subtraction fraction

Time bar (total: 7.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze14.0ms (0.2%)

Memory
-20.0MiB live, 16.2MiB allocated
Algorithm
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)

sample620.0ms (8%)

Memory
36.2MiB live, 754.5MiB allocated
Samples
382.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-div: 55.0ms (27.9% of total)
ival-add: 52.0ms (26.4% of total)
ival-sub: 42.0ms (21.3% of total)
ival-neg: 39.0ms (19.8% of total)
ival-true: 6.0ms (3% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

explain61.0ms (0.8%)

Memory
22.6MiB live, 108.8MiB 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
24.0ms512×0valid
Compiler

Compiled 54 to 22 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 3.0ms (25.9% of total)
ival-div: 3.0ms (25.9% of total)
ival-add: 3.0ms (25.9% of total)
ival-neg: 2.0ms (17.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess76.0ms (1%)

Memory
8.6MiB live, 85.7MiB allocated
Algorithm
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
iter limit
saturated
iter limit
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))
Compiler

Compiled 10 to 6 computations (40% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.7MiB live, 0.7MiB 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)

simplify28.0ms (0.4%)

Memory
-25.1MiB live, 13.1MiB allocated
Algorithm
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
iter limit
saturated
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)

localize18.0ms (0.2%)

Memory
20.0MiB live, 20.0MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 f n)
accuracy0
(+.f64 f n)
accuracy0
(neg.f64 (+.f64 f n))
accuracy0.021816259768442016
(/.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 (35.6% of total)
ival-sub: 1.0ms (17.8% of total)
ival-add: 1.0ms (17.8% of total)
ival-neg: 1.0ms (17.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.5MiB live, 6.5MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())
#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())
#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1) (taylor inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(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) (taylor inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor -inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1) (taylor -inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1) (taylor -inf f) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 1) (taylor 0 n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n)))) (taylor inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(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))))) (taylor inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n))) (taylor -inf n) (#s(alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) (patch (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor 0 f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor -inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 n) f) (taylor 0 n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 n) f) (taylor 0 n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 n) f) (taylor 0 n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt n (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor 0 f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (- f n) (taylor 0 f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (- f n) (taylor 0 f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (- f n) (taylor 0 f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (* -1 (/ n f)))) (taylor inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (* -1 (/ n f)))) (taylor inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (* -1 (/ n f)))) (taylor inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor -inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (/ n f) 1))) (taylor -inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (/ n f) 1))) (taylor -inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (/ n f) 1))) (taylor -inf f) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor 0 n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f (* -1 n)) (taylor 0 n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f (* -1 n)) (taylor 0 n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f (* -1 n)) (taylor 0 n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (- (/ f n) 1)) (taylor inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (- (/ f n) 1)) (taylor inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (- (/ f n) 1)) (taylor inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (* -1 (/ f n))))) (taylor -inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (* -1 (/ f n))))) (taylor -inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (* -1 (/ f n))))) (taylor -inf n) (#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())) ())
Calls

24 calls:

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

simplify594.0ms (7.6%)

Memory
-42.9MiB live, 251.7MiB allocated
Algorithm
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
iter limit
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)

rewrite195.0ms (2.5%)

Memory
18.6MiB live, 296.4MiB allocated
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
iter limit
iter limit
node limit
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 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 f f)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 n (+.f64 f n))))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 n (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (fma.f64 n n (*.f64 f f))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.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 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)))))
(+.f64 (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)))))
(+.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.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 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)))))
(fma.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.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 n n (*.f64 f f)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)))))
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(/.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (fma.f64 n (+.f64 f n) (*.f64 f f)))
(/.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (neg.f64 (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)))))
(/.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 f (neg.f64 n)))))
(/.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (*.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f))))
(/.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 f n)) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 f n))
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (-.f64 (neg.f64 f) n))
(/.f64 (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)) (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f))))
(/.f64 (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)))))
(/.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 (fma.f64 n (+.f64 f n) (*.f64 f f)) (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 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))))
(/.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (*.f64 (+.f64 f n) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f))))))
(/.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (+.f64 f n) (fma.f64 n n (*.f64 f f))))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (-.f64 (*.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f))))
(/.f64 (-.f64 (*.f64 (*.f64 f f) (+.f64 f n)) (*.f64 (+.f64 f n) (*.f64 n n))) (*.f64 (+.f64 f n) (+.f64 f n)))
(/.f64 (*.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) #s(literal 1 binary64)) (fma.f64 n (+.f64 f n) (*.f64 f f)))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (+.f64 f n))
(/.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))))) #s(literal 1 binary64)) (*.f64 (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))))) (fma.f64 n (+.f64 f n) (*.f64 f f))))
(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) #s(literal 1 binary64)) (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (fma.f64 n (+.f64 f n) (*.f64 f f))))
(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) #s(literal 1 binary64)) (*.f64 (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)))) (+.f64 f n)))
(/.f64 (*.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (*.f64 (+.f64 f n) (-.f64 f n))) #s(literal 1 binary64)) (*.f64 (fma.f64 n n (*.f64 f f)) (+.f64 f n)))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 n (+.f64 f n) (*.f64 f f))))
(/.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 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)))))
(/.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 n (-.f64 n f) (*.f64 f 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 n (+.f64 f n) (*.f64 f f)))) (fma.f64 n (+.f64 f n) (*.f64 f f)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f))))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 n (-.f64 n f) (*.f64 f 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 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (fma.f64 n (+.f64 f n) (*.f64 f f)))
(/.f64 (neg.f64 (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 n f))) (neg.f64 (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)))))
(/.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 n (+.f64 f n) (*.f64 f f))) #s(literal 1 binary64))) (fma.f64 n (+.f64 f n) (*.f64 f f)))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (*.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f)))))))
(/.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 n (+.f64 f n) (*.f64 f f))) (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (*.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f))))) (fma.f64 (*.f64 f f) (/.f64 f (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 f n) (*.f64 f f)))))
(/.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 n (-.f64 n f) (*.f64 f 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 n (+.f64 f n) (*.f64 f f)))) (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 n (+.f64 f n) (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (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 n (+.f64 f n) (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)))))
(/.f64 (*.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (fma.f64 n n (*.f64 f f)))
(/.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 n (-.f64 n f) (*.f64 f 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 n (+.f64 f n) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f))))
(*.f64 (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f))) #s(literal 1 binary64)))
(*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (/.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))))
(*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (*.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))))
(*.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 n (+.f64 f n) (*.f64 f f)) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)))))
(*.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 n (+.f64 f n) (*.f64 f f))) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f))))
(*.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 n (-.f64 n f) (*.f64 f 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 n (+.f64 f n) (*.f64 f f))) #s(literal 1 binary64))) (/.f64 (-.f64 f n) (fma.f64 n (+.f64 f n) (*.f64 f f))))
(*.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 n (-.f64 n f) (*.f64 f 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 n (-.f64 n f) (*.f64 f 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 n (+.f64 f n) (*.f64 f f))) (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 n (+.f64 f n) (*.f64 f f))) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.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 n (-.f64 n f) (*.f64 f 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)))

eval81.0ms (1%)

Memory
-10.5MiB live, 218.8MiB allocated
Compiler

Compiled 16 019 to 1 649 computations (89.7% saved)

prune104.0ms (1.3%)

Memory
-6.8MiB live, 212.5MiB 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
100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
52.9%
(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))))
50.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
50.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
49.9%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
50.7%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
49.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
49.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 200 to 110 computations (45% saved)

simplify610.0ms (7.8%)

Memory
23.4MiB live, 176.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
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
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
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
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
cost-diff0
(-.f64 f n)
cost-diff0
(neg.f64 f)
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 f))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
cost-diff0
(-.f64 n f)
cost-diff0
(+.f64 f n)
cost-diff0
(/.f64 (+.f64 f n) (-.f64 n f))
Rules
7 448×lower-fma.f32
7 444×lower-fma.f64
2 088×lower-*.f64
2 088×lower-*.f32
1 560×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026131
041131
171131
2134128
3278128
4536128
51461128
63893128
75737128
86423128
96554128
106583128
116601128
126605128
136646128
146762128
156765128
166765128
177205128
187433128
197467128
207467128
217467128
227467128
237507128
247764128
07764126
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
f
n
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
(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)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
(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(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
(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)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (+.f64 f f) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(fma.f64 (+.f64 f f) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) 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)

localize67.0ms (0.9%)

Memory
-1.6MiB live, 107.2MiB allocated
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 f f)
accuracy0.00390625
(+.f64 #s(literal 1 binary64) (/.f64 f n))
accuracy0.11166000976844202
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
accuracy32.07641413076949
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
accuracy0
(/.f64 #s(literal -2 binary64) f)
accuracy0.125
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
accuracy31.52082702082772
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
accuracy0
(-.f64 f n)
accuracy0
(neg.f64 f)
accuracy0.021816259768442016
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy31.58894666923361
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy32.29538994321997
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0
(-.f64 n f)
accuracy0
(+.f64 f n)
accuracy0.021816259768442016
(/.f64 (+.f64 f n) (-.f64 n f))
Samples
41.0ms256×0valid
Compiler

Compiled 107 to 23 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 8.0ms (33.1% of total)
ival-add: 8.0ms (33.1% of total)
ival-mult: 3.0ms (12.4% of total)
ival-sub: 2.0ms (8.3% of total)
ival-neg: 2.0ms (8.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.5%)

Memory
-24.9MiB live, 27.5MiB allocated
Counts
16 → 348
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())
#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())
#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())
#s(alt #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) (patch #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #<representation binary64>) () ())
#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())
#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())
#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())
#s(alt #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) (patch (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -2 binary64) f) (patch (/.f64 #s(literal -2 binary64) f) #<representation binary64>) () ())
#s(alt #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (patch #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())
#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) (taylor inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) (taylor inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* -2 (/ n f)) 1) (taylor 0 n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n))) (taylor inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2))))) (taylor inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 f n) (-.f64 n f)) (patch (/.f64 (+.f64 f n) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* f (+ 1 (/ n f))) (taylor inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (- (* -1 (/ n f)) 1))) (taylor -inf f) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt f (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt n (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (/ f n))) (taylor inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (- n f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (- n f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (- n f) (taylor 0 n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt n (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* f (- (/ n f) 1)) (taylor inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (* -1 (/ n f))))) (taylor -inf f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
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#s(alt (* 2 (/ f n)) (taylor inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ f n)) (taylor inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ f n)) (taylor -inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ f n)) (taylor -inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ f n)) (taylor -inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ f n)) (taylor -inf n) (#s(alt (/.f64 (+.f64 f f) n) (patch (/.f64 (+.f64 f f) n) #<representation binary64>) () ())) ())
#s(alt (* 2 f) (taylor 0 f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ())
#s(alt (* 2 f) (taylor 0 f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ())
#s(alt (* 2 f) (taylor 0 f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ())
#s(alt (* 2 f) (taylor 0 f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ())
#s(alt (* 2 f) (taylor inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ())
#s(alt (* 2 f) (taylor inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ())
#s(alt (* 2 f) (taylor inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ())
#s(alt (* 2 f) (taylor inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ())
#s(alt (* 2 f) (taylor -inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ())
#s(alt (* 2 f) (taylor -inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ())
#s(alt (* 2 f) (taylor -inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ())
#s(alt (* 2 f) (taylor -inf f) (#s(alt (+.f64 f f) (patch (+.f64 f f) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor 0 f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor 0 f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor 0 f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ f n) (taylor inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (+ (/ 1 f) (/ 1 n))) (taylor inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (+ (/ 1 f) (/ 1 n))) (taylor inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (+ (/ 1 f) (/ 1 n))) (taylor inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ f n) (taylor -inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (+ (/ 1 f) (/ 1 n))) (taylor -inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (+ (/ 1 f) (/ 1 n))) (taylor -inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* f (+ (/ 1 f) (/ 1 n))) (taylor -inf f) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ f n) (taylor 0 n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ f n) n) (taylor 0 n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ f n) n) (taylor 0 n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ f n) n) (taylor 0 n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor -inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor -inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (/ f n)) (taylor -inf n) (#s(alt (+.f64 #s(literal 1 binary64) (/.f64 f n)) (patch (+.f64 #s(literal 1 binary64) (/.f64 f n)) #<representation binary64>) () ())) ())
Calls

87 calls:

TimeVariablePointExpression
1.0ms
f
@inf
(+ (* (/ (+ f f) n) (+ 1 (/ f n))) 1)
1.0ms
n
@inf
(/ (+ f n) (- n f))
1.0ms
f
@0
(+ (* n (/ -2 f)) -1)
0.0ms
f
@inf
(/ (+ f f) n)
0.0ms
n
@inf
(+ (* n (/ -2 f)) -1)

simplify280.0ms (3.6%)

Memory
20.0MiB live, 491.3MiB allocated
Algorithm
egg-herbie
Rules
13 906×lower-fma.f64
13 906×lower-fma.f32
3 062×lower--.f64
3 062×lower--.f32
3 002×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02422803
17622497
223762260
367102260
080742071
Stop Event
iter limit
node limit
Counts
348 → 336
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)))))
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
(+ 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))))
(* -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 (* 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
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(/ -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 (+ (* 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
(+ 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)))
(* 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 (/ 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))
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 #s(literal 2 binary64) (/.f64 (+.f64 f 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 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)))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n 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 (/ (- 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)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #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)
(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 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n 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 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #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 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #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)
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 #s(literal 2 binary64) (/.f64 (+.f64 f 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 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 (* -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 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n 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 (/ 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 (+.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)
(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 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n 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 (/ (- (* -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 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f 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)))))
(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 (* -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 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f 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 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) 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 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f 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 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 (* -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 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n 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 (/ 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 (+.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)
(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 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n 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 (/ (- (* -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 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f 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)))))
(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 (* -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 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f 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 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) 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)
(* -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 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f 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 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 (* -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 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n 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 (/ 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 (+.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)
(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 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n 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 (/ (- (* -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 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f 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)))))
(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 (* -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 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f 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 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) 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 (/.f64 n f) #s(literal -2 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))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -2 (/ n f))
(*.f64 (/.f64 n f) #s(literal -2 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))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -2 (/ n f))
(*.f64 (/.f64 n f) #s(literal -2 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))
(/ (+ (* -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)
(+ 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 #s(literal 2 binary64) (/.f64 (+.f64 f 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 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 (* -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 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n 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 (/ 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 (+.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)
(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 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n 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 (/ (- (* -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 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f 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)))))
(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 (* -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 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f 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 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) 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 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f 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))
(* (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 n n (*.f64 (+.f64 f f) (+.f64 f n))) (*.f64 n n))
(/ (+ (* 2 (pow f 2)) (* n (+ n (* 2 f)))) (pow n 2))
(/.f64 (fma.f64 n n (*.f64 (+.f64 f f) (+.f64 f 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 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64))
(+ 1 (+ (* 2 (/ f n)) (* 2 (/ (pow f 2) (pow n 2)))))
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #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 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -2 f) (* -2 (/ (pow f 2) n))) n)))
(fma.f64 (/.f64 f n) (+.f64 #s(literal 2 binary64) (/.f64 (+.f64 f f) n)) #s(literal 1 binary64))
(* 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 (/ 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))

rewrite421.0ms (5.4%)

Memory
22.4MiB live, 448.2MiB allocated
Rules
5 028×lower-/.f32
5 018×lower-/.f64
4 610×lower-*.f64
4 610×lower-*.f32
2 714×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
026116
041116
1170116
21436116
08305116
Stop Event
iter limit
node limit
iter limit
Counts
16 → 489
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
(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)
(+.f64 #s(literal 1 binary64) (/.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) (neg.f64 (-.f64 n f))) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 n f))) (/.f64 (-.f64 f (neg.f64 n)) (neg.f64 (-.f64 n f))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 n f)) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 n f)))
(-.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 (*.f64 f f) (-.f64 f n)) (neg.f64 (neg.f64 (-.f64 n f)))) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (neg.f64 (neg.f64 (-.f64 n f)))))
(-.f64 (/.f64 (neg.f64 f) (neg.f64 (-.f64 n f))) (/.f64 n (neg.f64 (-.f64 n f))))
(-.f64 (/.f64 (neg.f64 n) (neg.f64 (-.f64 n f))) (/.f64 f (neg.f64 (-.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 (neg.f64 n) f) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 f n) (neg.f64 (neg.f64 (-.f64 n f))))
(/.f64 (-.f64 (neg.f64 n) f) (neg.f64 (-.f64 n f)))
(/.f64 (-.f64 (neg.f64 n) f) (neg.f64 (neg.f64 (neg.f64 (-.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 #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 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 n f) (-.f64 f n)))
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(/.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)) (neg.f64 (fma.f64 f f #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f))) (fma.f64 f f #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f))) (neg.f64 (fma.f64 f f #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f))) (neg.f64 (neg.f64 (fma.f64 f f #s(literal 0 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 f f) #s(literal 0 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 f f))) #s(literal 0 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)))) (neg.f64 (fma.f64 f f #s(literal 0 binary64))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)))) (neg.f64 (neg.f64 (fma.f64 f f #s(literal 0 binary64)))))
(/.f64 (fma.f64 (neg.f64 f) (*.f64 f f) (neg.f64 (*.f64 f (*.f64 f f)))) (fma.f64 f f #s(literal 0 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (+.f64 f f) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 f f) (+.f64 f f) (*.f64 #s(literal 0 binary64) (+.f64 f f)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 f f) #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 f f) #s(literal 0 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 f f) #s(literal 0 binary64)) (/.f64 (*.f64 f f) #s(literal 0 binary64)) (fma.f64 (/.f64 (*.f64 f f) #s(literal 0 binary64)) (/.f64 (*.f64 f f) #s(literal 0 binary64)) (*.f64 (/.f64 (*.f64 f f) #s(literal 0 binary64)) (/.f64 (*.f64 f f) #s(literal 0 binary64))))))
(pow.f64 (+.f64 f f) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 f f #s(literal 0 binary64)) (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f))) #s(literal -1 binary64))
(*.f64 f #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 f f))
(*.f64 #s(literal -2 binary64) f)
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) #s(literal 0 binary64)))
(*.f64 #s(literal 2 binary64) f)
(*.f64 #s(literal 2 binary64) (neg.f64 f))
(*.f64 (*.f64 (fma.f64 f f #s(literal 0 binary64)) (+.f64 f f)) (/.f64 #s(literal 1 binary64) (fma.f64 f f #s(literal 0 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 #s(literal -1 binary64) (/.f64 f (neg.f64 n)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 f) 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 (*.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) 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) (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 #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 (-.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))))
(*.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))))

eval139.0ms (1.8%)

Memory
-13.0MiB live, 236.5MiB allocated
Compiler

Compiled 15 173 to 1 443 computations (90.5% saved)

prune116.0ms (1.5%)

Memory
10.5MiB live, 169.8MiB allocated
Pruning

10 alts after pruning (5 fresh and 5 done)

PrunedKeptTotal
New8232825
Fresh134
Picked055
Done000
Total82410834
Accuracy
100.0%
Counts
834 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
50.1%
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
52.9%
(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))))
50.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
50.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
49.5%
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
49.9%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
50.7%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
49.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 172 to 93 computations (45.9% saved)

simplify231.0ms (3%)

Memory
-0.5MiB live, 285.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 f n)
cost-diff0
(neg.f64 (+.f64 f n))
cost-diff128
(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))))
cost-diff1600
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))
cost-diff0
(neg.f64 f)
cost-diff0
#s(approx (- n f) (neg.f64 f))
cost-diff0
(+.f64 f n)
cost-diff0
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
cost-diff0
(-.f64 f n)
cost-diff0
(neg.f64 n)
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 n))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
cost-diff0
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
cost-diff0
(+.f64 f n)
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 n f))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
Rules
10 260×lower-fma.f32
10 258×lower-fma.f64
3 160×lower-*.f32
3 152×lower-*.f64
2 320×lower-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
028183
048183
192181
2219169
3685164
42302164
54757160
08095160
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
#s(literal 1 binary64)
(-.f64 n f)
n
f
(+.f64 f n)
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
(+.f64 f n)
f
n
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)
(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))))
(neg.f64 (+.f64 f n))
(+.f64 f n)
f
n
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))
(/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 f f)
(*.f64 (+.f64 f n) (-.f64 n f))
(-.f64 n f)
(neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))
(/.f64 (*.f64 n n) (+.f64 f n))
(*.f64 n n)
Outputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
#s(literal 1 binary64)
(-.f64 n f)
n
f
(+.f64 f n)
(+.f64 n f)
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
(+.f64 f n)
(+.f64 n f)
f
n
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)
(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))))
(/.f64 (+.f64 n f) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (fma.f64 f (neg.f64 f) (*.f64 n n))))
(neg.f64 (+.f64 f n))
(-.f64 (neg.f64 n) f)
(+.f64 f n)
(+.f64 n f)
f
n
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (fma.f64 n (neg.f64 n) (*.f64 f f)))
(/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (+.f64 n f)))
(*.f64 f f)
(*.f64 (+.f64 f n) (-.f64 n f))
(*.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
(neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))
(*.f64 n (/.f64 n (-.f64 (neg.f64 n) f)))
(/.f64 (*.f64 n n) (+.f64 f n))
(*.f64 n (/.f64 n (+.f64 n f)))
(*.f64 n n)

localize70.0ms (0.9%)

Memory
-5.9MiB live, 109.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))
accuracy0.015625
(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))))
accuracy18.0513336386331
(/.f64 (*.f64 n n) (+.f64 f n))
accuracy22.173668511014448
(/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f)))
accuracy0
(+.f64 f n)
accuracy0
(neg.f64 f)
accuracy0.015625
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
accuracy31.624501974842392
#s(approx (- n f) (neg.f64 f))
accuracy0
(-.f64 f n)
accuracy0
(neg.f64 n)
accuracy0.015625
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
accuracy31.664703751727203
#s(approx (neg (+ f n)) (neg.f64 n))
accuracy32.07702300018066
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
accuracy0
(-.f64 n f)
accuracy0
(+.f64 f n)
accuracy0.015625
(/.f64 #s(literal 1 binary64) (-.f64 n f))
accuracy0.13671875
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
Samples
39.0ms255×0valid
1.0ms5exit
Compiler

Compiled 173 to 24 computations (86.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 26.0ms
ival-div: 9.0ms (34.5% of total)
ival-mult: 7.0ms (26.9% of total)
ival-neg: 4.0ms (15.3% of total)
ival-sub: 3.0ms (11.5% of total)
ival-add: 2.0ms (7.7% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.4%)

Memory
-4.3MiB live, 38.8MiB allocated
Counts
17 → 384
Calls
Call 1
Inputs
#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())
#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())
#s(alt (+.f64 f n) (patch (+.f64 f n) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)) #<representation binary64>) () ())
#s(alt #s(approx (neg (+ f n)) (neg.f64 n)) (patch #s(approx (neg (+ f n)) (neg.f64 n)) #<representation binary64>) () ())
#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())
#s(alt (-.f64 f n) (patch (-.f64 f n) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())
#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())
#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))) (patch (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))) (patch (/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))) #<representation binary64>) () ())
#s(alt (neg.f64 (+.f64 f n)) (patch (neg.f64 (+.f64 f n)) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())
#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())
Outputs
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#s(alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1) (taylor 0 n) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ())
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#s(alt 1 (taylor 0 f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ())
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#s(alt -1 (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f))) (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f)))) (taylor inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor -inf f) (#s(alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) (patch (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n)) #<representation binary64>) () ())) ())
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#s(alt (/ -1 f) (taylor 0 n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ n (pow f 2))) (/ 1 f)) (taylor 0 n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)) (taylor 0 n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)) (taylor 0 n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ 1 n) (taylor inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (/ f n)) n) (taylor inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n) (taylor inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n) (taylor inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ 1 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* -1 (/ f n)) 1) n)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n)) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ 1 n) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ (/ 1 n) (/ f (pow n 2))) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ -1 f) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ n f)) 1) f) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f) (taylor inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ -1 f) (taylor -inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (/ n f)) f)) (taylor -inf f) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 n f)) (patch (/.f64 #s(literal 1 binary64) (-.f64 n f)) #<representation binary64>) () ())) ())
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#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())) ())
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#s(alt -1 (taylor inf f) (#s(alt #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) (patch #s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (pow f 2) (pow n 2)) (taylor 0 f) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (* (pow f 2) (+ (/ 1 (pow n 2)) (/ (pow f 2) (pow n 4)))) (taylor 0 f) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 4)) (/ (pow f 2) (pow n 6)))) (/ 1 (pow n 2)))) (taylor 0 f) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (* (pow f 2) (+ (* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 6)) (/ (pow f 2) (pow n 8)))) (/ 1 (pow n 4)))) (/ 1 (pow n 2)))) (taylor 0 f) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf f) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ n (* -1 n)) f)) 1) (taylor inf f) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (pow n 2) (pow (+ n (* -1 n)) 2)) (pow f 2))) (+ 1 (+ (* -1 (/ n f)) (/ n f)))) (taylor inf f) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ (* (+ n (* -1 n)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) (* (pow n 2) (+ n (* -1 n)))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (+ (/ n f) (+ (/ (pow n 2) (pow f 2)) (/ (pow (+ n (* -1 n)) 2) (pow f 2))))))) (taylor inf f) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt -1 (taylor -inf f) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (- (+ (* -1 (/ n f)) (/ n f)) 1) (taylor -inf f) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (+ (/ (pow n 2) f) (/ (pow (+ n (* -1 n)) 2) f)) (+ n (* -1 n))) f)) 1) (taylor -inf f) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ n (* -1 n)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) f) (/ (* (pow n 2) (+ n (* -1 n))) f)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) f)) (+ n (* -1 n))) f)) 1) (taylor -inf f) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
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#s(alt (- (* -1 (/ (pow n 2) (pow f 2))) 1) (taylor 0 n) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow n 2) (- (* -1 (/ (pow n 2) (pow f 4))) (/ 1 (pow f 2)))) 1) (taylor 0 n) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow n 2) (- (* (pow n 2) (- (* -1 (/ (pow n 2) (pow f 6))) (/ 1 (pow f 4)))) (/ 1 (pow f 2)))) 1) (taylor 0 n) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (/ (pow f 2) (pow n 2)) (taylor inf n) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2)) (taylor inf n) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))) (pow n 2))) (pow f 2)) (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow n 2)) (taylor inf n) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (+ (* -1 (* (+ f (* -1 f)) (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))))) (* (pow f 4) (+ f (* -1 f)))) (pow n 3))) (pow f 2)) (+ (* -1 (/ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow n 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (/ (* (pow f 2) (+ f (* -1 f))) n)))) (pow n 2)) (taylor inf n) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (/ (pow f 2) (pow n 2)) (taylor -inf n) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2)) (taylor -inf n) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4)) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2)) (taylor -inf n) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ f (* -1 f)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) (* (pow f 4) (+ f (* -1 f)))) n)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2)) (taylor -inf n) (#s(alt (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (patch (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (/ (pow n 2) f) (taylor 0 n) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* (pow n 2) (+ (* -1 (/ n (pow f 2))) (/ 1 f))) (taylor 0 n) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* (pow n 2) (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f))) (taylor 0 n) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* (pow n 2) (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))) (taylor 0 n) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt n (taylor inf n) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* n (+ 1 (* -1 (/ f n)))) (taylor inf n) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n))) (taylor inf n) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* n (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n)))) (taylor inf n) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1))) (taylor -inf n) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1))) (taylor -inf n) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* -1 f)) (taylor 0 f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* f (- (/ f n) 1))) (taylor 0 f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ n (* f (- (* f (+ (* -1 (/ f (pow n 2))) (/ 1 n))) 1))) (taylor 0 f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ (pow n 2) f) (taylor inf f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ (+ (* -1 (/ (pow n 3) f)) (pow n 2)) f) (taylor inf f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (/ (pow n 3) f)) f) (taylor inf f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* -1 (/ (pow n 5) (pow f 3))) (pow n 2)) (+ (* -1 (/ (pow n 4) (pow f 2))) (/ (pow n 3) f))) f) (taylor inf f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (/ (pow n 2) f) (taylor -inf f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (pow n 2)) (/ (pow n 3) f)) f)) (taylor -inf f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f)) (taylor -inf f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow n 5) f) (pow n 4)) f)) (pow n 3)) f)) (* -1 (pow n 2))) f)) (taylor -inf f) (#s(alt (/.f64 (*.f64 n n) (+.f64 f n)) (patch (/.f64 (*.f64 n n) (+.f64 f n)) #<representation binary64>) () ())) ())
Calls

96 calls:

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

simplify200.0ms (2.6%)

Memory
13.5MiB live, 237.1MiB allocated
Algorithm
egg-herbie
Rules
8 172×lower-fma.f64
8 172×lower-fma.f32
2 688×lower-*.f64
2 688×lower-*.f32
2 634×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06043984
119373372
268113178
082692974
Stop Event
iter limit
node limit
Counts
384 → 363
Calls
Call 1
Inputs
-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)))
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 f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(/ 1 n)
(/ (+ 1 (/ f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/ 1 n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/ 1 n)
(+ (/ 1 n) (/ f (pow n 2)))
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(/ -1 f)
(/ (- (* -1 (/ n f)) 1) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/ -1 f)
(* -1 (/ (+ 1 (/ n f)) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
(* -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)))))
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
(+ 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)))
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))))
(* -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)))))
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)))
(* -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)))))
(* -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 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2)))) (/ n f)))
(* f (- (+ 1 (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2)))) (/ n f)))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (/ (pow n 2) f)) n) f)) 1)))
(* -1 (* f (- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (/ (pow n 2) f)) n) f)) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1))
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ (+ f (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) n)))))
(* -1 (* n (+ 1 (* -1 (/ (+ f (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) n)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) (pow f 3))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (+ (* -1 (/ (- n (* -1 n)) f)) (/ (* n (+ (* -1 (* n (- n (* -1 n)))) (* -1 (+ (* -1 (pow n 2)) (pow n 2))))) (pow f 3)))))) 1)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) f)) (/ (* n (- n (* -1 n))) f))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -1 (/ (* n (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f)) (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) f)) (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* 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 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ (pow f 2) (pow n 2))))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) (pow n 3))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ (* f (+ (* -1 (* f (- (* -1 f) f))) (+ (* -1 (pow f 2)) (pow f 2)))) (pow n 3)) (/ (pow f 2) (pow n 2))))))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (+ (* -1 (/ (pow f 2) n)) (+ (/ (* f (- (* -1 f) f)) n) (/ (pow f 2) n)))) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (* f (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n)) (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) n)) (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) 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))))
(/ (pow f 2) (pow n 2))
(* (pow f 2) (+ (/ 1 (pow n 2)) (/ (pow f 2) (pow n 4))))
(* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 4)) (/ (pow f 2) (pow n 6)))) (/ 1 (pow n 2))))
(* (pow f 2) (+ (* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 6)) (/ (pow f 2) (pow n 8)))) (/ 1 (pow n 4)))) (/ 1 (pow n 2))))
-1
(- (* -1 (/ (+ n (* -1 n)) f)) 1)
(- (* -1 (/ (+ (pow n 2) (pow (+ n (* -1 n)) 2)) (pow f 2))) (+ 1 (+ (* -1 (/ n f)) (/ n f))))
(- (* -1 (/ (+ (* (+ n (* -1 n)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) (* (pow n 2) (+ n (* -1 n)))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (+ (/ n f) (+ (/ (pow n 2) (pow f 2)) (/ (pow (+ n (* -1 n)) 2) (pow f 2)))))))
-1
(- (+ (* -1 (/ n f)) (/ n f)) 1)
(- (* -1 (/ (- (+ (/ (pow n 2) f) (/ (pow (+ n (* -1 n)) 2) f)) (+ n (* -1 n))) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ n (* -1 n)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) f) (/ (* (pow n 2) (+ n (* -1 n))) f)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) f)) (+ n (* -1 n))) f)) 1)
-1
(- (* -1 (/ (pow n 2) (pow f 2))) 1)
(- (* (pow n 2) (- (* -1 (/ (pow n 2) (pow f 4))) (/ 1 (pow f 2)))) 1)
(- (* (pow n 2) (- (* (pow n 2) (- (* -1 (/ (pow n 2) (pow f 6))) (/ 1 (pow f 4)))) (/ 1 (pow f 2)))) 1)
(/ (pow f 2) (pow n 2))
(/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))) (pow n 2))) (pow f 2)) (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow n 2))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ f (* -1 f)) (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))))) (* (pow f 4) (+ f (* -1 f)))) (pow n 3))) (pow f 2)) (+ (* -1 (/ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow n 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (/ (* (pow f 2) (+ f (* -1 f))) n)))) (pow n 2))
(/ (pow f 2) (pow n 2))
(/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4)) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ f (* -1 f)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) (* (pow f 4) (+ f (* -1 f)))) n)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2))
(/ (pow n 2) f)
(* (pow n 2) (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(* (pow n 2) (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f)))
(* (pow n 2) (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)))
(* n (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1)))
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1)))
n
(+ n (* -1 f))
(+ n (* f (- (/ f n) 1)))
(+ n (* f (- (* f (+ (* -1 (/ f (pow n 2))) (/ 1 n))) 1)))
(/ (pow n 2) f)
(/ (+ (* -1 (/ (pow n 3) f)) (pow n 2)) f)
(/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (/ (pow n 3) f)) f)
(/ (- (+ (* -1 (/ (pow n 5) (pow f 3))) (pow n 2)) (+ (* -1 (/ (pow n 4) (pow f 2))) (/ (pow n 3) f))) f)
(/ (pow n 2) f)
(* -1 (/ (+ (* -1 (pow n 2)) (/ (pow n 3) f)) f))
(* -1 (/ (+ (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f))
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow n 5) f) (pow n 4)) f)) (pow n 3)) f)) (* -1 (pow n 2))) f))
Outputs
-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)
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.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 #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 (/ f n)) (* -1 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f 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)))))
(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 (/ f n)) (* -1 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 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 f) (/.f64 (*.f64 f (*.f64 f (+.f64 f f))) n)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n))
(+ 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)) (+ 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 (fma.f64 (+.f64 n n) (/.f64 n f) 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))))
(-.f64 (fma.f64 n (/.f64 (neg.f64 (*.f64 n (+.f64 n n))) (*.f64 f (*.f64 f f))) (-.f64 #s(literal -1 binary64) (/.f64 n f))) (/.f64 (fma.f64 (+.f64 n n) (/.f64 n f) 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 (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 n n) (/.f64 (fma.f64 (*.f64 n n) (/.f64 (+.f64 n n) f) (*.f64 n (+.f64 n n))) f)) f))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(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 (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(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 n)
(/.f64 #s(literal 1 binary64) n)
(/ (+ 1 (/ f n)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n)) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 f (*.f64 f (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 (fma.f64 f (/.f64 f n) f) n))) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n)) n)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/.f64 (+.f64 (/.f64 (+.f64 f (/.f64 (fma.f64 f (/.f64 (*.f64 f f) n) (*.f64 f f)) n)) n) #s(literal 1 binary64)) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(+ (/ 1 n) (/ f (pow n 2)))
(+.f64 (/.f64 f (*.f64 n n)) (/.f64 #s(literal 1 binary64) n))
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(+.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(+.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 f (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 f (*.f64 n n))))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(/ (- (* -1 (/ n f)) 1) f)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 n (/.f64 n f) n)) f) #s(literal -1 binary64)) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/.f64 (-.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 n (/.f64 n f) n)) f) #s(literal -1 binary64)) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) f)
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(* -1 (/ (+ 1 (/ n f)) f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
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(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 (/.f64 (*.f64 n f) f))
(* f (- (+ 1 (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2)))) (/ n f)))
(-.f64 f (/.f64 (*.f64 n f) f))
(* f (- (+ 1 (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2)))) (/ n f)))
(-.f64 f (/.f64 (*.f64 n f) f))
f
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (/.f64 (*.f64 n f) f))
(* -1 (* f (- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (/ (pow n 2) f)) n) f)) 1)))
(-.f64 f (/.f64 (*.f64 n f) f))
(* -1 (* f (- (* -1 (/ (- (+ (* -1 (/ (pow n 2) f)) (/ (pow n 2) f)) n) f)) 1)))
(-.f64 f (/.f64 (*.f64 n f) 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 (*.f64 n f) n) n)
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1))
(-.f64 (/.f64 (*.f64 n f) n) n)
(* n (- (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ f n) (/ (pow f 2) (pow n 2)))) 1))
(-.f64 (/.f64 (*.f64 n f) n) n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (/.f64 (*.f64 n f) n) n)
(* -1 (* n (+ 1 (* -1 (/ (+ f (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) n)))))
(+.f64 (neg.f64 n) (*.f64 n (-.f64 (/.f64 f n) #s(literal 0 binary64))))
(* -1 (* n (+ 1 (* -1 (/ (+ f (* -1 (/ (+ (* -1 (pow f 2)) (pow f 2)) n))) n)))))
(+.f64 (neg.f64 n) (*.f64 n (-.f64 (/.f64 f n) #s(literal 0 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n))
(+ 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 (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 n n) (/.f64 n f) n)) f))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) (pow f 3))) (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) (pow f 2))) (+ (* -1 (/ (- n (* -1 n)) f)) (/ (* n (+ (* -1 (* n (- n (* -1 n)))) (* -1 (+ (* -1 (pow n 2)) (pow n 2))))) (pow f 3)))))) 1)
(+.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) (*.f64 f (*.f64 f (neg.f64 f)))) (/.f64 (+.f64 n (fma.f64 (+.f64 n n) (/.f64 n f) 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 (+ (* -1 (/ (+ (* -1 (pow n 2)) (pow n 2)) f)) (/ (* 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 (/ (* n (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f)) (/ (* (+ (* -1 (pow n 2)) (pow n 2)) (- n (* -1 n))) f)) (+ (* -1 (+ (* -1 (pow n 2)) (pow n 2))) (* n (- n (* -1 n))))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (fma.f64 (*.f64 n n) (/.f64 (+.f64 n n) f) (*.f64 n (+.f64 n 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)
(fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.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 #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 (/ (- (* -1 f) f) n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ (pow f 2) (pow n 2))))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (+.f64 f f) n) (+.f64 f f)) n))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) (pow n 3))) (+ (* -1 (/ (- (* -1 f) f) n)) (+ (* -1 (/ (pow f 2) (pow n 2))) (+ (/ (* f (+ (* -1 (* f (- (* -1 f) f))) (+ (* -1 (pow f 2)) (pow f 2)))) (pow n 3)) (/ (pow f 2) (pow n 2))))))))
(+.f64 #s(literal 1 binary64) (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)) (/.f64 (*.f64 (+.f64 f f) #s(literal 0 binary64)) n)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (+ (* -1 (/ (pow f 2) n)) (+ (/ (* f (- (* -1 f) f)) n) (/ (pow f 2) n)))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (-.f64 (/.f64 (*.f64 f f) n) (/.f64 (*.f64 f (+.f64 f f)) n)) (fma.f64 f (/.f64 f n) f)) f) n))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (* f (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n)) (/ (* (+ (* -1 (pow f 2)) (pow f 2)) (- (* -1 f) f)) n)) (+ (* -1 (pow f 2)) (+ (* f (- (* -1 f) f)) (pow f 2)))) n))) f) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 f (+.f64 f f) (fma.f64 (*.f64 f f) (/.f64 (+.f64 f f) n) (/.f64 (*.f64 (+.f64 f f) #s(literal 0 binary64)) n))) (neg.f64 n)) (+.f64 f f)) n))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 f)
(neg.f64 f)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(/ (pow f 2) (pow n 2))
(/.f64 (*.f64 f f) (*.f64 n n))
(* (pow f 2) (+ (/ 1 (pow n 2)) (/ (pow f 2) (pow n 4))))
(*.f64 (*.f64 f f) (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 n n))))
(* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 4)) (/ (pow f 2) (pow n 6)))) (/ 1 (pow n 2))))
(*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (fma.f64 f (/.f64 f (pow.f64 n #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 n n))))
(* (pow f 2) (+ (* (pow f 2) (+ (* (pow f 2) (+ (/ 1 (pow n 6)) (/ (pow f 2) (pow n 8)))) (/ 1 (pow n 4)))) (/ 1 (pow n 2))))
(*.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (fma.f64 (*.f64 f f) (fma.f64 f (/.f64 f (pow.f64 n #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 n #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 n n))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (+ n (* -1 n)) f)) 1)
#s(literal -1 binary64)
(- (* -1 (/ (+ (pow n 2) (pow (+ n (* -1 n)) 2)) (pow f 2))) (+ 1 (+ (* -1 (/ n f)) (/ n f))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n n) (*.f64 f f)))
(- (* -1 (/ (+ (* (+ n (* -1 n)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) (* (pow n 2) (+ n (* -1 n)))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (+ (/ n f) (+ (/ (pow n 2) (pow f 2)) (/ (pow (+ n (* -1 n)) 2) (pow f 2)))))))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n n) (*.f64 f f)))
-1
#s(literal -1 binary64)
(- (+ (* -1 (/ n f)) (/ n f)) 1)
#s(literal -1 binary64)
(- (* -1 (/ (- (+ (/ (pow n 2) f) (/ (pow (+ n (* -1 n)) 2) f)) (+ n (* -1 n))) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n n) (*.f64 f f)))
(- (* -1 (/ (- (* -1 (/ (- (+ (/ (* (+ n (* -1 n)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) f) (/ (* (pow n 2) (+ n (* -1 n))) f)) (+ (pow n 2) (pow (+ n (* -1 n)) 2))) f)) (+ n (* -1 n))) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n n) (*.f64 f f)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (pow n 2) (pow f 2))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n n) (*.f64 f f)))
(- (* (pow n 2) (- (* -1 (/ (pow n 2) (pow f 4))) (/ 1 (pow f 2)))) 1)
(fma.f64 (*.f64 n n) (fma.f64 (neg.f64 n) (/.f64 n (pow.f64 f #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 f f))) #s(literal -1 binary64))
(- (* (pow n 2) (- (* (pow n 2) (- (* -1 (/ (pow n 2) (pow f 6))) (/ 1 (pow f 4)))) (/ 1 (pow f 2)))) 1)
(fma.f64 (*.f64 n n) (fma.f64 (*.f64 n n) (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 f #s(literal 4 binary64))) (/.f64 (*.f64 n n) (pow.f64 f #s(literal 6 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 f f))) #s(literal -1 binary64))
(/ (pow f 2) (pow n 2))
(/.f64 (*.f64 f f) (*.f64 n n))
(/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2))
(/.f64 (-.f64 (/.f64 (*.f64 f f) n) #s(literal 0 binary64)) n)
(/ (- (+ (* -1 (/ (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))) (pow n 2))) (pow f 2)) (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow n 2))
(/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 n n))) (*.f64 n n))
(/ (- (+ (* -1 (/ (+ (* -1 (* (+ f (* -1 f)) (+ (* -1 (* (pow f 2) (pow (+ f (* -1 f)) 2))) (* -1 (pow f 4))))) (* (pow f 4) (+ f (* -1 f)))) (pow n 3))) (pow f 2)) (+ (* -1 (/ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow n 2))) (+ (* -1 (/ (pow f 4) (pow n 2))) (/ (* (pow f 2) (+ f (* -1 f))) n)))) (pow n 2))
(/.f64 (+.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 n n))) (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 f #s(literal 4 binary64)))) (*.f64 n (*.f64 n n)))) (*.f64 n n))
(/ (pow f 2) (pow n 2))
(/.f64 (*.f64 f f) (*.f64 n n))
(/ (+ (* -1 (/ (* (pow f 2) (+ f (* -1 f))) n)) (pow f 2)) (pow n 2))
(/.f64 (-.f64 (/.f64 (*.f64 f f) n) #s(literal 0 binary64)) n)
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4)) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2))
(/.f64 (fma.f64 f f (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 n n))) (*.f64 n n))
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* (+ f (* -1 f)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) (* (pow f 4) (+ f (* -1 f)))) n)) (+ (* (pow f 2) (pow (+ f (* -1 f)) 2)) (pow f 4))) n)) (* (pow f 2) (+ f (* -1 f)))) n)) (pow f 2)) (pow n 2))
(/.f64 (fma.f64 f f (/.f64 (/.f64 (+.f64 (pow.f64 f #s(literal 4 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) (+.f64 (pow.f64 f #s(literal 4 binary64)) (pow.f64 f #s(literal 4 binary64)))) n)) n) n)) (*.f64 n n))
(/ (pow n 2) f)
(/.f64 (*.f64 n n) f)
(* (pow n 2) (+ (* -1 (/ n (pow f 2))) (/ 1 f)))
(*.f64 (*.f64 n n) (-.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 n (*.f64 f f))))
(* (pow n 2) (+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 (*.f64 n n) (fma.f64 n (+.f64 (/.f64 n (*.f64 f (*.f64 f f))) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal 1 binary64) f)))
(* (pow n 2) (+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (*.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))))
n
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (/.f64 (*.f64 n f) n))
(* n (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)))
(+.f64 n (*.f64 (/.f64 (fma.f64 f (/.f64 f n) (neg.f64 f)) n) n))
(* n (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))))
(*.f64 n (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 f (*.f64 f (/.f64 f (*.f64 n (*.f64 n n)))))) (/.f64 (fma.f64 f (/.f64 f n) (neg.f64 f)) n)))
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (/.f64 (*.f64 n f) n))
(* -1 (* n (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1)))
(fma.f64 (neg.f64 n) (neg.f64 (/.f64 (fma.f64 f (/.f64 f n) (neg.f64 f)) n)) n)
(* -1 (* n (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1)))
(fma.f64 (neg.f64 n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 f (*.f64 f f)) n) (*.f64 f f)) n) f) n) n)
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* f (- (/ f n) 1)))
(fma.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(+ n (* f (- (* f (+ (* -1 (/ f (pow n 2))) (/ 1 n))) 1)))
(fma.f64 f (fma.f64 f (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 f (*.f64 n n))) #s(literal -1 binary64)) n)
(/ (pow n 2) f)
(/.f64 (*.f64 n n) f)
(/ (+ (* -1 (/ (pow n 3) f)) (pow n 2)) f)
(/.f64 (-.f64 (*.f64 n n) (/.f64 (*.f64 n (*.f64 n n)) f)) f)
(/ (- (+ (/ (pow n 4) (pow f 2)) (pow n 2)) (/ (pow n 3) f)) f)
(/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n (neg.f64 n)) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)
(/ (- (+ (* -1 (/ (pow n 5) (pow f 3))) (pow n 2)) (+ (* -1 (/ (pow n 4) (pow f 2))) (/ (pow n 3) f))) f)
(/.f64 (-.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n (neg.f64 n)) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) (/.f64 (pow.f64 n #s(literal 5 binary64)) (*.f64 f (*.f64 f f)))) f)
(/ (pow n 2) f)
(/.f64 (*.f64 n n) f)
(* -1 (/ (+ (* -1 (pow n 2)) (/ (pow n 3) f)) f))
(/.f64 (-.f64 (*.f64 n n) (/.f64 (*.f64 n (*.f64 n n)) f)) f)
(* -1 (/ (+ (* -1 (/ (- (/ (pow n 4) f) (pow n 3)) f)) (* -1 (pow n 2))) f))
(/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n (neg.f64 n)) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow n 5) f) (pow n 4)) f)) (pow n 3)) f)) (* -1 (pow n 2))) f))
(/.f64 (fma.f64 n n (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 5 binary64)) f) (pow.f64 n #s(literal 4 binary64))) (neg.f64 f)) (*.f64 n (*.f64 n n))) f)) f)

rewrite279.0ms (3.6%)

Memory
3.5MiB live, 351.7MiB allocated
Rules
4 964×lower-fma.f32
4 962×lower-fma.f64
4 148×lower-/.f32
4 136×lower-/.f64
3 312×lower-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028143
048100
1172100
21433100
08747100
Stop Event
iter limit
node limit
iter limit
Counts
17 → 1 107
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
(-.f64 n f)
(+.f64 f n)
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n))))
(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))))
(neg.f64 (+.f64 f n))
(/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 n n) (+.f64 f n))
Outputs
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(pow.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (*.f64 f f)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 f (/.f64 f (*.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (*.f64 f f) (+.f64 n f)))
(*.f64 (*.f64 f f) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 n f))))
(*.f64 (/.f64 (*.f64 f f) (+.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 f f) (*.f64 (+.f64 n f) (-.f64 f n))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (/.f64 (+.f64 n f) (*.f64 f f)))))
(*.f64 (neg.f64 (*.f64 f f)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 f n))))
(*.f64 (/.f64 f (+.f64 n f)) (/.f64 f (-.f64 n f)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 n f))) (*.f64 f f))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 n f))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 f f)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (pow.f64 (/.f64 (-.f64 n f) (*.f64 f f)) #s(literal -1 binary64)))
(*.f64 (/.f64 f (-.f64 n f)) (/.f64 f (+.f64 n f)))
(*.f64 (/.f64 f (*.f64 (-.f64 n f) (+.f64 n f))) f)
(*.f64 (/.f64 (*.f64 f f) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(*.f64 (*.f64 (neg.f64 f) (/.f64 f (+.f64 n f))) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (*.f64 (/.f64 f (+.f64 n f)) f) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (*.f64 f (/.f64 f (-.f64 n f))) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(*.f64 (/.f64 (/.f64 (*.f64 f f) (+.f64 n f)) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 (/.f64 (*.f64 f f) (+.f64 n f)) (*.f64 (-.f64 n f) (+.f64 n f))) (+.f64 n f))
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (*.f64 f f)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (*.f64 f f)) #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 n n) (+.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 n f) (*.f64 n n))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 n n) (-.f64 (neg.f64 n) f)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (neg.f64 n) f)) (/.f64 (*.f64 n n) (-.f64 (neg.f64 n) f)))
(neg.f64 (/.f64 (*.f64 n n) (-.f64 (neg.f64 n) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (*.f64 n n)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (*.f64 (neg.f64 (*.f64 n n)) #s(literal -1 binary64))))
(/.f64 n (/.f64 (+.f64 n f) n))
(/.f64 (*.f64 n n) (+.f64 n f))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 n f) (neg.f64 (*.f64 n n))))
(/.f64 (neg.f64 (*.f64 n n)) (-.f64 (neg.f64 n) f))
(/.f64 (neg.f64 (/.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (+.f64 n f) (+.f64 n f)))) (/.f64 (*.f64 n n) (-.f64 (neg.f64 n) f)))
(/.f64 (*.f64 (neg.f64 (*.f64 n n)) #s(literal -1 binary64)) (+.f64 n f))
(/.f64 (/.f64 (*.f64 n n) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (*.f64 n n)) #s(literal -1 binary64))) (-.f64 (neg.f64 n) f))
(/.f64 (+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 n n) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (+.f64 n f) (*.f64 (+.f64 n f) (+.f64 n f))))) (+.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (*.f64 n n) (*.f64 n n)) (*.f64 (+.f64 n f) (+.f64 n f))) #s(literal 0 binary64))))
(pow.f64 (/.f64 (+.f64 n f) (*.f64 n n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) (+.f64 n f)))
(*.f64 n (/.f64 n (+.f64 n f)))
(*.f64 n (neg.f64 (neg.f64 (/.f64 n (+.f64 n f)))))
(*.f64 n (neg.f64 (/.f64 n (-.f64 (neg.f64 n) f))))
(*.f64 (neg.f64 n) (neg.f64 (/.f64 n (+.f64 n f))))
(*.f64 (neg.f64 n) (/.f64 n (-.f64 (neg.f64 n) f)))
(*.f64 (*.f64 n n) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(*.f64 (*.f64 n n) (neg.f64 (/.f64 #s(literal -1 binary64) (+.f64 n f))))
(*.f64 (*.f64 n n) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)))))
(*.f64 (/.f64 (*.f64 n n) (+.f64 n f)) #s(literal 1 binary64))
(*.f64 (/.f64 (*.f64 n n) (-.f64 (neg.f64 n) f)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 n n) (-.f64 (neg.f64 n) f)))
(*.f64 (neg.f64 (*.f64 n n)) (/.f64 #s(literal -1 binary64) (+.f64 n f)))
(*.f64 (neg.f64 (*.f64 n n)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (*.f64 n n))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) #s(literal -1 binary64)))
(*.f64 (/.f64 n (+.f64 n f)) n)
(*.f64 (*.f64 (neg.f64 (*.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(*.f64 (/.f64 (*.f64 n n) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(*.f64 (/.f64 (*.f64 n n) (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 f n))
(*.f64 (/.f64 (*.f64 n n) (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))
(*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (+.f64 n f))) (-.f64 n f))
(*.f64 (pow.f64 (/.f64 (+.f64 n f) (*.f64 n n)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 n f) (*.f64 n n)) #s(literal -1/2 binary64)))
(*.f64 (neg.f64 (/.f64 (*.f64 n n) (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(*.f64 (neg.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (+.f64 n f)))) (-.f64 f n))

eval325.0ms (4.2%)

Memory
30.4MiB live, 537.0MiB allocated
Compiler

Compiled 65 420 to 4 549 computations (93% saved)

prune546.0ms (7%)

Memory
12.7MiB live, 398.2MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New2 12512 126
Fresh000
Picked145
Done055
Total2 126102 136
Accuracy
100.0%
Counts
2 136 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
50.1%
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
87.8%
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
50.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
50.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
49.5%
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
49.9%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
50.7%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
49.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 93 to 55 computations (40.9% saved)

simplify822.0ms (10.6%)

Memory
-9.3MiB live, 142.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 f n))
cost-diff0
#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
cost-diff896
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
Rules
4 644×lower-fma.f64
4 644×lower-fma.f32
3 530×lower-*.f32
3 528×lower-*.f64
964×div-sub
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01149
01649
12749
25049
39949
422240
542340
6114740
7187740
8249440
9289140
10303540
11305540
12305740
13394940
14486640
15619540
16705940
17770840
0818440
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
n
(-.f64 #s(literal -1 binary64) (/.f64 f n))
#s(literal -1 binary64)
(/.f64 f n)
f
(-.f64 f n)
Outputs
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f)) (-.f64 f n))
#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))
#s(approx (neg (+ f n)) (-.f64 (neg.f64 n) f))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(-.f64 (neg.f64 n) f)
n
(-.f64 #s(literal -1 binary64) (/.f64 f n))
#s(literal -1 binary64)
(/.f64 f n)
f
(-.f64 f n)

localize30.0ms (0.4%)

Memory
27.9MiB live, 65.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))
accuracy0.00390625
(-.f64 #s(literal -1 binary64) (/.f64 f n))
accuracy0.015625
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
accuracy7.470116578207813
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
Samples
20.0ms255×0valid
0.0ms5exit
Compiler

Compiled 35 to 12 computations (65.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
ival-add: 4.0ms (29.7% of total)
ival-div: 3.0ms (22.3% of total)
ival-mult: 2.0ms (14.8% of total)
ival-sub: 2.0ms (14.8% of total)
ival-neg: 1.0ms (7.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series19.0ms (0.2%)

Memory
-47.2MiB live, 17.5MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())
#s(alt #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (patch #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) (/.f64 f n)) (patch (-.f64 #s(literal -1 binary64) (/.f64 f n)) #<representation binary64>) () ())
Outputs
#s(alt (* -1 f) (taylor 0 n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor 0 f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* f (- (* -1 (/ n f)) 1)) (taylor inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor -inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* f (+ 1 (/ n f)))) (taylor -inf f) (#s(alt (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) (patch (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor inf f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (- n (* -1 n)) f)) 1) (taylor inf f) (#s(alt (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n)) #<representation binary64>) () ())) ())
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Calls

24 calls:

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

simplify196.0ms (2.5%)

Memory
1.9MiB live, 390.7MiB allocated
Algorithm
egg-herbie
Rules
12 488×lower-fma.f64
12 488×lower-fma.f32
3 834×lower-*.f64
3 834×lower-*.f32
1 708×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135623
1421588
21257535
35148527
08423503
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
(* -1 f)
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(* -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))))
(* -1 n)
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 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
(+ 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))))
-1
(- (* -1 (/ f n)) 1)
(- (* -1 (/ f n)) 1)
(- (* -1 (/ f n)) 1)
(* -1 (/ f n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(* -1 (/ f n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(* -1 (/ f n))
(/ (- (* -1 n) f) n)
(/ (- (* -1 n) f) n)
(/ (- (* -1 n) f) n)
-1
(- (* -1 (/ f n)) 1)
(- (* -1 (/ f n)) 1)
(- (* -1 (/ f n)) 1)
-1
(- (* -1 (/ f n)) 1)
(- (* -1 (/ f n)) 1)
(- (* -1 (/ f n)) 1)
Outputs
(* -1 f)
(neg.f64 f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 f) n)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 f) n)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 f) n)
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 n)
(neg.f64 n)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 f) n)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 f) n)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 f) n)
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) f)) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #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)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #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 (/.f64 (*.f64 n (*.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)))) f) (+.f64 n n)) 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)
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #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)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) f)) n))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) f)) n))
(* -1 n)
(neg.f64 n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(- (* -1 f) n)
(-.f64 (neg.f64 f) n)
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (neg.f64 f) n)
(* -1 f)
(neg.f64 f)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(- (* -1 n) f)
(-.f64 (neg.f64 f) n)
(* -1 n)
(neg.f64 n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (neg.f64 f) n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (neg.f64 f) n)
-1
#s(literal -1 binary64)
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (/ f n))
(/.f64 (neg.f64 f) n)
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (/ f n))
(/.f64 (neg.f64 f) n)
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (* f (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(* -1 (/ f n))
(/.f64 (neg.f64 f) n)
(/ (- (* -1 n) f) n)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(/ (- (* -1 n) f) n)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(/ (- (* -1 n) f) n)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
-1
#s(literal -1 binary64)
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
-1
#s(literal -1 binary64)
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))
(- (* -1 (/ f n)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 f n))

rewrite292.0ms (3.7%)

Memory
-21.7MiB live, 305.5MiB allocated
Rules
3 830×lower-fma.f64
3 830×lower-fma.f32
3 774×lower-*.f32
3 772×lower-*.f64
3 684×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01140
01640
16940
252240
0911740
Stop Event
iter limit
node limit
iter limit
Counts
4 → 229
Calls
Call 1
Inputs
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
#s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n))))
(-.f64 #s(literal -1 binary64) (/.f64 f n))
Outputs
(+.f64 (neg.f64 n) (/.f64 (*.f64 n (neg.f64 f)) n))
(+.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 (*.f64 n (neg.f64 f)) n))
(+.f64 (/.f64 (*.f64 n (neg.f64 f)) n) (neg.f64 n))
(+.f64 (/.f64 (*.f64 n (neg.f64 f)) n) (*.f64 n #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 n (/.f64 (*.f64 n (neg.f64 f)) n)))
(fma.f64 n #s(literal -1 binary64) (/.f64 (*.f64 n (neg.f64 f)) n))
(fma.f64 n (/.f64 (neg.f64 f) n) (neg.f64 n))
(fma.f64 n (/.f64 (neg.f64 f) n) (*.f64 n #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) n (/.f64 (*.f64 n (neg.f64 f)) n))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 f n) n) (neg.f64 n))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 f n) n) (*.f64 n #s(literal -1 binary64)))
(fma.f64 (/.f64 f n) (neg.f64 n) (neg.f64 n))
(fma.f64 (/.f64 f n) (neg.f64 n) (*.f64 n #s(literal -1 binary64)))
(fma.f64 (neg.f64 f) (*.f64 (/.f64 #s(literal 1 binary64) n) n) (neg.f64 n))
(fma.f64 (neg.f64 f) (*.f64 (/.f64 #s(literal 1 binary64) n) n) (*.f64 n #s(literal -1 binary64)))
(fma.f64 (*.f64 n f) (/.f64 #s(literal -1 binary64) n) (neg.f64 n))
(fma.f64 (*.f64 n f) (/.f64 #s(literal -1 binary64) n) (*.f64 n #s(literal -1 binary64)))
(fma.f64 (/.f64 (neg.f64 f) n) n (neg.f64 n))
(fma.f64 (/.f64 (neg.f64 f) n) n (*.f64 n #s(literal -1 binary64)))
(fma.f64 f (*.f64 (/.f64 #s(literal -1 binary64) n) n) (neg.f64 n))
(fma.f64 f (*.f64 (/.f64 #s(literal -1 binary64) n) n) (*.f64 n #s(literal -1 binary64)))
(fma.f64 (*.f64 n (neg.f64 f)) (/.f64 #s(literal 1 binary64) n) (neg.f64 n))
(fma.f64 (*.f64 n (neg.f64 f)) (/.f64 #s(literal 1 binary64) n) (*.f64 n #s(literal -1 binary64)))
(fma.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 f n) (neg.f64 n))
(fma.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 f n) (*.f64 n #s(literal -1 binary64)))
(fma.f64 (*.f64 n (/.f64 f n)) #s(literal -1 binary64) (neg.f64 n))
(fma.f64 (*.f64 n (/.f64 f n)) #s(literal -1 binary64) (*.f64 n #s(literal -1 binary64)))
(/.f64 n (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 n (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) n)))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n))))) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
(/.f64 (*.f64 n (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 f n)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) n) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) n) (+.f64 #s(literal -1 binary64) (/.f64 f n)))
(/.f64 (neg.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))))) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 n (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) n)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) n)) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) n)) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) n)))
(/.f64 (fma.f64 n (*.f64 n (neg.f64 n)) (pow.f64 (/.f64 (*.f64 n (neg.f64 f)) n) #s(literal 3 binary64))) (fma.f64 n n (-.f64 (*.f64 (/.f64 (*.f64 n (neg.f64 f)) n) (/.f64 (*.f64 n (neg.f64 f)) n)) (*.f64 (neg.f64 n) (/.f64 (*.f64 n (neg.f64 f)) n)))))
(/.f64 (+.f64 (pow.f64 (*.f64 n #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 n (neg.f64 f)) n) #s(literal 3 binary64))) (fma.f64 (*.f64 n #s(literal -1 binary64)) (*.f64 n #s(literal -1 binary64)) (-.f64 (*.f64 (/.f64 (*.f64 n (neg.f64 f)) n) (/.f64 (*.f64 n (neg.f64 f)) n)) (*.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 (*.f64 n (neg.f64 f)) n)))))
(/.f64 (-.f64 (*.f64 n n) (*.f64 (/.f64 (*.f64 n (neg.f64 f)) n) (/.f64 (*.f64 n (neg.f64 f)) n))) (-.f64 (neg.f64 n) (/.f64 (*.f64 n (neg.f64 f)) n)))
(/.f64 (-.f64 (*.f64 (*.f64 n #s(literal -1 binary64)) (*.f64 n #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 n (neg.f64 f)) n) (/.f64 (*.f64 n (neg.f64 f)) n))) (-.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 (*.f64 n (neg.f64 f)) n)))
(/.f64 (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) n)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) n) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) n) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) n)))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
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(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #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 (neg.f64 f) n))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 n (*.f64 n n)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 n (*.f64 n n)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 n (*.f64 n n))))))))
(/.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 f f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 n 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 f f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 n n))) (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 n n))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 n n)))))))
(/.f64 (-.f64 (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 (neg.f64 f) n) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 n (*.f64 n n)))) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 n (*.f64 n n)))))) (+.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (*.f64 n (*.f64 n 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 f f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 n n))) (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)) (*.f64 n n)))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) #s(literal 1 binary64)) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 f n)))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 f 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 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n))) (fma.f64 (*.f64 f f) (/.f64 f (*.f64 n (*.f64 n n))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 f f) f)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64)))) (fma.f64 (*.f64 f f) (/.f64 f (*.f64 n (*.f64 n n))) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 f f) f)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) (fma.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (*.f64 f f) f) f) (*.f64 n (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 f n))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.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 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n 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 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #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 (neg.f64 f) n))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))))
(*.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (/.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) (fma.f64 (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (*.f64 (/.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))) (fma.f64 (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (-.f64 (*.f64 (/.f64 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 n (*.f64 n n)))) (-.f64 #s(literal 1 binary64) (*.f64 (/.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 f n) (+.f64 #s(literal -1 binary64) (/.f64 f n)))))
(*.f64 (/.f64 (fma.f64 (neg.f64 f) (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) (fma.f64 (*.f64 f f) (/.f64 f (*.f64 n (*.f64 n n))) #s(literal -1 binary64))) (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64)))

eval123.0ms (1.6%)

Memory
-3.0MiB live, 71.8MiB allocated
Compiler

Compiled 8 059 to 763 computations (90.5% saved)

prune43.0ms (0.6%)

Memory
8.8MiB live, 95.2MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New3250325
Fresh000
Picked011
Done099
Total32510335
Accuracy
100.0%
Counts
335 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
50.1%
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
87.8%
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
50.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
50.8%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
49.5%
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
49.9%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
50.7%
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
49.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 206 to 91 computations (55.8% saved)

regimes14.0ms (0.2%)

Memory
-2.1MiB live, 36.8MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 f n)) (fma.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 n n) (+.f64 f n)))))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

3 calls:

5.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
4.0ms
n
4.0ms
f
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)

regimes10.0ms (0.1%)

Memory
-16.3MiB live, 23.0MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

3 calls:

4.0ms
n
3.0ms
f
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
76.2%3f
77.8%3n
98.2%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes2.0ms (0%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
Outputs
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.6%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
4.6MiB live, 4.6MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.6%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
4.2MiB live, 4.2MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.5%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
3.8MiB live, 3.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (+ f n) (- n f)) #s(literal 1 binary64))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.5%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
n
1.0ms
f
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
49.5%1f
49.5%1n
49.5%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9430721192154834
0.999997267156485
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9430721192154834
0.999997267156485
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9430721192154834
0.999997267156485
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.9430721192154834
0.999997267156485
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch14.0ms (0.2%)

Memory
-22.4MiB live, 20.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
-0.9430721192154834
0.999997267156485
Samples
4.0ms240×0valid
Compiler

Compiled 163 to 131 computations (19.6% saved)

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

simplify9.0ms (0.1%)

Memory
17.2MiB live, 17.2MiB allocated
Algorithm
egg-herbie
Rules
62×unsub-neg_binary64
38×neg-mul-1_binary64
22×+-commutative_binary64
20×sub-neg_binary64
20×neg-sub0_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
038182
153182
267182
378177
492177
5118177
6133177
7157177
8186177
Stop Event
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)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f))) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))

soundness1.0s (13.1%)

Memory
-1.3MiB live, 538.7MiB allocated
Rules
14 778×lower-fma.f64
14 778×lower-fma.f32
13 906×lower-fma.f64
13 906×lower-fma.f32
3 728×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02422803
17622497
223762260
367102260
080742071
0618
01018
14618
232717
0553017
0145539
1448504
21334469
35180459
08647432
Stop Event
done
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 218 to 89 computations (59.2% saved)

preprocess41.0ms (0.5%)

Memory
-15.3MiB live, 108.3MiB allocated
Compiler

Compiled 252 to 62 computations (75.4% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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