ (+ f n) n)
1
(+ 1 (/ f n))
(+ 1 (/ f n))
(+ 1 (/ f n))
1
(+ 1 (/ f n))
(+ 1 (/ f n))
(+ 1 (/ f n))
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #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 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(-.f64 (fma.f64 n (*.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f)))) #s(literal -1 binary64)) (/.f64 (+.f64 n n) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #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 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n))
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
f
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
f
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
n
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 f)
(neg.f64 f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
n
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(fma.f64 f (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))) (/.f64 f n))
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
(fma.f64 f (*.f64 f (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 f (*.f64 n (*.f64 n n))))) (/.f64 (fma.f64 f (/.f64 f n) f) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) f)) f))
(/ f n)
(/.f64 f n)
(/ (+ f (/ (pow f 2) n)) n)
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n)
(/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)
(/.f64 (+.f64 f (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 n (*.f64 n n))))) n)
(/ f n)
(/.f64 f n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 f (/.f64 (fma.f64 f f (/.f64 (fma.f64 f (*.f64 f f) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) n)) n)) n)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
f
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(* -1 n)
(neg.f64 n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(/ (+ n (* 2 f)) n)
(/.f64 (+.f64 n (+.f64 f f)) n)
(/ (+ n (* 2 f)) n)
(/.f64 (+.f64 n (+.f64 f f)) n)
(/ (+ n (* 2 f)) n)
(/.f64 (+.f64 n (+.f64 f f)) n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(* 2 (/ (pow f 2) (pow n 2)))
(/.f64 (*.f64 f (+.f64 f f)) (*.f64 n n))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(*.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) (*.f64 f n))))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(fma.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) (*.f64 f n))) #s(literal 1 binary64))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(fma.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) (*.f64 f n))) #s(literal 1 binary64))
(* 2 (/ (pow f 2) (pow n 2)))
(/.f64 (*.f64 f (+.f64 f f)) (*.f64 n n))
(* (pow f 2) (+ (* 2 (/ 1 (* f n))) (* 2 (/ 1 (pow n 2)))))
(*.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) (*.f64 f n))))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(fma.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) (*.f64 f n))) #s(literal 1 binary64))
(* (pow f 2) (+ (/ 1 (pow f 2)) (+ (* 2 (/ 1 (pow n 2))) (/ 2 (* f n)))))
(fma.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) (*.f64 f n))) #s(literal 1 binary64))
(* 2 (/ (pow f 2) (pow n 2)))
(/.f64 (*.f64 f (+.f64 f f)) (*.f64 n n))
(/ (+ (* 2 (* f n)) (* 2 (pow f 2))) (pow n 2))
(/.f64 (*.f64 (+.f64 f f) (+.f64 f n)) (*.f64 n n))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/.f64 (fma.f64 (+.f64 f f) (+.f64 f n) (*.f64 n n)) (*.f64 n n))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/.f64 (fma.f64 (+.f64 f f) (+.f64 f n) (*.f64 n n)) (*.f64 n n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(/ (+ f n) n)
(/.f64 (+.f64 f n) n)
(/ (+ f n) n)
(/.f64 (+.f64 f n) n)
(/ (+ f n) n)
(/.f64 (+.f64 f n) n)
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)

eval127.0ms (1.4%)

Memory
-26.5MiB live, 304.8MiB allocated
Compiler

Compiled 16 339 to 1 733 computations (89.4% saved)

prune92.0ms (1%)

Memory
6.4MiB live, 204.0MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New9362938
Fresh044
Picked235
Done000
Total9389947
Accuracy
100.0%
Counts
947 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
54.0%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
▶100.0%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
▶48.2%
(/.f64 (+.f64 n (+.f64 f f)) n)
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
▶48.0%
(/.f64 (neg.f64 n) (-.f64 f n))
✓53.8%
(/.f64 (neg.f64 f) (-.f64 f n))
▶53.7%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
▶46.8%
#s(literal 1 binary64)
✓52.9%
#s(literal -1 binary64)
Compiler

Compiled 144 to 81 computations (43.8% saved)

simplify298.0ms (3.2%)

Memory
-5.1MiB live, 433.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 f f)
✓cost-diff0
(+.f64 n (+.f64 f f))
✓cost-diff0
(/.f64 (+.f64 n (+.f64 f f)) n)
✓cost-diff0
(-.f64 f n)
✓cost-diff0
(neg.f64 n)
✓cost-diff128
(/.f64 (neg.f64 n) (-.f64 f n))
✓cost-diff0
(/.f64 n f)
✓cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓cost-diff0
(/.f64 (-.f64 f n) (+.f64 f n))
✓cost-diff192
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n))
✓cost-diff1408
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
✓cost-diff1408
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
Rules
11 430×lower-fma.f64
11 430×lower-fma.f32
3 354×lower-*.f32
3 352×lower-*.f64
1 716×lower--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
019116
03392
16990
214381
338279
4123279
5449279
0811777
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n))
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
#s(literal 0 binary64)
(/.f64 (-.f64 f n) (+.f64 f n))
(-.f64 f n)
f
n
(+.f64 f n)
(*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
#s(literal -1 binary64)
(/.f64 n f)
n
f
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 n (+.f64 f f)) n)
(+.f64 n (+.f64 f f))
n
(+.f64 f f)
f
Outputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n))
(-.f64 n f)
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
#s(literal 0 binary64)
#s(literal 0 binary64)
(/.f64 (-.f64 f n) (+.f64 f n))
(-.f64 f n)
f
n
(+.f64 f n)
(*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))
(/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
#s(literal -1 binary64)
(/.f64 n f)
n
f
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 n (-.f64 n f))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 n (+.f64 f f)) n)
(+.f64 (/.f64 (+.f64 f f) n) #s(literal 1 binary64))
(+.f64 n (+.f64 f f))
(+.f64 f (+.f64 f n))
n
(+.f64 f f)
f

localize54.0ms (0.6%)

Memory
21.9MiB live, 98.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 n (+.f64 f f))
✓accuracy100.0%
(+.f64 f f)
✓accuracy100.0%
(/.f64 (+.f64 n (+.f64 f f)) n)
✓accuracy100.0%
(-.f64 f n)
✓accuracy100.0%
(neg.f64 n)
✓accuracy100.0%
(/.f64 (neg.f64 n) (-.f64 f n))
✓accuracy100.0%
(/.f64 n f)
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓accuracy100.0%
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
✓accuracy100.0%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
✓accuracy100.0%
(*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))
✓accuracy100.0%
(/.f64 (-.f64 f n) (+.f64 f n))
Samples
32.0ms256×0valid
Compiler

Compiled 118 to 21 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 9.0ms (44.3% of total)
ival-sub: 4.0ms (19.7% of total)
ival-add: 3.0ms (14.8% of total)
ival-mult: 2.0ms (9.9% of total)
ival-neg: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series18.0ms (0.2%)

Memory
-16.0MiB live, 24.7MiB allocated
Counts
13 → 288
Calls
Call 1
Inputs
#<alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))>
#<alt (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))>
#<alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n))>
#<alt (/.f64 (-.f64 f n) (+.f64 f n))>
#<alt (-.f64 #s(literal -1 binary64) (/.f64 n f))>
#<alt (/.f64 n f)>
#<alt (/.f64 (neg.f64 n) (-.f64 f n))>
#<alt (neg.f64 n)>
#<alt (-.f64 f n)>
#<alt (/.f64 (+.f64 n (+.f64 f f)) n)>
#<alt (+.f64 n (+.f64 f f))>
#<alt (+.f64 f f)>
#<alt (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (+ (* -1 (/ n f)) (/ n f)) (+ 1 (* 2 (/ n f))))>
#<alt (- (+ (* -1 (/ n f)) (+ (/ n f) (/ (pow n 2) (pow f 2)))) (+ 1 (+ (* -2 (/ (* n (- (+ n (* -1 n)) (* 2 n))) (pow f 2))) (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))))))>
#<alt (- (+ (* -1 (/ n f)) (+ (* -1 (/ (+ (* -2 (* n (- (pow n 2) (+ (* -2 (* n (- (+ n (* -1 n)) (* 2 n)))) (* -1 (pow n 2)))))) (* (pow n 2) (- (+ n (* -1 n)) (* 2 n)))) (pow f 3))) (+ (/ n f) (/ (pow n 2) (pow f 2))))) (+ 1 (+ (* -2 (/ (* n (- (+ n (* -1 n)) (* 2 n))) (pow f 2))) (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (+ (* -1 (/ f n)) (/ f n))) (* -2 (/ f n)))>
#<alt (- (+ 1 (+ (* -1 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))) (+ (* -2 (/ f n)) (+ (* -2 (/ (* f (- (+ f (* -1 f)) (* -2 f))) (pow n 2))) (/ (pow f 2) (pow n 2)))))>
#<alt (- (+ 1 (+ (* -1 (/ f n)) (+ (* -1 (/ (+ (* -2 (* f (- (* -1 (pow f 2)) (+ (* -2 (* f (- (+ f (* -1 f)) (* -2 f)))) (pow f 2))))) (* (pow f 2) (- (+ f (* -1 f)) (* -2 f)))) (pow n 3))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))))) (+ (* -2 (/ f n)) (+ (* -2 (/ (* f (- (+ f (* -1 f)) (* -2 f))) (pow n 2))) (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt -1>
#<alt (- (* 2 (/ f n)) 1)>
#<alt (- (* f (+ (* -2 (/ f (pow n 2))) (* 2 (/ 1 n)))) 1)>
#<alt (- (* f (+ (* f (- (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ n f))) (/ n f))>
#<alt (- (+ 1 (+ (* -1 (/ n f)) (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))))) (/ n f))>
#<alt (- (+ 1 (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3)))) (+ (/ n f) (/ (* n (- (* -1 n) n)) (pow f 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ n f))) (/ n f))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 n) n)) (/ (* n (- (* -1 n) n)) f)) f)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* -1 (* n (- (* -1 n) n))) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ n f)))>
#<alt (+ 1 (* n (- (* 2 (/ n (pow f 2))) (* 2 (/ 1 f)))))>
#<alt (+ 1 (* n (- (* n (+ (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))))>
#<alt -1>
#<alt (- (/ f n) (+ 1 (* -1 (/ f n))))>
#<alt (- (+ (* -1 (/ (* f (- f (* -1 f))) (pow n 2))) (/ f n)) (+ 1 (* -1 (/ f n))))>
#<alt (- (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3))) (+ 1 (+ (* -1 (/ f n)) (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 f) f) n)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 f) (* -1 (/ (* f (- (* -1 f) f)) n))) f) n)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* -1 (* f (- (* -1 f) f)))) n))) f) n)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* 2 (/ f n))>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* 2 f)>
#<alt (+ n (* 2 f))>
#<alt (+ n (* 2 f))>
#<alt (+ n (* 2 f))>
#<alt n>
#<alt (* n (+ 1 (* 2 (/ f n))))>
#<alt (* n (+ 1 (* 2 (/ f n))))>
#<alt (* n (+ 1 (* 2 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (* -2 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -2 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -2 (/ f n)) 1)))>
#<alt n>
#<alt (+ n (* 2 f))>
#<alt (+ n (* 2 f))>
#<alt (+ n (* 2 f))>
#<alt (* 2 f)>
#<alt (* f (+ 2 (/ n f)))>
#<alt (* f (+ 2 (/ n f)))>
#<alt (* f (+ 2 (/ n f)))>
#<alt (* 2 f)>
#<alt (* -1 (* f (- (* -1 (/ n f)) 2)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 2)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 2)))>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt n>
#<alt (+ n (* -3 f))>
#<alt (+ n (* f (- (* 4 (/ f n)) 3)))>
#<alt (+ n (* f (- (* f (+ (* -4 (/ f (pow n 2))) (* 4 (/ 1 n)))) 3)))>
#<alt f>
#<alt (* f (- (+ 1 (* -2 (/ n f))) (/ n f)))>
#<alt (* f (- (+ 1 (+ (* -2 (/ n f)) (/ (pow n 2) (pow f 2)))) (+ (/ n f) (/ (* n (- (* -2 n) n)) (pow f 2)))))>
#<alt (* f (- (+ 1 (+ (* -2 (/ n f)) (+ (* -1 (/ (* n (- (pow n 2) (* n (- (* -2 n) n)))) (pow f 3))) (/ (pow n 2) (pow f 2))))) (+ (/ n f) (/ (* n (- (* -2 n) n)) (pow f 2)))))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ (- (* -2 n) n) f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ (- (+ (* -2 n) (* -1 (/ (- (* -1 (pow n 2)) (* -1 (* n (- (* -2 n) n)))) f))) n) f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ (- (+ (* -2 n) (* -1 (/ (- (+ (* -1 (/ (* n (- (* -1 (pow n 2)) (* -1 (* n (- (* -2 n) n))))) f)) (* -1 (pow n 2))) (* -1 (* n (- (* -2 n) n)))) f))) n) f)) 1)))>
#<alt f>
#<alt (+ f (* -3 n))>
#<alt (+ f (* n (- (* 4 (/ n f)) 3)))>
#<alt (+ f (* n (- (* n (+ (* -4 (/ n (pow f 2))) (* 4 (/ 1 f)))) 3)))>
#<alt n>
#<alt (* n (- (+ 1 (* -2 (/ f n))) (/ f n)))>
#<alt (* n (- (+ 1 (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))) (+ (/ f n) (/ (* f (- (* -2 f) f)) (pow n 2)))))>
#<alt (* n (- (+ 1 (+ (* -2 (/ f n)) (+ (* -1 (/ (* f (- (pow f 2) (* f (- (* -2 f) f)))) (pow n 3))) (/ (pow f 2) (pow n 2))))) (+ (/ f n) (/ (* f (- (* -2 f) f)) (pow n 2)))))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ (- (* -2 f) f) n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ (- (+ (* -2 f) (* -1 (/ (- (* -1 (pow f 2)) (* -1 (* f (- (* -2 f) f)))) n))) f) n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ (- (+ (* -2 f) (* -1 (/ (- (+ (* -1 (/ (* f (- (* -1 (pow f 2)) (* -1 (* f (- (* -2 f) f))))) n)) (* -1 (pow f 2))) (* -1 (* f (- (* -2 f) f)))) n))) f) n)) 1)))>
Calls

72 calls:

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

rewrite335.0ms (3.6%)

Memory
26.3MiB live, 496.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 644×lower-/.f32
5 634×lower-/.f64
4 938×lower-fma.f64
4 938×lower-fma.f32
4 502×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01899
03275
115669
2139263
0859261
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 1 033
Calls
Call 1
Inputs
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n))
(/.f64 (-.f64 f n) (+.f64 f n))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 n f)
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(-.f64 f n)
(/.f64 (+.f64 n (+.f64 f f)) n)
(+.f64 n (+.f64 f f))
(+.f64 f f)
(*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))
Outputs
(+.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (+.f64 f n) (-.f64 f n))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 f n) (neg.f64 (+.f64 f n)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 f (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f)))) (/.f64 n (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f)))))
(-.f64 (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f)))) (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f)))))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f)))) (/.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f)))))
(-.f64 (/.f64 (+.f64 #s(literal 0 binary64) f) (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f)))) (/.f64 n (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f)))))
(-.f64 (/.f64 (+.f64 f #s(literal 0 binary64)) (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f)))) (/.f64 n (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f)))))
(-.f64 (/.f64 (neg.f64 f) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n))) (/.f64 (neg.f64 n) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n))) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f))))) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (neg.f64 f) (neg.f64 (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f))))) (/.f64 (neg.f64 n) (neg.f64 (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f))))))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f))))) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (*.f64 (-.f64 f n) (-.f64 f n))) (neg.f64 (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f))))) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n)))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (-.f64 f n))) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (-.f64 f n))))
(-.f64 (/.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n))) (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)))) (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (-.f64 f n)) (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))))) (/.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))) (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (-.f64 f n) (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f))))
(/.f64 (-.f64 f n) (neg.f64 (neg.f64 (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f))))))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
(/.f64 (+.f64 n (neg.f64 f)) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)))
(/.f64 (+.f64 n (neg.f64 f)) (neg.f64 (*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 n (neg.f64 f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (neg.f64 (+.f64 f n))))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 f n) (+.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n))) (neg.f64 (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (-.f64 f n)) (neg.f64 (*.f64 (-.f64 f n) (-.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n))) (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n))) (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (-.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n))) (*.f64 (neg.f64 (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 f n) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n))) (*.f64 (neg.f64 (*.f64 (-.f64 f n) (-.f64 f n))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n))))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n))) (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (*.f64 (+.f64 n (neg.f64 f)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (*.f64 (neg.f64 (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (+.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (*.f64 (neg.f64 (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (+.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (*.f64 (+.f64 n (neg.f64 f)) (/.f64 (+.f64 f n) (-.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)) (/.f64 (/.f64 (-.f64 f n) (+.f64 n (neg.f64 f))) (-.f64 f n))))
(/.f64 (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n))) (neg.f64 (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n)))))
(/.f64 (neg.f64 (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n)))) (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n))))
(/.f64 (neg.f64 (*.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (+.f64 f n)) (-.f64 f n)))
(/.f64 (/.f64 (-.f64 f n) (+.f64 n (neg.f64 f))) (/.f64 (-.f64 f n) (+.f64 f n)))
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(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (/.f64 (-.f64 f n) (neg.f64 (+.f64 f n))))

simplify600.0ms (6.4%)

Memory
-21.7MiB live, 538.2MiB allocated
Algorithm
1×egg-herbie
Rules
10 624×lower-fma.f64
10 624×lower-fma.f32
4 240×lower-*.f64
4 240×lower-*.f32
3 196×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04912421
115502154
249762079
081791941
Stop Event
1×iter limit
1×node limit
Counts
288 → 273
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
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(- (+ (* -1 (/ n f)) (+ (* -1 (/ (+ (* -2 (* n (- (pow n 2) (+ (* -2 (* n (- (+ n (* -1 n)) (* 2 n)))) (* -1 (pow n 2)))))) (* (pow n 2) (- (+ n (* -1 n)) (* 2 n)))) (pow f 3))) (+ (/ n f) (/ (pow n 2) (pow f 2))))) (+ 1 (+ (* -2 (/ (* n (- (+ n (* -1 n)) (* 2 n))) (pow f 2))) (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))))))
-1
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1
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1
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0
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(- (+ 1 (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3)))) (+ (/ n f) (/ (* n (- (* -1 n) n)) (pow f 2))))
1
(- (+ 1 (* -1 (/ n f))) (/ n f))
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(+ 1 (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* -1 (* n (- (* -1 n) n))) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)))
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(/ (+ (* -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 (/ (+ 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 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* 2 (/ f n))
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* 2 f)
(+ n (* 2 f))
(+ n (* 2 f))
(+ n (* 2 f))
n
(* n (+ 1 (* 2 (/ f n))))
(* n (+ 1 (* 2 (/ f n))))
(* n (+ 1 (* 2 (/ f n))))
n
(* -1 (* n (- (* -2 (/ f n)) 1)))
(* -1 (* n (- (* -2 (/ f n)) 1)))
(* -1 (* n (- (* -2 (/ f n)) 1)))
n
(+ n (* 2 f))
(+ n (* 2 f))
(+ n (* 2 f))
(* 2 f)
(* f (+ 2 (/ n f)))
(* f (+ 2 (/ n f)))
(* f (+ 2 (/ n f)))
(* 2 f)
(* -1 (* f (- (* -1 (/ n f)) 2)))
(* -1 (* f (- (* -1 (/ n f)) 2)))
(* -1 (* f (- (* -1 (/ n f)) 2)))
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
n
(+ n (* -3 f))
(+ n (* f (- (* 4 (/ f n)) 3)))
(+ n (* f (- (* f (+ (* -4 (/ f (pow n 2))) (* 4 (/ 1 n)))) 3)))
f
(* f (- (+ 1 (* -2 (/ n f))) (/ n f)))
(* f (- (+ 1 (+ (* -2 (/ n f)) (/ (pow n 2) (pow f 2)))) (+ (/ n f) (/ (* n (- (* -2 n) n)) (pow f 2)))))
(* f (- (+ 1 (+ (* -2 (/ n f)) (+ (* -1 (/ (* n (- (pow n 2) (* n (- (* -2 n) n)))) (pow f 3))) (/ (pow n 2) (pow f 2))))) (+ (/ n f) (/ (* n (- (* -2 n) n)) (pow f 2)))))
f
(* -1 (* f (- (* -1 (/ (- (* -2 n) n) f)) 1)))
(* -1 (* f (- (* -1 (/ (- (+ (* -2 n) (* -1 (/ (- (* -1 (pow n 2)) (* -1 (* n (- (* -2 n) n)))) f))) n) f)) 1)))
(* -1 (* f (- (* -1 (/ (- (+ (* -2 n) (* -1 (/ (- (+ (* -1 (/ (* n (- (* -1 (pow n 2)) (* -1 (* n (- (* -2 n) n))))) f)) (* -1 (pow n 2))) (* -1 (* n (- (* -2 n) n)))) f))) n) f)) 1)))
f
(+ f (* -3 n))
(+ f (* n (- (* 4 (/ n f)) 3)))
(+ f (* n (- (* n (+ (* -4 (/ n (pow f 2))) (* 4 (/ 1 f)))) 3)))
n
(* n (- (+ 1 (* -2 (/ f n))) (/ f n)))
(* n (- (+ 1 (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))) (+ (/ f n) (/ (* f (- (* -2 f) f)) (pow n 2)))))
(* n (- (+ 1 (+ (* -2 (/ f n)) (+ (* -1 (/ (* f (- (pow f 2) (* f (- (* -2 f) f)))) (pow n 3))) (/ (pow f 2) (pow n 2))))) (+ (/ f n) (/ (* f (- (* -2 f) f)) (pow n 2)))))
n
(* -1 (* n (- (* -1 (/ (- (* -2 f) f) n)) 1)))
(* -1 (* n (- (* -1 (/ (- (+ (* -2 f) (* -1 (/ (- (* -1 (pow f 2)) (* -1 (* f (- (* -2 f) f)))) n))) f) n)) 1)))
(* -1 (* n (- (* -1 (/ (- (+ (* -2 f) (* -1 (/ (- (+ (* -1 (/ (* f (- (* -1 (pow f 2)) (* -1 (* f (- (* -2 f) f))))) n)) (* -1 (pow f 2))) (* -1 (* f (- (* -2 f) f)))) n))) f) n)) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 f (fma.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (+ (* -1 (/ n f)) (/ n f)) (+ 1 (* 2 (/ n f))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (+ (/ n f) (/ (pow n 2) (pow f 2)))) (+ 1 (+ (* -2 (/ (* n (- (+ n (* -1 n)) (* 2 n))) (pow f 2))) (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))))))
(-.f64 (fma.f64 n (/.f64 n (*.f64 f f)) #s(literal -1 binary64)) (fma.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) (/.f64 n f)) (/.f64 (*.f64 n #s(literal -3 binary64)) f) (/.f64 (+.f64 n n) f)))
(- (+ (* -1 (/ n f)) (+ (* -1 (/ (+ (* -2 (* n (- (pow n 2) (+ (* -2 (* n (- (+ n (* -1 n)) (* 2 n)))) (* -1 (pow n 2)))))) (* (pow n 2) (- (+ n (* -1 n)) (* 2 n)))) (pow f 3))) (+ (/ n f) (/ (pow n 2) (pow f 2))))) (+ 1 (+ (* -2 (/ (* n (- (+ n (* -1 n)) (* 2 n))) (pow f 2))) (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))))))
(+.f64 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 (fma.f64 n (*.f64 n (+.f64 n n)) (neg.f64 (neg.f64 (*.f64 (+.f64 n n) (-.f64 (*.f64 n (+.f64 n n)) (*.f64 (*.f64 n n) #s(literal 4 binary64))))))) (*.f64 f (*.f64 f f)))) (-.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) (/.f64 n f)) (/.f64 (*.f64 n #s(literal -3 binary64)) f) (/.f64 (+.f64 n n) f))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 n n) (/.f64 n f) n)) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 n (+.f64 n n) (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) f)) f) (+.f64 n n)) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (+ (* -1 (/ f n)) (/ f n))) (* -2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(- (+ 1 (+ (* -1 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))) (+ (* -2 (/ f n)) (+ (* -2 (/ (* f (- (+ f (* -1 f)) (* -2 f))) (pow n 2))) (/ (pow f 2) (pow n 2)))))
(-.f64 (fma.f64 (/.f64 f (*.f64 n n)) (neg.f64 f) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 f n) (/.f64 (*.f64 f (+.f64 f f)) (*.f64 n n))) (/.f64 (*.f64 f f) (*.f64 n n))))
(- (+ 1 (+ (* -1 (/ f n)) (+ (* -1 (/ (+ (* -2 (* f (- (* -1 (pow f 2)) (+ (* -2 (* f (- (+ f (* -1 f)) (* -2 f)))) (pow f 2))))) (* (pow f 2) (- (+ f (* -1 f)) (* -2 f)))) (pow n 3))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))))) (+ (* -2 (/ f n)) (+ (* -2 (/ (* f (- (+ f (* -1 f)) (* -2 f))) (pow n 2))) (/ (pow f 2) (pow n 2)))))
(+.f64 (neg.f64 (fma.f64 f (/.f64 f (*.f64 n n)) (/.f64 (fma.f64 f (*.f64 #s(literal -2 binary64) (fma.f64 f (-.f64 (neg.f64 f) f) (*.f64 (*.f64 f f) #s(literal 4 binary64)))) (*.f64 f (*.f64 f (+.f64 f f)))) (*.f64 n (*.f64 n n))))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 f n) (/.f64 (*.f64 f (+.f64 f f)) (*.f64 n n))) (/.f64 (*.f64 f f) (*.f64 n n)))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (+.f64 f (/.f64 (fma.f64 f (/.f64 (*.f64 f (+.f64 f f)) n) (*.f64 f (+.f64 f f))) n))) n))
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
0
#s(literal 0 binary64)
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* f (- (/ n f) 1))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* f (- (/ n f) 1))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* -1 f)
(neg.f64 f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
n
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (*.f64 n (/.f64 f n)))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (*.f64 n (/.f64 f n)))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (*.f64 n (/.f64 f n)))
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (*.f64 n (/.f64 f n)))
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (*.f64 n (/.f64 f n)))
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (*.f64 n (/.f64 f n)))
-1
#s(literal -1 binary64)
(- (* 2 (/ f n)) 1)
(+.f64 (/.f64 (+.f64 f f) n) #s(literal -1 binary64))
(- (* f (+ (* -2 (/ f (pow n 2))) (* 2 (/ 1 n)))) 1)
(fma.f64 f (fma.f64 f (/.f64 #s(literal -2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))
(- (* f (+ (* f (- (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))) 1)
(fma.f64 f (fma.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 #s(literal -2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ n f))) (/ n f))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ n f)) (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))))) (/ n f))
(fma.f64 n (+.f64 (/.f64 (+.f64 n n) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3)))) (+ (/ n f) (/ (* n (- (* -1 n) n)) (pow f 2))))
(+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) (*.f64 f (*.f64 f f))) (*.f64 n (+.f64 (/.f64 (+.f64 n n) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ n f))) (/ n f))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 n) n)) (/ (* n (- (* -1 n) n)) f)) f)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n #s(literal -2 binary64) (/.f64 (*.f64 n (+.f64 n n)) f)) f))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* -1 (* n (- (* -1 n) n))) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 n (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) f) (*.f64 n (+.f64 n n))) f) (+.f64 n n)) f))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ n f)))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64))
(+ 1 (* n (- (* 2 (/ n (pow f 2))) (* 2 (/ 1 f)))))
(fma.f64 n (+.f64 (/.f64 (+.f64 n n) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal 1 binary64))
(+ 1 (* n (- (* n (+ (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))))
(fma.f64 n (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f (*.f64 f f))) (/.f64 #s(literal 2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ f n) (+ 1 (* -1 (/ f n))))
(+.f64 (/.f64 (+.f64 f f) n) #s(literal -1 binary64))
(- (+ (* -1 (/ (* f (- f (* -1 f))) (pow n 2))) (/ f n)) (+ 1 (* -1 (/ f n))))
(fma.f64 f (fma.f64 f (/.f64 #s(literal -2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))
(- (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3))) (+ 1 (+ (* -1 (/ f n)) (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 f (/.f64 (*.f64 f (+.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 f (fma.f64 f (/.f64 #s(literal -2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 f) f) n)) 1)
(+.f64 (/.f64 (+.f64 f f) n) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 f) (* -1 (/ (* f (- (* -1 f) f)) n))) f) n)) 1)
(fma.f64 f (fma.f64 f (/.f64 #s(literal -2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* -1 (* f (- (* -1 f) f)))) n))) f) n)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 f (*.f64 f (+.f64 f f))) n) (*.f64 f (+.f64 f f))) n) (+.f64 f f)) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(/ (- (* -1 f) n) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ (- (* -1 f) n) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ (- (* -1 f) n) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(neg.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (fma.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 f f)) (/.f64 n (*.f64 f (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (fma.f64 n (fma.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 f f))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal -1 binary64) f)))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 (fma.f64 (*.f64 f f) (/.f64 f (*.f64 n (*.f64 n n))) #s(literal 1 binary64)) (/.f64 (fma.f64 f (/.f64 f n) f) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 f (/.f64 (*.f64 f f) n) (*.f64 f f)) n) f) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(fma.f64 f (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(neg.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f))
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/.f64 (-.f64 (neg.f64 n) (/.f64 (fma.f64 n n (/.f64 (*.f64 n (*.f64 n n)) f)) f)) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(/.f64 (-.f64 (-.f64 (neg.f64 n) (/.f64 (fma.f64 n n (/.f64 (*.f64 n (*.f64 n n)) f)) f)) (/.f64 (pow.f64 n #s(literal 4 binary64)) (*.f64 f (*.f64 f f)))) f)
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(neg.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(/.f64 (-.f64 (neg.f64 n) (/.f64 (fma.f64 n n (/.f64 (*.f64 n (*.f64 n n)) f)) f)) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (+.f64 n (/.f64 (+.f64 (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f) (*.f64 n n)) f)) (neg.f64 f))
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f (/.f64 (*.f64 f n) f))
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f (/.f64 (*.f64 f n) f))
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f (/.f64 (*.f64 f n) f))
f
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (/.f64 (*.f64 f n) f))
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (/.f64 (*.f64 f n) f))
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (/.f64 (*.f64 f n) f))
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(* -1 n)
(neg.f64 n)
(* n (- (/ f n) 1))
(-.f64 (*.f64 n (/.f64 f n)) n)
(* n (- (/ f n) 1))
(-.f64 (*.f64 n (/.f64 f n)) n)
(* n (- (/ f n) 1))
(-.f64 (*.f64 n (/.f64 f n)) n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (*.f64 n (/.f64 f n)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (*.f64 n (/.f64 f n)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (*.f64 n (/.f64 f n)) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(/ (+ n (* 2 f)) n)
(/.f64 (+.f64 n (+.f64 f f)) n)
(/ (+ n (* 2 f)) n)
(/.f64 (+.f64 n (+.f64 f f)) n)
(/ (+ n (* 2 f)) n)
(/.f64 (+.f64 n (+.f64 f f)) n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(* 2 f)
(+.f64 f f)
(+ n (* 2 f))
(+.f64 n (+.f64 f f))
(+ n (* 2 f))
(+.f64 n (+.f64 f f))
(+ n (* 2 f))
(+.f64 n (+.f64 f f))
n
(* n (+ 1 (* 2 (/ f n))))
(fma.f64 n (/.f64 (+.f64 f f) n) n)
(* n (+ 1 (* 2 (/ f n))))
(fma.f64 n (/.f64 (+.f64 f f) n) n)
(* n (+ 1 (* 2 (/ f n))))
(fma.f64 n (/.f64 (+.f64 f f) n) n)
n
(* -1 (* n (- (* -2 (/ f n)) 1)))
(fma.f64 n (/.f64 (+.f64 f f) n) n)
(* -1 (* n (- (* -2 (/ f n)) 1)))
(fma.f64 n (/.f64 (+.f64 f f) n) n)
(* -1 (* n (- (* -2 (/ f n)) 1)))
(fma.f64 n (/.f64 (+.f64 f f) n) n)
n
(+ n (* 2 f))
(+.f64 n (+.f64 f f))
(+ n (* 2 f))
(+.f64 n (+.f64 f f))
(+ n (* 2 f))
(+.f64 n (+.f64 f f))
(* 2 f)
(+.f64 f f)
(* f (+ 2 (/ n f)))
(*.f64 f (+.f64 #s(literal 2 binary64) (/.f64 n f)))
(* f (+ 2 (/ n f)))
(*.f64 f (+.f64 #s(literal 2 binary64) (/.f64 n f)))
(* f (+ 2 (/ n f)))
(*.f64 f (+.f64 #s(literal 2 binary64) (/.f64 n f)))
(* 2 f)
(+.f64 f f)
(* -1 (* f (- (* -1 (/ n f)) 2)))
(*.f64 f (+.f64 #s(literal 2 binary64) (/.f64 n f)))
(* -1 (* f (- (* -1 (/ n f)) 2)))
(*.f64 f (+.f64 #s(literal 2 binary64) (/.f64 n f)))
(* -1 (* f (- (* -1 (/ n f)) 2)))
(*.f64 f (+.f64 #s(literal 2 binary64) (/.f64 n f)))
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
n
(+ n (* -3 f))
(fma.f64 f #s(literal -3 binary64) n)
(+ n (* f (- (* 4 (/ f n)) 3)))
(fma.f64 f (fma.f64 (/.f64 f n) #s(literal 4 binary64) #s(literal -3 binary64)) n)
(+ n (* f (- (* f (+ (* -4 (/ f (pow n 2))) (* 4 (/ 1 n)))) 3)))
(fma.f64 f (fma.f64 f (fma.f64 (/.f64 f (*.f64 n n)) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) n)) #s(literal -3 binary64)) n)
f
(* f (- (+ 1 (* -2 (/ n f))) (/ n f)))
(fma.f64 f (/.f64 (*.f64 n #s(literal -3 binary64)) f) f)
(* f (- (+ 1 (+ (* -2 (/ n f)) (/ (pow n 2) (pow f 2)))) (+ (/ n f) (/ (* n (- (* -2 n) n)) (pow f 2)))))
(*.f64 f (-.f64 (fma.f64 n (/.f64 n (*.f64 f f)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64))) (fma.f64 (*.f64 n #s(literal -3 binary64)) (/.f64 n (*.f64 f f)) (/.f64 n f))))
(* f (- (+ 1 (+ (* -2 (/ n f)) (+ (* -1 (/ (* n (- (pow n 2) (* n (- (* -2 n) n)))) (pow f 3))) (/ (pow n 2) (pow f 2))))) (+ (/ n f) (/ (* n (- (* -2 n) n)) (pow f 2)))))
(*.f64 f (-.f64 (-.f64 (fma.f64 n (/.f64 n (*.f64 f f)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64))) (/.f64 (*.f64 n (*.f64 n (+.f64 n (*.f64 n #s(literal 3 binary64))))) (*.f64 f (*.f64 f f)))) (fma.f64 (*.f64 n #s(literal -3 binary64)) (/.f64 n (*.f64 f f)) (/.f64 n f))))
f
(* -1 (* f (- (* -1 (/ (- (* -2 n) n) f)) 1)))
(fma.f64 f (/.f64 (*.f64 n #s(literal -3 binary64)) f) f)
(* -1 (* f (- (* -1 (/ (- (+ (* -2 n) (* -1 (/ (- (* -1 (pow n 2)) (* -1 (* n (- (* -2 n) n)))) f))) n) f)) 1)))
(fma.f64 (neg.f64 f) (/.f64 (+.f64 (/.f64 (*.f64 (neg.f64 n) (+.f64 n (*.f64 n #s(literal 3 binary64)))) f) (*.f64 n #s(literal 3 binary64))) f) f)
(* -1 (* f (- (* -1 (/ (- (+ (* -2 n) (* -1 (/ (- (+ (* -1 (/ (* n (- (* -1 (pow n 2)) (* -1 (* n (- (* -2 n) n))))) f)) (* -1 (pow n 2))) (* -1 (* n (- (* -2 n) n)))) f))) n) f)) 1)))
(fma.f64 (neg.f64 f) (/.f64 (+.f64 (/.f64 (fma.f64 n (/.f64 (*.f64 (neg.f64 n) (+.f64 n (*.f64 n #s(literal 3 binary64)))) f) (*.f64 n (+.f64 n (*.f64 n #s(literal 3 binary64))))) f) (*.f64 n #s(literal -3 binary64))) (neg.f64 f)) f)
f
(+ f (* -3 n))
(fma.f64 n #s(literal -3 binary64) f)
(+ f (* n (- (* 4 (/ n f)) 3)))
(fma.f64 n (fma.f64 n (/.f64 #s(literal 4 binary64) f) #s(literal -3 binary64)) f)
(+ f (* n (- (* n (+ (* -4 (/ n (pow f 2))) (* 4 (/ 1 f)))) 3)))
(fma.f64 n (fma.f64 n (fma.f64 (/.f64 n (*.f64 f f)) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) f)) #s(literal -3 binary64)) f)
n
(* n (- (+ 1 (* -2 (/ f n))) (/ f n)))
(+.f64 n (*.f64 n (/.f64 (*.f64 f #s(literal -3 binary64)) n)))
(* n (- (+ 1 (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))) (+ (/ f n) (/ (* f (- (* -2 f) f)) (pow n 2)))))
(*.f64 n (-.f64 (fma.f64 f (/.f64 f (*.f64 n n)) (fma.f64 f (/.f64 #s(literal -2 binary64) n) #s(literal 1 binary64))) (fma.f64 f (/.f64 (*.f64 f #s(literal -3 binary64)) (*.f64 n n)) (/.f64 f n))))
(* n (- (+ 1 (+ (* -2 (/ f n)) (+ (* -1 (/ (* f (- (pow f 2) (* f (- (* -2 f) f)))) (pow n 3))) (/ (pow f 2) (pow n 2))))) (+ (/ f n) (/ (* f (- (* -2 f) f)) (pow n 2)))))
(*.f64 n (-.f64 (-.f64 (fma.f64 f (/.f64 f (*.f64 n n)) (fma.f64 f (/.f64 #s(literal -2 binary64) n) #s(literal 1 binary64))) (*.f64 (*.f64 f (+.f64 f (*.f64 f #s(literal 3 binary64)))) (/.f64 f (*.f64 n (*.f64 n n))))) (fma.f64 f (/.f64 (*.f64 f #s(literal -3 binary64)) (*.f64 n n)) (/.f64 f n))))
n
(* -1 (* n (- (* -1 (/ (- (* -2 f) f) n)) 1)))
(fma.f64 n (/.f64 (*.f64 f #s(literal -3 binary64)) n) n)
(* -1 (* n (- (* -1 (/ (- (+ (* -2 f) (* -1 (/ (- (* -1 (pow f 2)) (* -1 (* f (- (* -2 f) f)))) n))) f) n)) 1)))
(fma.f64 (neg.f64 n) (/.f64 (+.f64 (/.f64 (*.f64 f (+.f64 f (*.f64 f #s(literal 3 binary64)))) n) (*.f64 f #s(literal -3 binary64))) (neg.f64 n)) n)
(* -1 (* n (- (* -1 (/ (- (+ (* -2 f) (* -1 (/ (- (+ (* -1 (/ (* f (- (* -1 (pow f 2)) (* -1 (* f (- (* -2 f) f))))) n)) (* -1 (pow f 2))) (* -1 (* f (- (* -2 f) f)))) n))) f) n)) 1)))
(fma.f64 (neg.f64 n) (/.f64 (+.f64 (/.f64 (fma.f64 f (+.f64 f (*.f64 f #s(literal 3 binary64))) (*.f64 (*.f64 (neg.f64 f) (+.f64 f (*.f64 f #s(literal 3 binary64)))) (/.f64 f n))) n) (*.f64 f #s(literal -3 binary64))) (neg.f64 n)) n)

eval297.0ms (3.2%)

Memory
49.4MiB live, 499.1MiB allocated
Compiler

Compiled 62 051 to 5 192 computations (91.6% saved)

prune393.0ms (4.2%)

Memory
-6.7MiB live, 511.5MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New2 05422 056
Fresh011
Picked145
Done033
Total2 055102 065
Accuracy
100.0%
Counts
2 065 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶54.0%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
▶100.0%
(/.f64 (-.f64 n f) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
✓48.2%
(/.f64 (+.f64 n (+.f64 f f)) n)
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
✓48.0%
(/.f64 (neg.f64 n) (-.f64 f n))
✓53.8%
(/.f64 (neg.f64 f) (-.f64 f n))
✓53.7%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
▶47.4%
(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓46.8%
#s(literal 1 binary64)
✓52.9%
#s(literal -1 binary64)
Compiler

Compiled 79 to 50 computations (36.7% saved)

simplify523.0ms (5.6%)

Memory
-15.4MiB live, 475.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -2 binary64) f)
✓cost-diff0
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓cost-diff0
(-.f64 f n)
✓cost-diff0
(*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))
✓cost-diff0
(-.f64 n f)
✓cost-diff1408
(/.f64 (-.f64 n f) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
✓cost-diff0
(/.f64 f n)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 f n))
Rules
12 130×lower-fma.f32
12 128×lower-fma.f64
2 526×lower-*.f32
2 524×lower-*.f64
1 710×times-frac
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01568
02668
14968
29268
323568
475361
5233260
6709860
0823160
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal 1 binary64)
(/.f64 f n)
f
n
(/.f64 (-.f64 n f) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
(-.f64 n f)
n
f
(*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))
(-.f64 f n)
(/.f64 (-.f64 f n) (+.f64 f n))
(+.f64 f n)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
n
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
#s(literal -1 binary64)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+.f64 (/.f64 f n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 f n)
f
n
(/.f64 (-.f64 n f) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(-.f64 n f)
n
f
(*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))
(/.f64 (*.f64 (-.f64 n f) (-.f64 n f)) (+.f64 f n))
(-.f64 f n)
(/.f64 (-.f64 f n) (+.f64 f n))
(+.f64 f n)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
n
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
#s(literal -1 binary64)

localize46.0ms (0.5%)

Memory
17.9MiB live, 96.7MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) f)
✓accuracy99.9%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓accuracy100.0%
(+.f64 f n)
✓accuracy100.0%
(/.f64 (-.f64 n f) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
✓accuracy100.0%
(*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))
✓accuracy100.0%
(/.f64 (-.f64 f n) (+.f64 f n))
✓accuracy100.0%
(/.f64 f n)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 f n))
Samples
30.0ms256×0valid
Compiler

Compiled 71 to 18 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 7.0ms (42.4% of total)
ival-add: 3.0ms (18.2% of total)
ival-mult: 3.0ms (18.2% of total)
ival-sub: 2.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
12.2MiB live, 12.3MiB allocated
Counts
10 → 228
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) (/.f64 f n))>
#<alt (/.f64 f n)>
#<alt (/.f64 (-.f64 n f) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))>
#<alt (-.f64 n f)>
#<alt (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))>
#<alt (-.f64 f n)>
#<alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal -2 binary64) f)>
#<alt (/.f64 (-.f64 f n) (+.f64 f n))>
#<alt (+.f64 f n)>
Outputs
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (/ f n)>
#<alt (/ (+ f n) n)>
#<alt (/ (+ f n) n)>
#<alt (/ (+ f n) n)>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (+ (* -1 (/ f n)) (/ f n))) (* -2 (/ f n)))>
#<alt (- (+ 1 (+ (* -1 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))) (+ (* -2 (/ f n)) (+ (* -2 (/ (* f (- (+ f (* -1 f)) (* -2 f))) (pow n 2))) (/ (pow f 2) (pow n 2)))))>
#<alt (- (+ 1 (+ (* -1 (/ f n)) (+ (* -1 (/ (+ (* -2 (* f (- (* -1 (pow f 2)) (+ (* -2 (* f (- (+ f (* -1 f)) (* -2 f)))) (pow f 2))))) (* (pow f 2) (- (+ f (* -1 f)) (* -2 f)))) (pow n 3))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))))) (+ (* -2 (/ f n)) (+ (* -2 (/ (* f (- (+ f (* -1 f)) (* -2 f))) (pow n 2))) (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (+ (* -1 (/ n f)) (/ n f)) (+ 1 (* 2 (/ n f))))>
#<alt (- (+ (* -1 (/ n f)) (+ (/ n f) (/ (pow n 2) (pow f 2)))) (+ 1 (+ (* -2 (/ (* n (- (+ n (* -1 n)) (* 2 n))) (pow f 2))) (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))))))>
#<alt (- (+ (* -1 (/ n f)) (+ (* -1 (/ (+ (* -2 (* n (- (pow n 2) (+ (* -2 (* n (- (+ n (* -1 n)) (* 2 n)))) (* -1 (pow n 2)))))) (* (pow n 2) (- (+ n (* -1 n)) (* 2 n)))) (pow f 3))) (+ (/ n f) (/ (pow n 2) (pow f 2))))) (+ 1 (+ (* -2 (/ (* n (- (+ n (* -1 n)) (* 2 n))) (pow f 2))) (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt n>
#<alt (+ n (* -3 f))>
#<alt (+ n (* f (- (* 4 (/ f n)) 3)))>
#<alt (+ n (* f (- (* f (+ (* -4 (/ f (pow n 2))) (* 4 (/ 1 n)))) 3)))>
#<alt f>
#<alt (* f (- (+ 1 (* -2 (/ n f))) (/ n f)))>
#<alt (* f (- (+ 1 (+ (* -2 (/ n f)) (/ (pow n 2) (pow f 2)))) (+ (/ n f) (/ (* n (- (* -2 n) n)) (pow f 2)))))>
#<alt (* f (- (+ 1 (+ (* -2 (/ n f)) (+ (* -1 (/ (* n (- (pow n 2) (* n (- (* -2 n) n)))) (pow f 3))) (/ (pow n 2) (pow f 2))))) (+ (/ n f) (/ (* n (- (* -2 n) n)) (pow f 2)))))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ (- (* -2 n) n) f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ (- (+ (* -2 n) (* -1 (/ (- (* -1 (pow n 2)) (* -1 (* n (- (* -2 n) n)))) f))) n) f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ (- (+ (* -2 n) (* -1 (/ (- (+ (* -1 (/ (* n (- (* -1 (pow n 2)) (* -1 (* n (- (* -2 n) n))))) f)) (* -1 (pow n 2))) (* -1 (* n (- (* -2 n) n)))) f))) n) f)) 1)))>
#<alt f>
#<alt (+ f (* -3 n))>
#<alt (+ f (* n (- (* 4 (/ n f)) 3)))>
#<alt (+ f (* n (- (* n (+ (* -4 (/ n (pow f 2))) (* 4 (/ 1 f)))) 3)))>
#<alt n>
#<alt (* n (- (+ 1 (* -2 (/ f n))) (/ f n)))>
#<alt (* n (- (+ 1 (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))) (+ (/ f n) (/ (* f (- (* -2 f) f)) (pow n 2)))))>
#<alt (* n (- (+ 1 (+ (* -2 (/ f n)) (+ (* -1 (/ (* f (- (pow f 2) (* f (- (* -2 f) f)))) (pow n 3))) (/ (pow f 2) (pow n 2))))) (+ (/ f n) (/ (* f (- (* -2 f) f)) (pow n 2)))))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ (- (* -2 f) f) n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ (- (+ (* -2 f) (* -1 (/ (- (* -1 (pow f 2)) (* -1 (* f (- (* -2 f) f)))) n))) f) n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ (- (+ (* -2 f) (* -1 (/ (- (+ (* -1 (/ (* f (- (* -1 (pow f 2)) (* -1 (* f (- (* -2 f) f))))) n)) (* -1 (pow f 2))) (* -1 (* f (- (* -2 f) f)))) n))) f) n)) 1)))>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -2 (/ n f))>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt -1>
#<alt (- (* 2 (/ f n)) 1)>
#<alt (- (* f (+ (* -2 (/ f (pow n 2))) (* 2 (/ 1 n)))) 1)>
#<alt (- (* f (+ (* f (- (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))) 1)>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ n f))) (/ n f))>
#<alt (- (+ 1 (+ (* -1 (/ n f)) (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))))) (/ n f))>
#<alt (- (+ 1 (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3)))) (+ (/ n f) (/ (* n (- (* -1 n) n)) (pow f 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ n f))) (/ n f))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 n) n)) (/ (* n (- (* -1 n) n)) f)) f)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* -1 (* n (- (* -1 n) n))) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ n f)))>
#<alt (+ 1 (* n (- (* 2 (/ n (pow f 2))) (* 2 (/ 1 f)))))>
#<alt (+ 1 (* n (- (* n (+ (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))))>
#<alt -1>
#<alt (- (/ f n) (+ 1 (* -1 (/ f n))))>
#<alt (- (+ (* -1 (/ (* f (- f (* -1 f))) (pow n 2))) (/ f n)) (+ 1 (* -1 (/ f n))))>
#<alt (- (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3))) (+ 1 (+ (* -1 (/ f n)) (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 f) f) n)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 f) (* -1 (/ (* f (- (* -1 f) f)) n))) f) n)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* -1 (* f (- (* -1 f) f)))) n))) f) n)) 1)>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
Calls

57 calls:

TimeVariablePointExpression
0.0ms
f
@0
(/ -2 f)
0.0ms
f
@inf
(/ -2 f)
0.0ms
f
@0
(+ (* n (/ -2 f)) -1)
0.0ms
n
@0
(+ (* n (/ -2 f)) -1)
0.0ms
n
@inf
(+ (* n (/ -2 f)) -1)

rewrite351.0ms (3.7%)

Memory
-1.1MiB live, 517.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 470×lower-/.f32
4 462×lower-/.f64
4 098×lower-*.f32
4 096×lower-*.f64
3 892×lower-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01559
02659
112455
2101655
0881955
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 706
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 f n)
(/.f64 (-.f64 n f) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
(-.f64 n f)
(*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))
(-.f64 f n)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(/.f64 (-.f64 f n) (+.f64 f n))
(+.f64 f n)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+.f64 (/.f64 f n) #s(literal 1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (neg.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))
(-.f64 #s(literal 1 binary64) (/.f64 f (neg.f64 n)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (/.f64 f n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (neg.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))
(fma.f64 f (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 f n) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 f (neg.f64 n)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 n f))) #s(literal 1 binary64))
(fma.f64 (neg.f64 f) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 n f) #s(literal -1/2 binary64)) (pow.f64 (/.f64 n f) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (fma.f64 (/.f64 f n) (+.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (+.f64 #s(literal -1 binary64) (/.f64 f n)))
(/.f64 (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64)) (+.f64 (/.f64 f n) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 (*.f64 f f) (*.f64 n n)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 f n) (+.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n))))
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (fma.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) (*.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))))
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))))
(*.f64 (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 n f)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 f (neg.f64 n)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 f (neg.f64 n)))
(neg.f64 (/.f64 f (neg.f64 n)))
(/.f64 #s(literal 1 binary64) (/.f64 n f))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n f))))
(/.f64 f n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n f)))
(/.f64 (neg.f64 f) (neg.f64 n))
(pow.f64 (/.f64 n f) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 f n))
(*.f64 f (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 f n) #s(literal 1 binary64))
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 n f))))
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(/.f64 (+.f64 f n) #s(literal 1 binary64))
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(*.f64 (/.f64 (+.f64 f n) (/.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (-.f64 n f) (-.f64 f n)))

simplify722.0ms (7.7%)

Memory
-9.6MiB live, 546.8MiB allocated
Algorithm
1×egg-herbie
Rules
14 726×lower-fma.f64
14 726×lower-fma.f32
4 736×lower-*.f64
4 736×lower-*.f32
4 660×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04052017
112991791
242271715
088951589
Stop Event
1×iter limit
1×node limit
Counts
228 → 210
Calls
Call 1
Inputs
1
(+ 1 (/ f n))
(+ 1 (/ f n))
(+ 1 (/ f n))
(/ f n)
(* f (+ (/ 1 f) (/ 1 n)))
(* f (+ (/ 1 f) (/ 1 n)))
(* f (+ (/ 1 f) (/ 1 n)))
(/ f n)
(* f (+ (/ 1 f) (/ 1 n)))
(* f (+ (/ 1 f) (/ 1 n)))
(* f (+ (/ 1 f) (/ 1 n)))
(/ f n)
(/ (+ f n) n)
(/ (+ f n) n)
(/ (+ f n) n)
1
(+ 1 (/ f n))
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(+ 1 (/ f n))
1
(+ 1 (/ f n))
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(/ f n)
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(/ f n)
(/ f n)
(/ f n)
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(/ f n)
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(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
-1
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(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (+ (* -1 (/ f n)) (/ f n))) (* -2 (/ f n)))
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1
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1
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-1
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-1
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n
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n
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f
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(* f (- (+ 1 (+ (* -2 (/ n f)) (+ (* -1 (/ (* n (- (pow n 2) (* n (- (* -2 n) n)))) (pow f 3))) (/ (pow n 2) (pow f 2))))) (+ (/ n f) (/ (* n (- (* -2 n) n)) (pow f 2)))))
f
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(* -1 (* f (- (* -1 (/ (- (+ (* -2 n) (* -1 (/ (- (+ (* -1 (/ (* n (- (* -1 (pow n 2)) (* -1 (* n (- (* -2 n) n))))) f)) (* -1 (pow n 2))) (* -1 (* n (- (* -2 n) n)))) f))) n) f)) 1)))
f
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n
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(* n (- (+ 1 (+ (* -2 (/ f n)) (+ (* -1 (/ (* f (- (pow f 2) (* f (- (* -2 f) f)))) (pow n 3))) (/ (pow f 2) (pow n 2))))) (+ (/ f n) (/ (* f (- (* -2 f) f)) (pow n 2)))))
n
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1
(- (+ 1 (* -1 (/ n f))) (/ n f))
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(- (+ 1 (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3)))) (+ (/ n f) (/ (* n (- (* -1 n) n)) (pow f 2))))
1
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1
(+ 1 (* -2 (/ n f)))
(+ 1 (* n (- (* 2 (/ n (pow f 2))) (* 2 (/ 1 f)))))
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-1
(- (/ f n) (+ 1 (* -1 (/ f n))))
(- (+ (* -1 (/ (* f (- f (* -1 f))) (pow n 2))) (/ f n)) (+ 1 (* -1 (/ f n))))
(- (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3))) (+ 1 (+ (* -1 (/ f n)) (/ (* f (- f (* -1 f))) (pow n 2)))))
-1
(- (* -1 (/ (- (* -1 f) f) n)) 1)
(- (* -1 (/ (- (+ (* -1 f) (* -1 (/ (* f (- (* -1 f) f)) n))) f) n)) 1)
(- (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* -1 (* f (- (* -1 f) f)))) n))) f) n)) 1)
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(/ (+ f n) n)
(/.f64 (+.f64 f n) n)
(/ (+ f n) n)
(/.f64 (+.f64 f n) n)
(/ (+ f n) n)
(/.f64 (+.f64 f n) n)
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (+ (* -1 (/ f n)) (/ f n))) (* -2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(- (+ 1 (+ (* -1 (/ f n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))) (+ (* -2 (/ f n)) (+ (* -2 (/ (* f (- (+ f (* -1 f)) (* -2 f))) (pow n 2))) (/ (pow f 2) (pow n 2)))))
(-.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 f n) (/.f64 (*.f64 f (+.f64 f f)) (*.f64 n n))) (/.f64 (*.f64 f f) (*.f64 n n))))
(- (+ 1 (+ (* -1 (/ f n)) (+ (* -1 (/ (+ (* -2 (* f (- (* -1 (pow f 2)) (+ (* -2 (* f (- (+ f (* -1 f)) (* -2 f)))) (pow f 2))))) (* (pow f 2) (- (+ f (* -1 f)) (* -2 f)))) (pow n 3))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))))) (+ (* -2 (/ f n)) (+ (* -2 (/ (* f (- (+ f (* -1 f)) (* -2 f))) (pow n 2))) (/ (pow f 2) (pow n 2)))))
(+.f64 (neg.f64 (fma.f64 f (/.f64 f (*.f64 n n)) (/.f64 (fma.f64 f (neg.f64 (*.f64 (*.f64 f f) #s(literal 4 binary64))) (*.f64 f (*.f64 f (+.f64 f f)))) (*.f64 n (*.f64 n n))))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (+.f64 (/.f64 f n) (/.f64 (*.f64 f (+.f64 f f)) (*.f64 n n))) (/.f64 (*.f64 f f) (*.f64 n n)))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (fma.f64 f (*.f64 f (/.f64 (+.f64 f f) n)) (*.f64 f (+.f64 f f))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 f (fma.f64 f (/.f64 #s(literal 2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 f (fma.f64 f (+.f64 (/.f64 (+.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (+ (* -1 (/ n f)) (/ n f)) (+ 1 (* 2 (/ n f))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (+ (/ n f) (/ (pow n 2) (pow f 2)))) (+ 1 (+ (* -2 (/ (* n (- (+ n (* -1 n)) (* 2 n))) (pow f 2))) (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))))))
(-.f64 (fma.f64 n (/.f64 n (*.f64 f f)) #s(literal -1 binary64)) (fma.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) (/.f64 n f)) (/.f64 (*.f64 n #s(literal -3 binary64)) f) (/.f64 (+.f64 n n) f)))
(- (+ (* -1 (/ n f)) (+ (* -1 (/ (+ (* -2 (* n (- (pow n 2) (+ (* -2 (* n (- (+ n (* -1 n)) (* 2 n)))) (* -1 (pow n 2)))))) (* (pow n 2) (- (+ n (* -1 n)) (* 2 n)))) (pow f 3))) (+ (/ n f) (/ (pow n 2) (pow f 2))))) (+ 1 (+ (* -2 (/ (* n (- (+ n (* -1 n)) (* 2 n))) (pow f 2))) (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))))))
(+.f64 (fma.f64 n (/.f64 n (*.f64 f f)) (/.f64 (fma.f64 n (*.f64 n (+.f64 n n)) (neg.f64 (neg.f64 (*.f64 (+.f64 n n) (-.f64 (*.f64 n (+.f64 n n)) (*.f64 (*.f64 n n) #s(literal 4 binary64))))))) (*.f64 f (*.f64 f f)))) (-.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) (/.f64 n f)) (/.f64 (*.f64 n #s(literal -3 binary64)) f) (/.f64 (+.f64 n n) f))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 n n) (/.f64 n f) n)) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 n (/.f64 (*.f64 n (+.f64 n n)) f) (*.f64 n (+.f64 n n))) f) (+.f64 n n)) f))
(* -1 f)
(neg.f64 f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
n
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (*.f64 n (/.f64 f n)))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (*.f64 n (/.f64 f n)))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (*.f64 n (/.f64 f n)))
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (*.f64 n (/.f64 f n)))
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (*.f64 n (/.f64 f n)))
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (*.f64 n (/.f64 f n)))
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(-.f64 (*.f64 f (/.f64 n f)) f)
(* f (- (/ n f) 1))
(-.f64 (*.f64 f (/.f64 n f)) f)
(* f (- (/ n f) 1))
(-.f64 (*.f64 f (/.f64 n f)) f)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 (*.f64 f (/.f64 n f)) f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 (*.f64 f (/.f64 n f)) f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 (*.f64 f (/.f64 n f)) f)
n
(+ n (* -3 f))
(fma.f64 f #s(literal -3 binary64) n)
(+ n (* f (- (* 4 (/ f n)) 3)))
(fma.f64 f (fma.f64 f (/.f64 #s(literal 4 binary64) n) #s(literal -3 binary64)) n)
(+ n (* f (- (* f (+ (* -4 (/ f (pow n 2))) (* 4 (/ 1 n)))) 3)))
(fma.f64 f (fma.f64 f (fma.f64 (/.f64 f (*.f64 n n)) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) n)) #s(literal -3 binary64)) n)
f
(* f (- (+ 1 (* -2 (/ n f))) (/ n f)))
(fma.f64 f (/.f64 (*.f64 n #s(literal -3 binary64)) f) f)
(* f (- (+ 1 (+ (* -2 (/ n f)) (/ (pow n 2) (pow f 2)))) (+ (/ n f) (/ (* n (- (* -2 n) n)) (pow f 2)))))
(*.f64 f (-.f64 (fma.f64 n (/.f64 n (*.f64 f f)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64))) (fma.f64 (*.f64 n #s(literal -3 binary64)) (/.f64 n (*.f64 f f)) (/.f64 n f))))
(* f (- (+ 1 (+ (* -2 (/ n f)) (+ (* -1 (/ (* n (- (pow n 2) (* n (- (* -2 n) n)))) (pow f 3))) (/ (pow n 2) (pow f 2))))) (+ (/ n f) (/ (* n (- (* -2 n) n)) (pow f 2)))))
(fma.f64 f (-.f64 (fma.f64 n (/.f64 n (*.f64 f f)) (neg.f64 (fma.f64 (*.f64 n (+.f64 n (*.f64 n #s(literal 3 binary64)))) (/.f64 n (*.f64 f (*.f64 f f))) (/.f64 (+.f64 n n) f)))) (fma.f64 (*.f64 n #s(literal -3 binary64)) (/.f64 n (*.f64 f f)) (/.f64 n f))) f)
f
(* -1 (* f (- (* -1 (/ (- (* -2 n) n) f)) 1)))
(fma.f64 f (/.f64 (*.f64 n #s(literal -3 binary64)) f) f)
(* -1 (* f (- (* -1 (/ (- (+ (* -2 n) (* -1 (/ (- (* -1 (pow n 2)) (* -1 (* n (- (* -2 n) n)))) f))) n) f)) 1)))
(*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 n (+.f64 n (*.f64 n #s(literal 3 binary64)))) f) (*.f64 n #s(literal -3 binary64))) f)))
(* -1 (* f (- (* -1 (/ (- (+ (* -2 n) (* -1 (/ (- (+ (* -1 (/ (* n (- (* -1 (pow n 2)) (* -1 (* n (- (* -2 n) n))))) f)) (* -1 (pow n 2))) (* -1 (* n (- (* -2 n) n)))) f))) n) f)) 1)))
(fma.f64 (neg.f64 f) (/.f64 (+.f64 (/.f64 (fma.f64 n (*.f64 n #s(literal -3 binary64)) (*.f64 n (-.f64 (/.f64 (*.f64 n (+.f64 n (*.f64 n #s(literal 3 binary64)))) f) n))) f) (*.f64 n #s(literal 3 binary64))) f) f)
f
(+ f (* -3 n))
(fma.f64 n #s(literal -3 binary64) f)
(+ f (* n (- (* 4 (/ n f)) 3)))
(fma.f64 n (fma.f64 n (/.f64 #s(literal 4 binary64) f) #s(literal -3 binary64)) f)
(+ f (* n (- (* n (+ (* -4 (/ n (pow f 2))) (* 4 (/ 1 f)))) 3)))
(fma.f64 n (fma.f64 n (fma.f64 (/.f64 n (*.f64 f f)) #s(literal -4 binary64) (/.f64 #s(literal 4 binary64) f)) #s(literal -3 binary64)) f)
n
(* n (- (+ 1 (* -2 (/ f n))) (/ f n)))
(fma.f64 n (/.f64 (*.f64 f #s(literal -3 binary64)) n) n)
(* n (- (+ 1 (+ (* -2 (/ f n)) (/ (pow f 2) (pow n 2)))) (+ (/ f n) (/ (* f (- (* -2 f) f)) (pow n 2)))))
(fma.f64 n (fma.f64 f (/.f64 f (*.f64 n n)) (fma.f64 f (/.f64 #s(literal -2 binary64) n) (-.f64 (/.f64 (*.f64 f (*.f64 f #s(literal 3 binary64))) (*.f64 n n)) (/.f64 f n)))) n)
(* n (- (+ 1 (+ (* -2 (/ f n)) (+ (* -1 (/ (* f (- (pow f 2) (* f (- (* -2 f) f)))) (pow n 3))) (/ (pow f 2) (pow n 2))))) (+ (/ f n) (/ (* f (- (* -2 f) f)) (pow n 2)))))
(fma.f64 n (-.f64 (fma.f64 (neg.f64 (*.f64 f (-.f64 f (*.f64 f #s(literal -3 binary64))))) (/.f64 f (*.f64 n (*.f64 n n))) (fma.f64 f (/.f64 f (*.f64 n n)) (*.f64 (/.f64 f n) #s(literal -2 binary64)))) (fma.f64 (*.f64 f #s(literal -3 binary64)) (/.f64 f (*.f64 n n)) (/.f64 f n))) n)
n
(* -1 (* n (- (* -1 (/ (- (* -2 f) f) n)) 1)))
(fma.f64 n (/.f64 (*.f64 f #s(literal -3 binary64)) n) n)
(* -1 (* n (- (* -1 (/ (- (+ (* -2 f) (* -1 (/ (- (* -1 (pow f 2)) (* -1 (* f (- (* -2 f) f)))) n))) f) n)) 1)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 f #s(literal -3 binary64)))) n) (*.f64 f #s(literal -3 binary64))) n)))
(* -1 (* n (- (* -1 (/ (- (+ (* -2 f) (* -1 (/ (- (+ (* -1 (/ (* f (- (* -1 (pow f 2)) (* -1 (* f (- (* -2 f) f))))) n)) (* -1 (pow f 2))) (* -1 (* f (- (* -2 f) f)))) n))) f) n)) 1)))
(fma.f64 (neg.f64 n) (/.f64 (+.f64 (/.f64 (fma.f64 f (*.f64 f #s(literal -3 binary64)) (*.f64 f (-.f64 (/.f64 (*.f64 f (-.f64 f (*.f64 f #s(literal -3 binary64)))) n) f))) n) (*.f64 f #s(literal 3 binary64))) n) n)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f (*.f64 f (/.f64 n f)))
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f (*.f64 f (/.f64 n f)))
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f (*.f64 f (/.f64 n f)))
f
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (*.f64 f (/.f64 n f)))
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (*.f64 f (/.f64 n f)))
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (*.f64 f (/.f64 n f)))
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(* -1 n)
(neg.f64 n)
(* n (- (/ f n) 1))
(-.f64 (*.f64 n (/.f64 f n)) n)
(* n (- (/ f n) 1))
(-.f64 (*.f64 n (/.f64 f n)) n)
(* n (- (/ f n) 1))
(-.f64 (*.f64 n (/.f64 f n)) n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (*.f64 n (/.f64 f n)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (*.f64 n (/.f64 f n)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (*.f64 n (/.f64 f n)) n)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(/ (+ (* -2 n) (* -1 f)) f)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/ (+ (* -2 n) (* -1 f)) f)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/ (+ (* -2 n) (* -1 f)) f)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
-1
#s(literal -1 binary64)
(- (* 2 (/ f n)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 f f) n))
(- (* f (+ (* -2 (/ f (pow n 2))) (* 2 (/ 1 n)))) 1)
(fma.f64 f (fma.f64 f (/.f64 #s(literal -2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))
(- (* f (+ (* f (- (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))) 1)
(fma.f64 f (fma.f64 f (+.f64 (/.f64 (+.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ n f))) (/ n f))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ n f)) (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))))) (/ n f))
(fma.f64 n (fma.f64 n (/.f64 #s(literal 2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3)))) (+ (/ n f) (/ (* n (- (* -1 n) n)) (pow f 2))))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f (*.f64 f f))) (/.f64 #s(literal 2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ n f))) (/ n f))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 n) n)) (/ (* n (- (* -1 n) n)) f)) f)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n #s(literal -2 binary64) (/.f64 (*.f64 n (+.f64 n n)) f)) f))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* -1 (* n (- (* -1 n) n))) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 n (+.f64 n n) (*.f64 n (/.f64 (*.f64 n (-.f64 (neg.f64 n) n)) f))) f) (+.f64 n n)) f))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ n f)))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64))
(+ 1 (* n (- (* 2 (/ n (pow f 2))) (* 2 (/ 1 f)))))
(fma.f64 n (fma.f64 n (/.f64 #s(literal 2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal 1 binary64))
(+ 1 (* n (- (* n (+ (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))))
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f (*.f64 f f))) (/.f64 #s(literal 2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (/ f n) (+ 1 (* -1 (/ f n))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 f f) n))
(- (+ (* -1 (/ (* f (- f (* -1 f))) (pow n 2))) (/ f n)) (+ 1 (* -1 (/ f n))))
(fma.f64 f (fma.f64 f (/.f64 #s(literal -2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))
(- (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3))) (+ 1 (+ (* -1 (/ f n)) (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 f (/.f64 (*.f64 f (+.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 f (fma.f64 f (/.f64 #s(literal -2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 f) f) n)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 f f) n))
(- (* -1 (/ (- (+ (* -1 f) (* -1 (/ (* f (- (* -1 f) f)) n))) f) n)) 1)
(fma.f64 f (fma.f64 f (/.f64 #s(literal -2 binary64) (*.f64 n n)) (/.f64 #s(literal 2 binary64) n)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* -1 (* f (- (* -1 f) f)))) n))) f) n)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 f (+.f64 f (/.f64 (-.f64 (*.f64 f (*.f64 f (/.f64 (+.f64 f f) n))) (*.f64 f (+.f64 f f))) n))) n))
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
f
(* f (+ 1 (/ n f)))
(fma.f64 f (/.f64 n f) f)
(* f (+ 1 (/ n f)))
(fma.f64 f (/.f64 n f) f)
(* f (+ 1 (/ n f)))
(fma.f64 f (/.f64 n f) f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 f (/.f64 n f) f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 f (/.f64 n f) f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 f (/.f64 n f) f)
f
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
n
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)

eval860.0ms (9.2%)

Memory
23.7MiB live, 247.9MiB allocated
Compiler

Compiled 26 954 to 2 755 computations (89.8% saved)

prune262.0ms (2.8%)

Memory
9.1MiB live, 209.2MiB allocated
Pruning

11 alts after pruning (1 fresh and 10 done)

PrunedKeptTotal
New1 00911 010
Fresh000
Picked033
Done077
Total1 009111 020
Accuracy
100.0%
Counts
1 020 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓54.0%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓100.0%
(/.f64 (-.f64 n f) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
✓48.2%
(/.f64 (+.f64 n (+.f64 f f)) n)
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
47.4%
(/.f64 (+.f64 f n) n)
✓48.0%
(/.f64 (neg.f64 n) (-.f64 f n))
✓53.8%
(/.f64 (neg.f64 f) (-.f64 f n))
✓53.7%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓47.4%
(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓46.8%
#s(literal 1 binary64)
✓52.9%
#s(literal -1 binary64)
Compiler

Compiled 204 to 89 computations (56.4% saved)

regimes32.0ms (0.3%)

Memory
-16.9MiB live, 24.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (+.f64 f n) n)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n (+.f64 f f)) n)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(/.f64 (-.f64 n f) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) (+.f64 f n))) (-.f64 f n)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n))))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

3 calls:

23.0ms
n
5.0ms
f
4.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
100.0%1f
100.0%1n
100.0%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes9.0ms (0.1%)

Memory
12.9MiB live, 12.9MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (+.f64 f n) n)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
Calls

3 calls:

3.0ms
f
3.0ms
n
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
78.0%3f
78.9%3n
98.9%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (+.f64 f n) n)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (neg.f64 n) (-.f64 f n))
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.1%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
4.9MiB live, 4.9MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (+.f64 f n) n)
(/.f64 (neg.f64 f) (-.f64 f n))
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (+.f64 f n) n)
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.1%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes10.0ms (0.1%)

Memory
-34.2MiB live, 4.6MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
Calls

1 calls:

9.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.1%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
3.9MiB live, 3.9MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
Outputs
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.1%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes1.0ms (0%)

Memory
3.2MiB live, 3.2MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
98.1%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory
9.3MiB live, 9.3MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
Outputs
#s(literal -1 binary64)
Calls

3 calls:

1.0ms
n
1.0ms
f
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
52.9%1f
52.9%1n
52.9%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999597
0.9997198688517466
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999597
0.9997198688517466
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999597
0.9997198688517466
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999597
0.9997198688517466
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999999999597
0.9997198688517466
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch15.0ms (0.2%)

Memory
-6.5MiB live, 31.2MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-0.9999999999999597
0.9997198688517466
Samples
4.0ms240×0valid
Compiler

Compiled 133 to 131 computations (1.5% 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)

simplify18.0ms (0.2%)

Memory
-3.5MiB live, 34.2MiB allocated
Algorithm
1×egg-herbie
Rules
94×distribute-lft-neg-in_binary64
92×unsub-neg_binary64
68×neg-mul-1_binary64
50×neg-sub0_binary64
44×cancel-sign-sub_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030125
150125
272125
388118
4105118
5143118
6197118
7269118
8338118
9370118
10381118
11382118
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (neg.f64 n) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (+.f64 f n) n))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (neg.f64 n) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n (-.f64 n f)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (+.f64 f n) n))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 (+.f64 f n) n))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness1.0s (10.8%)

Memory
-17.5MiB live, 854.0MiB allocated
Rules
14 778×lower-fma.f64
14 778×lower-fma.f32
14 726×lower-fma.f64
14 726×lower-fma.f32
10 898×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0618
01018
14618
232717
0553017
04912421
115502154
249762079
081791941
04052017
112991791
242271715
088951589
02641621
17971575
222541472
365441464
082651379
0145539
1448504
21334469
35180459
08647432
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 270 to 128 computations (52.6% saved)

preprocess40.0ms (0.4%)

Memory
19.0MiB live, 135.7MiB allocated
Compiler

Compiled 260 to 64 computations (75.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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