subtraction fraction

Time bar (total: 5.8s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze12.0ms (0.2%)

Memory
22.8MiB live, 22.8MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample618.0ms (10.7%)

Memory
50.3MiB live, 767.2MiB allocated
Samples
379.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 193.0ms
ival-add: 53.0ms (27.5% of total)
ival-div: 52.0ms (26.9% of total)
ival-sub: 42.0ms (21.8% of total)
ival-neg: 37.0ms (19.2% of total)
ival-true: 6.0ms (3.1% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

explain68.0ms (1.2%)

Memory
-9.9MiB live, 114.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
00-0-(-.f64 f n)
00-0-f
00-0-n
00-0-(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
27.0ms512×0valid
Compiler

Compiled 54 to 22 computations (59.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-sub: 3.0ms (26.2% of total)
ival-div: 3.0ms (26.2% of total)
ival-add: 3.0ms (26.2% of total)
ival-neg: 2.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess59.0ms (1%)

Memory
-22.4MiB live, 55.2MiB allocated
Algorithm
1×egg-herbie
Rules
424×times-frac
310×div-sub
304×lower-fma.f64
304×lower-fma.f32
214×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01846
16135
217135
341435
4117235
5144635
6150335
7157135
8162835
068
0108
1218
2418
3787
41637
53077
66107
77227
87547
97707
107717
07717
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Outputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (+.f64 n f) (-.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
1.1MiB live, 1.1MiB 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)

simplify20.0ms (0.4%)

Memory
20.3MiB live, 20.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 f n)
cost-diff0
(+.f64 f n)
cost-diff0
(neg.f64 (+.f64 f n))
cost-diff128
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Rules
304×lower-fma.f64
304×lower-fma.f32
214×div-sub
176×lower-*.f64
176×lower-*.f32
Iterations

Useful iterations: 3 (0.0ms)

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

localize23.0ms (0.4%)

Memory
-18.2MiB live, 19.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(-.f64 f n)
accuracy0
(+.f64 f n)
accuracy0
(neg.f64 (+.f64 f n))
accuracy0.015625
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
11.0ms256×0valid
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 (36.1% of total)
ival-sub: 1.0ms (18.1% of total)
ival-add: 1.0ms (18.1% of total)
ival-neg: 1.0ms (18.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (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 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 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 (* -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 -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 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 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 (* 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 -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 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 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 -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 -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 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 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 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 (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 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 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 (* -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 (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 -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 -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 -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

6 calls:

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

simplify250.0ms (4.3%)

Memory
28.0MiB live, 139.9MiB allocated
Algorithm
1×egg-herbie
Rules
14 778×lower-fma.f64
14 778×lower-fma.f32
3 728×lower-*.f64
3 728×lower-*.f32
1 970×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145539
1448504
21333469
35177459
08641432
Stop Event
1×iter limit
1×node limit
Counts
96 → 87
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
n
(+ f n)
(+ f n)
(+ f n)
(* -1 n)
(- f n)
(- f n)
(- f n)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
-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 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ 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 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
f
(+ f n)
(+ f n)
(+ f n)
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
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 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
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 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* 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)
(* -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)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 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 (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 (/.f64 f n) f f) (+.f64 f f)) n) #s(literal 1 binary64))
(* -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)
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 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) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (neg.f64 f) n)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
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)
-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) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 n n) f) n) (+.f64 n n)) f))
(* -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)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
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)
-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) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal -2 binary64) f)) n #s(literal -1 binary64))
(* -1 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)
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.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 (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 (/.f64 f n) f f) (+.f64 f f)) n) #s(literal 1 binary64))
(* -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)
n
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* -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
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -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 (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 (/.f64 f n) f f) (+.f64 f f)) n) #s(literal 1 binary64))
(* -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)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -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)

rewrite172.0ms (3%)

Memory
-16.9MiB live, 135.6MiB 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
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
4 → 572
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)
Outputs
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (*.f64 (-.f64 f n) (+.f64 n f))) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) #s(literal -1 binary64)) (neg.f64 (+.f64 n f)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) #s(literal 1 binary64)) (+.f64 n f))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) #s(literal -1 binary64)) (+.f64 n f))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 n f)))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 n f) (+.f64 n f)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
(*.f64 (/.f64 (neg.f64 (+.f64 n f)) (/.f64 (*.f64 (-.f64 f n) (+.f64 n f)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 f n) (+.f64 n f)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 (+.f64 n f) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 f n))) (/.f64 (+.f64 n f) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(*.f64 (/.f64 (+.f64 n f) (/.f64 (*.f64 (-.f64 f n) (+.f64 n f)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 n f) n (*.f64 f f))))
(*.f64 (/.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 f n)))
(*.f64 (/.f64 (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 n f) n (*.f64 f f))) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 f n)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 f n) (+.f64 n f))) (*.f64 (+.f64 n f) (+.f64 n f)))
(*.f64 (/.f64 (*.f64 (-.f64 f n) (+.f64 n f)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (-.f64 f n)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (*.f64 (neg.f64 (+.f64 n f)) (+.f64 n f)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 n f))) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (neg.f64 (+.f64 n f))))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 f n))) (neg.f64 (fma.f64 (+.f64 n f) n (*.f64 f f))))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 n f)))
(*.f64 (*.f64 (/.f64 (+.f64 n f) (fma.f64 (+.f64 n f) n (*.f64 f f))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 n f) n (*.f64 f f)))))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 (+.f64 n f) n (*.f64 f f)) (-.f64 n f))) (fma.f64 (+.f64 n f) n (*.f64 f f)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 n f)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (neg.f64 (+.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal -1 binary64))
(*.f64 (*.f64 (-.f64 f n) (+.f64 n f)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (-.f64 n f)))
(*.f64 (*.f64 (-.f64 f n) (+.f64 n f)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 #s(literal -1 binary64) (-.f64 f n))))
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eval334.0ms (5.8%)

Memory
10.8MiB live, 189.9MiB allocated
Compiler

Compiled 16 017 to 1 653 computations (89.7% saved)

prune111.0ms (1.9%)

Memory
-20.5MiB live, 261.2MiB 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
▶99.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n))
100.0%
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))))
▶100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
53.4%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
▶47.9%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
▶99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f))
52.5%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
▶46.8%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 220 to 114 computations (48.2% saved)

simplify44.0ms (0.8%)

Memory
3.4MiB live, 40.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 #s(literal -1 binary64) (+.f64 n f))
cost-diff128
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n))
cost-diff1280
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f)))
cost-diff0
(+.f64 n f)
cost-diff0
(-.f64 f n)
cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 f n))
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f))
cost-diff0
(-.f64 f n)
cost-diff0
(neg.f64 f)
cost-diff0
#s(approx (neg (+ f n)) (neg.f64 f))
cost-diff0
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
cost-diff0
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
cost-diff0
(-.f64 n f)
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 (+.f64 n f) (-.f64 n f))
Rules
528×lower-fma.f64
528×lower-fma.f32
336×lower-*.f32
334×lower-*.f64
300×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
021107
03298
16098
29897
316797
431697
558997
6108597
7123397
8130997
9132897
10135397
11136297
0136297
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
n
f
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f))
(/.f64 #s(literal -1 binary64) (-.f64 f n))
#s(literal -1 binary64)
(-.f64 f n)
f
n
(+.f64 n f)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f)))
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 n f))
#s(literal -1 binary64)
(+.f64 n f)
n
f
(-.f64 f n)
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 n f)
(+.f64 f n)
n
f
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
f
(-.f64 f n)
n
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 #s(literal -1 binary64) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
#s(literal -1 binary64)
(-.f64 f n)
f
n
(+.f64 n f)
(+.f64 f n)
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f)))
(-.f64 (neg.f64 f) n)
#s(literal 1 binary64)
(/.f64 #s(literal -1 binary64) (+.f64 n f))
(/.f64 #s(literal -1 binary64) (+.f64 f n))
#s(literal -1 binary64)
(+.f64 n f)
(+.f64 f n)
n
f
(-.f64 f n)

localize55.0ms (0.9%)

Memory
16.3MiB live, 53.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 n f)
accuracy0.00390625
(/.f64 #s(literal -1 binary64) (+.f64 n f))
accuracy0.0078125
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n))
accuracy0.19140625
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f)))
accuracy0
(-.f64 f n)
accuracy0
(+.f64 n f)
accuracy0.00390625
(/.f64 #s(literal -1 binary64) (-.f64 f n))
accuracy0.171875
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f))
accuracy0
(-.f64 f n)
accuracy0
(neg.f64 f)
accuracy0.0078125
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
accuracy32.98879519215916
#s(approx (neg (+ f n)) (neg.f64 f))
accuracy33.56714649586069
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
accuracy0
(-.f64 n f)
accuracy0
(+.f64 n f)
accuracy0.0078125
(/.f64 (+.f64 n f) (-.f64 n f))
Samples
42.0ms254×0valid
1.0ms2×5exit
Compiler

Compiled 101 to 19 computations (81.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-neg: 13.0ms (42.5% of total)
ival-div: 9.0ms (29.4% of total)
ival-add: 4.0ms (13.1% of total)
ival-sub: 2.0ms (6.5% of total)
ival-mult: 1.0ms (3.3% 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)

series44.0ms (0.8%)

Memory
-21.6MiB live, 22.0MiB allocated
Counts
13 → 300
Calls
Call 1
Inputs
#s(alt (/.f64 (+.f64 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())
#s(alt (+.f64 n f) (patch (+.f64 n f) #<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 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (-.f64 f n)) (patch (/.f64 #s(literal -1 binary64) (-.f64 f n)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.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>) () ())
Outputs
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 (+.f64 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 (+.f64 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (+.f64 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.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 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt n (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#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 (taylor 0 f) (#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 (+ 1 (* 2 (/ f n))) (taylor 0 f) (#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 (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#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 (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n))))) (taylor 0 f) (#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 1 (taylor 0 f) (#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 (+ 1 (* 2 (/ f n))) (taylor 0 f) (#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 (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#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 (+ 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)) (neg.f64 f)) (-.f64 f n)) (patch (/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 f) n) (taylor 0 f) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<representation binary64>) () ())) ())
#s(alt (* -1 f) (taylor 0 f) (#s(alt (neg.f64 f) (patch (neg.f64 f) #<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 1 (taylor 0 f) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.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 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.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 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ 1 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 n) (/ f (pow n 2))) (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 (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 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 (+ (* 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 f n)) (patch (/.f64 #s(literal -1 binary64) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (+ (* -1 f) (* -1 n)) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.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 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) #<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 (- (/ f (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 (- (* f (+ (* -1 (/ f (pow n 3))) (/ 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 (- (* f (+ (* f (- (/ f (pow n 4)) (/ 1 (pow n 3)))) (/ 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 (taylor inf f) (#s(alt (/.f64 (+.f64 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ n f)) (+ 1 (/ n f))) (taylor inf f) (#s(alt (/.f64 (+.f64 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.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 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.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 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
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#s(alt (* n (- (* -1 (/ f n)) 1)) (taylor inf n) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (* -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 (/ (- (/ (pow f 3) (pow n 3)) (+ 1 (+ (* -1 (/ f n)) (/ (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 (taylor -inf n) (#s(alt (/.f64 (+.f64 n f) (-.f64 n f)) (patch (/.f64 (+.f64 n f) (-.f64 n f)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (taylor -inf n) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (* -1 (/ f n)) 1))) (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 1 (taylor -inf n) (#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>) () ())) ())
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#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 #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>) () ())) ())
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#s(alt (+ 1 (* -1 (/ (- (* -1 f) f) n))) (taylor -inf n) (#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 (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n))) (taylor -inf n) (#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 (+ 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 #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 (* -1 n) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (neg (+ f n)) (neg.f64 f)) (patch #s(approx (neg (+ f n)) (neg.f64 f)) #<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>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.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 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.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 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) (patch (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (/ 1 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 (/ (- (* -1 (/ f n)) 1) 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 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) 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 (/ (- (* -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 f n)) (patch (/.f64 #s(literal -1 binary64) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) (taylor -inf n) (#s(alt (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) #<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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) (patch (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n)) #<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 (* -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 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) (* -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 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)) (* -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>) () ())) ())
Calls

6 calls:

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

simplify211.0ms (3.7%)

Memory
9.0MiB live, 174.1MiB allocated
Algorithm
1×egg-herbie
Rules
12 176×lower-fma.f64
12 176×lower-fma.f32
3 482×lower-*.f64
3 482×lower-*.f32
3 038×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03672887
111762655
234852407
082102218
Stop Event
1×iter limit
1×node limit
Counts
300 → 288
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ f n)
(+ f n)
(+ f n)
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 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 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 n)
(- f n)
(- 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 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 n)
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 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 n)
(- (/ f (pow n 2)) (/ 1 n))
(- (* f (+ (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))
(- (* f (+ (* f (- (/ f (pow n 4)) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
-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 (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(/ -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)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(/ -1 f)
(/ (- (/ n f) 1) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (* -1 (/ n f)))) f)
(/ (- (/ (pow n 3) (pow f 3)) (+ 1 (+ (* -1 (/ n f)) (/ (pow n 2) (pow f 2))))) 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)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ 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 (/ 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
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(/ -1 f)
(* -1 (/ (+ 1 (/ n f)) 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)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(/ -1 f)
(* -1 (/ (+ 1 (* -1 (/ n f))) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) (* -1 n)) f))) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (* -1 (pow n 2))) f)) (* -1 n)) f))) f))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
f
(+ f n)
(+ f n)
(+ f n)
(* -1 f)
(- n f)
(- n f)
(- n f)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
-1
(- (* -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 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
-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 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 f)
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
-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 f)
(- (/ n (pow f 2)) (/ 1 f))
(- (* n (+ (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(- (* n (+ (* n (- (/ n (pow f 4)) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
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)))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
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 (/ (* 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 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 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 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)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 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 n)
(/ (- (/ f n) 1) n)
(/ (- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (* -1 (/ f n)))) n)
(/ (- (/ (pow f 3) (pow n 3)) (+ 1 (+ (* -1 (/ f n)) (/ (pow f 2) (pow n 2))))) n)
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
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
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 (* -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 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
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 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 (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
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 n)
(* -1 (/ (+ 1 (* -1 (/ f n))) n))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) (* -1 f)) n))) n))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)) (* -1 f)) n))) n))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (+.f64 f f) (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (+.f64 f f) (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (+.f64 f f) (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(* -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)
(* -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)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (+.f64 f f) (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(+ (/ 1 n) (/ f (pow n 2)))
(/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(fma.f64 (/.f64 f (*.f64 (*.f64 n n) n)) f (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(fma.f64 (fma.f64 (/.f64 f (pow.f64 n #s(literal 4 binary64))) f (/.f64 f (*.f64 (*.f64 n n) n))) f (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n))
(* -1 n)
(neg.f64 n)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (+.f64 f f) (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
(- (/ f (pow n 2)) (/ 1 n))
(/.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(- (* f (+ (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 f) (/.f64 f n) f) n) #s(literal 1 binary64)) n)
(- (* f (+ (* f (- (/ f (pow n 4)) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))
(fma.f64 (*.f64 f f) (-.f64 (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n n) n))) (/.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 (*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
f
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* f (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) f f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(fma.f64 (/.f64 n f) f (neg.f64 f))
(* f (- (/ n f) 1))
(fma.f64 (/.f64 n f) f (neg.f64 f))
(* f (- (/ n f) 1))
(fma.f64 (/.f64 n f) f (neg.f64 f))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 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 (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 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 (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
f
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(* f (+ 1 (* -1 (/ n f))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 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 (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) (fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64)))
(/ -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 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f)) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/.f64 (neg.f64 (fma.f64 n (*.f64 (/.f64 n (*.f64 (*.f64 f f) f)) n) (fma.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 n f) #s(literal 1 binary64)))) f)
(* -1 f)
(neg.f64 f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
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(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 (/.f64 f n) n n)
n
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (* n (- (/ f n) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (+.f64 f f) (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) 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 (/.f64 (fma.f64 f #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (+.f64 f f) (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) 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 (/.f64 (fma.f64 f #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64))
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (+.f64 f f) (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) 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 (/.f64 (fma.f64 f #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(/.f64 (fma.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 f n) #s(literal 1 binary64)) n)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n) f) n) #s(literal 1 binary64)) n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
(* -1 (* n (+ 1 (/ f n))))
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 f n)) n)
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (+.f64 f f) (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) 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 (/.f64 (fma.f64 f #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64))
(/ -1 n)
(/.f64 #s(literal -1 binary64) n)
(* -1 (/ (+ 1 (* -1 (/ f n))) n))
(/.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64)) n)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) (* -1 f)) n))) n))
(/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 f) (/.f64 f n) f) n) #s(literal 1 binary64)) n)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (* -1 (pow f 2))) n)) (* -1 f)) n))) n))
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 f (*.f64 f (-.f64 (/.f64 f n) #s(literal 1 binary64)))) n) f) n) #s(literal -1 binary64)) n)

rewrite188.0ms (3.3%)

Memory
-0.4MiB live, 353.5MiB allocated
Rules
4 456×lower-*.f32
4 454×lower-*.f64
4 328×lower-fma.f64
4 328×lower-fma.f32
2 684×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02183
03274
113274
296973
0900973
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
13 → 1 778
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(+.f64 n f)
(-.f64 n f)
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (neg (+ f n)) (neg.f64 f))
(neg.f64 f)
(-.f64 f n)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f))
(/.f64 #s(literal -1 binary64) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n))
(/.f64 #s(literal -1 binary64) (+.f64 n f))
Outputs
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (pow.f64 (-.f64 (neg.f64 f) n) #s(literal 1/2 binary64))) (pow.f64 (-.f64 (neg.f64 f) n) #s(literal 1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))) (fma.f64 f (+.f64 f n) (*.f64 n n)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))) (fma.f64 f (+.f64 f n) (*.f64 n n)))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))) (fma.f64 f (+.f64 f n) (*.f64 n n)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) #s(literal 1 binary64)) (+.f64 f n))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) #s(literal -1 binary64)) (-.f64 (neg.f64 f) n))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 1 binary64)) (-.f64 (neg.f64 f) n))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) #s(literal 1 binary64)) (+.f64 f n))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 (-.f64 n f) (+.f64 f n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (+.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) #s(literal 1 binary64)) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n))) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)) (*.f64 (-.f64 n f) (+.f64 f n))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 (+.f64 f n) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 n f)))
(*.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 f) n) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 (neg.f64 f) n) #s(literal 1/2 binary64)) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (-.f64 f n) (+.f64 f n)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (-.f64 f n) (+.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n))) (-.f64 f n)))
(*.f64 (/.f64 (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n))) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (-.f64 f n) (+.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (-.f64 f n) (+.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (-.f64 f n) (+.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 n f)))
(*.f64 (/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (-.f64 f n) (+.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (+.f64 f n))) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (-.f64 f n) (+.f64 f n)))) (-.f64 (neg.f64 f) n))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (-.f64 f n) (+.f64 f n))) (/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) (/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n)))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal -1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (+.f64 f n))) (/.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) #s(literal 1 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) #s(literal 1 binary64)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 (neg.f64 f) n)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) #s(literal -1 binary64)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (+.f64 f n)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 (+.f64 f n) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n))) (/.f64 #s(literal -1 binary64) (+.f64 f n))) (+.f64 f n))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n))) #s(literal 1 binary64)) (*.f64 (-.f64 (neg.f64 f) n) (+.f64 f n)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n))) #s(literal -1 binary64)) (*.f64 (+.f64 f n) (+.f64 f n)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 n f)))
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(fma.f64 (*.f64 n (-.f64 n f)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f))) (*.f64 (*.f64 f f) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))))
(fma.f64 (*.f64 n n) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f))) (*.f64 (*.f64 f (-.f64 f n)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))))
(fma.f64 (*.f64 f f) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f))) (*.f64 (*.f64 n (-.f64 n f)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))))
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n))) (*.f64 n (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n)))))
(fma.f64 f (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n))) (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n)))))
(fma.f64 n (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n))) (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n)))))
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 n n) n) (fma.f64 f (+.f64 f n) (*.f64 n n))) (*.f64 (-.f64 f n) (+.f64 f n))) (/.f64 (/.f64 (*.f64 (*.f64 f f) f) (fma.f64 f (+.f64 f n) (*.f64 n n))) (*.f64 (-.f64 f n) (+.f64 f n))))
(-.f64 (/.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (*.f64 (-.f64 f n) (+.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (*.f64 (-.f64 f n) (+.f64 f n))))
(-.f64 (/.f64 n (*.f64 (-.f64 f n) (+.f64 f n))) (/.f64 f (*.f64 (-.f64 f n) (+.f64 f n))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(exp.f64 (neg.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 f) n))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 f) n))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 (neg.f64 f) n)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (neg.f64 f) n))) #s(literal 1 binary64)))
(+.f64 (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n)))) (*.f64 n (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n)))))
(+.f64 (*.f64 (*.f64 f (-.f64 f n)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (*.f64 (*.f64 n n) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))))
(+.f64 (*.f64 (*.f64 n n) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (*.f64 (*.f64 f (-.f64 f n)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))))
(+.f64 (*.f64 (*.f64 n (-.f64 n f)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (*.f64 (*.f64 f f) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))))
(+.f64 (*.f64 (*.f64 f f) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))) (*.f64 (*.f64 n (-.f64 n f)) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f)))))
(+.f64 (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n)))) (*.f64 f (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n)))))
(+.f64 (*.f64 f (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n)))) (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n)))))
(+.f64 (*.f64 n (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n)))) (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n)))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n))) (neg.f64 f)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n))) n))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f))) (*.f64 f (-.f64 f n))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f))) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f))) (*.f64 f (-.f64 f n))))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f))) (*.f64 n (-.f64 n f))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f))) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f))) (*.f64 f f)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 n n) n (*.f64 (*.f64 f f) f))) (*.f64 n (-.f64 n f))))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n))) (neg.f64 n)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n))) f))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n))) f) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 f n))) (neg.f64 n)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n))) n) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (+.f64 f n))) (neg.f64 f)))

eval581.0ms (10.1%)

Memory
6.4MiB live, 743.0MiB allocated
Compiler

Compiled 65 611 to 3 952 computations (94% saved)

prune356.0ms (6.2%)

Memory
-1.4MiB live, 563.7MiB allocated
Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New2 68442 688
Fresh314
Picked145
Done000
Total2 68892 697
Accuracy
100.0%
Counts
2 697 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
▶87.8%
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
▶47.7%
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
▶53.4%
(/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n))
✓47.9%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
▶100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
✓99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f))
▶52.5%
#s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64))
✓46.8%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 127 to 76 computations (40.2% saved)

simplify148.0ms (2.6%)

Memory
32.6MiB live, 110.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
cost-diff1024
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
cost-diff0
(neg.f64 f)
cost-diff0
#s(approx (- n f) (neg.f64 f))
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
cost-diff0
(-.f64 f n)
cost-diff0
(neg.f64 n)
cost-diff0
#s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n))
cost-diff0
(/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n))
cost-diff0
#s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64))
cost-diff0
(+.f64 n f)
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 (-.f64 n f) (+.f64 n f))
cost-diff704
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
Rules
3 548×lower-fma.f64
3 548×lower-fma.f32
2 572×lower-*.f32
2 570×lower-*.f64
1 952×div-sub
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
027140
040130
161127
2108125
3201124
4586116
51197116
62608116
74928116
86627116
97237116
107413116
117454116
127628116
08004116
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
n
f
(+.f64 n f)
#s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n))
#s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
(+.f64 n f)
n
f
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
(+.f64 n f)
n
f
#s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(-.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal 1 binary64)
(/.f64 f n)
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
#s(literal 1 binary64)
(/.f64 (-.f64 n f) (+.f64 n f))
(/.f64 (-.f64 n f) (+.f64 f n))
(-.f64 n f)
n
f
(+.f64 n f)
(+.f64 f n)
#s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n))
#s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
(/.f64 (+.f64 f n) #s(approx (- n f) (neg.f64 f)))
(+.f64 n f)
(+.f64 f n)
n
f
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
(/.f64 (+.f64 f n) #s(approx (- n f) (-.f64 n f)))
(+.f64 n f)
(+.f64 f n)
n
f
#s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))
#s(approx (- n f) (-.f64 n f))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(-.f64 n f)
(-.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal 1 binary64)
(/.f64 f n)

localize51.0ms (0.9%)

Memory
-15.5MiB live, 96.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0
(+.f64 n f)
accuracy0
#s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))
accuracy0.0078125
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
accuracy7.460098129276052
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
accuracy0
(+.f64 n f)
accuracy0
(neg.f64 f)
accuracy0.0078125
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
accuracy32.89036088612821
#s(approx (- n f) (neg.f64 f))
accuracy0
(-.f64 f n)
accuracy0
(neg.f64 n)
accuracy0.0078125
(/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n))
accuracy29.51540590761668
#s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n))
accuracy30.026671832021584
#s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64))
accuracy0
(-.f64 n f)
accuracy0
(+.f64 n f)
accuracy0.00390625
(/.f64 (-.f64 n f) (+.f64 n f))
accuracy0.01953125
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
Samples
36.0ms254×0valid
1.0ms2×5exit
Compiler

Compiled 112 to 20 computations (82.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-div: 11.0ms (45.6% of total)
ival-sub: 5.0ms (20.7% of total)
ival-neg: 4.0ms (16.6% of total)
ival-mult: 2.0ms (8.3% of total)
ival-add: 1.0ms (4.1% 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)

series34.0ms (0.6%)

Memory
-31.8MiB live, 34.6MiB allocated
Counts
15 → 336
Calls
Call 1
Inputs
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 n f) (+.f64 n f)) (patch (/.f64 (-.f64 n f) (+.f64 n f)) #<representation binary64>) () ())
#s(alt (-.f64 n f) (patch (-.f64 n f) #<representation binary64>) () ())
#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64)) (patch #s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n)) (patch (/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n)) #<representation binary64>) () ())
#s(alt #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (patch #s(approx (/ 1 (/ -1 (+ n f))) (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 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #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 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) #<representation binary64>) () ())
#s(alt #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (patch #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) #<representation binary64>) () ())
Outputs
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.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 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 f) (#s(alt (/.f64 (-.f64 n f) (+.f64 n f)) (patch (/.f64 (-.f64 n f) (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -2 (/ f n))) (taylor 0 f) (#s(alt (/.f64 (-.f64 n f) (+.f64 n f)) (patch (/.f64 (-.f64 n f) (+.f64 n f)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt (/.f64 (-.f64 n f) (+.f64 n f)) (patch (/.f64 (-.f64 n f) (+.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 n f) (+.f64 n f)) (patch (/.f64 (-.f64 n f) (+.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 n (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt (+ f n) (taylor 0 f) (#s(alt (+.f64 n f) (patch (+.f64 n f) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 f) (#s(alt #s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64)) (patch #s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 2 (/ f n))) (taylor 0 f) (#s(alt #s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64)) (patch #s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n))))) (taylor 0 f) (#s(alt #s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64)) (patch #s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
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#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 #s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64)) (patch #s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n)) (patch (/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt (/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n)) (patch (/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) (taylor -inf n) (#s(alt (/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n)) (patch (/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n)) #<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 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n)) (patch (/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (patch #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (patch #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (patch #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (+ 1 (/ f n)))) (taylor -inf n) (#s(alt #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (patch #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 n) (patch (neg.f64 n) #<representation binary64>) () ())) ())
#s(alt (* -1 n) (taylor -inf n) (#s(alt (neg.f64 n) (patch (neg.f64 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>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 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 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 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 n f) #s(approx (- n f) (neg.f64 f))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f))) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt #s(approx (- n f) (neg.f64 f)) (patch #s(approx (- n f) (neg.f64 f)) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) (patch (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n) #<representation binary64>) () ())) ())
#s(alt 1 (taylor -inf n) (#s(alt (/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) #<representation binary64>) () ())) ())
#s(alt (- (+ 1 (/ f n)) (* -1 (/ f n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n))) (taylor -inf n) (#s(alt (/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) #<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 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (patch (/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) #<representation binary64>) () ())) ())
#s(alt n (taylor -inf n) (#s(alt #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (patch #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (patch #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (patch #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* n (- (/ f n) 1))) (taylor -inf n) (#s(alt #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (patch #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) #<representation binary64>) () ())) ())
Calls

6 calls:

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

simplify164.0ms (2.8%)

Memory
20.5MiB live, 210.5MiB allocated
Algorithm
1×egg-herbie
Rules
15 526×lower-fma.f64
15 526×lower-fma.f32
3 250×lower-*.f64
3 250×lower-*.f32
2 300×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02442575
17882311
224872067
375602067
080531865
Stop Event
1×iter limit
1×node limit
Counts
336 → 315
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 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
n
(+ f n)
(+ 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 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(* -1 n)
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(* -1 n)
(- f n)
(- 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)))))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 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)))))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (/ n f) (+ 1 (* -1 (/ n f))))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
-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
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
-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
(- (* -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 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
-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 (* 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 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
-1
(- (* 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 f)
(- n f)
(- n f)
(- n f)
f
(+ f n)
(+ f n)
(+ f n)
-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
(- (* -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 f)
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(+ (* -1 f) (* -1 n))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
-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 f)
(- n f)
(- n f)
(- n f)
(* -1 f)
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(* -1 f)
(- n f)
(- n f)
(- n f)
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 (* -1 (/ f n))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
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 (/ (* 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 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 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)))))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
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)))))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
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 (* -1 (/ f n))) (/ f n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
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 (/ 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 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 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
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
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
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
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ f n)))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64))
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(* -1 n)
(neg.f64 n)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (/ n f) (+ 1 (* -1 (/ n f))))
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
(fma.f64 (*.f64 n (/.f64 n (*.f64 (*.f64 f f) f))) (+.f64 n n) (fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64)))
(* -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)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 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 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 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 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
(* -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)
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)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
(* -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)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 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
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 (/.f64 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
(* -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
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #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 (fma.f64 n #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(-.f64 (/.f64 (+.f64 (+.f64 (/.f64 (*.f64 (+.f64 n n) (-.f64 (*.f64 n (/.f64 n f)) n)) f) n) n) f) #s(literal 1 binary64))
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #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 (fma.f64 n #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #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 (fma.f64 n #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) 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)
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)
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #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 (fma.f64 n #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) 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 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 (+ 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 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #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 (fma.f64 n #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) 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)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 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 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* 2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal 2 binary64)) #s(literal -1 binary64))
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 (fma.f64 (fma.f64 (/.f64 n (*.f64 (*.f64 f f) f)) #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) (*.f64 f f))) n (/.f64 #s(literal 2 binary64) f)) n #s(literal -1 binary64))
(* -1 f)
(neg.f64 f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 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 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 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 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
(* -1 f)
(neg.f64 f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(+ (* -1 f) (* -1 n))
(-.f64 (neg.f64 n) f)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 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 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
(* -1 f)
(neg.f64 f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) n #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 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 #s(literal -2 binary64) f) n (fma.f64 (*.f64 (/.f64 n (*.f64 f f)) #s(literal -2 binary64)) (fma.f64 n (/.f64 n f) n) #s(literal -1 binary64)))
(* -1 f)
(neg.f64 f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ f n))) (/ f n))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 f (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) f (/.f64 #s(literal -2 binary64) n)) f #s(literal 1 binary64))
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
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
(* -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)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 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
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
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
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64)))
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)
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (fma.f64 f #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ f n))) (/ f n))
(fma.f64 #s(literal -2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(fma.f64 (/.f64 f n) (fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal -2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 f f) (/.f64 (*.f64 f (*.f64 f (fma.f64 (/.f64 #s(literal -2 binary64) n) f #s(literal 2 binary64)))) n)) n))
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
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (fma.f64 f #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (fma.f64 f #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64))
(* -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 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 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 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (fma.f64 f #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64))
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
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (+.f64 (/.f64 f n) #s(literal 1 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 (/.f64 (fma.f64 f #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n) #s(literal 1 binary64))
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)

rewrite177.0ms (3.1%)

Memory
13.3MiB live, 167.1MiB allocated
Rules
4 026×lower-/.f32
4 014×lower-/.f64
3 660×lower-*.f32
3 658×lower-*.f64
3 336×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
027115
040109
1152104
21070103
09081103
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 880
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (-.f64 n f) (+.f64 n f))
(-.f64 n f)
(+.f64 n f)
#s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n))
#s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n))
(neg.f64 n)
(-.f64 f n)
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
#s(approx (- n f) (neg.f64 f))
(neg.f64 f)
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
#s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))
Outputs
(*.f64 (/.f64 (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n))) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) #s(literal 1 binary64)) (+.f64 f n))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 f n) (+.f64 f n)))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 n f) (+.f64 f n))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 n f) (+.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 n f) (+.f64 f n))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n)))) (/.f64 (+.f64 f n) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 n f) (+.f64 f n))) (/.f64 #s(literal -1 binary64) (+.f64 f n))) (+.f64 f n))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)) (*.f64 (+.f64 f n) (+.f64 f n)))
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(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) n)) (+.f64 (/.f64 (neg.f64 f) n) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 n n) 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 n (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))))) (+.f64 (/.f64 (neg.f64 f) n) #s(literal -1 binary64)))
(/.f64 (neg.f64 (*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 n n) n))))) (neg.f64 (fma.f64 (/.f64 f n) (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) n) (+.f64 (/.f64 f n) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 n n) n))) n) (fma.f64 (/.f64 f n) (+.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (+.f64 (/.f64 f n) #s(literal 1 binary64)))
(/.f64 (*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 n n) n)))) (fma.f64 (/.f64 f n) (+.f64 (/.f64 f n) #s(literal 1 binary64)) #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 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n 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 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 n n) n))) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 f n) #s(literal 1 binary64)) (*.f64 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 n (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) f) (*.f64 (*.f64 n n) n))))))
(fma.f64 (neg.f64 n) #s(literal -1 binary64) (*.f64 (/.f64 (neg.f64 f) n) n))
(fma.f64 (neg.f64 n) #s(literal -1 binary64) (*.f64 n (/.f64 (neg.f64 f) n)))
(fma.f64 #s(literal -1 binary64) (neg.f64 n) (*.f64 (/.f64 (neg.f64 f) n) n))
(fma.f64 #s(literal -1 binary64) (neg.f64 n) (*.f64 n (/.f64 (neg.f64 f) n)))
(fma.f64 n (/.f64 (neg.f64 f) n) n)
(fma.f64 n #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 f) n) n))
(fma.f64 n #s(literal 1 binary64) (*.f64 n (/.f64 (neg.f64 f) n)))
(fma.f64 #s(literal 1 binary64) n (*.f64 (/.f64 (neg.f64 f) n) n))
(fma.f64 #s(literal 1 binary64) n (*.f64 n (/.f64 (neg.f64 f) n)))
(+.f64 (*.f64 n (/.f64 (neg.f64 f) n)) n)
(+.f64 n (*.f64 (/.f64 (neg.f64 f) n) n))
(+.f64 n (*.f64 n (/.f64 (neg.f64 f) n)))
(*.f64 (pow.f64 (/.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (+.f64 f n)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (+.f64 f n)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n)))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (/.f64 (+.f64 f n) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 f) n) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 (neg.f64 f) n) #s(literal 1/2 binary64)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(*.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (-.f64 n f)))
(*.f64 (pow.f64 (/.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (*.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 f n)))
(*.f64 (pow.f64 (/.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) (/.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (/.f64 #s(literal -1 binary64) (-.f64 f n)))
(*.f64 (/.f64 (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (/.f64 #s(literal 1 binary64) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(*.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))))
(*.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (-.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (+.f64 f n))
(*.f64 (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))))
(*.f64 (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n)) (/.f64 #s(literal 1 binary64) (*.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (fma.f64 f (-.f64 f n) (*.f64 n n)))))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 #s(literal -1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(*.f64 (/.f64 (+.f64 f n) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (/.f64 (-.f64 n f) (-.f64 n f)))
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (neg.f64 f) n) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(*.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(pow.f64 (/.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (+.f64 f n)) #s(literal -1 binary64))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))) (-.f64 f n))
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))) (neg.f64 (fma.f64 f (-.f64 f n) (*.f64 n n))))
(/.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (-.f64 n f))
(/.f64 (/.f64 (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (fma.f64 f (-.f64 f n) (*.f64 n n)))
(/.f64 (neg.f64 (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n))) (neg.f64 (*.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n))) (neg.f64 (*.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (fma.f64 f (-.f64 f n) (*.f64 n n)))))
(/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (neg.f64 (*.f64 (-.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))))
(/.f64 (*.f64 (-.f64 f n) (+.f64 f n)) (neg.f64 (*.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (-.f64 n f))))
(/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (-.f64 n f)))
(/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) (*.f64 (-.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(/.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(/.f64 (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n)) (*.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (fma.f64 f (-.f64 f n) (*.f64 n n))))
(/.f64 (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n)) (*.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(/.f64 (-.f64 (neg.f64 f) n) (neg.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (-.f64 (neg.f64 f) n)))
(/.f64 (+.f64 f n) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (/.f64 (*.f64 (-.f64 n f) (+.f64 f n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) (/.f64 (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (*.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 f (-.f64 f n) (*.f64 n n)) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (-.f64 n f)) (*.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (fma.f64 f (-.f64 f n) (*.f64 n n))) (fma.f64 (*.f64 f f) f (*.f64 (*.f64 n n) n))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (+.f64 f n)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (+.f64 f n))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 f) n) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))))
(neg.f64 (/.f64 (-.f64 (neg.f64 f) n) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) f (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) n))
(fma.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) n (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) f))
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (/.f64 (-.f64 (neg.f64 f) n) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(-.f64 (/.f64 (*.f64 n n) (*.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (-.f64 n f))) (/.f64 (*.f64 f f) (*.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (-.f64 n f))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))) (/.f64 (-.f64 (neg.f64 f) n) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(-.f64 (/.f64 (*.f64 n (/.f64 n (-.f64 n f))) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (/.f64 (*.f64 f (/.f64 f (-.f64 n f))) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (neg.f64 f) n) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) (+.f64 f n))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) f) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) n))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) n) (*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) f))
(*.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(*.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
#s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))
(/.f64 (neg.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))) #s(literal -1 binary64))
(/.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(neg.f64 (neg.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))))

eval401.0ms (7%)

Memory
8.1MiB live, 228.3MiB allocated
Compiler

Compiled 28 543 to 2 694 computations (90.6% saved)

prune902.0ms (15.6%)

Memory
-6.1MiB live, 276.0MiB allocated
Pruning

9 alts after pruning (0 fresh and 9 done)

PrunedKeptTotal
New1 38501 385
Fresh000
Picked055
Done044
Total1 38591 394
Accuracy
100.0%
Counts
1 394 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓100.0%
(/.f64 (+.f64 n f) (-.f64 n f))
✓87.8%
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
✓47.7%
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
✓53.4%
(/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n))
✓47.9%
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
✓100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
✓99.7%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f))
✓52.5%
#s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64))
✓46.8%
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Compiler

Compiled 210 to 84 computations (60% saved)

regimes13.0ms (0.2%)

Memory
17.6MiB live, 17.6MiB allocated
Counts
14 → 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 (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 n f) #s(approx (- n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 f n))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (+.f64 n f) (-.f64 f n)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n))))))
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
Calls

3 calls:

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

Compiled 16 to 10 computations (37.5% saved)

regimes8.0ms (0.1%)

Memory
12.4MiB live, 12.4MiB 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 (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (neg.f64 n)) (-.f64 f n))
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
Outputs
(/.f64 (+.f64 n f) #s(approx (- n f) (neg.f64 f)))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
Calls

3 calls:

3.0ms
n
3.0ms
f
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
79.9%3f
75.2%3n
97.8%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes14.0ms (0.2%)

Memory
-34.3MiB live, 4.2MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
#s(approx (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 n)) (-.f64 f n))
(/.f64 #s(approx (/ 1 (/ -1 (+ n f))) (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:

13.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.7%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
5.3MiB live, 5.3MiB 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 (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64))
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
Outputs
(/.f64 #s(approx (neg (+ f n)) (neg.f64 f)) (-.f64 f n))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

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

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
4.3MiB live, 4.3MiB 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 (/ (/ 1 (/ -1 (+ n f))) (- f n)) #s(literal 1 binary64))
Outputs
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64))
Calls

1 calls:

1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
97.7%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.1%)

Memory
10.8MiB live, 10.8MiB 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
46.8%1n
46.8%1f
46.8%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9712861337188072
0.8775987150420507
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9712861337188072
0.8775987150420507
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9712861337188072
0.8775987150420507
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch15.0ms (0.3%)

Memory
-16.1MiB live, 23.3MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-0.9712861337188072
0.8775987150420507
Samples
6.0ms240×0valid
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 (0.2%)

Memory
12.3MiB live, 12.3MiB allocated
Algorithm
1×egg-herbie
Rules
62×unsub-neg_binary64
38×neg-mul-1_binary64
20×+-commutative_binary64
20×sub-neg_binary64
20×neg-sub0_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
034145
150145
264145
375141
489141
5115141
6129141
7153141
8182141
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 n f) #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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64)) #s(approx (/ (neg (+ f n)) (- f n)) #s(literal 1 binary64)))
#s(approx (/ (neg (+ f n)) (- f n)) #s(literal -1 binary64))
Outputs
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (/.f64 (+.f64 n f) #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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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))

soundness635.0ms (11%)

Memory
13.0MiB live, 483.9MiB allocated
Rules
14 778×lower-fma.f64
14 778×lower-fma.f32
12 176×lower-fma.f64
12 176×lower-fma.f32
3 728×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03672887
111762655
234852407
082102218
0145539
1448504
21333469
35177459
08641432
0618
01018
14618
232717
0553017
Stop Event
1×done
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 178 to 76 computations (57.3% saved)

preprocess36.0ms (0.6%)

Memory
6.6MiB live, 83.2MiB allocated
Compiler

Compiled 204 to 54 computations (73.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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