subtraction fraction

Time bar (total: 7.6s)

analyze21.0ms (0.3%)

Memory
24.3MiB live, 24.3MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample571.0ms (7.5%)

Memory
16.4MiB live, 743.6MiB allocated
Samples
376.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 213.0ms
ival-div: 80.0ms (37.6% of total)
ival-add: 47.0ms (22.1% of total)
ival-sub: 40.0ms (18.8% of total)
ival-neg: 37.0ms (17.4% of total)
ival-true: 5.0ms (2.4% of total)
ival-assert: 3.0ms (1.4% of total)
Bogosity

preprocess76.0ms (1%)

Memory
-9.5MiB live, 70.5MiB allocated
Algorithm
egg-herbie
Rules
446×times-frac
332×div-sub
304×accelerator-lowering-fma.f32
304×accelerator-lowering-fma.f64
224×div-sub
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02254
17242
219642
354742
4142442
5162842
6165642
7172442
8178142
068
1178
2378
3747
41597
53037
66007
77237
87557
97717
107727
07727
Stop Event
iter limit
saturated
saturated
Calls
Call 1
Inputs
(/ (neg (+ f n)) (- f n))
Outputs
(/ (neg (+ f n)) (- f n))
(/.f64 (+.f64 f n) (-.f64 n f))
Call 2
Inputs
(/ (neg (+ f n)) (- f n))
(/ (neg (+ (neg f) n)) (- (neg f) n))
(/ (neg (+ f (neg n))) (- f (neg n)))
(neg (/ (neg (+ (neg f) n)) (- (neg f) n)))
(neg (/ (neg (+ f (neg n))) (- f (neg n))))
(/ (neg (+ n f)) (- n f))
Outputs
(/ (neg (+ f n)) (- f n))
(/ (+ f n) (- n f))
(/ (neg (+ (neg f) n)) (- (neg f) n))
(/ (- n f) (+ f n))
(/ (neg (+ f (neg n))) (- f (neg n)))
(/ (- n f) (+ f n))
(neg (/ (neg (+ (neg f) n)) (- (neg f) n)))
(/ (- f n) (+ f n))
(neg (/ (neg (+ f (neg n))) (- f (neg n))))
(/ (- f n) (+ f n))
(/ (neg (+ n f)) (- n f))
(/ (+ f n) (- f n))

explain63.0ms (0.8%)

Memory
-0.7MiB live, 119.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
00-0-(-.f64 f n)
00-0-f
00-0-n
00-0-(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
27.0ms512×0valid
Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 3.0ms (25.7% of total)
ival-div: 3.0ms (25.7% of total)
ival-add: 3.0ms (25.7% of total)
ival-neg: 2.0ms (17.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify28.0ms (0.4%)

Memory
7.5MiB live, 46.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff-64
(neg.f64 (+.f64 f n))
cost-diff0
(-.f64 f n)
cost-diff0
(+.f64 f n)
cost-diff192
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Rules
304×accelerator-lowering-fma.f32
304×accelerator-lowering-fma.f64
224×div-sub
176×*-lowering-*.f32
176×*-lowering-*.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0620
11720
23720
37419
415919
530319
660019
772319
875519
977119
1077219
077219
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (neg (+ f n)) (- f n))
(neg (+ f n))
(+ f n)
f
n
(- f n)
Outputs
(/ (neg (+ f n)) (- f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(neg (+ f n))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(+ f n)
(+.f64 f n)
f
n
(- f n)
(-.f64 f n)

localize20.0ms (0.3%)

Memory
-2.8MiB live, 34.2MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 f n)
accuracy100.0%
(+.f64 f n)
accuracy100.0%
(neg.f64 (+.f64 f n))
accuracy99.9%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
14.0ms256×0valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-sub: 3.0ms (39.4% of total)
ival-div: 2.0ms (26.3% of total)
ival-add: 1.0ms (13.1% of total)
ival-neg: 1.0ms (13.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
9.6MiB live, 9.6MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/ (neg (+ f n)) (- f n))>
#<alt (+ f n)>
#<alt (- f n)>
#<alt (neg (+ f n))>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
Calls

24 calls:

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

rewrite331.0ms (4.4%)

Memory
3.0MiB live, 335.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
2 824×*-lowering-*.f32
2 824×*-lowering-*.f64
2 620×/-lowering-/.f32
2 620×/-lowering-/.f64
1 912×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0618
14218
232317
0552717
Stop Event
iter limit
iter limit
node limit
Counts
4 → 572
Calls
Call 1
Inputs
(/ (neg (+ f n)) (- f n))
(+ f n)
(- f n)
(neg (+ f n))
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64)) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n))))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f n)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(+.f64 (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (*.f64 (fma.f64 f f (*.f64 n n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(+.f64 (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 n f)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) f) (-.f64 f n)) (/.f64 n (-.f64 f n)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (fma.f64 f f (*.f64 n n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n))))
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f)))
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 f n))
(/.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (*.f64 (-.f64 f n) (-.f64 #s(literal 0 binary64) (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (neg.f64 (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (*.f64 (-.f64 f n) (-.f64 f n))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))) (-.f64 n f)))
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(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (fma.f64 (*.f64 n (-.f64 n f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f))) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f))))) (fma.f64 (*.f64 n (-.f64 n f)) (-.f64 (*.f64 n (-.f64 n f)) (*.f64 f f)) (*.f64 f (*.f64 f (*.f64 f f)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))

simplify568.0ms (7.5%)

Memory
-30.7MiB live, 728.8MiB allocated
Algorithm
egg-herbie
Rules
14 778×accelerator-lowering-fma.f32
14 778×accelerator-lowering-fma.f64
3 728×*-lowering-*.f32
3 728×*-lowering-*.f64
1 970×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145539
1448504
21334469
35181459
08659432
Stop Event
iter limit
node limit
Counts
96 → 96
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
Outputs
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 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (fma.f64 n (/.f64 (+.f64 n n) f) #s(literal 0 binary64)) n)) f))
-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 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(fma.f64 (/.f64 (+.f64 f f) n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 f f) n) (fma.f64 f (/.f64 f n) f) (+.f64 f f)) n))
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
f
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
f
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
n
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
f
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* -1 n)
(-.f64 #s(literal 0 binary64) 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 n)
(-.f64 #s(literal 0 binary64) n)
(- (* -1 f) n)
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(- (* -1 f) n)
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(- (* -1 f) n)
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(- (* -1 n) f)
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(- (* -1 n) f)
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(- (* -1 n) f)
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)

eval75.0ms (1%)

Memory
35.3MiB live, 150.2MiB allocated
Compiler

Compiled 16 293 to 1 652 computations (89.9% saved)

prune128.0ms (1.7%)

Memory
-27.8MiB live, 130.7MiB allocated
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New6599668
Fresh000
Picked101
Done000
Total6609669
Accuracy
100.0%
Counts
669 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
99.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
55.0%
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
46.8%
(/.f64 (neg.f64 (+.f64 f n)) f)
54.7%
(/.f64 (neg.f64 n) (-.f64 f n))
47.3%
(/.f64 (neg.f64 f) (-.f64 f n))
53.6%
#s(literal 1 binary64)
46.0%
#s(literal -1 binary64)
Compiler

Compiled 142 to 90 computations (36.6% saved)

simplify51.0ms (0.7%)

Memory
11.4MiB live, 87.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 n f)
cost-diff0
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
cost-diff-64
(neg.f64 (+.f64 f n))
cost-diff0
(+.f64 f n)
cost-diff192
(/.f64 (neg.f64 (+.f64 f n)) f)
cost-diff-64
(neg.f64 f)
cost-diff0
(-.f64 f n)
cost-diff192
(/.f64 (neg.f64 f) (-.f64 f n))
cost-diff0
(-.f64 n f)
cost-diff0
(+.f64 f n)
cost-diff0
(/.f64 (+.f64 f n) (-.f64 n f))
Rules
624×accelerator-lowering-fma.f32
624×accelerator-lowering-fma.f64
410×times-frac
400×*-lowering-*.f32
400×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01558
13358
26857
312956
423156
539256
698056
7135156
8142556
9146256
10148056
0148055
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (+ f n) (- n f))
(+ f n)
f
n
(- n f)
-1
(/ (neg f) (- f n))
(neg f)
f
(- f n)
n
(/ (neg (+ f n)) f)
(neg (+ f n))
(+ f n)
f
n
(+ (* (/ n f) -2) -1)
(/ n f)
n
f
-2
-1
Outputs
(/ (+ f n) (- n f))
(/.f64 (+.f64 f n) (-.f64 n f))
(+ f n)
(+.f64 f n)
f
n
(- n f)
(-.f64 n f)
-1
#s(literal -1 binary64)
(/ (neg f) (- f n))
(/.f64 f (-.f64 n f))
(neg f)
(-.f64 #s(literal 0 binary64) f)
f
(- f n)
(-.f64 f n)
n
(/ (neg (+ f n)) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(neg (+ f n))
(-.f64 (-.f64 #s(literal 0 binary64) f) n)
(+ f n)
(+.f64 f n)
f
n
(+ (* (/ n f) -2) -1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/ n f)
(/.f64 n f)
n
f
-2
#s(literal -2 binary64)
-1
#s(literal -1 binary64)

localize55.0ms (0.7%)

Memory
3.8MiB live, 92.2MiB allocated
Localize:

Found 11 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
accuracy100.0%
(/.f64 n f)
accuracy100.0%
(+.f64 f n)
accuracy100.0%
(neg.f64 (+.f64 f n))
accuracy100.0%
(/.f64 (neg.f64 (+.f64 f n)) f)
accuracy100.0%
(-.f64 f n)
accuracy100.0%
(neg.f64 f)
accuracy100.0%
(/.f64 (neg.f64 f) (-.f64 f n))
accuracy100.0%
(-.f64 n f)
accuracy100.0%
(+.f64 f n)
accuracy99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
Samples
38.0ms256×0valid
Compiler

Compiled 59 to 17 computations (71.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 23.0ms
ival-div: 14.0ms (59.9% of total)
ival-add: 3.0ms (12.8% of total)
ival-sub: 2.0ms (8.6% of total)
ival-mult: 2.0ms (8.6% of total)
ival-neg: 2.0ms (8.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series14.0ms (0.2%)

Memory
-12.3MiB live, 26.1MiB allocated
Counts
10 → 228
Calls
Call 1
Inputs
#<alt (/ (+ f n) (- n f))>
#<alt (+ f n)>
#<alt (- n f)>
#<alt (/ (neg f) (- f n))>
#<alt (- f n)>
#<alt (neg f)>
#<alt (/ (neg (+ f n)) f)>
#<alt (neg (+ f n))>
#<alt (+ (* (/ n f) -2) -1)>
#<alt (/ n f)>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 n) (/ f (pow n 2))))>
#<alt (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))>
#<alt (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)>
#<alt (/ f n)>
#<alt (/ (+ f (/ (pow f 2) n)) n)>
#<alt (/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)>
#<alt (/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)>
#<alt (/ f n)>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 f) (* -1 n)) f)>
#<alt (/ (+ (* -1 f) (* -1 n)) f)>
#<alt (/ (+ (* -1 f) (* -1 n)) f)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -2 (/ n f))>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
Calls

57 calls:

TimeVariablePointExpression
3.0ms
f
@-inf
(+ (* (/ n f) -2) -1)
1.0ms
n
@0
(/ (neg (+ f n)) f)
1.0ms
n
@inf
(/ (+ f n) (- n f))
1.0ms
f
@0
(/ (neg f) (- f n))
0.0ms
n
@inf
(+ (* (/ n f) -2) -1)

rewrite427.0ms (5.6%)

Memory
42.1MiB live, 751.8MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 406×accelerator-lowering-fma.f32
5 406×accelerator-lowering-fma.f64
5 012×*-lowering-*.f32
5 012×*-lowering-*.f64
4 330×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01544
19444
274043
0889442
Stop Event
iter limit
node limit
Counts
10 → 1 145
Calls
Call 1
Inputs
(/ (+ f n) (- n f))
(+ f n)
(- n f)
(/ (neg f) (- f n))
(- f n)
(neg f)
(/ (neg (+ f n)) f)
(neg (+ f n))
(+ (* (/ n f) -2) -1)
(/ n f)
Outputs
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 f (+.f64 f n))))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 f (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 n n (*.f64 f f))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 f n)))
(+.f64 (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (*.f64 n n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))) (*.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))))
(+.f64 (*.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))) (*.f64 (*.f64 n n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))))
(+.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 n f)))
(-.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 f n))))
(fma.f64 f (/.f64 #s(literal -1 binary64) (-.f64 f n)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 f (/.f64 #s(literal -1 binary64) (-.f64 f n)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 #s(literal -1 binary64) (/.f64 f (-.f64 f n)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 #s(literal -1 binary64) (/.f64 f (-.f64 f n)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (*.f64 n n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))))
(fma.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 (*.f64 n n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (-.f64 #s(literal 0 binary64) f) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (-.f64 #s(literal 0 binary64) f) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) f (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) f (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 f n)) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 f (-.f64 f n)) #s(literal -1 binary64) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (fma.f64 n n (*.f64 f f)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (neg.f64 (*.f64 f (fma.f64 f (+.f64 f n) (*.f64 n n)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (neg.f64 (*.f64 f (fma.f64 f (+.f64 f n) (*.f64 n n)))) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.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 0 binary64) f)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.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 0 binary64) f)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 f (-.f64 (-.f64 #s(literal 0 binary64) f) n)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 f (-.f64 (-.f64 #s(literal 0 binary64) f) n)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 (+.f64 f n) (-.f64 #s(literal 0 binary64) f)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 (+.f64 f n) (-.f64 #s(literal 0 binary64) f)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 f (*.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 f n)) n))
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 f n) (*.f64 n n)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 n f))) (+.f64 f n) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 n f))) (+.f64 f n) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 n n) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 f (+.f64 f n))))
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 f (+.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 n n)))
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 n n (*.f64 f f)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 f n)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 f n))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 f (+.f64 f n)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 f (+.f64 f n)) (*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n))))
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(*.f64 (/.f64 #s(literal 1 binary64) f) n)
(*.f64 (/.f64 #s(literal 1 binary64) f) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))
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(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) n)) (/.f64 #s(literal -1 binary64) f))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) (*.f64 f (*.f64 f f)))) (fma.f64 f f #s(literal 0 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) (*.f64 f f))) f)

simplify425.0ms (5.6%)

Memory
-31.4MiB live, 697.6MiB allocated
Algorithm
egg-herbie
Rules
9 982×accelerator-lowering-fma.f32
9 982×accelerator-lowering-fma.f64
2 956×*-lowering-*.f32
2 956×*-lowering-*.f64
2 256×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02431322
17391298
222121129
363041129
082021060
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(/ f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(/ f n)
(/ (+ f (/ (pow f 2) n)) n)
(/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)
(/ f n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 (/ n f))
(/ (+ (* -1 f) (* -1 n)) f)
(/ (+ (* -1 f) (* -1 n)) f)
(/ (+ (* -1 f) (* -1 n)) f)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(* -1 (/ n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (/ n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 n)
(- (* -1 f) n)
(- (* -1 f) n)
(- (* -1 f) n)
(* -1 f)
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* f (- (* -1 (/ n f)) 1))
(* -1 f)
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 (* f (+ 1 (/ n f))))
(* -1 f)
(- (* -1 n) f)
(- (* -1 n) f)
(- (* -1 n) f)
(* -1 n)
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* n (- (* -1 (/ f n)) 1))
(* -1 n)
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
(* -1 (* n (+ 1 (/ f n))))
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
Outputs
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 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) (fma.f64 (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(-.f64 (fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (fma.f64 f f #s(literal 0 binary64)))) #s(literal 0 binary64)) #s(literal -1 binary64)) (/.f64 (+.f64 n n) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (fma.f64 f f #s(literal 0 binary64)))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) (fma.f64 (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal 0 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) f (/.f64 (*.f64 f (*.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)))) n)) n))
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
f
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
f
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
n
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
n
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(fma.f64 f (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))) (/.f64 f n))
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 f (fma.f64 f (fma.f64 f (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) f)) f))
(/ f n)
(/.f64 f n)
(/ (+ f (/ (pow f 2) n)) n)
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n)
(/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)
(/.f64 (+.f64 f (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 n (*.f64 n n))))) n)
(/ f n)
(/.f64 f n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 f (/.f64 (fma.f64 f f (/.f64 (fma.f64 f (fma.f64 f f #s(literal 0 binary64)) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) n)) n)) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
f
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* -1 n)
(-.f64 #s(literal 0 binary64) 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 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 (/ n f))
(/.f64 n (-.f64 #s(literal 0 binary64) f))
(/ (+ (* -1 f) (* -1 n)) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ (+ (* -1 f) (* -1 n)) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ (+ (* -1 f) (* -1 n)) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(/.f64 n (-.f64 #s(literal 0 binary64) f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(/.f64 n (-.f64 #s(literal 0 binary64) f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(- (* -1 f) n)
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(- (* -1 f) n)
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(- (* -1 f) n)
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* f (- (* -1 (/ n f)) 1))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 (* f (+ 1 (/ n f))))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(- (* -1 n) f)
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(- (* -1 n) f)
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(- (* -1 n) f)
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* n (- (* -1 (/ f n)) 1))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
(* -1 (* n (+ 1 (/ f n))))
(-.f64 (-.f64 #s(literal 0 binary64) n) f)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -2 (/ n f))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -2 (/ n f))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(* -2 (/ n f))
(*.f64 n (/.f64 #s(literal -2 binary64) f))
(/ (+ (* -2 n) (* -1 f)) f)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/ (+ (* -2 n) (* -1 f)) f)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/ (+ (* -2 n) (* -1 f)) f)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)

eval240.0ms (3.2%)

Memory
18.1MiB live, 314.3MiB allocated
Compiler

Compiled 32 449 to 3 050 computations (90.6% saved)

prune178.0ms (2.3%)

Memory
18.7MiB live, 421.9MiB allocated
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1 54931 552
Fresh134
Picked235
Done000
Total1 55291 561
Accuracy
100.0%
Counts
1 561 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
99.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
55.0%
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
54.7%
(/.f64 n (-.f64 n f))
47.3%
(/.f64 f (-.f64 n f))
46.8%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
53.6%
#s(literal 1 binary64)
46.0%
#s(literal -1 binary64)
Compiler

Compiled 116 to 72 computations (37.9% saved)

simplify31.0ms (0.4%)

Memory
-4.0MiB live, 36.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 n (-.f64 n f))
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 f (-.f64 n f))
cost-diff0
(/.f64 n f)
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 n f))
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 n f))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)
cost-diff1088
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
Rules
400×accelerator-lowering-fma.f32
400×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
150×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01361
12857
25055
310855
419155
527155
640555
755455
871455
977355
1078355
078355
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* (/ 1 (- n f)) f) (* (/ 1 (- n f)) n))
(/ 1 (- n f))
1
(- n f)
n
f
(* (/ 1 (- n f)) n)
1
(- -1 (/ n f))
-1
(/ n f)
n
f
(/ f (- n f))
f
(- n f)
n
(/ n (- n f))
n
(- n f)
f
Outputs
(+ (* (/ 1 (- n f)) f) (* (/ 1 (- n f)) n))
(/.f64 (+.f64 n f) (-.f64 n f))
(/ 1 (- n f))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
1
#s(literal 1 binary64)
(- n f)
(-.f64 n f)
n
f
(* (/ 1 (- n f)) n)
(/.f64 n (-.f64 n f))
1
#s(literal 1 binary64)
(- -1 (/ n f))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(/ n f)
(/.f64 n f)
n
f
(/ f (- n f))
(/.f64 f (-.f64 n f))
f
(- n f)
(-.f64 n f)
n
(/ n (- n f))
(/.f64 n (-.f64 n f))
n
(- n f)
(-.f64 n f)
f

localize43.0ms (0.6%)

Memory
7.0MiB live, 83.3MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 n f)
accuracy100.0%
(/.f64 n (-.f64 n f))
accuracy100.0%
(-.f64 n f)
accuracy100.0%
(/.f64 f (-.f64 n f))
accuracy100.0%
(/.f64 n f)
accuracy100.0%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
accuracy100.0%
(-.f64 n f)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 n f))
accuracy99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)
Samples
25.0ms256×0valid
Compiler

Compiled 66 to 15 computations (77.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-div: 7.0ms (50.4% of total)
ival-sub: 3.0ms (21.6% of total)
ival-mult: 3.0ms (21.6% of total)
ival-add: 1.0ms (7.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
-25.0MiB live, 13.9MiB allocated
Counts
8 → 192
Calls
Call 1
Inputs
#<alt (+ (* (/ 1 (- n f)) f) (* (/ 1 (- n f)) n))>
#<alt (* (/ 1 (- n f)) n)>
#<alt (/ 1 (- n f))>
#<alt (- n f)>
#<alt (- -1 (/ n f))>
#<alt (/ n f)>
#<alt (/ f (- n f))>
#<alt (/ n (- n f))>
Outputs
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))>
#<alt (- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (/ -1 f)>
#<alt (- (* -1 (/ n (pow f 2))) (/ 1 f))>
#<alt (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (/ 1 n)>
#<alt (/ (+ 1 (/ f n)) n)>
#<alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)>
#<alt (/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (- (* -1 (/ f n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))>
#<alt (/ 1 n)>
#<alt (+ (/ 1 n) (/ f (pow n 2)))>
#<alt (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))>
#<alt (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))>
#<alt (/ -1 f)>
#<alt (/ (- (* -1 (/ n f)) 1) f)>
#<alt (/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)>
#<alt (/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)>
#<alt (/ -1 f)>
#<alt (* -1 (/ (+ 1 (/ n f)) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 n) (/ f (pow n 2))))>
#<alt (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))>
#<alt (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)>
#<alt (/ f n)>
#<alt (/ (+ f (/ (pow f 2) n)) n)>
#<alt (/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n)>
#<alt (/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (pow f 3) (pow n 2))))) n)>
#<alt (/ f n)>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
Calls

48 calls:

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

rewrite346.0ms (4.6%)

Memory
-3.5MiB live, 520.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 814×accelerator-lowering-fma.f32
5 814×accelerator-lowering-fma.f64
4 390×*-lowering-*.f32
4 390×*-lowering-*.f64
4 142×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01340
18440
295238
0864638
Stop Event
iter limit
node limit
Counts
8 → 432
Calls
Call 1
Inputs
(+ (* (/ 1 (- n f)) f) (* (/ 1 (- n f)) n))
(* (/ 1 (- n f)) n)
(/ 1 (- n f))
(- n f)
(- -1 (/ n f))
(/ n f)
(/ f (- n f))
(/ n (- n f))
Outputs
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)))))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f)))
(-.f64 (/.f64 n (-.f64 n f)) (-.f64 #s(literal 0 binary64) (/.f64 f (-.f64 n f))))
(-.f64 (*.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))) (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))))
(-.f64 (/.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 n f))))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f (-.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f)) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f)))) (/.f64 n (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))) (/.f64 f (-.f64 n f)))
(fma.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (-.f64 #s(literal 0 binary64) f) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)))))
(fma.f64 (*.f64 f (-.f64 n f)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f))) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)))))
(fma.f64 (*.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 n f) (*.f64 n n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 n f) (*.f64 n n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 (*.f64 f (/.f64 f (-.f64 n f))) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)))))
(fma.f64 (/.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 (/.f64 f (-.f64 n f)) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)))))
(fma.f64 (/.f64 (*.f64 f f) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 n f)) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)))))
(fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 (*.f64 f f) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)))))
(fma.f64 (/.f64 (*.f64 (/.f64 f (-.f64 n f)) f) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)))))
(fma.f64 (/.f64 (/.f64 (/.f64 f (-.f64 n f)) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (/.f64 f (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)))))
(fma.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1/2 binary64)) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (/.f64 f (-.f64 n f)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (-.f64 n f))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (-.f64 n f)))) (+.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 #s(literal -1 binary64) (/.f64 n f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (-.f64 n f)) (+.f64 (-.f64 n f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 (-.f64 #s(literal 0 binary64) n) f)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (-.f64 #s(literal 0 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (fma.f64 f (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 n f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (-.f64 n f)) (fma.f64 f (-.f64 n f) (*.f64 (-.f64 n f) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (+.f64 (-.f64 #s(literal 0 binary64) n) f)) (fma.f64 f (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 (-.f64 n f) (-.f64 #s(literal 0 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (fma.f64 (-.f64 #s(literal 0 binary64) f) (-.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 (-.f64 #s(literal 0 binary64) n) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (-.f64 n f)) (fma.f64 (-.f64 #s(literal 0 binary64) f) (-.f64 n f) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (-.f64 n f)) (fma.f64 (-.f64 #s(literal 0 binary64) f) (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (-.f64 #s(literal 0 binary64) n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 #s(literal -1 binary64) (/.f64 n f))) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 n f)) (+.f64 (-.f64 n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 (-.f64 #s(literal 0 binary64) n) f)) (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 0 binary64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f))) (fma.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f)) (-.f64 n f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (-.f64 n f)) (fma.f64 n (-.f64 n f) (*.f64 (-.f64 n f) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (+.f64 (-.f64 #s(literal 0 binary64) n) f)) (fma.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 (-.f64 n f) (-.f64 #s(literal 0 binary64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (+.f64 #s(literal -1 binary64) (/.f64 n f))) (fma.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 (-.f64 #s(literal 0 binary64) n) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (-.f64 n f)) (fma.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 n f) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) f))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (-.f64 n f)) (fma.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (-.f64 #s(literal 0 binary64) f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 n f) (-.f64 n f)) (/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (-.f64 #s(literal 0 binary64) (+.f64 n f))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (+.f64 n f) (-.f64 n f)))))
(/.f64 (+.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f))))) (fma.f64 (/.f64 n (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f)) (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f)))))
(/.f64 (+.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f)))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f))))) (+.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (-.f64 n f)))))
(/.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (+.f64 (-.f64 n f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) n)) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (-.f64 n f)))
(/.f64 (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (-.f64 #s(literal 0 binary64) n))) (*.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 (-.f64 #s(literal 0 binary64) n) f)))
(/.f64 (fma.f64 f (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 (fma.f64 f (-.f64 n f) (*.f64 (-.f64 n f) n)) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (fma.f64 f (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 (-.f64 n f) (-.f64 #s(literal 0 binary64) n))) (*.f64 (-.f64 n f) (+.f64 (-.f64 #s(literal 0 binary64) n) f)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) f) (-.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 (-.f64 #s(literal 0 binary64) n) f)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) f) (-.f64 n f) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) n)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (-.f64 n f)))
(/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) f) (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (-.f64 #s(literal 0 binary64) n))) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 #s(literal -1 binary64) (/.f64 n f))))
(/.f64 (+.f64 (-.f64 n f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) f)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 0 binary64) f))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 (-.f64 #s(literal 0 binary64) n) f)))
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(*.f64 (*.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 n f) (*.f64 n n)))
(*.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))))
(*.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f))
(*.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1/2 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 (-.f64 #s(literal 0 binary64) n) f)) (/.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f)))
(neg.f64 (/.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) n) f) (*.f64 n #s(literal -1 binary64))))
(/.f64 n (-.f64 n f))
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (-.f64 #s(literal 0 binary64) n) f))
(/.f64 (*.f64 n #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 0 binary64) n) f))
(/.f64 (neg.f64 (*.f64 n #s(literal -1 binary64))) (-.f64 n f))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)))
(*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))
(*.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 n (+.f64 (-.f64 #s(literal 0 binary64) n) f)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))
(*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
(*.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
(*.f64 (/.f64 n (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 n f) (*.f64 n n)))
(*.f64 (/.f64 n (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))))
(*.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f))
(*.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 n f) (*.f64 n n)) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 n f) (*.f64 n n)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)))

simplify812.0ms (10.7%)

Memory
40.2MiB live, 755.2MiB allocated
Algorithm
egg-herbie
Rules
11 094×accelerator-lowering-fma.f32
11 094×accelerator-lowering-fma.f64
3 478×*-lowering-*.f32
3 478×*-lowering-*.f64
3 266×--lowering--.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03281871
110451725
228141548
377821548
082271442
Stop Event
iter limit
node limit
Counts
192 → 192
Calls
Call 1
Inputs
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
1
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/ -1 f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(/ 1 n)
(/ (+ 1 (/ f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/ 1 n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/ 1 n)
(+ (/ 1 n) (/ f (pow n 2)))
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(/ -1 f)
(/ (- (* -1 (/ n f)) 1) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/ -1 f)
(* -1 (/ (+ 1 (/ n f)) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(* -1 (/ n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (/ n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (/ n f))
(/ (- (* -1 f) n) f)
(/ (- (* -1 f) n) f)
(/ (- (* -1 f) n) f)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(/ f n)
(/ (+ f (/ (pow f 2) n)) n)
(/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (pow f 3) (pow n 2))))) n)
(/ f n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(* -1 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
1
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))
(fma.f64 f (*.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n))) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 f (+.f64 f f) (*.f64 (*.f64 f (+.f64 f f)) (/.f64 f n))) n) (+.f64 f f)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 f (*.f64 #s(literal 2 binary64) (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n))) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n f))
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))
(-.f64 (fma.f64 (*.f64 n (*.f64 n n)) (/.f64 #s(literal -2 binary64) (*.f64 f (*.f64 f f))) (-.f64 #s(literal -1 binary64) (/.f64 n f))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n #s(literal 2 binary64) (/.f64 (*.f64 n (+.f64 n n)) f)) f))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n #s(literal 2 binary64) (/.f64 (fma.f64 n (+.f64 n n) (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) f)) f)) f))
(* -1 (/ n f))
(-.f64 #s(literal 0 binary64) (/.f64 n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (fma.f64 n (fma.f64 n (/.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 f (*.f64 f (*.f64 f f)))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f)))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n))
(* -1 (/ n f))
(-.f64 #s(literal 0 binary64) (/.f64 n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f))
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (*.f64 f (-.f64 #s(literal 0 binary64) (*.f64 f f)))) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(* -1 (/ n f))
(-.f64 #s(literal 0 binary64) (/.f64 n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f))) f) n) f)
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f)
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(fma.f64 n (fma.f64 n (/.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 f (*.f64 f (*.f64 f f)))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (+ 1 (/ f n)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/.f64 (fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(/.f64 (fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) 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 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(+ (/ 1 n) (/ f (pow n 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(fma.f64 f (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(/ (- (* -1 (/ n f)) 1) f)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) #s(literal -1 binary64)) f)
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(* -1 (/ (+ 1 (/ n f)) f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
(/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) #s(literal -1 binary64)) f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
n
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* -1 f)
(-.f64 #s(literal 0 binary64) 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 f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(-.f64 #s(literal 0 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(-.f64 #s(literal 0 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(-.f64 #s(literal 0 binary64) (/.f64 n f))
(/ (- (* -1 f) n) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ (- (* -1 f) n) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ (- (* -1 f) n) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 f (fma.f64 f (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
(fma.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)
(fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
(fma.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)
(fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64))
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(fma.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f) #s(literal -1 binary64))
(/ f n)
(/.f64 f n)
(/ (+ f (/ (pow f 2) n)) n)
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(/ (- (+ f (/ (pow f 3) (pow n 2))) (* -1 (/ (pow f 2) n))) n)
(/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)
(/ (- (+ f (/ (pow f 4) (pow n 3))) (+ (* -1 (/ (pow f 2) n)) (* -1 (/ (pow f 3) (pow n 2))))) n)
(/.f64 (+.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) (/.f64 (*.f64 f (*.f64 f (*.f64 f f))) (*.f64 n (*.f64 n n)))) n)
(/ f n)
(/.f64 f n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 f (/.f64 (fma.f64 f f (/.f64 (fma.f64 f (*.f64 f f) (/.f64 (*.f64 f (*.f64 f (*.f64 f f))) n)) n)) n)) n)
(* -1 (/ n f))
(-.f64 #s(literal 0 binary64) (/.f64 n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (fma.f64 n (fma.f64 n (/.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 f (*.f64 f (*.f64 f f)))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f)))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 (fma.f64 f (/.f64 f n) f) n) f) n))
(* -1 (/ n f))
(-.f64 #s(literal 0 binary64) (/.f64 n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f))
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (*.f64 f (-.f64 #s(literal 0 binary64) (*.f64 f f)))) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(* -1 (/ n f))
(-.f64 #s(literal 0 binary64) (/.f64 n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f))) f) n) f)

eval167.0ms (2.2%)

Memory
-24.9MiB live, 262.0MiB allocated
Compiler

Compiled 17 924 to 1 437 computations (92% saved)

prune121.0ms (1.6%)

Memory
9.6MiB live, 249.5MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New9113914
Fresh101
Picked145
Done033
Total91310923
Accuracy
100.0%
Counts
923 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
55.0%
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
54.7%
(/.f64 n (-.f64 n f))
47.3%
(/.f64 f (-.f64 n f))
46.8%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
53.6%
#s(literal 1 binary64)
46.0%
#s(literal -1 binary64)
Compiler

Compiled 82 to 52 computations (36.6% saved)

simplify112.0ms (1.5%)

Memory
1.4MiB live, 43.8MiB allocated
Algorithm
egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 n (-.f64 n f))
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 n f))
cost-diff1088
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 n f))
cost-diff192
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
cost-diff0
(/.f64 #s(literal 2 binary64) n)
cost-diff0
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
Rules
688×accelerator-lowering-fma.f32
688×accelerator-lowering-fma.f64
416×*-lowering-*.f32
416×*-lowering-*.f64
194×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01684
13180
24780
39280
413680
520380
629780
754478
897476
9119076
10132976
11136176
12136776
0136775
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(+ (* f (/ 2 n)) 1)
f
(/ 2 n)
2
n
1
(+ (* (/ 1 (- n f)) f) (/ 1 (- 1 (/ f n))))
(/ 1 (- n f))
1
(- n f)
n
f
(/ 1 (- 1 (/ f n)))
(- 1 (/ f n))
(/ f n)
(+ (* (/ 1 (- n f)) f) (/ n (- n f)))
(/ 1 (- n f))
1
(- n f)
n
f
(/ n (- n f))
Outputs
(+ (* f (/ 2 n)) 1)
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
f
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
2
#s(literal 2 binary64)
n
1
#s(literal 1 binary64)
(+ (* (/ 1 (- n f)) f) (/ 1 (- 1 (/ f n))))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/ 1 (- n f))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
1
#s(literal 1 binary64)
(- n f)
(-.f64 n f)
n
f
(/ 1 (- 1 (/ f n)))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(- 1 (/ f n))
(-.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(+ (* (/ 1 (- n f)) f) (/ n (- n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/ 1 (- n f))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
1
#s(literal 1 binary64)
(- n f)
(-.f64 n f)
n
f
(/ n (- n f))
(/.f64 n (-.f64 n f))

localize73.0ms (1%)

Memory
-19.3MiB live, 93.5MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 n f)
accuracy100.0%
(/.f64 n (-.f64 n f))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 n f))
accuracy99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
accuracy100.0%
(-.f64 #s(literal 1 binary64) (/.f64 f n))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 n f))
accuracy99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
accuracy99.3%
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))
accuracy100.0%
(/.f64 #s(literal 2 binary64) n)
accuracy99.9%
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
Samples
35.0ms256×0valid
Compiler

Compiled 83 to 18 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 9.0ms (50.2% of total)
ival-add: 3.0ms (16.7% of total)
ival-mult: 3.0ms (16.7% of total)
ival-sub: 2.0ms (11.2% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
9.4MiB live, 9.4MiB allocated
Counts
9 → 204
Calls
Call 1
Inputs
#<alt (+ (* f (/ 2 n)) 1)>
#<alt (/ 2 n)>
#<alt (+ (* (/ 1 (- n f)) f) (/ 1 (- 1 (/ f n))))>
#<alt (/ 1 (- n f))>
#<alt (- n f)>
#<alt (/ 1 (- 1 (/ f n)))>
#<alt (+ (* (/ 1 (- n f)) f) (/ n (- n f)))>
#<alt (/ n (- n f))>
#<alt (- 1 (/ f n))>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* 2 (/ f n))>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt (/ 2 n)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))>
#<alt (- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (/ -1 f)>
#<alt (- (* -1 (/ n (pow f 2))) (/ 1 f))>
#<alt (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (/ 1 n)>
#<alt (/ (+ 1 (/ f n)) n)>
#<alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)>
#<alt (/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (- (* -1 (/ f n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))>
#<alt (/ 1 n)>
#<alt (+ (/ 1 n) (/ f (pow n 2)))>
#<alt (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))>
#<alt (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))>
#<alt (/ -1 f)>
#<alt (/ (- (* -1 (/ n f)) 1) f)>
#<alt (/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)>
#<alt (/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)>
#<alt (/ -1 f)>
#<alt (* -1 (/ (+ 1 (/ n f)) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))>
#<alt (- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt 1>
#<alt (+ 1 (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ f n)))>
#<alt (* -1 (/ f n))>
#<alt (* f (- (/ 1 f) (/ 1 n)))>
#<alt (* f (- (/ 1 f) (/ 1 n)))>
#<alt (* f (- (/ 1 f) (/ 1 n)))>
#<alt (* -1 (/ f n))>
#<alt (* -1 (* f (- (/ 1 n) (/ 1 f))))>
#<alt (* -1 (* f (- (/ 1 n) (/ 1 f))))>
#<alt (* -1 (* f (- (/ 1 n) (/ 1 f))))>
#<alt (* -1 (/ f n))>
#<alt (/ (- n f) n)>
#<alt (/ (- n f) n)>
#<alt (/ (- n f) n)>
#<alt 1>
#<alt (+ 1 (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ f n)))>
Calls

51 calls:

TimeVariablePointExpression
2.0ms
n
@0
(+ (* f (/ 2 n)) 1)
0.0ms
f
@0
(+ (* f (/ 2 n)) 1)
0.0ms
f
@inf
(+ (* f (/ 2 n)) 1)
0.0ms
n
@0
(/ 2 n)
0.0ms
n
@-inf
(/ 2 n)

rewrite338.0ms (4.5%)

Memory
19.4MiB live, 617.0MiB allocated
Algorithm
batch-egg-rewrite
Rules
4 700×/-lowering-/.f32
4 700×/-lowering-/.f64
4 508×*-lowering-*.f32
4 508×*-lowering-*.f64
4 424×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01663
111857
2113857
0836656
Stop Event
iter limit
node limit
Counts
9 → 419
Calls
Call 1
Inputs
(+ (* f (/ 2 n)) 1)
(/ 2 n)
(+ (* (/ 1 (- n f)) f) (/ 1 (- 1 (/ f n))))
(/ 1 (- n f))
(- n f)
(/ 1 (- 1 (/ f n)))
(+ (* (/ 1 (- n f)) f) (/ n (- n f)))
(/ n (- n f))
(- 1 (/ f n))
Outputs
(+.f64 (/.f64 f (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1/2 binary64))))
(-.f64 (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1/2 binary64))))) (/.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1/2 binary64))))))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(fma.f64 f (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 f (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 f #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 f #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) n) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))) (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))) (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64)))))
(/.f64 (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 f (*.f64 n #s(literal 1/2 binary64))) (*.f64 f #s(literal 2 binary64))) (*.f64 f #s(literal 2 binary64))) n)))
(/.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)))
(/.f64 (neg.f64 (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 f (*.f64 n #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 f (*.f64 n #s(literal 1/2 binary64))) (*.f64 f #s(literal 2 binary64))) (*.f64 f #s(literal 2 binary64))) n))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (-.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 f (*.f64 f f)) (/.f64 #s(literal 8 binary64) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (/.f64 f (*.f64 n #s(literal 1/2 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (*.f64 f f) (*.f64 n n))))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 1/2 binary64))))))
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 f n)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n))) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (*.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 (*.f64 f f) (*.f64 n n)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))))) (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)))))
(/.f64 (+.f64 (/.f64 (*.f64 f (*.f64 f f)) (neg.f64 (*.f64 n (*.f64 n n)))) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (/.f64 f n)) #s(literal 1 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (/.f64 f n) #s(literal 1 binary64)) (/.f64 (/.f64 f n) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 f n) #s(literal 1 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (fma.f64 (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (fma.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))))))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))))

simplify491.0ms (6.5%)

Memory
6.5MiB live, 780.5MiB allocated
Algorithm
egg-herbie
Rules
11 976×accelerator-lowering-fma.f32
11 976×accelerator-lowering-fma.f64
3 798×*-lowering-*.f32
3 798×*-lowering-*.f64
2 688×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02941975
19181853
224381680
379651680
080251559
Stop Event
iter limit
node limit
Counts
204 → 204
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* 2 (/ f n))
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 n)
(/ 2 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
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(/ -1 f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(/ 1 n)
(/ (+ 1 (/ f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/ 1 n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/ 1 n)
(+ (/ 1 n) (/ f (pow n 2)))
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(/ -1 f)
(/ (- (* -1 (/ n f)) 1) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/ -1 f)
(* -1 (/ (+ 1 (/ n f)) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
1
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
1
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
1
(+ 1 (* -1 (/ f n)))
(+ 1 (* -1 (/ f n)))
(+ 1 (* -1 (/ f n)))
(* -1 (/ f n))
(* f (- (/ 1 f) (/ 1 n)))
(* f (- (/ 1 f) (/ 1 n)))
(* f (- (/ 1 f) (/ 1 n)))
(* -1 (/ f n))
(* -1 (* f (- (/ 1 n) (/ 1 f))))
(* -1 (* f (- (/ 1 n) (/ 1 f))))
(* -1 (* f (- (/ 1 n) (/ 1 f))))
(* -1 (/ f n))
(/ (- n f) n)
(/ (- n f) n)
(/ (- n f) n)
1
(+ 1 (* -1 (/ f n)))
(+ 1 (* -1 (/ f n)))
(+ 1 (* -1 (/ f n)))
1
(+ 1 (* -1 (/ f n)))
(+ 1 (* -1 (/ f n)))
(+ 1 (* -1 (/ f n)))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(/ (+ n (* 2 f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/ (+ n (* 2 f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
(/ (+ n (* 2 f)) n)
(/.f64 (fma.f64 #s(literal 2 binary64) f n) n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #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 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
(/ 2 n)
(/.f64 #s(literal 2 binary64) n)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n))) (+ (* -2 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))))
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
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(-.f64 #s(literal 1 binary64) (/.f64 f n))
(/ (- n f) n)
(-.f64 #s(literal 1 binary64) (/.f64 f n))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ f n)))
(-.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* -1 (/ f n)))
(-.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* -1 (/ f n)))
(-.f64 #s(literal 1 binary64) (/.f64 f n))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ f n)))
(-.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* -1 (/ f n)))
(-.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* -1 (/ f n)))
(-.f64 #s(literal 1 binary64) (/.f64 f n))

eval128.0ms (1.7%)

Memory
13.5MiB live, 237.8MiB allocated
Compiler

Compiled 18 573 to 1 626 computations (91.2% saved)

prune90.0ms (1.2%)

Memory
26.5MiB live, 213.3MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New8211822
Fresh000
Picked123
Done077
Total82210832
Accuracy
100.0%
Counts
832 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
47.2%
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
55.0%
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
54.7%
(/.f64 n (-.f64 n f))
47.3%
(/.f64 f (-.f64 n f))
46.8%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
100.0%
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))))
53.6%
#s(literal 1 binary64)
46.0%
#s(literal -1 binary64)
Compiler

Compiled 204 to 88 computations (56.9% saved)

regimes18.0ms (0.2%)

Memory
10.1MiB live, 47.5MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 f (-.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) f)
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
Outputs
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))))
Calls

3 calls:

7.0ms
n
5.0ms
f
4.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
100.0%1f
100.0%1n
100.0%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes17.0ms (0.2%)

Memory
-14.8MiB live, 22.3MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 f (-.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) f)
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

3 calls:

7.0ms
n
5.0ms
f
4.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
99.9%1f
99.9%1n
99.9%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes7.0ms (0.1%)

Memory
23.8MiB live, 23.8MiB allocated
Counts
8 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 f (-.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) f)
Outputs
(/.f64 n (-.f64 n f))
(/.f64 f (-.f64 n f))
(/.f64 n (-.f64 n f))
Calls

2 calls:

3.0ms
n
3.0ms
f
Results
AccuracySegmentsBranch
76.7%3f
80.3%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes20.0ms (0.3%)

Memory
-27.2MiB live, 8.6MiB allocated
Counts
4 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 f (-.f64 n f))
Outputs
#s(literal 1 binary64)
(/.f64 f (-.f64 n f))
#s(literal 1 binary64)
Calls

1 calls:

20.0ms
n
Results
AccuracySegmentsBranch
80.1%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
3 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
Outputs
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
80.0%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

1 calls:

2.0ms
n
Results
AccuracySegmentsBranch
79.8%3n
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
9.4MiB live, 9.4MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
n
1.0ms
f
Results
AccuracySegmentsBranch
46.0%1f
46.0%1n
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch77.0ms (1%)

Memory
-8.8MiB live, 54.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
10.0ms
1.3399023056496228e-30
4.0703710381441085e-24
59.0ms
-3.8161898217229785e-31
-6.133490741262209e-33
Samples
62.0ms256×0valid
Compiler

Compiled 269 to 171 computations (36.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.9% of total)
ival-sub: 1.0ms (17.4% of total)
ival-add: 1.0ms (17.4% of total)
ival-neg: 1.0ms (17.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Memory
9.9MiB live, 47.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
1.3399023056496228e-30
4.0703710381441085e-24
8.0ms
-3.8161898217229785e-31
-6.133490741262209e-33
Samples
13.0ms256×0valid
Compiler

Compiled 205 to 155 computations (24.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 7.0ms
ival-neg: 3.0ms (41.3% of total)
ival-div: 2.0ms (27.5% of total)
ival-sub: 1.0ms (13.8% of total)
ival-add: 1.0ms (13.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch73.0ms (1%)

Memory
-40.2MiB live, 32.9MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
69.0ms
1.3399023056496228e-30
4.0703710381441085e-24
2.0ms
-8.497127497951852e-55
-7.075867854118798e-55
Samples
66.0ms176×0valid
Compiler

Compiled 145 to 121 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 4.0ms
ival-sub: 1.0ms (24.3% of total)
ival-div: 1.0ms (24.3% of total)
ival-add: 1.0ms (24.3% of total)
ival-neg: 1.0ms (24.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch11.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
1.0ms
1.3399023056496228e-30
4.0703710381441085e-24
8.0ms
-3.8161898217229785e-31
-6.133490741262209e-33
Samples
5.0ms128×0valid
Compiler

Compiled 77 to 75 computations (2.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 3.0ms
ival-sub: 1.0ms (35.3% of total)
ival-div: 1.0ms (35.3% of total)
ival-add: 1.0ms (35.3% of total)
ival-neg: 1.0ms (35.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify12.0ms (0.2%)

Memory
-19.3MiB live, 19.3MiB allocated
Algorithm
egg-herbie
Rules
16×+-commutative_binary64
10×sub-neg_binary64
if-if-or-not_binary32
*-commutative_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03981
16181
27081
37681
48081
58181
Stop Event
saturated
Calls
Call 1
Inputs
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n #s(literal -4932568025991797/365375409332725729550921208179070754913983135744 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 6422614617176819/356811923176489970264571492362373784095686656 binary64)) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 6620533730813779/696898287454081973172991196020261297061888 binary64)) (/.f64 f (-.f64 n f)) #s(literal 1 binary64)))
(if (<=.f64 n #s(literal -2829716002184131/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 6550843902068371/1393796574908163946345982392040522594123776 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64)))
(if (<=.f64 n #s(literal -2740315569995443/91343852333181432387730302044767688728495783936 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)
Outputs
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 n #s(literal -4932568025991797/365375409332725729550921208179070754913983135744 binary64)) (/.f64 n (-.f64 n f)) (if (<=.f64 n #s(literal 6422614617176819/356811923176489970264571492362373784095686656 binary64)) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f))))
(if (<=.f64 n #s(literal -2100908603663173/91343852333181432387730302044767688728495783936 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 6620533730813779/696898287454081973172991196020261297061888 binary64)) (/.f64 f (-.f64 n f)) #s(literal 1 binary64)))
(if (<=.f64 n #s(literal -2829716002184131/3450873173395281893717377931138512726225554486085193277581262111899648 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 6550843902068371/1393796574908163946345982392040522594123776 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64)))
(if (<=.f64 n #s(literal -2740315569995443/91343852333181432387730302044767688728495783936 binary64)) #s(literal 1 binary64) (if (<=.f64 n #s(literal 178405961588245/89202980794122492566142873090593446023921664 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

soundness1.2s (15.9%)

Memory
21.3MiB live, 893.4MiB allocated
Rules
14 778×accelerator-lowering-fma.f32
14 778×accelerator-lowering-fma.f64
9 982×accelerator-lowering-fma.f32
9 982×accelerator-lowering-fma.f64
5 814×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01544
19444
274043
0889442
02431322
17391298
222121129
363041129
082021060
0145539
1448504
21334469
35181459
08659432
01340
18440
295238
0864638
01663
111857
2113857
0836656
0618
14218
232317
0552717
Stop Event
fuel
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 205 to 116 computations (43.4% saved)

preprocess56.0ms (0.7%)

Memory
7.1MiB live, 121.0MiB allocated
Compiler

Compiled 194 to 90 computations (53.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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