subtraction fraction

Time bar (total: 8.9s)

analyze22.0ms (0.2%)

Memory
-9.7MiB live, 24.7MiB 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)

sample559.0ms (6.3%)

Memory
58.5MiB live, 760.6MiB allocated
Samples
372.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 197.0ms
ival-div: 59.0ms (29.9% of total)
ival-add: 48.0ms (24.3% of total)
ival-sub: 44.0ms (22.3% of total)
ival-neg: 38.0ms (19.3% of total)
ival-true: 5.0ms (2.5% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

preprocess88.0ms (1%)

Memory
-19.2MiB live, 65.6MiB 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))

explain69.0ms (0.8%)

Memory
3.2MiB live, 123.1MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
00-0-(-.f64 f n)
00-0-f
00-0-n
00-0-(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (33.7% of total)
ival-sub: 3.0ms (25.3% of total)
ival-add: 3.0ms (25.3% of total)
ival-neg: 2.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.4MiB live, 1.4MiB 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)

simplify31.0ms (0.3%)

Memory
2.3MiB live, 40.0MiB 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-diff128
(/.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 (0.2%)

Memory
-5.4MiB live, 33.4MiB 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
12.0ms256×0valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (34.4% of total)
ival-sub: 1.0ms (17.2% of total)
ival-add: 1.0ms (17.2% of total)
ival-neg: 1.0ms (17.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.0MiB live, 8.0MiB 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))

rewrite260.0ms (2.9%)

Memory
23.2MiB live, 332.2MiB 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 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 f f)) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 n (+.f64 f n))))
(+.f64 (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 n (+.f64 f n))) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 (*.f64 f f) (*.f64 n n))) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.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 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))))
(+.f64 (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (*.f64 (*.f64 f f) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))))
(+.f64 (*.f64 (+.f64 (*.f64 f f) (*.f64 n n)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (*.f64 (*.f64 f n) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))))
(+.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 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))))
(fma.f64 (*.f64 n (+.f64 f n)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 f f) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))))
(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 (+.f64 (*.f64 f f) (*.f64 n n)) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 f n) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))))
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 f f) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 n (+.f64 f n))))
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 n (+.f64 f n)) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.f64 f f)))
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (*.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 (+.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 n f) (+.f64 (*.f64 f f) (*.f64 n (-.f64 n f)))))
(/.f64 (+.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))))
(/.f64 (+.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (neg.f64 (*.f64 (-.f64 f n) (+.f64 (*.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 f) (*.f64 n n)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (*.f64 (-.f64 n f) (-.f64 f n)))
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(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 (*.f64 f f) (*.f64 n n))) (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (*.f64 f f) (*.f64 n (-.f64 n f)))))
(*.f64 (neg.f64 (*.f64 (/.f64 (+.f64 f n) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n))))
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 f n) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n))))
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n))))
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (*.f64 f f) (*.f64 n n))) (+.f64 f n))
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 f n))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (+.f64 (*.f64 f f) (*.f64 n (+.f64 f n))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f)))))) (+.f64 (*.f64 f (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (-.f64 n f)) (-.f64 (*.f64 n (-.f64 n f)) (*.f64 f f)))))
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (-.f64 (*.f64 f (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f))))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))

simplify592.0ms (6.6%)

Memory
-8.8MiB live, 635.6MiB 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)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 f n))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) f) (/.f64 (*.f64 f (*.f64 f (+.f64 (/.f64 (*.f64 f #s(literal -2 binary64)) n) #s(literal -2 binary64)))) n)) n))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))) f))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.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))))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))) f))
(- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 n #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 n n)) f))) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))) f))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.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))))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 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)))))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) f) (/.f64 (*.f64 f (*.f64 f (+.f64 (/.f64 (*.f64 f #s(literal -2 binary64)) n) #s(literal -2 binary64)))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 f n))))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) f) (/.f64 (*.f64 f (*.f64 f (+.f64 (/.f64 (*.f64 f #s(literal -2 binary64)) 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 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)

eval81.0ms (0.9%)

Memory
-10.8MiB live, 197.3MiB allocated
Compiler

Compiled 16 747 to 1 669 computations (90% saved)

prune104.0ms (1.2%)

Memory
17.9MiB live, 216.5MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New65711668
Fresh000
Picked101
Done000
Total65811669
Accuracy
100.0%
Counts
669 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
49.7%
(/.f64 (neg.f64 (+.f64 f n)) f)
51.1%
(/.f64 (neg.f64 n) (-.f64 f n))
49.8%
(/.f64 (neg.f64 f) (-.f64 f n))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
50.2%
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
51.5%
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
50.0%
#s(literal 1 binary64)
48.7%
#s(literal -1 binary64)
Compiler

Compiled 184 to 124 computations (32.6% saved)

simplify111.0ms (1.2%)

Memory
-17.7MiB live, 60.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) n)
cost-diff0
(/.f64 (*.f64 #s(literal 2 binary64) n) f)
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
cost-diff-64
(neg.f64 (+.f64 f n))
cost-diff0
(+.f64 f n)
cost-diff128
(/.f64 (neg.f64 (+.f64 f n)) f)
cost-diff-64
(neg.f64 f)
cost-diff0
(-.f64 f n)
cost-diff128
(/.f64 (neg.f64 f) (-.f64 f n))
cost-diff0
(/.f64 #s(literal 1 binary64) (+.f64 f n))
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 n f))
cost-diff256
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
Rules
800×accelerator-lowering-fma.f32
800×accelerator-lowering-fma.f64
524×times-frac
512×*-lowering-*.f32
512×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01878
14276
211173
326172
450672
5112372
6169672
7182372
8186672
9188372
10189572
0189571
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ (/ 1 (- n f)) (/ 1 (+ f n)))
(/ 1 (- n f))
1
(- n f)
n
f
(/ 1 (+ f n))
(+ f n)
-1
(/ (neg f) (- f n))
(neg f)
f
(- f n)
n
(/ (neg (+ f n)) f)
(neg (+ f n))
(+ f n)
f
n
(- -1 (/ (* 2 n) f))
-1
(/ (* 2 n) f)
(* 2 n)
2
n
f
Outputs
(/ (/ 1 (- n f)) (/ 1 (+ 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 (+ f n))
(/.f64 #s(literal 1 binary64) (+.f64 n f))
(+ f n)
(+.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 n f)
f
n
(- -1 (/ (* 2 n) f))
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) #s(literal -2 binary64)))
-1
#s(literal -1 binary64)
(/ (* 2 n) f)
(*.f64 #s(literal 2 binary64) (/.f64 n f))
(* 2 n)
(*.f64 n #s(literal 2 binary64))
2
#s(literal 2 binary64)
n
f

localize60.0ms (0.7%)

Memory
24.8MiB live, 103.7MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(/.f64 (*.f64 #s(literal 2 binary64) n) f)
accuracy100.0%
(*.f64 #s(literal 2 binary64) n)
accuracy100.0%
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) 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 f n)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (+.f64 f n))
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 n f))
accuracy100.0%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
Samples
36.0ms256×0valid
Compiler

Compiled 80 to 20 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 20.0ms
ival-div: 10.0ms (49.4% of total)
ival-sub: 4.0ms (19.7% of total)
ival-mult: 2.0ms (9.9% of total)
ival-neg: 2.0ms (9.9% of total)
ival-add: 1.0ms (4.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series25.0ms (0.3%)

Memory
-12.0MiB live, 24.3MiB allocated
Counts
13 → 288
Calls
Call 1
Inputs
#<alt (/ (/ 1 (- n f)) (/ 1 (+ f n)))>
#<alt (/ 1 (- n f))>
#<alt (- n f)>
#<alt (/ 1 (+ f n))>
#<alt (/ (neg f) (- f n))>
#<alt (- f n)>
#<alt (neg f)>
#<alt (/ (neg (+ f n)) f)>
#<alt (+ f n)>
#<alt (neg (+ f n))>
#<alt (- -1 (/ (* 2 n) f))>
#<alt (/ (* 2 n) f)>
#<alt (* 2 n)>
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 (+ (/ 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 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 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 n)>
#<alt (+ (* -1 (/ f (pow n 2))) (/ 1 n))>
#<alt (+ (* f (- (/ f (pow n 3)) (/ 1 (pow n 2)))) (/ 1 n))>
#<alt (+ (* f (- (* f (+ (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))>
#<alt (/ 1 f)>
#<alt (/ (+ 1 (* -1 (/ n f))) f)>
#<alt (/ (- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f)) f)>
#<alt (/ (- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ n f))) f)>
#<alt (/ 1 f)>
#<alt (* -1 (/ (- (/ n f) 1) f))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow n 2) f) n) f)) 1) f))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f)) n) f)) 1) f))>
#<alt (/ 1 f)>
#<alt (+ (* -1 (/ n (pow f 2))) (/ 1 f))>
#<alt (+ (* n (- (/ 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 (* -1 (/ f n))) n)>
#<alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)) n)>
#<alt (/ (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))) n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (- (/ f n) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1) n))>
#<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 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 (- (* -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 (/ (- (* -1 f) (* 2 n)) f)>
#<alt (/ (- (* -1 f) (* 2 n)) f)>
#<alt (/ (- (* -1 f) (* 2 n)) f)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<alt (* 2 (/ n f))>
#<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)>
Calls

72 calls:

TimeVariablePointExpression
9.0ms
f
@inf
(- n f)
1.0ms
n
@-inf
(/ (neg f) (- f n))
1.0ms
f
@inf
(/ (/ 1 (- n f)) (/ 1 (+ f n)))
0.0ms
n
@0
(/ 1 (- n f))
0.0ms
n
@inf
(/ (* 2 n) f)

rewrite494.0ms (5.5%)

Memory
-16.6MiB live, 791.5MiB allocated
Algorithm
batch-egg-rewrite
Rules
6 896×accelerator-lowering-fma.f32
6 896×accelerator-lowering-fma.f64
5 182×*-lowering-*.f32
5 182×*-lowering-*.f64
3 130×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01863
111659
293458
0913857
Stop Event
iter limit
node limit
Counts
13 → 1 303
Calls
Call 1
Inputs
(/ (/ 1 (- n f)) (/ 1 (+ f n)))
(/ 1 (- n f))
(- n f)
(/ 1 (+ f n))
(/ (neg f) (- f n))
(- f n)
(neg f)
(/ (neg (+ f n)) f)
(+ f n)
(neg (+ f n))
(- -1 (/ (* 2 n) f))
(/ (* 2 n) f)
(* 2 n)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 n f)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f))))
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 n #s(literal -1 binary64))))
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) #s(literal 1 binary64)))
(+.f64 (/.f64 f (-.f64 n f)) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f))) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 n #s(literal -1 binary64))) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64)) (/.f64 (+.f64 n f) (-.f64 n f)))
(+.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) #s(literal 1 binary64)) (/.f64 f (-.f64 n f)))
(+.f64 (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (/.f64 f (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) #s(literal -1 binary64)))
(exp.f64 (-.f64 (*.f64 (log.f64 (-.f64 n f)) #s(literal -1 binary64)) (*.f64 (log.f64 (+.f64 n f)) #s(literal -1 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 n f))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) f) n) (-.f64 n f)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f))))
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 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 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (+.f64 n f))) (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 n f))))
(-.f64 (+.f64 (/.f64 n (-.f64 n f)) #s(literal 0 binary64)) (/.f64 f (-.f64 f n)))
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f))))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 n #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(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 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f))))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 n #s(literal -1 binary64))))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) #s(literal 1 binary64)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (/.f64 f (-.f64 n f)))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))))) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))))))))
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) #s(literal 1 binary64)) (-.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) f) #s(literal -1 binary64)))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))) (+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))))) (*.f64 (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))) (/.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f)))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -8 binary64)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -4 binary64) (/.f64 (/.f64 n f) (/.f64 f n)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 f n)))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal 8 binary64)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal -2 binary64))))))
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))))
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 1 binary64)) #s(literal -1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 f (*.f64 n #s(literal 2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
(neg.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) f))
(neg.f64 (*.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) f) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 f (*.f64 n #s(literal 2 binary64))))
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(*.f64 (/.f64 #s(literal 2 binary64) f) n)
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(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) f) n) #s(literal 2 binary64))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) f) #s(literal 2 binary64)) n)
(-.f64 #s(literal 0 binary64) (*.f64 n #s(literal -2 binary64)))
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(*.f64 n #s(literal 2 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 n #s(literal -2 binary64)))
(*.f64 #s(literal 2 binary64) n)
(*.f64 (-.f64 #s(literal 0 binary64) n) #s(literal -2 binary64))
(*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) n))

simplify1.2s (13.9%)

Memory
-4.0MiB live, 714.0MiB allocated
Algorithm
egg-herbie
Rules
10 346×accelerator-lowering-fma.f32
10 346×accelerator-lowering-fma.f64
3 438×*-lowering-*.f32
3 438×*-lowering-*.f64
3 052×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03742227
111682100
232531915
082811803
Stop Event
iter limit
node limit
Counts
288 → 288
Calls
Call 1
Inputs
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
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(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(/ -1 f)
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(- (* 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)
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(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/ 1 n)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/ 1 n)
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(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
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n
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n
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n
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(/ 1 n)
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(/ 1 f)
(/ (+ 1 (* -1 (/ n f))) f)
(/ (- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f)) f)
(/ (- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ n f))) f)
(/ 1 f)
(* -1 (/ (- (/ n f) 1) f))
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(/ 1 n)
(/ (+ 1 (* -1 (/ f n))) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)) n)
(/ (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))) n)
(/ 1 n)
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1) n))
(/ f n)
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f
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f
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n
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(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -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))
(/ (- (* -1 f) (* 2 n)) f)
(/ (- (* -1 f) (* 2 n)) f)
(/ (- (* -1 f) (* 2 n)) f)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 (/ n f))
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
(* 2 n)
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f))))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 n (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) f) (/.f64 #s(literal -2 binary64) (*.f64 f f)))) (/.f64 #s(literal -2 binary64) f))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 f f) n) n) (+.f64 (/.f64 (*.f64 f #s(literal 2 binary64)) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 f #s(literal 2 binary64)) (/.f64 (*.f64 f (*.f64 f (+.f64 (/.f64 (*.f64 f #s(literal 2 binary64)) n) #s(literal 2 binary64)))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 (*.f64 (/.f64 (/.f64 (*.f64 f f) n) n) (+.f64 (/.f64 (*.f64 f #s(literal 2 binary64)) n) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f))))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(+.f64 (/.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -2 binary64)) f) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f)))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 (*.f64 n (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64)))) f)) f))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f)
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(+.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n n) (-.f64 #s(literal 0 binary64) (pow.f64 f #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) f) f)))) (/.f64 #s(literal -1 binary64) f))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (+ 1 (/ f n)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (*.f64 (/.f64 f n) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))))) n)) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)) 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 (+.f64 f (*.f64 (/.f64 f n) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))))) 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))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (/.f64 (*.f64 f f) (*.f64 n (*.f64 n n))))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (*.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64))))))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(/ (- (* -1 (/ n f)) 1) f)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f))) f)
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(* -1 (/ (+ 1 (/ n f)) f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f))) 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 (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(* n (+ 1 (* -1 (/ f n))))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(* n (+ 1 (* -1 (/ f n))))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
n
(* -1 (* n (- (/ f n) 1)))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (* n (- (/ f n) 1)))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (* n (- (/ f n) 1)))
(*.f64 n (-.f64 #s(literal 1 binary64) (/.f64 f n)))
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 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (/ n f) 1))
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (/ n f) 1))
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 n f)))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(+ (* -1 (/ f (pow n 2))) (/ 1 n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(+ (* f (- (/ f (pow n 3)) (/ 1 (pow n 2)))) (/ 1 n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n)
(+ (* f (- (* f (+ (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))
(+.f64 (*.f64 f (*.f64 f (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n))
(/ 1 f)
(/.f64 #s(literal 1 binary64) f)
(/ (+ 1 (* -1 (/ n f))) f)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(/ (- (+ 1 (/ (pow n 2) (pow f 2))) (/ n f)) f)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)))) f)
(/ (- (+ 1 (* -1 (/ (pow n 3) (pow f 3)))) (+ (* -1 (/ (pow n 2) (pow f 2))) (/ n f))) f)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f)))) (-.f64 #s(literal 0 binary64) f)) n) f)) f)
(/ 1 f)
(/.f64 #s(literal 1 binary64) f)
(* -1 (/ (- (/ n f) 1) f))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(* -1 (/ (- (* -1 (/ (- (/ (pow n 2) f) n) f)) 1) f))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)))) f)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (pow n 2)) f)) n) f)) 1) f))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 n (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f)))) (-.f64 #s(literal 0 binary64) f)) n) f)) f)
(/ 1 f)
(/.f64 #s(literal 1 binary64) f)
(+ (* -1 (/ n (pow f 2))) (/ 1 f))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f)
(+ (* n (- (/ n (pow f 3)) (/ 1 (pow f 2)))) (/ 1 f))
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 n f)))) f)
(+ (* n (- (* n (+ (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(+.f64 (*.f64 n (*.f64 n (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 f (*.f64 f f))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 n f)) f))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (+ 1 (* -1 (/ f n))) n)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (/ f n)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n)
(/ (- (+ 1 (* -1 (/ (pow f 3) (pow n 3)))) (+ (* -1 (/ (pow f 2) (pow n 2))) (/ f n))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 f (*.f64 (/.f64 (*.f64 f f) n) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) n))) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* -1 (/ (- (/ f n) 1) n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) f) n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal -1 binary64) (/.f64 f n))) n)) n)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (pow f 2)) n)) f) n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 f (*.f64 (/.f64 (*.f64 f f) n) (+.f64 #s(literal -1 binary64) (/.f64 f n)))) n))) n)
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(/.f64 (+.f64 f (*.f64 (/.f64 f n) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))))) n)
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 f (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (*.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))))))
-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 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
(+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) 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 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) 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 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f))
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)) f)))
(/ f n)
(/.f64 f n)
(/ (+ f (/ (pow f 2) n)) n)
(/.f64 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)
(/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/.f64 (+.f64 f (*.f64 (/.f64 f n) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))))) n)
(/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)
(/.f64 (+.f64 f (+.f64 (*.f64 (/.f64 f n) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) (/.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 (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(/.f64 (+.f64 f (*.f64 (/.f64 f n) (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 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 (+.f64 (*.f64 f f) (/.f64 (+.f64 (*.f64 f (*.f64 f f)) (/.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 (-.f64 #s(literal 1 binary64) (/.f64 n f)))
(* f (+ 1 (* -1 (/ n f))))
(*.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n f)))
(* f (+ 1 (* -1 (/ n f))))
(*.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n f)))
f
(* -1 (* f (- (/ n f) 1)))
(*.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n f)))
(* -1 (* f (- (/ n f) 1)))
(*.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n f)))
(* -1 (* f (- (/ n f) 1)))
(*.f64 f (-.f64 #s(literal 1 binary64) (/.f64 n f)))
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 n (+.f64 #s(literal -1 binary64) (/.f64 f n)))
(* n (- (/ f n) 1))
(*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 f n)))
(* n (- (/ f n) 1))
(*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(*.f64 n (+.f64 #s(literal -1 binary64) (/.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 #s(literal 0 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 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 #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))
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(* f (+ 1 (/ n f)))
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
(* f (+ 1 (/ n f)))
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
(* f (+ 1 (/ n f)))
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(*.f64 f (+.f64 (/.f64 n f) #s(literal 1 binary64)))
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
n
(* n (+ 1 (/ f n)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* n (+ 1 (/ f n)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* n (+ 1 (/ f n)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(- (* -1 f) n)
(-.f64 (-.f64 #s(literal 0 binary64) f) n)
(- (* -1 f) n)
(-.f64 (-.f64 #s(literal 0 binary64) f) n)
(- (* -1 f) n)
(-.f64 (-.f64 #s(literal 0 binary64) f) n)
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* f (- (* -1 (/ n f)) 1))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 (* f (+ 1 (/ n f))))
(*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 n f)))
(* -1 f)
(-.f64 #s(literal 0 binary64) f)
(- (* -1 n) f)
(-.f64 (-.f64 #s(literal 0 binary64) f) n)
(- (* -1 n) f)
(-.f64 (-.f64 #s(literal 0 binary64) f) n)
(- (* -1 n) f)
(-.f64 (-.f64 #s(literal 0 binary64) f) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* n (- (* -1 (/ f n)) 1))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
(* -1 (* n (+ 1 (/ f n))))
(*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 f n)))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* -2 (/ n f))
(*.f64 #s(literal -2 binary64) (/.f64 n f))
(/ (- (* -1 f) (* 2 n)) f)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(/ (- (* -1 f) (* 2 n)) f)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(/ (- (* -1 f) (* 2 n)) f)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 (/ n f))
(/.f64 (*.f64 n #s(literal 2 binary64)) f)
(* 2 n)
(*.f64 n #s(literal 2 binary64))
(* 2 n)
(*.f64 n #s(literal 2 binary64))
(* 2 n)
(*.f64 n #s(literal 2 binary64))
(* 2 n)
(*.f64 n #s(literal 2 binary64))
(* 2 n)
(*.f64 n #s(literal 2 binary64))
(* 2 n)
(*.f64 n #s(literal 2 binary64))
(* 2 n)
(*.f64 n #s(literal 2 binary64))
(* 2 n)
(*.f64 n #s(literal 2 binary64))
(* 2 n)
(*.f64 n #s(literal 2 binary64))
(* 2 n)
(*.f64 n #s(literal 2 binary64))
(* 2 n)
(*.f64 n #s(literal 2 binary64))
(* 2 n)
(*.f64 n #s(literal 2 binary64))

eval248.0ms (2.8%)

Memory
41.9MiB live, 455.1MiB allocated
Compiler

Compiled 36 384 to 3 456 computations (90.5% saved)

prune200.0ms (2.2%)

Memory
-6.0MiB live, 445.8MiB allocated
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New1 74361 749
Fresh426
Picked235
Done000
Total1 749111 760
Accuracy
100.0%
Counts
1 760 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
51.1%
(/.f64 (neg.f64 n) (-.f64 f n))
49.8%
(/.f64 f (-.f64 n f))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
50.2%
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
49.7%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
51.5%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
50.0%
#s(literal 1 binary64)
48.7%
#s(literal -1 binary64)
Compiler

Compiled 155 to 104 computations (32.9% saved)

simplify62.0ms (0.7%)

Memory
-19.5MiB live, 57.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 n f)
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 n f))
cost-diff128
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
cost-diff0
(*.f64 f #s(literal 2 binary64))
cost-diff0
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 f (-.f64 n f))
cost-diff0
(+.f64 n f)
cost-diff0
(-.f64 n f)
cost-diff0
(/.f64 (-.f64 n f) (+.f64 n f))
cost-diff128
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
Rules
736×accelerator-lowering-fma.f32
736×accelerator-lowering-fma.f64
480×*-lowering-*.f32
480×*-lowering-*.f64
336×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01478
13574
26274
310374
420374
535674
653074
776874
8113674
9131374
10135674
11139574
12140474
0140473
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(/ 1 (/ (- n f) (+ n f)))
1
(/ (- n f) (+ n f))
(- n f)
n
f
(+ n f)
1
(/ f (- n f))
f
(- n f)
n
(+ 1 (/ (* f 2) n))
1
(/ (* f 2) n)
(* f 2)
f
2
n
(* (/ 1 (- n f)) (+ n f))
(/ 1 (- n f))
1
(- n f)
n
f
(+ n f)
Outputs
(/ 1 (/ (- n f) (+ n f)))
(/.f64 (+.f64 n f) (-.f64 n f))
1
#s(literal 1 binary64)
(/ (- n f) (+ n f))
(/.f64 (-.f64 n f) (+.f64 n f))
(- n f)
(-.f64 n f)
n
f
(+ n f)
(+.f64 n f)
1
#s(literal 1 binary64)
(/ f (- n f))
(/.f64 f (-.f64 n f))
f
(- n f)
(-.f64 n f)
n
(+ 1 (/ (* f 2) n))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
1
#s(literal 1 binary64)
(/ (* f 2) n)
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
(* f 2)
(*.f64 f #s(literal 2 binary64))
f
2
#s(literal 2 binary64)
n
(* (/ 1 (- n f)) (+ n f))
(/.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
(+ n f)
(+.f64 n f)

localize52.0ms (0.6%)

Memory
5.8MiB live, 82.8MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 n f)
accuracy100.0%
(+.f64 n f)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 n f))
accuracy99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
accuracy100.0%
(/.f64 (*.f64 f #s(literal 2 binary64)) n)
accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
accuracy100.0%
(*.f64 f #s(literal 2 binary64))
accuracy100.0%
(-.f64 n f)
accuracy100.0%
(/.f64 f (-.f64 n f))
accuracy100.0%
(-.f64 n f)
accuracy100.0%
(+.f64 n f)
accuracy100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
accuracy100.0%
(/.f64 (-.f64 n f) (+.f64 n f))
Samples
29.0ms256×0valid
Compiler

Compiled 80 to 16 computations (80% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 10.0ms (57.6% of total)
ival-mult: 3.0ms (17.3% of total)
ival-sub: 2.0ms (11.5% of total)
ival-add: 2.0ms (11.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series10.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Counts
10 → 228
Calls
Call 1
Inputs
#<alt (/ 1 (/ (- n f) (+ n f)))>
#<alt (/ (- n f) (+ n f))>
#<alt (- n f)>
#<alt (+ n f)>
#<alt (/ f (- n f))>
#<alt (+ 1 (/ (* f 2) n))>
#<alt (/ (* f 2) n)>
#<alt (* f 2)>
#<alt (* (/ 1 (- n f)) (+ n f))>
#<alt (/ 1 (- 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 (+ (/ 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 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 (* -1 (/ f n))) (/ f n))>
#<alt (- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))>
#<alt (- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ f n))) (/ f n))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))>
#<alt 1>
#<alt (+ 1 (* -2 (/ f n)))>
#<alt (+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (/ n f) (+ 1 (* -1 (/ n f))))>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))>
#<alt (- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))>
#<alt -1>
#<alt (- (* -1 (/ (- (* -1 n) n) f)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)>
#<alt (- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt 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 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 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>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* 2 (/ f n))>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt -1>
#<alt (- (* -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 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 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))>
Calls

57 calls:

TimeVariablePointExpression
2.0ms
f
@0
(+ 1 (/ (* f 2) n))
1.0ms
f
@0
(/ (- n f) (+ n f))
0.0ms
n
@0
(+ 1 (/ (* f 2) n))
0.0ms
f
@-inf
(/ (* f 2) n)
0.0ms
f
@inf
(/ (* f 2) n)

rewrite373.0ms (4.2%)

Memory
27.5MiB live, 575.6MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 364×accelerator-lowering-fma.f32
5 364×accelerator-lowering-fma.f64
4 956×*-lowering-*.f32
4 956×*-lowering-*.f64
3 660×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01456
19452
277152
0898451
Stop Event
iter limit
node limit
Counts
10 → 1 179
Calls
Call 1
Inputs
(/ 1 (/ (- n f) (+ n f)))
(/ (- n f) (+ n f))
(- n f)
(+ n f)
(/ f (- n f))
(+ 1 (/ (* f 2) n))
(/ (* f 2) n)
(* f 2)
(* (/ 1 (- n f)) (+ n f))
(/ 1 (- 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 n n) (-.f64 n f)) (-.f64 n f)) (neg.f64 (/.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 n f) #s(literal -1 binary64)))))
(+.f64 (/.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (-.f64 n f)) (*.f64 (/.f64 f (-.f64 f n)) (/.f64 f (-.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 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 f (+.f64 n f))))
(+.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 f (+.f64 n f))) (*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 n n) (*.f64 f f))) (*.f64 (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 n f)))
(+.f64 (*.f64 (*.f64 n n) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))))
(+.f64 (*.f64 (*.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (*.f64 (*.f64 n n) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))))
(+.f64 (*.f64 (+.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (*.f64 (*.f64 n f) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 n f))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (-.f64 n f)) (/.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 n f) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))))
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (/.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 n f) #s(literal -1 binary64))) (/.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 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (-.f64 n f)) (neg.f64 (/.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (-.f64 n f)) (*.f64 (/.f64 f (-.f64 f n)) (/.f64 f (-.f64 n f))))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f))) (neg.f64 (/.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f))) (*.f64 (/.f64 f (-.f64 f n)) (/.f64 f (-.f64 n f))))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64) (/.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)) (/.f64 (*.f64 n n) (-.f64 n f)) (neg.f64 (/.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (*.f64 n n) (-.f64 n f)) (*.f64 (/.f64 f (-.f64 f n)) (/.f64 f (-.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 #s(literal -1 binary64) (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) n) (/.f64 f (-.f64 n f)))
(fma.f64 (-.f64 #s(literal 0 binary64) 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 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (-.f64 #s(literal 0 binary64) f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 1 binary64)) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 n n) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))))
(fma.f64 (*.f64 n n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (neg.f64 (/.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (*.f64 n n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f))) (*.f64 (/.f64 f (-.f64 f n)) (/.f64 f (-.f64 n f))))
(fma.f64 (*.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 n n) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))))
(fma.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f)) (neg.f64 (/.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (/.f64 n (-.f64 n f)) (/.f64 n (-.f64 n f)) (*.f64 (/.f64 f (-.f64 f n)) (/.f64 f (-.f64 n f))))
(fma.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f)) (neg.f64 (/.f64 (/.f64 f (-.f64 n f)) (+.f64 (/.f64 n f) #s(literal -1 binary64)))))
(fma.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 (/.f64 f (-.f64 f n)) (/.f64 f (-.f64 n f))))
(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)) (-.f64 #s(literal 0 binary64) f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 #s(literal 0 binary64) n)))
(fma.f64 (+.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 n f) (/.f64 (+.f64 n f) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))))
(fma.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) f) (/.f64 n (-.f64 n f)))
(fma.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) n) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (*.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f) (/.f64 n (-.f64 n f)))
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(pow.f64 (exp.f64 (log.f64 (-.f64 n f))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (-.f64 n f) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (-.f64 n f)))
(*.f64 (+.f64 n f) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (/.f64 (+.f64 n f) (-.f64 n f)))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 n f))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))))
(*.f64 (/.f64 (+.f64 n f) (+.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (+.f64 n f)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))) (-.f64 n f)))
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 n f)) (/.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (-.f64 n f)))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64))) (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) #s(literal 1 binary64)) (+.f64 n f))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 n n) (*.f64 f f))) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))

simplify687.0ms (7.7%)

Memory
0.8MiB live, 725.0MiB allocated
Algorithm
egg-herbie
Rules
13 754×accelerator-lowering-fma.f32
13 754×accelerator-lowering-fma.f64
3 646×*-lowering-*.f32
3 646×*-lowering-*.f64
3 338×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03742269
111882010
233831823
082371665
Stop Event
iter limit
node limit
Counts
228 → 228
Calls
Call 1
Inputs
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
-1
(- (* 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 (/ f n))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
1
(- (+ 1 (* -1 (/ f n))) (/ f n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (* -1 (/ (+ (* -1 (* f (- (* -1 f) f))) (/ (* (pow f 2) (- (* -1 f) f)) n)) n))) n)))
1
(+ 1 (* -2 (/ f n)))
(+ 1 (* f (- (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (- (* f (+ (* -2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (/ n f) (+ 1 (* -1 (/ n f))))
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (/ n f)) (+ 1 (* -1 (/ n f))))
(- (+ (/ n f) (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (+ 1 (+ (* -1 (/ n f)) (/ (* n (- n (* -1 n))) (pow f 2)))))
-1
(- (* -1 (/ (- (* -1 n) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (* n (- (* -1 n) n)) f))) n) f)) 1)
(- (* -1 (/ (- (+ (* -1 n) (* -1 (/ (- (* -1 (/ (* (pow n 2) (- (* -1 n) n)) f)) (* -1 (* n (- (* -1 n) n)))) f))) n) f)) 1)
(* -1 f)
(- 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
(+ 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)))
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 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
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(* 2 (/ f n))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(* 2 (/ f n))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(* 2 (/ f n))
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
(/ (+ n (* 2 f)) n)
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(+ 1 (* 2 (/ f n)))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 (/ f n))
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
(* 2 f)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(/ -1 f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(/ 1 n)
(/ (+ 1 (/ f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/ 1 n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/ 1 n)
(+ (/ 1 n) (/ f (pow n 2)))
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(/ -1 f)
(/ (- (* -1 (/ n f)) 1) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/ -1 f)
(* -1 (/ (+ 1 (/ n f)) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f))))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 n (+.f64 (/.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) f) (/.f64 #s(literal -2 binary64) (*.f64 f f)))) (/.f64 #s(literal -2 binary64) f))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64))) n))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (/.f64 #s(literal 2 binary64) n) (*.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n)))))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64))) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 f #s(literal 2 binary64)) (/.f64 (*.f64 f (*.f64 f (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64)))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (*.f64 f (/.f64 #s(literal 2 binary64) n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 (*.f64 f (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64))) n))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (/.f64 #s(literal 2 binary64) n) (*.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n)))))))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f))))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(+.f64 (/.f64 (*.f64 n (*.f64 n (*.f64 #s(literal -2 binary64) (/.f64 n f)))) (*.f64 f f)) (+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) f) (/.f64 #s(literal -2 binary64) f)))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n f)))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) n) (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) f) (*.f64 #s(literal -2 binary64) n)) f))
-1
#s(literal -1 binary64)
(- (* 2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f))
(- (* n (+ (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 (/.f64 n f) (+.f64 (*.f64 #s(literal -2 binary64) (/.f64 n f)) #s(literal 2 binary64))))
(- (* n (+ (* n (- (* 2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (/.f64 #s(literal 2 binary64) f) (*.f64 (*.f64 n #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 n f) (*.f64 f f)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ f n))) (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) f) n))
(- (+ 1 (+ (* -1 (/ f n)) (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))))) (/ f n))
(+.f64 #s(literal 1 binary64) (*.f64 f (*.f64 (/.f64 #s(literal 2 binary64) n) (+.f64 #s(literal -1 binary64) (/.f64 f n)))))
(- (+ 1 (+ (* -1 (/ f n)) (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3)))) (+ (/ f n) (/ (* f (- (* -1 f) f)) (pow n 2))))
(+.f64 #s(literal 1 binary64) (*.f64 f (+.f64 (*.f64 f (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 n n)) (*.f64 #s(literal -2 binary64) (/.f64 f (*.f64 n (*.f64 n n)))))) (/.f64 #s(literal -2 binary64) n))))
1
#s(literal 1 binary64)
(- (+ 1 (* -1 (/ f n))) (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) f) n))
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 f) f)) (/ (* f (- (* -1 f) f)) n)) n)))
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(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (-.f64 #s(literal -1 binary64) (/.f64 f n))) n)) 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 (+.f64 f (/.f64 (*.f64 f (*.f64 f (+.f64 #s(literal 1 binary64) (/.f64 f n)))) n)) 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))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (*.f64 f (/.f64 f (*.f64 n (*.f64 n n)))))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (*.f64 (*.f64 f f) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64))))))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(/ (- (* -1 (/ n f)) 1) f)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f))) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) f)) f)) f)
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(* -1 (/ (+ 1 (/ n f)) f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f))) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64)))) f)) f)) f)

eval343.0ms (3.8%)

Memory
3.7MiB live, 473.4MiB allocated
Compiler

Compiled 43 149 to 3 119 computations (92.8% saved)

prune193.0ms (2.2%)

Memory
5.8MiB live, 486.2MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New1 79701 797
Fresh033
Picked055
Done033
Total1 797111 808
Accuracy
100.0%
Counts
1 808 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
51.1%
(/.f64 (neg.f64 n) (-.f64 f n))
49.8%
(/.f64 f (-.f64 n f))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
50.2%
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
49.7%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
51.5%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
50.0%
#s(literal 1 binary64)
48.7%
#s(literal -1 binary64)
Compiler

Compiled 90 to 61 computations (32.2% saved)

simplify36.0ms (0.4%)

Memory
-8.9MiB live, 68.5MiB allocated
Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 n f)
cost-diff0
(+.f64 n f)
cost-diff0
(/.f64 (+.f64 n f) (-.f64 n f))
cost-diff-64
(neg.f64 n)
cost-diff0
(-.f64 f n)
cost-diff128
(/.f64 (neg.f64 n) (-.f64 f n))
cost-diff0
(/.f64 n f)
cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 n f))
Rules
400×accelerator-lowering-fma.f32
400×accelerator-lowering-fma.f64
240×*-lowering-*.f32
240×*-lowering-*.f64
194×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01139
12239
24138
37338
412238
529238
658038
779638
888338
991538
1092838
092838
Stop Event
iter limit
saturated
Calls
Call 1
Inputs
(- -1 (/ n f))
-1
(/ n f)
n
f
(/ (neg n) (- f n))
(neg n)
n
(- f n)
f
(/ (+ n f) (- n f))
(+ n f)
n
f
(- n f)
Outputs
(- -1 (/ n f))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(/ n f)
(/.f64 n f)
n
f
(/ (neg n) (- f n))
(/.f64 n (-.f64 n f))
(neg n)
(-.f64 #s(literal 0 binary64) n)
n
(- f n)
(-.f64 f n)
f
(/ (+ n f) (- n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(+ n f)
(+.f64 n f)
n
f
(- n f)
(-.f64 n f)

localize43.0ms (0.5%)

Memory
3.9MiB live, 83.9MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(-.f64 n f)
accuracy100.0%
(+.f64 n f)
accuracy99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
accuracy100.0%
(-.f64 f n)
accuracy100.0%
(neg.f64 n)
accuracy100.0%
(/.f64 (neg.f64 n) (-.f64 f n))
accuracy100.0%
(/.f64 n f)
accuracy100.0%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
Samples
32.0ms256×0valid
Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-div: 9.0ms (54.2% of total)
ival-sub: 5.0ms (30.1% of total)
ival-add: 1.0ms (6% of total)
ival-neg: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series82.0ms (0.9%)

Memory
-28.8MiB live, 9.9MiB allocated
Counts
8 → 180
Calls
Call 1
Inputs
#<alt (- -1 (/ n f))>
#<alt (/ n f)>
#<alt (/ (neg n) (- f n))>
#<alt (- f n)>
#<alt (neg n)>
#<alt (/ (+ n f) (- n f))>
#<alt (+ n f)>
#<alt (- n f)>
Outputs
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 n)>
#<alt (- 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 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt -1>
#<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 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 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 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 (* -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)))))>
Calls

45 calls:

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

rewrite617.0ms (6.9%)

Memory
20.9MiB live, 626.3MiB allocated
Algorithm
batch-egg-rewrite
Rules
5 132×accelerator-lowering-fma.f32
5 132×accelerator-lowering-fma.f64
4 670×*-lowering-*.f32
4 670×*-lowering-*.f64
4 190×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01132
17931
266231
0874631
Stop Event
iter limit
node limit
Counts
8 → 885
Calls
Call 1
Inputs
(- -1 (/ n f))
(/ n f)
(/ (neg n) (- f n))
(- f n)
(neg n)
(/ (+ n f) (- n f))
(+ n f)
(- n f)
Outputs
(+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n f)))
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 n f)) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f))) (neg.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (*.f64 f (*.f64 f f))))))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f))) (neg.f64 (/.f64 (/.f64 n (/.f64 f (/.f64 n f))) (+.f64 #s(literal -1 binary64) (/.f64 n f)))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 n f) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (*.f64 f (*.f64 f f)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f))) (/.f64 (/.f64 n (/.f64 f (/.f64 n f))) (+.f64 #s(literal -1 binary64) (/.f64 n f))))
(fma.f64 #s(literal -1 binary64) (/.f64 n f) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f))) (neg.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (*.f64 f (*.f64 f f))))))
(fma.f64 n (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64))
(fma.f64 n (*.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 n f) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64))
(fma.f64 (-.f64 #s(literal 0 binary64) n) (*.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 n f)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 n f))) (neg.f64 (/.f64 (/.f64 n (/.f64 f (/.f64 n f))) (+.f64 #s(literal -1 binary64) (/.f64 n f)))))
(fma.f64 (/.f64 #s(literal 1 binary64) f) (-.f64 #s(literal 0 binary64) n) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) f) n #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 n f) #s(literal -1 binary64)) (/.f64 f n))) (neg.f64 (/.f64 (/.f64 n (/.f64 f (/.f64 n f))) (+.f64 #s(literal -1 binary64) (/.f64 n f)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 n (/.f64 f (/.f64 n f))))) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (neg.f64 (/.f64 (/.f64 n (/.f64 f (/.f64 n f))) (+.f64 #s(literal -1 binary64) (/.f64 n f)))))
(fma.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f) (*.f64 (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f) (-.f64 (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f) #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (*.f64 f (*.f64 f f))))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (neg.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)) (*.f64 f (*.f64 f f))))))
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 n f) (/.f64 (/.f64 f n) (/.f64 n f)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (+.f64 #s(literal -1 binary64) (/.f64 n f))) f)))))
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(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 n n) (+.f64 n f)) (/.f64 (*.f64 n n) (+.f64 n f))) (*.f64 (/.f64 (*.f64 f f) (+.f64 n f)) (/.f64 (*.f64 f f) (+.f64 n f)))) (+.f64 (/.f64 (*.f64 n n) (+.f64 n f)) (/.f64 (*.f64 f f) (+.f64 n f))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))
(/.f64 (*.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal 1 binary64)) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (-.f64 f n)) (*.f64 (*.f64 f (-.f64 f n)) (*.f64 f (-.f64 f n)))))) (+.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (-.f64 f n)) (-.f64 (*.f64 f f) (*.f64 n (+.f64 n f))))))
(/.f64 (*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (-.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (-.f64 f n)) (*.f64 f (-.f64 f n))))) (-.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))
(/.f64 (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 (*.f64 f f) (*.f64 f (*.f64 f f)))))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))) (+.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))
(/.f64 (*.f64 (*.f64 (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (+.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f f) (+.f64 (*.f64 f f) (*.f64 n n)))))
(/.f64 (*.f64 (-.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 f (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (+.f64 (*.f64 n n) (*.f64 f f)))
(/.f64 (*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (-.f64 n f)) (-.f64 (*.f64 n n) (*.f64 f f)))
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 f n))
(*.f64 (-.f64 f n) #s(literal -1 binary64))
(*.f64 (+.f64 n f) (/.f64 (-.f64 n f) (+.f64 n f)))
(*.f64 (-.f64 n f) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 n f))
(*.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))
(*.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) #s(literal 1 binary64)))
(*.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (/.f64 (-.f64 n f) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))
(*.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (*.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))))
(*.f64 (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (/.f64 (-.f64 f n) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))))
(*.f64 (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))))
(*.f64 (-.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n)))
(*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(*.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) #s(literal 1 binary64)))
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) #s(literal -1 binary64)))
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) n) f)))
(*.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (-.f64 (*.f64 n n) (*.f64 f f)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (+.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n)))))
(*.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 f n) (-.f64 n f)) (-.f64 f n))
(*.f64 (/.f64 (+.f64 n f) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (/.f64 (+.f64 n f) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))) #s(literal 1 binary64))) (/.f64 (-.f64 n f) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (/.f64 (-.f64 n f) (+.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) #s(literal -1 binary64)) (/.f64 (-.f64 f n) (+.f64 n f)))
(*.f64 (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(*.f64 (neg.f64 (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))
(*.f64 (neg.f64 (/.f64 (-.f64 f n) (-.f64 n f))) (-.f64 n f))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 f f) (*.f64 n n)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))
(*.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (-.f64 n f))) (-.f64 n f))
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 n n) (*.f64 f f)) (+.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))))) (+.f64 (*.f64 n n) (*.f64 f (-.f64 f n))))
(*.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (+.f64 (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (+.f64 n f)) (*.f64 (*.f64 f f) (*.f64 (+.f64 n f) (+.f64 n f)))))) (+.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (+.f64 n f)) (-.f64 (*.f64 f (+.f64 n f)) (*.f64 n n)))))
(*.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (-.f64 (*.f64 n (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f f) (*.f64 (+.f64 n f) (+.f64 n f))))) (-.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))
(*.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (+.f64 (*.f64 f (*.f64 (*.f64 f f) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 n (+.f64 n f)) (*.f64 (*.f64 n n) (*.f64 (+.f64 n f) (+.f64 n f)))))) (+.f64 (*.f64 f (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (+.f64 n f)) (-.f64 (*.f64 n (+.f64 n f)) (*.f64 f f)))))
(*.f64 (/.f64 (-.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (-.f64 (*.f64 f (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n n) (*.f64 (+.f64 n f) (+.f64 n f))))) (-.f64 (*.f64 f f) (*.f64 n (+.f64 n f))))

simplify469.0ms (5.2%)

Memory
-5.9MiB live, 551.3MiB allocated
Algorithm
egg-herbie
Rules
10 538×accelerator-lowering-fma.f32
10 538×accelerator-lowering-fma.f64
2 918×*-lowering-*.f32
2 918×*-lowering-*.f64
2 258×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02371083
17211006
22089916
36550908
08340866
Stop Event
iter limit
node limit
Counts
180 → 180
Calls
Call 1
Inputs
-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)
(* -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 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 n)
(- 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 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
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)))
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)))
(* -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)))))
Outputs
-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)
(* -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 (*.f64 n (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (+.f64 (*.f64 n (+.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (/.f64 n (pow.f64 f #s(literal 4 binary64))))) (*.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)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 (*.f64 f f) (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 (*.f64 f f) (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 (*.f64 f f) (+.f64 #s(literal 1 binary64) (/.f64 f n))) n)) 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 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f))) n) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) f) (*.f64 n (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64))))) f)) 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 (-.f64 (*.f64 (/.f64 (*.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f))) n) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 (+.f64 (/.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) f) f) (*.f64 n (*.f64 n (+.f64 (/.f64 n f) #s(literal 1 binary64))))) f)) f)
(* -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 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
(* -1 n)
(-.f64 #s(literal 0 binary64) n)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(+.f64 #s(literal -1 binary64) (*.f64 n (+.f64 (*.f64 n (+.f64 (/.f64 (/.f64 (*.f64 n #s(literal -2 binary64)) (*.f64 f f)) f) (/.f64 #s(literal -2 binary64) (*.f64 f f)))) (/.f64 #s(literal -2 binary64) f))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))) n))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 f f) n) n) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 f n))))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 f #s(literal 2 binary64)) (/.f64 (*.f64 f (*.f64 f (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))) n))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 (/.f64 (/.f64 (*.f64 f f) n) n) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 f n)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (/.f64 f n))))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(+.f64 (/.f64 (*.f64 n (/.f64 (*.f64 n (*.f64 n #s(literal -2 binary64))) f)) (*.f64 f f)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal -2 binary64)) f))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 (*.f64 n (*.f64 n (+.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) f) #s(literal 2 binary64)))) f)) f))
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
n
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 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)

eval148.0ms (1.7%)

Memory
17.1MiB live, 277.6MiB allocated
Compiler

Compiled 24 987 to 2 223 computations (91.1% saved)

prune132.0ms (1.5%)

Memory
-43.2MiB live, 349.3MiB allocated
Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New1 06321 065
Fresh000
Picked123
Done088
Total1 064121 076
Accuracy
100.0%
Counts
1 076 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
100.0%
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
99.9%
(/.f64 (+.f64 n f) (-.f64 n f))
51.0%
(/.f64 (+.f64 n f) n)
51.1%
(/.f64 n (-.f64 n f))
49.8%
(/.f64 f (-.f64 n f))
100.0%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
50.2%
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
49.7%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
51.5%
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
99.8%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
50.0%
#s(literal 1 binary64)
48.7%
#s(literal -1 binary64)
Compiler

Compiled 228 to 105 computations (53.9% saved)

regimes20.0ms (0.2%)

Memory
12.1MiB live, 52.0MiB allocated
Counts
20 → 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 (+.f64 n f) n)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) f)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
Calls

3 calls:

8.0ms
n
6.0ms
f
5.0ms
(/.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)

regimes31.0ms (0.3%)

Memory
-4.9MiB live, 33.3MiB allocated
Counts
19 → 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 (+.f64 n f) n)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) f)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
Outputs
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
Calls

3 calls:

20.0ms
f
6.0ms
n
5.0ms
(/.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)

regimes29.0ms (0.3%)

Memory
-7.0MiB live, 31.1MiB 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 (+.f64 n f) n)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) f)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 n f))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

3 calls:

6.0ms
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)

regimes10.0ms (0.1%)

Memory
21.1MiB live, 21.1MiB allocated
Counts
12 → 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 (+.f64 n f) n)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) f)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))
Calls

2 calls:

4.0ms
f
4.0ms
n
Results
AccuracySegmentsBranch
80.1%3f
75.3%3n
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Memory
13.1MiB live, 13.1MiB allocated
Counts
11 → 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 (+.f64 n f) n)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) f)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f #s(literal 2 binary64)) n))
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n)))
(/.f64 f (-.f64 n f))
Calls

1 calls:

4.0ms
f
Results
AccuracySegmentsBranch
79.9%3f
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Memory
-25.5MiB live, 11.9MiB allocated
Counts
9 → 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 (+.f64 n f) n)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (neg.f64 (+.f64 f n)) f)
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (neg.f64 (+.f64 f n)) f)
Calls

1 calls:

5.0ms
f
Results
AccuracySegmentsBranch
79.6%3f
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory
10.3MiB live, 10.3MiB 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 (+.f64 n f) n)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 n (-.f64 n f))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
Calls

1 calls:

3.0ms
f
Results
AccuracySegmentsBranch
79.6%3f
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
6.9MiB live, 6.9MiB 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
(-.f64 #s(literal -1 binary64) (/.f64 n f))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
Calls

1 calls:

2.0ms
f
Results
AccuracySegmentsBranch
79.4%3f
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory
5.3MiB live, 5.2MiB 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
f
Results
AccuracySegmentsBranch
79.0%3f
Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory
9.1MiB live, 9.1MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

2 calls:

1.0ms
f
1.0ms
n
Results
AccuracySegmentsBranch
48.7%1n
48.7%1f
Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch31.0ms (0.3%)

Memory
-22.9MiB live, 52.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
14.0ms
5.516517200793548e-22
1.221215846055305e-16
15.0ms
-1.0754011858855979e-96
-4.3900040180977656e-100
Samples
17.0ms272×0valid
Compiler

Compiled 353 to 283 computations (19.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
ival-add: 7.0ms (63.1% of total)
ival-div: 2.0ms (18% of total)
ival-sub: 1.0ms (9% of total)
ival-neg: 1.0ms (9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch22.0ms (0.2%)

Memory
20.0MiB live, 58.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
11.0ms
2.3168625668730125e+39
4.0629496010000907e+42
9.0ms
-1.0754011858855979e-96
-4.3900040180977656e-100
Samples
11.0ms256×0valid
Compiler

Compiled 301 to 227 computations (24.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35% of total)
ival-sub: 1.0ms (17.5% of total)
ival-add: 1.0ms (17.5% of total)
ival-neg: 1.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch57.0ms (0.6%)

Memory
-38.4MiB live, 59.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
44.0ms
5.516517200793548e-22
1.221215846055305e-16
11.0ms
-1.0754011858855979e-96
-4.3900040180977656e-100
Samples
13.0ms272×0valid
Compiler

Compiled 294 to 198 computations (32.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 8.0ms
ival-div: 3.0ms (39.5% of total)
ival-sub: 1.0ms (13.2% of total)
ival-add: 1.0ms (13.2% of total)
ival-neg: 1.0ms (13.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch54.0ms (0.6%)

Memory
9.4MiB live, 49.0MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
43.0ms
5.516517200793548e-22
1.221215846055305e-16
9.0ms
-1.0754011858855979e-96
-4.3900040180977656e-100
Samples
44.0ms272×0valid
Compiler

Compiled 285 to 198 computations (30.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 38.0ms
ival-div: 34.0ms (88.3% of total)
ival-add: 2.0ms (5.2% of total)
ival-sub: 1.0ms (2.6% of total)
ival-neg: 1.0ms (2.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch24.0ms (0.3%)

Memory
16.3MiB live, 54.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
12.0ms
5.516517200793548e-22
1.221215846055305e-16
10.0ms
-1.0754011858855979e-96
-4.3900040180977656e-100
Samples
13.0ms272×0valid
Compiler

Compiled 217 to 181 computations (16.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (32.3% of total)
ival-add: 2.0ms (32.3% of total)
ival-sub: 1.0ms (16.1% of total)
ival-neg: 1.0ms (16.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch13.0ms (0.1%)

Memory
-9.5MiB live, 29.5MiB allocated
Algorithm
binary-search
Stop Event
predicate-same
narrow-enough
Steps
TimeLeftRight
1.0ms
5.516517200793548e-22
1.221215846055305e-16
11.0ms
-1.0754011858855979e-96
-4.3900040180977656e-100
Samples
7.0ms144×0valid
Compiler

Compiled 85 to 83 computations (2.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-neg: 2.0ms (44.4% of total)
ival-sub: 1.0ms (22.2% of total)
ival-div: 1.0ms (22.2% of total)
ival-add: 1.0ms (22.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify15.0ms (0.2%)

Memory
-16.4MiB live, 24.2MiB allocated
Algorithm
egg-herbie
Rules
26×+-commutative_binary64
22×sub-neg_binary64
20×*-commutative_binary64
16×neg-sub0_binary64
16×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055145
186145
2109145
3128145
4137145
5140145
6141145
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 f #s(literal -8850059985518291/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) (if (<=.f64 f #s(literal 1200718648536179/649037107316853453566312041152512 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 640000000000000019442305819328234681008128 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (/.f64 f (-.f64 n f))))
(if (<=.f64 f #s(literal -3174478038283735/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 6479986479451465/332306998946228968225951765070086144 binary64)) (/.f64 n (-.f64 n f)) (/.f64 (neg.f64 (+.f64 f n)) f)))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 4361529361169255/41538374868278621028243970633760768 binary64)) (/.f64 n (-.f64 n f)) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 6479986479451465/41538374868278621028243970633760768 binary64)) #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)
Outputs
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(if (<=.f64 f #s(literal -8850059985518291/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f)) (if (<=.f64 f #s(literal 1200718648536179/649037107316853453566312041152512 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) n) f))))
(if (<=.f64 f #s(literal -8850059985518291/9619630419041620901435312524449124464130795720328478190417063819395928166869436184427311097384012607618805661696 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) (if (<=.f64 f #s(literal 1200718648536179/649037107316853453566312041152512 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f))))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 640000000000000019442305819328234681008128 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 f n))) (/.f64 f (-.f64 n f))))
(if (<=.f64 f #s(literal -3174478038283735/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 6479986479451465/332306998946228968225951765070086144 binary64)) (/.f64 n (-.f64 n f)) (/.f64 (neg.f64 (+.f64 f n)) f)))
(if (<=.f64 f #s(literal -3174478038283735/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 6479986479451465/332306998946228968225951765070086144 binary64)) (/.f64 n (-.f64 n f)) (/.f64 (-.f64 #s(literal 0 binary64) (+.f64 n f)) f)))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 4361529361169255/41538374868278621028243970633760768 binary64)) (/.f64 n (-.f64 n f)) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (if (<=.f64 f #s(literal 6479986479451465/41538374868278621028243970633760768 binary64)) #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 n f))))
(if (<=.f64 f #s(literal -5050305969996851/4809815209520810450717656262224562232065397860164239095208531909697964083434718092213655548692006303809402830848 binary64)) #s(literal -1 binary64) (if (<=.f64 f #s(literal 5316911983139663/5316911983139663491615228241121378304 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

soundness1.1s (12.3%)

Memory
69.7MiB live, 909.7MiB allocated
Rules
14 778×accelerator-lowering-fma.f32
14 778×accelerator-lowering-fma.f64
10 346×accelerator-lowering-fma.f32
10 346×accelerator-lowering-fma.f64
6 896×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01132
17931
266231
0874631
0618
14218
232317
0552717
01863
111659
293458
0913857
03742227
111682100
232531915
082811803
0145539
1448504
21334469
35181459
08659432
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 336 to 175 computations (47.9% saved)

preprocess56.0ms (0.6%)

Memory
-29.1MiB live, 168.0MiB allocated
Compiler

Compiled 344 to 124 computations (64% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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