subtraction fraction

Time bar (total: 9.9s)

analyze11.0ms (0.1%)

Memory
17.1MiB live, 17.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
50%50%50%0.1%0%0%0%3
50%50%50%0.1%0%0%0%4
75%74.9%25%0.1%0%0%0%5
75%74.9%25%0.1%0%0%0%6
87.5%87.4%12.5%0.1%0%0%0%7
87.5%87.4%12.5%0.1%0%0%0%8
93.8%93.7%6.2%0.1%0%0%0%9
93.8%93.7%6.2%0.1%0%0%0%10
96.9%96.8%3.1%0.1%0%0%0%11
96.9%96.8%3.1%0.1%0%0%0%12
Compiler

Compiled 10 to 8 computations (20% saved)

sample593.0ms (6%)

Memory
22.0MiB live, 740.3MiB allocated
Samples
356.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 189.0ms
ival-div: 58.0ms (30.7% of total)
ival-add: 47.0ms (24.9% of total)
ival-sub: 40.0ms (21.2% of total)
ival-neg: 36.0ms (19.1% of total)
ival-true: 5.0ms (2.6% of total)
ival-assert: 3.0ms (1.6% of total)
Bogosity

preprocess69.0ms (0.7%)

Memory
17.4MiB live, 93.4MiB allocated
Algorithm
1×egg-herbie
Rules
424×times-frac
310×div-sub
304×lower-fma.f64
304×lower-fma.f32
214×div-sub
Iterations

Useful iterations: 3 (0.0ms)

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

explain62.0ms (0.6%)

Memory
-11.0MiB live, 114.4MiB 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: 11.0ms
ival-sub: 3.0ms (26.2% of total)
ival-div: 3.0ms (26.2% of total)
ival-add: 3.0ms (26.2% of total)
ival-neg: 2.0ms (17.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

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)

simplify26.0ms (0.3%)

Memory
25.9MiB live, 25.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 3 (0.0ms)

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

localize53.0ms (0.5%)

Memory
-8.7MiB live, 29.6MiB 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
45.0ms256×0valid
Compiler

Compiled 22 to 8 computations (63.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-div: 2.0ms (35.9% of total)
ival-sub: 1.0ms (17.9% of total)
ival-add: 1.0ms (17.9% of total)
ival-neg: 1.0ms (17.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0%)

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

24 calls:

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

rewrite218.0ms (2.2%)

Memory
8.2MiB live, 317.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
2 824×lower-*.f64
2 824×lower-*.f32
2 620×lower-/.f32
2 618×lower-/.f64
1 912×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0618
01018
14618
232717
0553017
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
4 → 572
Calls
Call 1
Inputs
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(neg.f64 (+.f64 f n))
(+.f64 f n)
(-.f64 f n)
Outputs
(+.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64)) (/.f64 (+.f64 f n) (-.f64 n f)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n))))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f n)))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(+.f64 (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(+.f64 (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))) (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(+.f64 (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (*.f64 (fma.f64 f f (*.f64 n n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(+.f64 (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(+.f64 (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 n f)))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (neg.f64 f) (-.f64 f n)) (/.f64 n (-.f64 f n)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f))))
(fma.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (*.f64 n (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 f f) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n)))
(fma.f64 (fma.f64 f f (*.f64 n n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)))))
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n))))
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 n (+.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f f)))
(fma.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 f n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (neg.f64 (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) (+.f64 f n)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (*.f64 (-.f64 f n) (-.f64 f n))))
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (*.f64 (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))) (-.f64 n f)))
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (*.f64 (-.f64 n f) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (*.f64 (+.f64 f n) (+.f64 f n)))) (*.f64 (-.f64 f n) (*.f64 (+.f64 f n) (+.f64 f n))))
(/.f64 (*.f64 (+.f64 f n) (+.f64 f n)) (*.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal -1 binary64) (+.f64 f n)))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (+.f64 f n))) (*.f64 (+.f64 f n) (-.f64 f n)))
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(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) #s(literal 1 binary64)) (*.f64 (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n n) (fma.f64 f f (*.f64 n n)))) (+.f64 f n)))
(/.f64 (*.f64 (*.f64 (fma.f64 f f (*.f64 n n)) (*.f64 (+.f64 f n) (-.f64 f n))) #s(literal 1 binary64)) (*.f64 (fma.f64 f f (*.f64 n n)) (+.f64 f n)))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (+.f64 f n)))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 (neg.f64 f) n)))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f)))))) (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (-.f64 (*.f64 n (-.f64 n f)) (*.f64 f f))))))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f)))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 (neg.f64 f) n))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n)))))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f f (*.f64 n (-.f64 n f)))) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))
(/.f64 (neg.f64 (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 (neg.f64 (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f))) (neg.f64 (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal -1 binary64)) (-.f64 (neg.f64 f) n))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (+.f64 f n))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (fma.f64 f f (*.f64 n (+.f64 f n))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n))))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 f f) (+.f64 f n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 n n) (+.f64 f n)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 f f) (+.f64 f n)) (fma.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n)) (*.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f (*.f64 n (+.f64 f n))))) (*.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n)))))) (fma.f64 f (/.f64 (*.f64 f f) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 f f (*.f64 n (+.f64 f n))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 f f) (+.f64 f n)) (/.f64 (*.f64 f f) (+.f64 f n))) (*.f64 (/.f64 (*.f64 n n) (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n)))) (fma.f64 f (/.f64 f (+.f64 f n)) (/.f64 (*.f64 n n) (+.f64 f n))))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (fma.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 n (-.f64 n f)))))) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (-.f64 (*.f64 n (-.f64 n f)) (*.f64 f f)))))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n))))) (fma.f64 f (*.f64 (*.f64 f f) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))))
(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n))))) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n n) (fma.f64 f f (*.f64 n n)))))
(/.f64 (*.f64 (*.f64 (fma.f64 f f (*.f64 n n)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (fma.f64 f f (*.f64 n n)))
(/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1 binary64)) (+.f64 f n))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal -1 binary64))
(*.f64 (+.f64 f n) (/.f64 (-.f64 f n) (+.f64 f n)))
(*.f64 (-.f64 f n) #s(literal 1 binary64))
(*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))))
(*.f64 (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 1 binary64)))
(*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (/.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (*.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n))))))
(*.f64 #s(literal 1 binary64) (-.f64 f n))
(*.f64 #s(literal -1 binary64) (-.f64 n f))
(*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)) #s(literal 1 binary64)))
(*.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 #s(literal -1 binary64) (+.f64 f n)))
(*.f64 (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 f f (*.f64 n (+.f64 f n))))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (-.f64 f n) (+.f64 f n)) (+.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (/.f64 (+.f64 f n) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (/.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f))))))
(*.f64 (/.f64 (+.f64 f n) #s(literal 1 binary64)) (/.f64 (-.f64 f n) (+.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) #s(literal -1 binary64)) (/.f64 (-.f64 n f) (+.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) #s(literal 1 binary64))) (/.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (fma.f64 f f (*.f64 n (-.f64 n f))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n))) (-.f64 n f))
(*.f64 (/.f64 (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) (fma.f64 (*.f64 n (*.f64 n n)) (*.f64 (+.f64 f n) (*.f64 (+.f64 f n) (+.f64 f n))) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f))))) (fma.f64 (*.f64 n (+.f64 f n)) (-.f64 (*.f64 n (+.f64 f n)) (*.f64 f f)) (*.f64 f (*.f64 f (*.f64 f f)))))
(*.f64 (/.f64 (*.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 (*.f64 f f) (*.f64 n (+.f64 f n))))) (-.f64 (*.f64 f f) (*.f64 n (+.f64 f n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (-.f64 n f))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (neg.f64 (*.f64 (+.f64 f n) (*.f64 (+.f64 f n) (+.f64 f n))))) (*.f64 (+.f64 f n) (+.f64 f n)))

simplify526.0ms (5.3%)

Memory
-19.7MiB live, 595.6MiB allocated
Algorithm
1×egg-herbie
Rules
14 778×lower-fma.f64
14 778×lower-fma.f32
3 728×lower-*.f64
3 728×lower-*.f32
1 970×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval75.0ms (0.8%)

Memory
6.4MiB live, 174.1MiB allocated
Compiler

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

prune140.0ms (1.4%)

Memory
-10.3MiB live, 148.4MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New64910659
Fresh000
Picked101
Done000
Total65010660
Accuracy
100.0%
Counts
660 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶52.8%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
56.9%
(/.f64 (neg.f64 (+.f64 f n)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n))))
49.0%
(/.f64 (neg.f64 n) (-.f64 f n))
▶52.3%
(/.f64 (neg.f64 f) (-.f64 f n))
▶99.9%
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
▶49.0%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
47.9%
#s(literal 1 binary64)
▶51.2%
#s(literal -1 binary64)
Compiler

Compiled 186 to 114 computations (38.7% saved)

simplify85.0ms (0.9%)

Memory
-12.0MiB live, 66.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -2 binary64) f)
✓cost-diff0
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓cost-diff0
(+.f64 f f)
✓cost-diff0
(/.f64 (+.f64 f f) n)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓cost-diff0
(-.f64 f n)
✓cost-diff0
(neg.f64 f)
✓cost-diff128
(/.f64 (neg.f64 f) (-.f64 f n))
✓cost-diff0
(-.f64 f n)
✓cost-diff0
(neg.f64 n)
✓cost-diff128
(/.f64 (neg.f64 n) (-.f64 f n))
✓cost-diff896
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
Rules
976×lower-fma.f32
974×lower-fma.f64
576×lower-*.f64
576×lower-*.f32
318×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01775
03075
14875
27375
311470
419670
543269
695268
7145268
8182468
9205568
10211968
11217568
12218368
13218368
0218367
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 f (-.f64 f n))
#s(literal -1 binary64)
(/.f64 (neg.f64 f) (-.f64 f n))
(neg.f64 f)
f
(-.f64 f n)
n
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
#s(literal 1 binary64)
(/.f64 (+.f64 f f) n)
(+.f64 f f)
f
n
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
n
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
#s(literal -1 binary64)
Outputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 n (-.f64 n f))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 f (-.f64 f n))
#s(literal -1 binary64)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 f (-.f64 n f))
(neg.f64 f)
f
(-.f64 f n)
n
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 f f) n)
(+.f64 f f)
f
n
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
n
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
f
#s(literal -1 binary64)

localize52.0ms (0.5%)

Memory
26.8MiB live, 103.6MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) f)
✓accuracy99.8%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓accuracy100.0%
(/.f64 (+.f64 f f) n)
✓accuracy100.0%
(+.f64 f f)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓accuracy100.0%
(-.f64 f n)
✓accuracy100.0%
(neg.f64 f)
✓accuracy100.0%
(/.f64 (neg.f64 f) (-.f64 f n))
✓accuracy100.0%
(neg.f64 n)
✓accuracy100.0%
(/.f64 (neg.f64 n) (-.f64 f n))
✓accuracy100.0%
(/.f64 f (-.f64 f n))
✓accuracy99.9%
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
Samples
32.0ms256×0valid
Compiler

Compiled 78 to 20 computations (74.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-div: 8.0ms (42.3% of total)
ival-add: 3.0ms (15.9% of total)
ival-sub: 2.0ms (10.6% of total)
ival-mult: 2.0ms (10.6% of total)
ival-neg: 2.0ms (10.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
1.3MiB live, 38.8MiB allocated
Counts
12 → 240
Calls
Call 1
Inputs
#<alt (-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))>
#<alt (/.f64 (neg.f64 n) (-.f64 f n))>
#<alt (neg.f64 n)>
#<alt (-.f64 f n)>
#<alt (/.f64 (neg.f64 f) (-.f64 f n))>
#<alt (neg.f64 f)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))>
#<alt (/.f64 (+.f64 f f) n)>
#<alt (+.f64 f f)>
#<alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal -2 binary64) f)>
#<alt (/.f64 f (-.f64 f 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 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)>
#<alt (- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 n) (/ f (pow n 2))))>
#<alt (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))>
#<alt (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)>
#<alt (/ f n)>
#<alt (/ (+ f (/ (pow f 2) n)) n)>
#<alt (/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)>
#<alt (/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)>
#<alt (/ f n)>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt 1>
#<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 (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -2 (/ n f))>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (/ -2 f)>
#<alt (* -1 (/ f n))>
#<alt (* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))>
#<alt (* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt (* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))>
#<alt (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))>
#<alt 1>
#<alt (+ 1 (/ n f))>
#<alt (+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))>
#<alt (+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))>
#<alt (* -1 (/ f n))>
#<alt (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)>
#<alt (/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)>
#<alt (/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)>
#<alt (* -1 (/ f n))>
#<alt (* -1 (/ (+ f (/ (pow f 2) n)) n))>
#<alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))>
#<alt (* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))>
Calls

60 calls:

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

rewrite335.0ms (3.4%)

Memory
-12.3MiB live, 506.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 184×lower-*.f64
5 184×lower-*.f32
4 690×lower-/.f32
4 680×lower-/.f64
3 196×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01760
03056
113856
2127456
0847155
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 580
Calls
Call 1
Inputs
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(-.f64 f n)
(/.f64 (neg.f64 f) (-.f64 f n))
(neg.f64 f)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(/.f64 (+.f64 f f) n)
(+.f64 f f)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(/.f64 f (-.f64 f n))
Outputs
(+.f64 (/.f64 n (+.f64 (neg.f64 f) n)) (/.f64 f (+.f64 (neg.f64 f) n)))
(+.f64 (/.f64 f (+.f64 (neg.f64 f) n)) (/.f64 n (+.f64 (neg.f64 f) n)))
(-.f64 (/.f64 n (+.f64 (neg.f64 f) n)) (/.f64 f (-.f64 f n)))
(-.f64 (/.f64 (neg.f64 (*.f64 n (-.f64 f n))) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 f (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n))))
(-.f64 (/.f64 (neg.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n))))) (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))))) (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n)))) (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))))))
(-.f64 (/.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 (+.f64 n f) (-.f64 f n)))
(-.f64 (/.f64 (*.f64 (neg.f64 n) (+.f64 (neg.f64 f) n)) (*.f64 (-.f64 f n) (+.f64 (neg.f64 f) n))) (/.f64 (*.f64 (-.f64 f n) (neg.f64 f)) (*.f64 (-.f64 f n) (+.f64 (neg.f64 f) n))))
(-.f64 (/.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) f))) (/.f64 (*.f64 (-.f64 f n) #s(literal 1 binary64)) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) f))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (-.f64 f n))) (/.f64 (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) f) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (-.f64 f n))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 f) n)) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (+.f64 (neg.f64 f) n))) (/.f64 (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (neg.f64 f)) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (+.f64 (neg.f64 f) n))))
(-.f64 (/.f64 (/.f64 (-.f64 f n) f) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (/.f64 (-.f64 f n) f))) (/.f64 (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) #s(literal 1 binary64)) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (/.f64 (-.f64 f n) f))))
(-.f64 (/.f64 (*.f64 n (-.f64 f n)) (*.f64 (+.f64 (neg.f64 f) n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 (neg.f64 f) n) f) (*.f64 (+.f64 (neg.f64 f) n) (-.f64 f n))))
(-.f64 (/.f64 (*.f64 n (+.f64 (neg.f64 f) n)) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 (neg.f64 f) n) (neg.f64 f)) (*.f64 (-.f64 f n) (-.f64 f n))))
(-.f64 (/.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (+.f64 (neg.f64 f) n) (/.f64 (-.f64 f n) f))) (/.f64 (*.f64 (+.f64 (neg.f64 f) n) #s(literal 1 binary64)) (*.f64 (+.f64 (neg.f64 f) n) (/.f64 (-.f64 f n) f))))
(-.f64 (/.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (-.f64 n f) (+.f64 (neg.f64 f) n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))) (/.f64 (-.f64 n f) (+.f64 (neg.f64 f) n))))
(fma.f64 n (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 f) n)) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 f) n)) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 f (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n))) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 #s(literal 1 binary64) (/.f64 n (+.f64 (neg.f64 f) n)) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 #s(literal 1 binary64) (/.f64 f (+.f64 (neg.f64 f) n)) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 #s(literal -1 binary64) (/.f64 f (-.f64 f n)) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 #s(literal -1 binary64) (/.f64 n (-.f64 f n)) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (pow.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 (neg.f64 f) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 n f) (*.f64 f f)) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 (neg.f64 f) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 (neg.f64 f) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 (neg.f64 f) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 f (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 (neg.f64 n) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 n f) (*.f64 f f)) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 (neg.f64 n) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 (neg.f64 n) (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 (neg.f64 n) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))) (/.f64 f (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 f (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 n (+.f64 (neg.f64 f) n)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 n f))) (/.f64 f (+.f64 (neg.f64 f) n)))
(neg.f64 (+.f64 (/.f64 n (-.f64 f n)) (/.f64 f (-.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) (-.f64 (neg.f64 n) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (-.f64 (neg.f64 (*.f64 n (-.f64 f n))) (*.f64 f (-.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (-.f64 (neg.f64 (*.f64 n (*.f64 n n))) (*.f64 f (*.f64 f f))) (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 f n) (-.f64 (neg.f64 n) f))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 f n) (-.f64 f n)) (-.f64 (neg.f64 (*.f64 n (-.f64 f n))) (*.f64 f (-.f64 f n))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n)))) (/.f64 (-.f64 (neg.f64 (*.f64 n (*.f64 n n))) (*.f64 f (*.f64 f f))) (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))))))
(/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))
(/.f64 (-.f64 (neg.f64 n) f) (neg.f64 (+.f64 (neg.f64 f) n)))
(/.f64 (-.f64 (neg.f64 (*.f64 n (-.f64 f n))) (*.f64 f (-.f64 f n))) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (/.f64 (-.f64 (neg.f64 (*.f64 n (*.f64 n n))) (*.f64 f (*.f64 f f))) (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n)))) (fma.f64 (/.f64 f (-.f64 f n)) #s(literal 1 binary64) (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n)))))
(/.f64 (/.f64 (-.f64 (neg.f64 (*.f64 n (*.f64 n n))) (*.f64 f (*.f64 f f))) (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n)))) (+.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (-.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 n (+.f64 (neg.f64 f) n)) (/.f64 f (+.f64 (neg.f64 f) n))))))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 n) f) (-.f64 f n))) (/.f64 (-.f64 n f) (+.f64 (neg.f64 f) n)))
(/.f64 (-.f64 n (neg.f64 f)) (+.f64 (neg.f64 f) n))
(/.f64 (fma.f64 (neg.f64 n) (-.f64 f n) (*.f64 (-.f64 f n) (neg.f64 f))) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (fma.f64 (neg.f64 n) (/.f64 (+.f64 (neg.f64 f) n) f) (*.f64 (-.f64 f n) #s(literal 1 binary64))) (*.f64 (-.f64 f n) (/.f64 (+.f64 (neg.f64 f) n) f)))
(/.f64 (fma.f64 (neg.f64 n) (+.f64 (neg.f64 f) n) (*.f64 f (-.f64 f n))) (*.f64 (-.f64 f n) (+.f64 (neg.f64 f) n)))
(/.f64 (fma.f64 #s(literal 1 binary64) (-.f64 f n) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (neg.f64 f))) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (-.f64 f n)))
(/.f64 (+.f64 (/.f64 (+.f64 (neg.f64 f) n) f) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (/.f64 (+.f64 (neg.f64 f) n) f)))
(/.f64 (fma.f64 #s(literal 1 binary64) (+.f64 (neg.f64 f) n) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) f)) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (+.f64 (neg.f64 f) n)))
(/.f64 (fma.f64 n (-.f64 f n) (*.f64 (+.f64 (neg.f64 f) n) (neg.f64 f))) (*.f64 (+.f64 (neg.f64 f) n) (-.f64 f n)))
(/.f64 (fma.f64 n (/.f64 (+.f64 (neg.f64 f) n) f) (*.f64 (+.f64 (neg.f64 f) n) #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 f) n) (/.f64 (+.f64 (neg.f64 f) n) f)))
(/.f64 (fma.f64 n (+.f64 (neg.f64 f) n) (*.f64 (+.f64 (neg.f64 f) n) f)) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (+.f64 (neg.f64 f) n)) (*.f64 (-.f64 f n) (neg.f64 f))) (*.f64 (-.f64 f n) (+.f64 (neg.f64 f) n)))
(/.f64 (-.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 f n) f)) (*.f64 (-.f64 f n) #s(literal 1 binary64))) (*.f64 (-.f64 f n) (/.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) f)) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 (neg.f64 f) n)) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (neg.f64 f))) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (+.f64 (neg.f64 f) n)))
(/.f64 (-.f64 (/.f64 (-.f64 f n) f) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 (neg.f64 f) n) n) (/.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (*.f64 n (-.f64 f n)) (*.f64 (+.f64 (neg.f64 f) n) f)) (*.f64 (+.f64 (neg.f64 f) n) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 n (+.f64 (neg.f64 f) n)) (*.f64 (+.f64 (neg.f64 f) n) (neg.f64 f))) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 n (/.f64 (-.f64 f n) f)) (*.f64 (+.f64 (neg.f64 f) n) #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 f) n) (/.f64 (-.f64 f n) f)))
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(/.f64 #s(literal -2 binary64) f)
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 f #s(literal -1/2 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 f #s(literal -1/2 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 f))
(pow.f64 (*.f64 f #s(literal -1/2 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 f #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) f))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) f))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) f))
(*.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -2 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 f n) f)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 f (+.f64 (neg.f64 f) n)))
(neg.f64 (/.f64 f (+.f64 (neg.f64 f) n)))
(/.f64 f (-.f64 f n))
(/.f64 f (neg.f64 (+.f64 (neg.f64 f) n)))
(/.f64 (neg.f64 f) (+.f64 (neg.f64 f) n))
(/.f64 (neg.f64 f) (neg.f64 (neg.f64 (+.f64 (neg.f64 f) n))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 f n) f))
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 f) n) f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 f) n) f))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64))))
(/.f64 (*.f64 f #s(literal 1 binary64)) (-.f64 f n))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 (neg.f64 f) n)) (*.f64 (+.f64 (neg.f64 f) n) f)) (*.f64 (-.f64 f n) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 f n)) (*.f64 (+.f64 (neg.f64 f) n) (neg.f64 f))) (*.f64 (+.f64 (neg.f64 f) n) (-.f64 f n)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (+.f64 (neg.f64 f) n))) (*.f64 (+.f64 (neg.f64 f) n) (neg.f64 f))) (*.f64 (+.f64 (neg.f64 f) n) (neg.f64 (+.f64 (neg.f64 f) n))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (+.f64 (neg.f64 f) n) f)) (*.f64 (+.f64 (neg.f64 f) n) #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 f) n) (/.f64 (+.f64 (neg.f64 f) n) f)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (neg.f64 f) n) f) #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 f) n) #s(literal 1 binary64))) (*.f64 (+.f64 (neg.f64 f) n) (/.f64 (/.f64 (+.f64 (neg.f64 f) n) f) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 f n) f)) (*.f64 (+.f64 (neg.f64 f) n) #s(literal -1 binary64))) (*.f64 (+.f64 (neg.f64 f) n) (/.f64 (-.f64 f n) f)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (+.f64 (neg.f64 f) n) f))) (*.f64 (+.f64 (neg.f64 f) n) #s(literal -1 binary64))) (*.f64 (+.f64 (neg.f64 f) n) (neg.f64 (/.f64 (+.f64 (neg.f64 f) n) f))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 f n)) (*.f64 (+.f64 (neg.f64 f) n) (*.f64 (neg.f64 f) #s(literal 1 binary64)))) (*.f64 (+.f64 (neg.f64 f) n) (-.f64 f n)))
(/.f64 (neg.f64 (*.f64 f #s(literal 1 binary64))) (+.f64 (neg.f64 f) n))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) #s(literal 3 binary64)) (/.f64 (*.f64 f (*.f64 f f)) (neg.f64 (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n)))))) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 #s(literal 0 binary64) (-.f64 f n)) (+.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 f n) (-.f64 f n))) (*.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 f (+.f64 (neg.f64 f) n))))))
(pow.f64 (/.f64 (-.f64 f n) f) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (-.f64 f n) f) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 f (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 f) n)))
(*.f64 #s(literal 1 binary64) (/.f64 f (-.f64 f n)))
(*.f64 #s(literal -1 binary64) (/.f64 f (+.f64 (neg.f64 f) n)))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) f)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 f (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 (/.f64 f (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(*.f64 (/.f64 f (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(*.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 f n))) (+.f64 n f))
(*.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 f n)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (+.f64 n f))))

simplify500.0ms (5.1%)

Memory
-18.9MiB live, 621.5MiB allocated
Algorithm
1×egg-herbie
Rules
13 512×lower-fma.f64
13 512×lower-fma.f32
3 904×lower-*.f64
3 904×lower-*.f32
2 882×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03471918
110721794
229061623
374811623
080591499
Stop Event
1×iter limit
1×node limit
Counts
240 → 237
Calls
Call 1
Inputs
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -2 (/ n f)) 1)
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
1
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(/ f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(/ f n)
(/ (+ f (/ (pow f 2) n)) n)
(/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)
(/ f n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
1
(+ 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)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(/ -2 f)
(* -1 (/ f n))
(* f (- (* -1 (/ f (pow n 2))) (/ 1 n)))
(* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n)))
(* f (- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n)))
1
(+ 1 (/ n f))
(- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f)))
(- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2)))))
1
(+ 1 (/ n f))
(+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f)))
1
(+ 1 (/ n f))
(+ 1 (* n (+ (/ 1 f) (/ n (pow f 2)))))
(+ 1 (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))))
(* -1 (/ f n))
(/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 3) (pow n 2)))) (/ (pow f 2) n)) n)
(/ (- (+ (* -1 f) (* -1 (/ (pow f 4) (pow n 3)))) (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(* -1 (/ f n))
(* -1 (/ (+ f (/ (pow f 2) n)) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n))) n))
(* -1 (/ (+ f (* -1 (/ (- (* -1 (/ (- (/ (pow f 4) n) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (/ f n))) (* -1 (/ f n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ (pow f 2) (pow n 2))) (+ (* 2 (/ (pow f 3) (pow n 3))) (/ f n)))) (* -1 (/ f n)))
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n)) (* 2 f)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 f (+.f64 f f)) (/.f64 f n) (*.f64 f (+.f64 f f))) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (+ (* -2 (/ (pow n 2) (pow f 2))) (* -2 (/ (pow n 3) (pow f 3))))) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n #s(literal 2 binary64) (/.f64 (*.f64 n (+.f64 n n)) f)) f))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n #s(literal 2 binary64) (/.f64 (fma.f64 n (+.f64 n n) (/.f64 (*.f64 (*.f64 n n) (+.f64 n n)) f)) f)) f))
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(/.f64 (fma.f64 n (/.f64 n f) n) (neg.f64 f))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (fma.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 (fma.f64 n (fma.f64 n (neg.f64 (/.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
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eval170.0ms (1.7%)

Memory
28.0MiB live, 252.9MiB allocated
Compiler

Compiled 16 873 to 1 869 computations (88.9% saved)

prune142.0ms (1.4%)

Memory
-35.8MiB live, 224.8MiB allocated
Pruning

11 alts after pruning (6 fresh and 5 done)

PrunedKeptTotal
New9281929
Fresh055
Picked055
Done000
Total92811939
Accuracy
100.0%
Counts
939 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.8%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
▶99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
56.9%
(/.f64 (neg.f64 (+.f64 f n)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n))))
▶49.0%
(/.f64 (neg.f64 n) (-.f64 f n))
✓52.3%
(/.f64 (neg.f64 f) (-.f64 f n))
✓99.9%
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
▶51.9%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓49.0%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
▶99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
▶47.9%
#s(literal 1 binary64)
✓51.2%
#s(literal -1 binary64)
Compiler

Compiled 158 to 97 computations (38.6% saved)

simplify38.0ms (0.4%)

Memory
16.1MiB live, 53.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 f n)
✓cost-diff0
(-.f64 n f)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 n f))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓cost-diff0
(-.f64 f n)
✓cost-diff0
(neg.f64 n)
✓cost-diff128
(/.f64 (neg.f64 n) (-.f64 f n))
✓cost-diff0
(/.f64 n f)
✓cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓cost-diff0
(-.f64 n f)
✓cost-diff0
(+.f64 f n)
✓cost-diff0
(/.f64 (+.f64 f n) (-.f64 n f))
Rules
400×lower-fma.f64
400×lower-fma.f32
240×lower-*.f32
238×lower-*.f64
184×times-frac
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01463
02461
14561
28160
313060
425560
556660
679160
783460
885360
985760
1085860
085860
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
f
n
(-.f64 n f)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
#s(literal -1 binary64)
(/.f64 n f)
n
f
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
n
(-.f64 f n)
f
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
#s(literal 1 binary64)
(-.f64 n f)
n
f
(+.f64 f n)
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
f
n
(-.f64 n f)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
#s(literal -1 binary64)
(/.f64 n f)
n
f
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 n (-.f64 n f))
(neg.f64 n)
n
(-.f64 f n)
f
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
#s(literal 1 binary64)
(-.f64 n f)
n
f
(+.f64 f n)

localize46.0ms (0.5%)

Memory
8.0MiB live, 84.1MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 n f)
✓accuracy100.0%
(+.f64 f n)
✓accuracy100.0%
(/.f64 #s(literal 1 binary64) (-.f64 n f))
✓accuracy99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓accuracy100.0%
(-.f64 f n)
✓accuracy100.0%
(neg.f64 n)
✓accuracy100.0%
(/.f64 (neg.f64 n) (-.f64 f n))
✓accuracy100.0%
(/.f64 n f)
✓accuracy100.0%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓accuracy100.0%
(-.f64 n f)
✓accuracy100.0%
(+.f64 f n)
✓accuracy99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
Samples
27.0ms256×0valid
Compiler

Compiled 65 to 16 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-div: 6.0ms (36.7% of total)
ival-sub: 5.0ms (30.6% of total)
ival-mult: 2.0ms (12.2% of total)
ival-add: 1.0ms (6.1% of total)
ival-neg: 1.0ms (6.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-18.8MiB live, 25.1MiB allocated
Counts
10 → 228
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 f n) (-.f64 n f))>
#<alt (+.f64 f n)>
#<alt (-.f64 n f)>
#<alt (-.f64 #s(literal -1 binary64) (/.f64 n f))>
#<alt (/.f64 n f)>
#<alt (/.f64 (neg.f64 n) (-.f64 f n))>
#<alt (neg.f64 n)>
#<alt (-.f64 f n)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 n f))>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt -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
n
@-inf
(/ n f)
1.0ms
f
@-inf
(/ (+ f n) (- n f))
0.0ms
n
@inf
(/ (+ f n) (- n f))
0.0ms
f
@inf
(/ (+ f n) (- n f))
0.0ms
n
@-inf
(/ (+ f n) (- n f))

rewrite285.0ms (2.9%)

Memory
35.7MiB live, 470.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 674×lower-fma.f64
5 674×lower-fma.f32
4 618×lower-*.f32
4 616×lower-*.f64
3 634×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01446
02444
110543
280843
0903443
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
10 → 1 056
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
(-.f64 n f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 n f)
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(-.f64 f n)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 f (+.f64 f n))))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 f (+.f64 f n))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 n n (*.f64 f f))) (*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (*.f64 f n)))
(+.f64 (*.f64 (*.f64 n n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))) (*.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))))
(+.f64 (*.f64 (*.f64 f (+.f64 f n)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))) (*.f64 (*.f64 n n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))))
(+.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))) (*.f64 (*.f64 f n) (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 n (-.f64 f n)) (/.f64 f (-.f64 n f))))
(-.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 f f) (*.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 f n))))
(-.f64 (/.f64 (/.f64 (*.f64 (/.f64 f (-.f64 n f)) f) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (/.f64 (*.f64 (/.f64 n (-.f64 n f)) n) (-.f64 n f)) (/.f64 (-.f64 n f) (-.f64 f n))))
(-.f64 (+.f64 (/.f64 f (-.f64 n f)) #s(literal 0 binary64)) (/.f64 n (-.f64 f n)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 n (-.f64 f n)) (/.f64 f (-.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 n f)) f) (/.f64 n (-.f64 n f)))
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simplify2.6s (26%)

Memory
-2.8MiB live, 420.2MiB allocated
Algorithm
1×egg-herbie
Rules
13 090×lower-fma.f64
13 090×lower-fma.f32
4 002×lower-*.f64
4 002×lower-*.f32
2 958×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02951701
19171591
226051428
373961428
080731341
Stop Event
1×iter limit
1×node limit
Counts
228 → 216
Calls
Call 1
Inputs
1
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(* -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)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 n (/.f64 (*.f64 (*.f64 n n) #s(literal -2 binary64)) (*.f64 f (*.f64 f f))) (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (+.f64 n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f))) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n))
n
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
f
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
(* f (+ 1 (/ n f)))
(+.f64 f n)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 f n)
f
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
(+ f n)
(+.f64 f n)
n
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
(* n (+ 1 (/ f n)))
(+.f64 f n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 f n)
(* -1 f)
(neg.f64 f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
(- n f)
(-.f64 n f)
n
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n f)
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
(* -1 (* n (- (/ f n) 1)))
(-.f64 n f)
n
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(+ n (* -1 f))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* f (- (/ n f) 1))
(-.f64 n f)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 n f)
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(/ (- (* -1 f) n) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ (- (* -1 f) n) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ (- (* -1 f) n) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(/.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 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f)) f))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (fma.f64 n (fma.f64 n (/.f64 (neg.f64 n) (*.f64 f (*.f64 f (*.f64 f f)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f)))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) 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)))
(fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) 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)))))
(fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n))
(* -1 (/ n f))
(/.f64 n (neg.f64 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 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) (neg.f64 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 (neg.f64 (/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)) n) f)
(* -1 (/ n f))
(/.f64 n (neg.f64 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 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) (neg.f64 f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)) n) f)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f n)
f
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
(* -1 (* f (- (/ n f) 1)))
(-.f64 f n)
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(* -1 n)
(neg.f64 n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* n (- (/ f n) 1))
(-.f64 f n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 f n)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (+.f64 (/.f64 (+.f64 f f) n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 n (/.f64 (*.f64 (*.f64 n n) #s(literal -2 binary64)) (*.f64 f (*.f64 f f))) (fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 (+.f64 n n) f) #s(literal 2 binary64))) f))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (+.f64 n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n 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 (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f)) f)
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(fma.f64 n (fma.f64 n (/.f64 (neg.f64 n) (*.f64 f (*.f64 f (*.f64 f f)))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (+ 1 (/ f n)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) 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 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) n)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) 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))
(fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(fma.f64 f (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(/ (- (* -1 (/ n f)) 1) f)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f)) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) 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 (fma.f64 n (/.f64 n f) n) 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 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f)) f)

eval683.0ms (6.9%)

Memory
17.7MiB live, 246.9MiB allocated
Compiler

Compiled 35 056 to 2 470 computations (93% saved)

prune422.0ms (4.3%)

Memory
-18.1MiB live, 314.3MiB allocated
Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New1 52331 526
Fresh101
Picked145
Done145
Total1 526111 537
Accuracy
100.0%
Counts
1 537 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.8%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
▶56.9%
(/.f64 (+.f64 f n) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n))))
✓52.3%
(/.f64 (neg.f64 f) (-.f64 f n))
▶99.9%
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
✓51.9%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓49.0%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
▶48.8%
(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓47.9%
#s(literal 1 binary64)
✓51.2%
#s(literal -1 binary64)
Compiler

Compiled 97 to 62 computations (36.1% saved)

simplify360.0ms (3.6%)

Memory
2.1MiB live, 477.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 #s(literal -1 binary64) (-.f64 n f))
✓cost-diff0
(+.f64 f n)
✓cost-diff0
(/.f64 (+.f64 f n) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n))))
✓cost-diff1728
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n)))
✓cost-diff0
(/.f64 n (-.f64 f n))
✓cost-diff0
(-.f64 n f)
✓cost-diff0
(/.f64 f (-.f64 n f))
✓cost-diff896
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
✓cost-diff0
(/.f64 f n)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 f n))
Rules
9 498×lower-fma.f64
9 498×lower-fma.f32
2 400×lower-*.f32
2 396×lower-*.f64
2 030×lower-/.f32
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01694
02878
14678
211178
345278
4158078
5462470
0822470
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal 1 binary64)
(/.f64 f n)
f
n
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(/.f64 f (-.f64 n f))
f
(-.f64 n f)
n
(/.f64 n (-.f64 f n))
(-.f64 f n)
(/.f64 (+.f64 f n) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n))))
(+.f64 f n)
f
n
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 #s(literal -1 binary64) (-.f64 n f))
#s(literal -1 binary64)
(-.f64 n f)
(*.f64 (-.f64 n f) (-.f64 f n))
(-.f64 f n)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+.f64 (/.f64 f n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 f n)
f
n
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 f (-.f64 n f))
f
(-.f64 n f)
n
(/.f64 n (-.f64 f n))
(-.f64 f n)
(/.f64 (+.f64 f n) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n))))
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
f
n
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n)))
(-.f64 n f)
(/.f64 #s(literal -1 binary64) (-.f64 n f))
#s(literal -1 binary64)
(-.f64 n f)
(*.f64 (-.f64 n f) (-.f64 f n))
(-.f64 f n)

localize49.0ms (0.5%)

Memory
9.9MiB live, 127.0MiB allocated
Localize:

Found 10 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 f n)
✓accuracy100.0%
(*.f64 (-.f64 n f) (-.f64 f n))
✓accuracy100.0%
(/.f64 (+.f64 f n) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n))))
✓accuracy58.5%
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n)))
✓accuracy100.0%
(-.f64 n f)
✓accuracy100.0%
(-.f64 f n)
✓accuracy100.0%
(/.f64 f (-.f64 n f))
✓accuracy99.9%
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
✓accuracy100.0%
(/.f64 f n)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 f n))
Samples
28.0ms255×0valid
0.0ms1×5exit
Compiler

Compiled 96 to 18 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-div: 9.0ms (51.1% of total)
ival-mult: 3.0ms (17% of total)
ival-sub: 3.0ms (17% of total)
ival-add: 2.0ms (11.4% of total)
adjust: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series12.0ms (0.1%)

Memory
-14.6MiB live, 26.3MiB allocated
Counts
12 → 288
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) (/.f64 f n))>
#<alt (/.f64 f n)>
#<alt (-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))>
#<alt (/.f64 f (-.f64 n f))>
#<alt (-.f64 n f)>
#<alt (/.f64 n (-.f64 f n))>
#<alt (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n)))>
#<alt (/.f64 (+.f64 f n) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n))))>
#<alt (+.f64 f n)>
#<alt (/.f64 #s(literal -1 binary64) (-.f64 n f))>
#<alt (-.f64 f n)>
#<alt (*.f64 (-.f64 n f) (-.f64 f n))>
Outputs
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (* f (+ (/ 1 f) (/ 1 n)))>
#<alt (/ f n)>
#<alt (/ (+ f n) n)>
#<alt (/ (+ f n) n)>
#<alt (/ (+ f n) n)>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (/ f n))>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt 1>
#<alt (+ 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 (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (+ (* 2 (/ n f)) (/ (pow n 2) (pow f 2)))))>
#<alt (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3)))) (+ 1 (+ (* 2 (/ n f)) (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3))))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f))) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) 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 (* 2 (/ f n)))>
#<alt (- (+ 1 (+ (* 2 (/ f n)) (/ (pow f 2) (pow n 2)))) (* -1 (/ (pow f 2) (pow n 2))))>
#<alt (- (+ 1 (+ (* 2 (/ f n)) (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3))))) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))>
#<alt (/ 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 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (/ n f)>
#<alt (* n (+ (/ 1 f) (/ n (pow f 2))))>
#<alt (* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f)))>
#<alt (* n (+ (* n (+ (* n (+ (/ 1 (pow f 3)) (/ n (pow f 4)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt -1>
#<alt (- (* -1 (/ f n)) 1)>
#<alt (- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (/ f n)))>
#<alt (- (* -1 (/ (pow f 3) (pow n 3))) (+ 1 (+ (/ f n) (/ (pow f 2) (pow n 2)))))>
#<alt -1>
#<alt (- (* -1 (/ f n)) 1)>
#<alt (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1)>
#<alt -1>
#<alt (- (* -1 (/ f n)) 1)>
#<alt (- (* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) 1)>
#<alt (- (* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))) 1)>
#<alt (/ n f)>
#<alt (/ (+ n (/ (pow n 2) f)) f)>
#<alt (/ (- (+ n (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (- (+ n (/ (pow n 4) (pow f 3))) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)>
#<alt (/ n f)>
#<alt (* -1 (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f))>
#<alt (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (/ (pow n 3) f) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow n 4) f)) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 f)>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt 1>
#<alt (+ 1 (* 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 (* -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 (/ (- (* -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 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (/ 1 f)>
#<alt (+ (/ 1 f) (/ n (pow f 2)))>
#<alt (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))>
#<alt (+ (* n (+ (* n (+ (/ 1 (pow f 3)) (/ n (pow f 4)))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (/ -1 n)>
#<alt (/ (- (* -1 (/ f n)) 1) n)>
#<alt (/ (- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (/ f n))) n)>
#<alt (/ (- (* -1 (/ (pow f 3) (pow n 3))) (+ 1 (+ (/ f n) (/ (pow f 2) (pow n 2))))) n)>
#<alt (/ -1 n)>
#<alt (* -1 (/ (+ 1 (/ f n)) n))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) n))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) n))>
#<alt (/ -1 n)>
#<alt (- (* -1 (/ f (pow n 2))) (/ 1 n))>
#<alt (- (* f (- (* -1 (/ 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 (/ n f)) f)>
#<alt (/ (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) f)>
#<alt (/ (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2))))) f)>
#<alt (/ 1 f)>
#<alt (* -1 (/ (- (* -1 (/ n f)) 1) f))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1) f))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1) f))>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (pow f 2))>
#<alt (+ (* -1 (pow f 2)) (* 2 (* f n)))>
#<alt (+ (* -1 (pow f 2)) (* n (+ (* -1 n) (* 2 f))))>
#<alt (+ (* -1 (pow f 2)) (* n (+ (* -1 n) (* 2 f))))>
#<alt (* -1 (pow n 2))>
#<alt (* (pow n 2) (- (* 2 (/ f n)) 1))>
#<alt (* (pow n 2) (- (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n))) 1))>
#<alt (* (pow n 2) (- (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n))) 1))>
#<alt (* -1 (pow n 2))>
#<alt (* (pow n 2) (- (* 2 (/ f n)) 1))>
#<alt (* (pow n 2) (- (* -1 (/ (+ (* -2 f) (/ (pow f 2) n)) n)) 1))>
#<alt (* (pow n 2) (- (* -1 (/ (+ (* -2 f) (/ (pow f 2) n)) n)) 1))>
#<alt (* -1 (pow n 2))>
#<alt (+ (* -1 (pow n 2)) (* 2 (* f n)))>
#<alt (+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n))))>
#<alt (+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n))))>
#<alt (* -1 (pow f 2))>
#<alt (* (pow f 2) (- (* 2 (/ n f)) 1))>
#<alt (* (pow f 2) (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))>
#<alt (* (pow f 2) (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))>
#<alt (* -1 (pow f 2))>
#<alt (* (pow f 2) (- (* 2 (/ n f)) 1))>
#<alt (* (pow f 2) (- (* -1 (/ (+ (* -2 n) (/ (pow n 2) f)) f)) 1))>
#<alt (* (pow f 2) (- (* -1 (/ (+ (* -2 n) (/ (pow n 2) f)) f)) 1))>
Calls

72 calls:

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

rewrite288.0ms (2.9%)

Memory
7.4MiB live, 487.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 692×lower-*.f32
5 688×lower-*.f64
5 036×lower-/.f32
5 026×lower-/.f64
2 560×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01680
02880
112878
2122662
0859462
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 625
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 f n)
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(/.f64 f (-.f64 n f))
(-.f64 n f)
(/.f64 n (-.f64 f n))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (+.f64 f n) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n))))
(+.f64 f n)
(/.f64 #s(literal -1 binary64) (-.f64 n f))
(-.f64 f n)
(*.f64 (-.f64 n f) (-.f64 f n))
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+.f64 (/.f64 f n) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 (/.f64 f n) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 f n) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 f (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 f n) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 f) n) #s(literal 1 binary64))
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (neg.f64 n)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))))))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (+.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 (-.f64 (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64)) (-.f64 (/.f64 f n) #s(literal 1 binary64)))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 (*.f64 f f) (*.f64 n n)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)))))
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 f f) (*.f64 n n)) #s(literal 1 binary64))) (neg.f64 (-.f64 (/.f64 f n) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (fma.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (-.f64 #s(literal 1 binary64) (/.f64 f n)))))))
(pow.f64 (/.f64 (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) #s(literal -1 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 f n) (-.f64 (/.f64 f n) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(exp.f64 (*.f64 (log.f64 (/.f64 n f)) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 f (neg.f64 n)))
(neg.f64 (/.f64 f (neg.f64 n)))
(neg.f64 (/.f64 (neg.f64 f) n))
(/.f64 #s(literal 1 binary64) (/.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n f) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n f))))
(/.f64 f n)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n f)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n f) #s(literal 1 binary64))))
(/.f64 (neg.f64 f) (neg.f64 n))
(/.f64 (*.f64 #s(literal 1 binary64) f) n)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 f)) (neg.f64 n))
(/.f64 (*.f64 f #s(literal 1 binary64)) n)
(/.f64 (neg.f64 (neg.f64 f)) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) f)) (neg.f64 n))
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 f))) (neg.f64 (neg.f64 n)))
(/.f64 (neg.f64 (*.f64 f #s(literal 1 binary64))) (neg.f64 n))
(/.f64 (neg.f64 (neg.f64 (neg.f64 f))) (neg.f64 (neg.f64 (neg.f64 n))))
(pow.f64 (/.f64 n f) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 n f) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 f n))
(*.f64 f (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 f n) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 f) n))
(*.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (neg.f64 n)))
(*.f64 (/.f64 #s(literal 1 binary64) n) f)
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n))
(+.f64 (/.f64 f (-.f64 n f)) (neg.f64 (/.f64 n (-.f64 f n))))
(+.f64 (neg.f64 (/.f64 n (-.f64 f n))) (/.f64 f (-.f64 n f)))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(-.f64 (/.f64 (*.f64 f (-.f64 f n)) (*.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (*.f64 n (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n))))
(-.f64 (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 (-.f64 n f) (*.f64 (-.f64 n f) (-.f64 n f)))) (fma.f64 (/.f64 n (-.f64 f n)) (+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))))) (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (-.f64 f n) (*.f64 (-.f64 f n) (-.f64 f n)))) (fma.f64 (/.f64 n (-.f64 f n)) (+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))))))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))) (/.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))))
(-.f64 (/.f64 (/.f64 (-.f64 f n) n) (*.f64 (/.f64 (-.f64 n f) f) (/.f64 (-.f64 f n) n))) (/.f64 (*.f64 (/.f64 (-.f64 n f) f) #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 n f) f) (/.f64 (-.f64 f n) n))))
(-.f64 (/.f64 (neg.f64 (neg.f64 (-.f64 f n))) (*.f64 (/.f64 (-.f64 n f) f) (-.f64 f n))) (/.f64 (*.f64 (/.f64 (-.f64 n f) f) n) (*.f64 (/.f64 (-.f64 n f) f) (-.f64 f n))))
(-.f64 (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 f n))) (*.f64 (/.f64 (-.f64 n f) f) (neg.f64 (-.f64 f n)))) (/.f64 (*.f64 (/.f64 (-.f64 n f) f) (neg.f64 n)) (*.f64 (/.f64 (-.f64 n f) f) (neg.f64 (-.f64 f n)))))
(-.f64 (/.f64 (*.f64 f (/.f64 (-.f64 f n) n)) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) n))) (/.f64 (*.f64 (-.f64 n f) #s(literal 1 binary64)) (*.f64 (-.f64 n f) (/.f64 (-.f64 f n) n))))
(-.f64 (/.f64 (*.f64 f (neg.f64 (-.f64 f n))) (*.f64 (-.f64 n f) (neg.f64 (-.f64 f n)))) (/.f64 (*.f64 (-.f64 n f) (neg.f64 n)) (*.f64 (-.f64 n f) (neg.f64 (-.f64 f n)))))
(-.f64 (/.f64 (*.f64 (neg.f64 f) (/.f64 (-.f64 f n) n)) (*.f64 (neg.f64 (-.f64 n f)) (/.f64 (-.f64 f n) n))) (/.f64 (*.f64 (neg.f64 (-.f64 n f)) #s(literal 1 binary64)) (*.f64 (neg.f64 (-.f64 n f)) (/.f64 (-.f64 f n) n))))
(-.f64 (/.f64 (*.f64 (neg.f64 f) (-.f64 f n)) (*.f64 (neg.f64 (-.f64 f n)) (-.f64 n f))) (/.f64 (*.f64 (neg.f64 (-.f64 n f)) n) (*.f64 (neg.f64 (-.f64 f n)) (-.f64 n f))))
(-.f64 (/.f64 (*.f64 (neg.f64 f) (neg.f64 (-.f64 f n))) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 f n)))) (/.f64 (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 n)) (*.f64 (neg.f64 (-.f64 n f)) (neg.f64 (-.f64 f n)))))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (-.f64 (/.f64 f (-.f64 n f)) (neg.f64 (/.f64 n (-.f64 f n))))) (/.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 f n) (-.f64 f n))) (-.f64 (/.f64 f (-.f64 n f)) (neg.f64 (/.f64 n (-.f64 f n))))))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (neg.f64 (/.f64 n (-.f64 f n))))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (neg.f64 (/.f64 n (-.f64 f n))))
(fma.f64 n (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n))) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 n (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (/.f64 f #s(literal -1 binary64)) (neg.f64 (/.f64 n (-.f64 f n))))
(fma.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (neg.f64 f) (/.f64 #s(literal -1 binary64) (-.f64 n f)) (neg.f64 (/.f64 n (-.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (neg.f64 (/.f64 n (-.f64 f n))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) (neg.f64 (/.f64 n (-.f64 f n))))
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 f n) (*.f64 n n)) (neg.f64 (/.f64 n (-.f64 f n))))
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (neg.f64 (/.f64 n (-.f64 f n))))
(fma.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 n f))) (+.f64 f n) (neg.f64 (/.f64 n (-.f64 f n))))
(fma.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (neg.f64 (/.f64 n (-.f64 f n))))
(fma.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))) (neg.f64 (/.f64 n (-.f64 f n))))
(fma.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 (/.f64 n (-.f64 f n))))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 f n))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 n (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (+.f64 f n))))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 n (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
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(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (-.f64 n f) (+.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f f (*.f64 n (+.f64 f n))) (-.f64 f n)))) (/.f64 (-.f64 f n) (fma.f64 f f (*.f64 n (+.f64 f n)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (-.f64 f n) (+.f64 f n)))

simplify647.0ms (6.5%)

Memory
10.8MiB live, 528.7MiB allocated
Algorithm
1×egg-herbie
Rules
13 644×lower-fma.f64
13 644×lower-fma.f32
4 238×lower-*.f64
4 238×lower-*.f32
3 160×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04452564
114222389
240112151
083282012
Stop Event
1×iter limit
1×node limit
Counts
288 → 273
Calls
Call 1
Inputs
1
(+ 1 (/ f n))
(+ 1 (/ f n))
(+ 1 (/ f n))
(/ f n)
(* f (+ (/ 1 f) (/ 1 n)))
(* f (+ (/ 1 f) (/ 1 n)))
(* f (+ (/ 1 f) (/ 1 n)))
(/ f n)
(* f (+ (/ 1 f) (/ 1 n)))
(* f (+ (/ 1 f) (/ 1 n)))
(* f (+ (/ 1 f) (/ 1 n)))
(/ f n)
(/ (+ f n) n)
(/ (+ f n) n)
(/ (+ f n) n)
1
(+ 1 (/ f n))
(+ 1 (/ f n))
(+ 1 (/ f n))
1
(+ 1 (/ f n))
(+ 1 (/ f n))
(+ 1 (/ f n))
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
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
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (+ (* 2 (/ n f)) (/ (pow n 2) (pow f 2)))))
(- (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3)))) (+ 1 (+ (* 2 (/ n f)) (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3))))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f))) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) 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 (* 2 (/ f n)))
(- (+ 1 (+ (* 2 (/ f n)) (/ (pow f 2) (pow n 2)))) (* -1 (/ (pow f 2) (pow n 2))))
(- (+ 1 (+ (* 2 (/ f n)) (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3))))) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3)))))
1
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))
(/ 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 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(/ n f)
(* n (+ (/ 1 f) (/ n (pow f 2))))
(* n (+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f)))
(* n (+ (* n (+ (* n (+ (/ 1 (pow f 3)) (/ n (pow f 4)))) (/ 1 (pow f 2)))) (/ 1 f)))
-1
(- (* -1 (/ f n)) 1)
(- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (/ f n)))
(- (* -1 (/ (pow f 3) (pow n 3))) (+ 1 (+ (/ f n) (/ (pow f 2) (pow n 2)))))
-1
(- (* -1 (/ f n)) 1)
(- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1)
-1
(- (* -1 (/ f n)) 1)
(- (* f (- (* -1 (/ f (pow n 2))) (/ 1 n))) 1)
(- (* f (- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))) 1)
(/ n f)
(/ (+ n (/ (pow n 2) f)) f)
(/ (- (+ n (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ n (/ (pow n 4) (pow f 3))) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/ n f)
(* -1 (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f))
(* -1 (/ (+ (* -1 n) (* -1 (/ (+ (/ (pow n 3) f) (pow n 2)) f))) f))
(* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow n 4) f)) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 f)
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)
(- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)
-1
(- (* -1 (/ (- n (* -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 (/ (- (* -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 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(/ 1 f)
(+ (/ 1 f) (/ n (pow f 2)))
(+ (* n (+ (/ 1 (pow f 2)) (/ n (pow f 3)))) (/ 1 f))
(+ (* n (+ (* n (+ (/ 1 (pow f 3)) (/ n (pow f 4)))) (/ 1 (pow f 2)))) (/ 1 f))
(/ -1 n)
(/ (- (* -1 (/ f n)) 1) n)
(/ (- (* -1 (/ (pow f 2) (pow n 2))) (+ 1 (/ f n))) n)
(/ (- (* -1 (/ (pow f 3) (pow n 3))) (+ 1 (+ (/ f n) (/ (pow f 2) (pow n 2))))) n)
(/ -1 n)
(* -1 (/ (+ 1 (/ f n)) n))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n))) n))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n))) n))
(/ -1 n)
(- (* -1 (/ f (pow n 2))) (/ 1 n))
(- (* f (- (* -1 (/ f (pow n 3))) (/ 1 (pow n 2)))) (/ 1 n))
(- (* f (- (* f (- (* -1 (/ f (pow n 4))) (/ 1 (pow n 3)))) (/ 1 (pow n 2)))) (/ 1 n))
(/ 1 f)
(/ (+ 1 (/ n f)) f)
(/ (- (+ 1 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) f)
(/ (- (+ 1 (/ (pow n 3) (pow f 3))) (+ (* -1 (/ n f)) (* -1 (/ (pow n 2) (pow f 2))))) f)
(/ 1 f)
(* -1 (/ (- (* -1 (/ n f)) 1) f))
(* -1 (/ (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1) f))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1) f))
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (pow f 2))
(+ (* -1 (pow f 2)) (* 2 (* f n)))
(+ (* -1 (pow f 2)) (* n (+ (* -1 n) (* 2 f))))
(+ (* -1 (pow f 2)) (* n (+ (* -1 n) (* 2 f))))
(* -1 (pow n 2))
(* (pow n 2) (- (* 2 (/ f n)) 1))
(* (pow n 2) (- (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n))) 1))
(* (pow n 2) (- (+ (* -1 (/ (pow f 2) (pow n 2))) (* 2 (/ f n))) 1))
(* -1 (pow n 2))
(* (pow n 2) (- (* 2 (/ f n)) 1))
(* (pow n 2) (- (* -1 (/ (+ (* -2 f) (/ (pow f 2) n)) n)) 1))
(* (pow n 2) (- (* -1 (/ (+ (* -2 f) (/ (pow f 2) n)) n)) 1))
(* -1 (pow n 2))
(+ (* -1 (pow n 2)) (* 2 (* f n)))
(+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n))))
(+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n))))
(* -1 (pow f 2))
(* (pow f 2) (- (* 2 (/ n f)) 1))
(* (pow f 2) (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))
(* (pow f 2) (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))
(* -1 (pow f 2))
(* (pow f 2) (- (* 2 (/ n f)) 1))
(* (pow f 2) (- (* -1 (/ (+ (* -2 n) (/ (pow n 2) f)) f)) 1))
(* (pow f 2) (- (* -1 (/ (+ (* -2 n) (/ (pow n 2) f)) f)) 1))
Outputs
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(* f (+ (/ 1 f) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(/ (+ f n) n)
(/.f64 (+.f64 f n) n)
(/ (+ f n) n)
(/.f64 (+.f64 f n) n)
(/ (+ f n) n)
(/.f64 (+.f64 f n) n)
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (+ (* 2 (/ n f)) (/ (pow n 2) (pow f 2)))))
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1 binary64))
(- (+ (* -1 (/ (pow n 2) (pow f 2))) (* -1 (/ (pow n 3) (pow f 3)))) (+ 1 (+ (* 2 (/ n f)) (+ (/ (pow n 2) (pow f 2)) (/ (pow n 3) (pow f 3))))))
(-.f64 (-.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n (*.f64 f f)) (fma.f64 n (/.f64 n f) n) (/.f64 (+.f64 n n) f))) (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) (*.f64 f f)))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f))) (* -1 n)) f)) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (+.f64 n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f))) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 (+.f64 n n) f) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ f n)) (/ (pow f 2) (pow n 2)))) (* -1 (/ (pow f 2) (pow n 2))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(- (+ 1 (+ (* 2 (/ f n)) (+ (/ (pow f 2) (pow n 2)) (/ (pow f 3) (pow n 3))))) (+ (* -1 (/ (pow f 2) (pow n 2))) (* -1 (/ (pow f 3) (pow n 3)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) (*.f64 n n)) (fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 (/ (- (* -1 f) f) n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (pow f 2) (* -1 (pow f 2))) n))) f) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (pow f 3)) (pow f 3)) n)) (pow f 2)) (* -1 (pow f 2))) n))) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (+.f64 f (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n))) n))
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n)
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
(fma.f64 f (fma.f64 f (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 f (*.f64 n n))) (/.f64 f n))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
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(* (pow n 2) (- (* 2 (/ f n)) 1))
(*.f64 (*.f64 n n) (fma.f64 (/.f64 f n) #s(literal 2 binary64) #s(literal -1 binary64)))
(* (pow n 2) (- (* -1 (/ (+ (* -2 f) (/ (pow f 2) n)) n)) 1))
(*.f64 (*.f64 n n) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 f (+.f64 (/.f64 f n) #s(literal -2 binary64))) n)))
(* (pow n 2) (- (* -1 (/ (+ (* -2 f) (/ (pow f 2) n)) n)) 1))
(*.f64 (*.f64 n n) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 f (+.f64 (/.f64 f n) #s(literal -2 binary64))) n)))
(* -1 (pow n 2))
(*.f64 n (neg.f64 n))
(+ (* -1 (pow n 2)) (* 2 (* f n)))
(*.f64 n (+.f64 (-.f64 f n) f))
(+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n))))
(fma.f64 f (-.f64 (+.f64 n n) f) (*.f64 n (neg.f64 n)))
(+ (* -1 (pow n 2)) (* f (+ (* -1 f) (* 2 n))))
(fma.f64 f (-.f64 (+.f64 n n) f) (*.f64 n (neg.f64 n)))
(* -1 (pow f 2))
(neg.f64 (*.f64 f f))
(* (pow f 2) (- (* 2 (/ n f)) 1))
(*.f64 f (*.f64 f (fma.f64 n (/.f64 #s(literal 2 binary64) f) #s(literal -1 binary64))))
(* (pow f 2) (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))
(*.f64 (*.f64 f f) (fma.f64 (/.f64 n f) (-.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal -1 binary64)))
(* (pow f 2) (- (+ (* -1 (/ (pow n 2) (pow f 2))) (* 2 (/ n f))) 1))
(*.f64 (*.f64 f f) (fma.f64 (/.f64 n f) (-.f64 #s(literal 2 binary64) (/.f64 n f)) #s(literal -1 binary64)))
(* -1 (pow f 2))
(neg.f64 (*.f64 f f))
(* (pow f 2) (- (* 2 (/ n f)) 1))
(*.f64 f (*.f64 f (fma.f64 n (/.f64 #s(literal 2 binary64) f) #s(literal -1 binary64))))
(* (pow f 2) (- (* -1 (/ (+ (* -2 n) (/ (pow n 2) f)) f)) 1))
(*.f64 (*.f64 f f) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 n f) #s(literal -2 binary64))) f)))
(* (pow f 2) (- (* -1 (/ (+ (* -2 n) (/ (pow n 2) f)) f)) 1))
(*.f64 (*.f64 f f) (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (+.f64 (/.f64 n f) #s(literal -2 binary64))) f)))

eval129.0ms (1.3%)

Memory
29.3MiB live, 297.0MiB allocated
Compiler

Compiled 25 941 to 2 547 computations (90.2% saved)

prune204.0ms (2.1%)

Memory
-38.3MiB live, 212.9MiB allocated
Pruning

11 alts after pruning (0 fresh and 11 done)

PrunedKeptTotal
New1 06901 069
Fresh000
Picked033
Done088
Total1 069111 080
Accuracy
100.0%
Counts
1 080 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓52.8%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
✓56.9%
(/.f64 (+.f64 f n) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n))))
✓52.3%
(/.f64 (neg.f64 f) (-.f64 f n))
✓99.9%
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
✓51.9%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓49.0%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓48.8%
(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓47.9%
#s(literal 1 binary64)
✓51.2%
#s(literal -1 binary64)
Compiler

Compiled 218 to 101 computations (53.7% saved)

regimes15.0ms (0.1%)

Memory
27.7MiB live, 27.7MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(-.f64 (/.f64 (neg.f64 n) (-.f64 f n)) (/.f64 f (-.f64 f n)))
(/.f64 (+.f64 f n) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (*.f64 (-.f64 n f) (-.f64 f n))))
(/.f64 (neg.f64 (+.f64 f n)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (-.f64 f n) (-.f64 f n))))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

3 calls:

5.0ms
f
5.0ms
n
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
-20.3MiB live, 17.8MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
Calls

3 calls:

4.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
3.0ms
f
3.0ms
n
Results
AccuracySegmentsBranch
80.2%3f
75.6%3n
97.8%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes2.0ms (0%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
Calls

1 calls:

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

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

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

1 calls:

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

Compiled 10 to 6 computations (40% saved)

regimes1.0ms (0%)

Memory
3.0MiB live, 3.0MiB allocated
Counts
2 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
Calls

1 calls:

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

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0%)

Memory
8.8MiB live, 8.8MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

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

3 calls:

1.0ms
f
1.0ms
n
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
51.2%1n
51.2%1f
51.2%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.833374610134102
0.7335723844970098
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.833374610134102
0.7335723844970098
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.833374610134102
0.7335723844970098
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch17.0ms (0.2%)

Memory
-30.8MiB live, 11.1MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
16.0ms
-0.833374610134102
0.7335723844970098
Samples
8.0ms240×0valid
Compiler

Compiled 133 to 131 computations (1.5% saved)

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

simplify14.0ms (0.1%)

Memory
10.6MiB live, 10.6MiB allocated
Algorithm
1×egg-herbie
Rules
90×unsub-neg_binary64
78×distribute-lft-neg-in_binary64
62×neg-mul-1_binary64
38×cancel-sign-sub_binary64
38×neg-sub0_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02582
14282
26182
37678
49278
512478
616178
721678
827278
930278
1032378
1132878
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness905.0ms (9.1%)

Memory
15.9MiB live, 644.6MiB allocated
Rules
14 778×lower-fma.f64
14 778×lower-fma.f32
13 512×lower-fma.f64
13 512×lower-fma.f32
13 090×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03471918
110721794
229061623
374811623
080591499
02951701
19171591
226051428
373961428
080731341
0145539
1448504
21334469
35180459
08647432
0618
01018
14618
232717
0553017
Stop Event
1×done
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 170 to 85 computations (50% saved)

preprocess99.0ms (1%)

Memory
-1.9MiB live, 105.9MiB allocated
Compiler

Compiled 180 to 56 computations (68.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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