subtraction fraction

Time bar (total: 6.1s)

analyze11.0ms (0.2%)

Memory
16.2MiB live, 16.2MiB 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)

sample601.0ms (9.8%)

Memory
42.1MiB live, 758.5MiB allocated
Samples
369.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 195.0ms
ival-div: 60.0ms (30.8% of total)
ival-add: 45.0ms (23.1% of total)
ival-sub: 41.0ms (21% of total)
ival-neg: 40.0ms (20.5% of total)
ival-true: 6.0ms (3.1% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

preprocess79.0ms (1.3%)

Memory
-24.0MiB live, 99.6MiB 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))

explain68.0ms (1.1%)

Memory
-10.2MiB live, 106.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
00-0-(-.f64 f n)
00-0-f
00-0-n
00-0-(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
24.0ms512×0valid
Compiler

Compiled 64 to 28 computations (56.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sub: 3.0ms (25.6% of total)
ival-div: 3.0ms (25.6% of total)
ival-add: 3.0ms (25.6% of total)
ival-neg: 2.0ms (17% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶100.0%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

simplify26.0ms (0.4%)

Memory
24.5MiB live, 24.5MiB 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)

localize28.0ms (0.5%)

Memory
-13.8MiB live, 27.6MiB 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))
✓accuracy100.0%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Samples
21.0ms256×0valid
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 (35.4% of total)
ival-sub: 1.0ms (17.7% of total)
ival-add: 1.0ms (17.7% of total)
ival-neg: 1.0ms (17.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
6.7MiB live, 6.7MiB 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
f
@inf
(/ (neg (+ f n)) (- f n))
1.0ms
n
@inf
(/ (neg (+ f n)) (- f n))
0.0ms
f
@0
(/ (neg (+ f n)) (- f n))
0.0ms
n
@-inf
(/ (neg (+ f n)) (- f n))
0.0ms
f
@-inf
(/ (neg (+ f n)) (- f n))

rewrite199.0ms (3.2%)

Memory
21.6MiB live, 288.8MiB 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)))

simplify527.0ms (8.6%)

Memory
-22.2MiB live, 548.2MiB 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)

eval92.0ms (1.5%)

Memory
-14.6MiB live, 193.9MiB allocated
Compiler

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

prune96.0ms (1.6%)

Memory
-3.7MiB live, 197.5MiB allocated
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New6518659
Fresh000
Picked101
Done000
Total6528660
Accuracy
100.0%
Counts
660 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶57.6%
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
▶58.2%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
▶100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
44.4%
(/.f64 (neg.f64 n) (-.f64 f n))
▶58.0%
(/.f64 (neg.f64 f) (-.f64 f n))
99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
43.2%
#s(literal 1 binary64)
▶57.1%
#s(literal -1 binary64)
Compiler

Compiled 126 to 84 computations (33.3% saved)

simplify231.0ms (3.8%)

Memory
3.7MiB live, 120.1MiB 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 -2 binary64))
✓cost-diff0
(/.f64 n f)
✓cost-diff0
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
✓cost-diff0
(/.f64 #s(literal -2 binary64) f)
✓cost-diff0
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓cost-diff0
(-.f64 f n)
✓cost-diff0
(neg.f64 f)
✓cost-diff128
(/.f64 (neg.f64 f) (-.f64 f n))
✓cost-diff0
(-.f64 n f)
✓cost-diff0
(+.f64 f n)
✓cost-diff0
(/.f64 (+.f64 f n) (-.f64 n f))
Rules
3 000×lower-fma.f32
2 994×lower-fma.f64
1 504×lower-*.f64
1 504×lower-*.f32
880×div-sub
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01569
02869
15269
211068
317768
431668
571568
6202268
7389868
8454668
9475168
10475868
11475868
12499868
13510268
14510268
15510268
16510268
0510268
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 (neg.f64 f) (-.f64 f n))
(neg.f64 f)
f
(-.f64 f n)
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)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 n f)
n
f
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
#s(literal -1 binary64)
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
f
n
(-.f64 n f)
#s(literal -1 binary64)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 f (-.f64 n f))
(neg.f64 f)
f
(-.f64 f n)
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)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(fma.f64 n (/.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) f) #s(literal -1 binary64))
(/.f64 n f)
n
f
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64))
(/.f64 #s(literal -2 binary64) f)
#s(literal -2 binary64)
#s(literal -1 binary64)

localize62.0ms (1%)

Memory
19.4MiB live, 99.2MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 n f)
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) f)
✓accuracy99.9%
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
✓accuracy99.9%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64))
✓accuracy100.0%
(/.f64 #s(literal -2 binary64) f)
✓accuracy99.9%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓accuracy100.0%
(-.f64 f n)
✓accuracy100.0%
(neg.f64 f)
✓accuracy100.0%
(/.f64 (neg.f64 f) (-.f64 f n))
✓accuracy100.0%
(-.f64 n f)
✓accuracy100.0%
(+.f64 f n)
✓accuracy100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
Samples
43.0ms256×0valid
Compiler

Compiled 75 to 19 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-add: 13.0ms (43.6% of total)
ival-div: 10.0ms (33.6% of total)
ival-mult: 3.0ms (10.1% of total)
ival-sub: 2.0ms (6.7% of total)
ival-neg: 1.0ms (3.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series15.0ms (0.2%)

Memory
-9.7MiB live, 29.2MiB allocated
Counts
11 → 240
Calls
Call 1
Inputs
#<alt (/.f64 (+.f64 f n) (-.f64 n f))>
#<alt (+.f64 f n)>
#<alt (-.f64 n f)>
#<alt (/.f64 (neg.f64 f) (-.f64 f n))>
#<alt (neg.f64 f)>
#<alt (-.f64 f n)>
#<alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))>
#<alt (/.f64 #s(literal -2 binary64) f)>
#<alt (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))>
#<alt (/.f64 n f)>
#<alt (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64))>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (/ f n)>
#<alt (* f (+ (/ 1 n) (/ f (pow n 2))))>
#<alt (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))>
#<alt (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)>
#<alt (/ f n)>
#<alt (/ (+ f (/ (pow f 2) n)) n)>
#<alt (/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)>
#<alt (/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)>
#<alt (/ f n)>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))>
#<alt (* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 f)>
#<alt (* -1 n)>
#<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 (- (* -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>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (* -2 (/ (pow n 2) (pow f 2)))>
#<alt (* -1 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))>
#<alt (* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))>
#<alt (* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))>
#<alt (* -2 (/ (pow n 2) (pow f 2)))>
#<alt (* -1 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))>
#<alt (* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))>
#<alt (* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))>
#<alt (* -2 (/ (pow n 2) (pow f 2)))>
#<alt (/ (+ (* -2 (* f n)) (* -2 (pow n 2))) (pow f 2))>
#<alt (/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))>
#<alt (/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))>
#<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)))) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) 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 -2>
#<alt (- (* -2 (/ n f)) 2)>
#<alt (- (* -2 (/ n f)) 2)>
#<alt (- (* -2 (/ n f)) 2)>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))>
#<alt (* -2 (/ n f))>
#<alt (/ (+ (* -2 f) (* -2 n)) f)>
#<alt (/ (+ (* -2 f) (* -2 n)) f)>
#<alt (/ (+ (* -2 f) (* -2 n)) f)>
#<alt -2>
#<alt (- (* -2 (/ n f)) 2)>
#<alt (- (* -2 (/ n f)) 2)>
#<alt (- (* -2 (/ n f)) 2)>
#<alt -2>
#<alt (- (* -2 (/ n f)) 2)>
#<alt (- (* -2 (/ n f)) 2)>
#<alt (- (* -2 (/ n f)) 2)>
Calls

60 calls:

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

rewrite369.0ms (6%)

Memory
5.7MiB live, 554.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 198×lower-/.f32
5 190×lower-/.f64
4 370×lower-fma.f32
4 364×lower-fma.f64
4 170×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01553
02853
113753
2112653
0823153
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
11 → 708
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(+.f64 f n)
(-.f64 n f)
(/.f64 (neg.f64 f) (-.f64 f n))
(neg.f64 f)
(-.f64 f n)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(/.f64 #s(literal -2 binary64) f)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 n f)
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64))
Outputs
(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 (neg.f64 f) n) (-.f64 n f)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 (+.f64 f n) (-.f64 f n)))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (-.f64 n f)) (/.f64 (/.f64 (*.f64 n n) (-.f64 f n)) (-.f64 n f)))
(-.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 f n))) (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 f n))))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(neg.f64 (/.f64 (-.f64 (neg.f64 f) n) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n))))
(/.f64 (-.f64 (neg.f64 f) n) (-.f64 f n))
(/.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 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f)))) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)) (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 f n) (-.f64 n f)) (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (*.f64 (+.f64 f n) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (-.f64 n f))))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n)))
(/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (-.f64 n f) (-.f64 f n)))
(/.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)))
(/.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (*.f64 (-.f64 f n) (-.f64 n f)))
(/.f64 (neg.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (neg.f64 (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f))))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) (-.f64 f n))) (neg.f64 (*.f64 (-.f64 n f) (-.f64 f n))))
(/.f64 (neg.f64 (-.f64 (neg.f64 f) n)) (neg.f64 (-.f64 f n)))
(/.f64 (*.f64 (+.f64 f n) #s(literal 1 binary64)) (-.f64 n f))
(/.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (-.f64 n f)) (fma.f64 f f (*.f64 n (-.f64 n f))))
(/.f64 (neg.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f))))
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 f n) (-.f64 n f))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 f) n))) (neg.f64 (neg.f64 (-.f64 f n))))
(/.f64 (neg.f64 (*.f64 (+.f64 f n) #s(literal 1 binary64))) (-.f64 f n))
(/.f64 (neg.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (-.f64 n f))) (neg.f64 (fma.f64 f f (*.f64 n (-.f64 n f)))))
(pow.f64 (/.f64 (-.f64 n f) (+.f64 f n)) #s(literal -1 binary64))
(*.f64 (+.f64 f n) (/.f64 #s(literal -1 binary64) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 f n) (-.f64 n f)) (/.f64 (-.f64 f n) (-.f64 f n)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 n f) (+.f64 f n)))))
(*.f64 (-.f64 (neg.f64 f) n) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (fma.f64 f f (*.f64 n (-.f64 n f))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (+.f64 f n))
(*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (-.f64 f n))))
(*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f))))
(*.f64 (*.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (-.f64 n f))))
(*.f64 (neg.f64 (-.f64 (neg.f64 f) n)) (/.f64 #s(literal -1 binary64) (-.f64 f n)))
(*.f64 (*.f64 (+.f64 f n) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 f n)))
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (+.f64 f n) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 f n) (*.f64 n n)))
(*.f64 (/.f64 (+.f64 f n) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (pow.f64 (/.f64 (-.f64 n f) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 f) n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (-.f64 n f)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (/.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (+.f64 f n) (+.f64 f n)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.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))))) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (+.f64 f n) (/.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)))))
(*.f64 (/.f64 (+.f64 f n) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (/.f64 #s(literal 1 binary64) (+.f64 f n))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (+.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 (+.f64 f n) (-.f64 n f))) (*.f64 (+.f64 f n) (+.f64 f n)))
(*.f64 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (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 (/.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 (+.f64 f n) (-.f64 f n)))
(*.f64 (/.f64 (fma.f64 f f (*.f64 n (-.f64 n f))) (-.f64 n f)) (/.f64 (+.f64 f n) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(*.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 #s(literal -1 binary64) (-.f64 f n)) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (fma.f64 f f (*.f64 n (-.f64 n f)))))
(+.f64 f n)
(+.f64 n f)
(+.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (neg.f64 (/.f64 (*.f64 n n) (-.f64 f n))))
(-.f64 n (neg.f64 f))
(-.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (/.f64 (*.f64 n n) (-.f64 f n)))
(-.f64 (/.f64 (*.f64 n n) (-.f64 n f)) (/.f64 (*.f64 f f) (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (neg.f64 f) n)
(fma.f64 (*.f64 f f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 (/.f64 (*.f64 n n) (-.f64 f n))))
(fma.f64 #s(literal 1 binary64) f n)
(fma.f64 (/.f64 f (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (neg.f64 (/.f64 (*.f64 n n) (-.f64 f n))))
(fma.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 f n))) (*.f64 f (+.f64 f n)) (neg.f64 (/.f64 (*.f64 n n) (-.f64 f n))))
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 f (-.f64 n f)) (neg.f64 (/.f64 (*.f64 n n) (-.f64 f n))))
(fma.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 f (-.f64 f n)) (neg.f64 (/.f64 (*.f64 n n) (-.f64 f n))))
(fma.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 f (fma.f64 f f (*.f64 n (-.f64 n f)))) (neg.f64 (/.f64 (*.f64 n n) (-.f64 f n))))
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(*.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 n (*.f64 f #s(literal -1/2 binary64))) (*.f64 n #s(literal -2 binary64))) (*.f64 (*.f64 n #s(literal -2 binary64)) #s(literal -2 binary64))) f))))
(*.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)))
(*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 n f) (/.f64 n f)) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 n f) (/.f64 n f)) (-.f64 #s(literal 4 binary64) (*.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f #s(literal -1/2 binary64)))))))))
(*.f64 (neg.f64 (fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 n f) (/.f64 n f)) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 n #s(literal -2 binary64)) (*.f64 n #s(literal -2 binary64))) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f #s(literal -1/2 binary64))))))

simplify355.0ms (5.8%)

Memory
12.5MiB live, 690.2MiB allocated
Algorithm
1×egg-herbie
Rules
11 790×lower-fma.f64
11 790×lower-fma.f32
3 660×lower-*.f64
3 660×lower-*.f32
2 722×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02681714
18171663
224331460
369191460
081201356
Stop Event
1×iter limit
1×node limit
Counts
240 → 228
Calls
Call 1
Inputs
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(/ f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(/ f n)
(/ (+ f (/ (pow f 2) n)) n)
(/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)
(/ f n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 n)
(- f n)
(- f n)
(- f n)
f
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
(* f (+ 1 (* -1 (/ n f))))
f
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
(* -1 (* f (- (/ n f) 1)))
f
(+ f (* -1 n))
(+ f (* -1 n))
(+ f (* -1 n))
(* -1 n)
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* n (- (/ f n) 1))
(* -1 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(* -1 (* n (+ 1 (* -1 (/ f n)))))
-1
(- (* -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
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(* -2 (/ (pow n 2) (pow f 2)))
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(* -2 (/ (pow n 2) (pow f 2)))
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(* -2 (/ (pow n 2) (pow f 2)))
(/ (+ (* -2 (* f n)) (* -2 (pow n 2))) (pow f 2))
(/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))
(/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))
-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)))) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f)) 1)
(- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f)) 1)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
-2
(- (* -2 (/ n f)) 2)
(- (* -2 (/ n f)) 2)
(- (* -2 (/ n f)) 2)
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(* -2 (/ n f))
(/ (+ (* -2 f) (* -2 n)) f)
(/ (+ (* -2 f) (* -2 n)) f)
(/ (+ (* -2 f) (* -2 n)) f)
-2
(- (* -2 (/ n f)) 2)
(- (* -2 (/ n f)) 2)
(- (* -2 (/ n f)) 2)
-2
(- (* -2 (/ n f)) 2)
(- (* -2 (/ n f)) 2)
(- (* -2 (/ n f)) 2)
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(+.f64 (/.f64 (+.f64 f f) n) (fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(-.f64 (fma.f64 n (*.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f)))) #s(literal -1 binary64)) (/.f64 (+.f64 n n) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+.f64 (/.f64 (+.f64 f f) n) (fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) #s(literal 1 binary64)))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 (/.f64 f n) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.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)))
(fma.f64 f (/.f64 n f) f)
(* f (+ 1 (/ n f)))
(fma.f64 f (/.f64 n f) f)
(* f (+ 1 (/ n f)))
(fma.f64 f (/.f64 n f) f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 f (/.f64 n f) f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 f (/.f64 n f) f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(fma.f64 f (/.f64 n f) f)
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 (/.f64 (*.f64 f n) f) f)
(* f (- (/ n f) 1))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* f (- (/ n f) 1))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 (/.f64 (*.f64 f n) f) f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(-.f64 (/.f64 (*.f64 f n) f) f)
(/ f n)
(/.f64 f n)
(* f (+ (/ 1 n) (/ f (pow n 2))))
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n)))
(fma.f64 f (fma.f64 f (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (*.f64 n n))) (/.f64 f n))
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
(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)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ (- (/ (pow n 2) f) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) f)) f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* n (- (* -1 (/ n (pow f 2))) (/ 1 f))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (/.f64 (*.f64 n (fma.f64 n (/.f64 n f) n)) f)) f))
(/ f n)
(/.f64 f n)
(/ (+ f (/ (pow f 2) n)) n)
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(/ (+ f (+ (/ (pow f 2) n) (/ (pow f 3) (pow n 2)))) n)
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n)
(/ (+ f (+ (/ (pow f 2) n) (+ (/ (pow f 3) (pow n 2)) (/ (pow f 4) (pow n 3))))) n)
(/.f64 (+.f64 f (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) (/.f64 (pow.f64 f #s(literal 4 binary64)) (*.f64 n (*.f64 n n))))) n)
(/ f n)
(/.f64 f n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (pow f 2) n))) n))
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (/ (pow f 3) n) (pow f 2)) n))) n))
(/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 f (/.f64 (fma.f64 f f (/.f64 (fma.f64 f (*.f64 f f) (/.f64 (pow.f64 f #s(literal 4 binary64)) n)) n)) n)) n)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 f)
(neg.f64 f)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
f
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f (/.f64 (*.f64 f n) f))
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f (/.f64 (*.f64 f n) f))
(* f (+ 1 (* -1 (/ n f))))
(-.f64 f (/.f64 (*.f64 f n) f))
f
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (/.f64 (*.f64 f n) f))
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (/.f64 (*.f64 f n) f))
(* -1 (* f (- (/ n f) 1)))
(-.f64 f (/.f64 (*.f64 f n) f))
f
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(+ f (* -1 n))
(-.f64 f n)
(* -1 n)
(neg.f64 n)
(* n (- (/ f n) 1))
(-.f64 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))
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(* -2 (/ n f))
(/.f64 (-.f64 (neg.f64 n) n) f)
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(* -2 (/ n f))
(/.f64 (-.f64 (neg.f64 n) n) f)
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(* -2 (/ n f))
(/.f64 (-.f64 (neg.f64 n) n) f)
(/ (+ (* -2 n) (* -1 f)) f)
(/.f64 (-.f64 (-.f64 (neg.f64 n) n) f) f)
(/ (+ (* -2 n) (* -1 f)) f)
(/.f64 (-.f64 (-.f64 (neg.f64 n) n) f) f)
(/ (+ (* -2 n) (* -1 f)) f)
(/.f64 (-.f64 (-.f64 (neg.f64 n) n) f) f)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
(/ -2 f)
(/.f64 #s(literal -2 binary64) f)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #s(literal -1 binary64))
(* -2 (/ (pow n 2) (pow f 2)))
(/.f64 (*.f64 (*.f64 n n) #s(literal -2 binary64)) (*.f64 f f))
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(*.f64 (*.f64 n n) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 #s(literal -1 binary64) n)) n) (/.f64 #s(literal -2 binary64) (*.f64 f f))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(*.f64 (*.f64 n n) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 #s(literal -1 binary64) n)) n) (/.f64 #s(literal -2 binary64) (*.f64 f f))))
(* -2 (/ (pow n 2) (pow f 2)))
(/.f64 (*.f64 (*.f64 n n) #s(literal -2 binary64)) (*.f64 f f))
(* -1 (* (pow n 2) (+ (* 2 (/ 1 (pow f 2))) (* 2 (/ 1 (* f n))))))
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 n (/.f64 n f) n) f))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(*.f64 (*.f64 n n) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 #s(literal -1 binary64) n)) n) (/.f64 #s(literal -2 binary64) (*.f64 f f))))
(* (pow n 2) (- (* -1 (/ (+ (* 2 (/ 1 f)) (/ 1 n)) n)) (* 2 (/ 1 (pow f 2)))))
(*.f64 (*.f64 n n) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) f) (/.f64 #s(literal -1 binary64) n)) n) (/.f64 #s(literal -2 binary64) (*.f64 f f))))
(* -2 (/ (pow n 2) (pow f 2)))
(/.f64 (*.f64 (*.f64 n n) #s(literal -2 binary64)) (*.f64 f f))
(/ (+ (* -2 (* f n)) (* -2 (pow n 2))) (pow f 2))
(/.f64 (*.f64 (-.f64 (neg.f64 n) n) (+.f64 f n)) (*.f64 f f))
(/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))
(/.f64 (fma.f64 (-.f64 (neg.f64 n) n) (+.f64 f n) (*.f64 f (neg.f64 f))) (*.f64 f f))
(/ (+ (* -2 (pow n 2)) (* f (+ (* -2 n) (* -1 f)))) (pow f 2))
(/.f64 (fma.f64 (-.f64 (neg.f64 n) n) (+.f64 f n) (*.f64 f (neg.f64 f))) (*.f64 f f))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #s(literal -1 binary64))
(- (+ (* -2 (/ n f)) (* -2 (/ (pow n 2) (pow f 2)))) 1)
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #s(literal -1 binary64))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f)) 1)
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #s(literal -1 binary64))
(- (* -1 (/ (+ (* 2 n) (* 2 (/ (pow n 2) f))) f)) 1)
(fma.f64 (/.f64 n f) (-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f)) #s(literal -1 binary64))
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
-2
#s(literal -2 binary64)
(- (* -2 (/ n f)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(- (* -2 (/ n f)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(- (* -2 (/ n f)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(* -2 (/ n f))
(/.f64 (-.f64 (neg.f64 n) n) f)
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(* -2 (/ n f))
(/.f64 (-.f64 (neg.f64 n) n) f)
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(* -1 (* n (+ (* 2 (/ 1 f)) (* 2 (/ 1 n)))))
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(* -2 (/ n f))
(/.f64 (-.f64 (neg.f64 n) n) f)
(/ (+ (* -2 f) (* -2 n)) f)
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 f n)) f)
(/ (+ (* -2 f) (* -2 n)) f)
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 f n)) f)
(/ (+ (* -2 f) (* -2 n)) f)
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 f n)) f)
-2
#s(literal -2 binary64)
(- (* -2 (/ n f)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(- (* -2 (/ n f)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(- (* -2 (/ n f)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
-2
#s(literal -2 binary64)
(- (* -2 (/ n f)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(- (* -2 (/ n f)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))
(- (* -2 (/ n f)) 2)
(-.f64 #s(literal -2 binary64) (/.f64 (+.f64 n n) f))

eval313.0ms (5.1%)

Memory
-4.5MiB live, 287.3MiB allocated
Compiler

Compiled 21 061 to 2 055 computations (90.2% saved)

prune138.0ms (2.3%)

Memory
-11.9MiB live, 264.6MiB allocated
Pruning

9 alts after pruning (4 fresh and 5 done)

PrunedKeptTotal
New9621963
Fresh033
Picked055
Done000
Total9629971
Accuracy
100.0%
Counts
971 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.6%
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
✓58.2%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
▶44.4%
(/.f64 (neg.f64 n) (-.f64 f n))
✓58.0%
(/.f64 (neg.f64 f) (-.f64 f n))
▶57.5%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
▶99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
▶43.2%
#s(literal 1 binary64)
✓57.1%
#s(literal -1 binary64)
Compiler

Compiled 70 to 47 computations (32.9% saved)

simplify34.0ms (0.6%)

Memory
18.3MiB live, 57.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 9 expressions of interest:

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

Useful iterations: 2 (0.0ms)

IterNodesCost
01348
02248
14346
28045
312945
425545
556445
679845
784145
886045
986445
1086545
086545
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
#s(literal 1 binary64)
(*.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)
(-.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
Outputs
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(/.f64 (+.f64 n f) (-.f64 n f))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
#s(literal 1 binary64)
(-.f64 n f)
n
f
(+.f64 f n)
(+.f64 n f)
(-.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

localize42.0ms (0.7%)

Memory
-3.4MiB live, 76.0MiB allocated
Localize:

Found 9 expressions of interest:

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

Compiled 50 to 15 computations (70% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sub: 6.0ms (38.7% of total)
ival-div: 5.0ms (32.3% of total)
ival-mult: 2.0ms (12.9% of total)
ival-add: 1.0ms (6.5% of total)
ival-neg: 1.0ms (6.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
10.2MiB live, 10.2MiB allocated
Counts
9 → 204
Calls
Call 1
Inputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 n f))>
#<alt (-.f64 n f)>
#<alt (+.f64 f n)>
#<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)>
Outputs
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt (/ -1 f)>
#<alt (- (* -1 (/ n (pow f 2))) (/ 1 f))>
#<alt (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (/ 1 n)>
#<alt (/ (+ 1 (/ f n)) n)>
#<alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)>
#<alt (/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (- (* -1 (/ f n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))>
#<alt (/ 1 n)>
#<alt (+ (/ 1 n) (/ f (pow n 2)))>
#<alt (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))>
#<alt (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))>
#<alt (/ -1 f)>
#<alt (/ (- (* -1 (/ n f)) 1) f)>
#<alt (/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)>
#<alt (/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)>
#<alt (/ -1 f)>
#<alt (* -1 (/ (+ 1 (/ n f)) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt 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>
#<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)))))>
Calls

51 calls:

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

rewrite329.0ms (5.4%)

Memory
-25.3MiB live, 454.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 842×lower-fma.f64
5 842×lower-fma.f32
4 674×lower-*.f32
4 672×lower-*.f64
3 950×lower-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01339
02239
19936
277136
0930536
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
9 → 931
Calls
Call 1
Inputs
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
(-.f64 n f)
(+.f64 f n)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 n f)
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(-.f64 f n)
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 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 n n)) (*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 f (+.f64 n f))))
(+.f64 (*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 f (+.f64 n f))) (*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (fma.f64 n n (*.f64 f f))) (*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 n f)))
(+.f64 (*.f64 (*.f64 n n) (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f)))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f)))))
(+.f64 (*.f64 (*.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f)))) (*.f64 (*.f64 n n) (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f)))))
(+.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f)))) (*.f64 (*.f64 n f) (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f)))))
(-.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 f (/.f64 f (-.f64 f n))) (-.f64 n f)) (/.f64 (*.f64 n (/.f64 n (-.f64 f n))) (-.f64 n f)))
(-.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 #s(literal 1 binary64) (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 #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 f n)) f) (/.f64 n (-.f64 n f)))
(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 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 n n) (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f)))))
(fma.f64 (*.f64 f (+.f64 n f)) (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 (*.f64 n n) (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 n) (/.f64 f (-.f64 n f)))
(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 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 (neg.f64 n) #s(literal 1 binary64)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (-.f64 f n)) #s(literal -1 binary64) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 f (-.f64 n f)) #s(literal 1 binary64) (/.f64 n (-.f64 n f)))
(fma.f64 (fma.f64 n n (*.f64 f f)) (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 (*.f64 n f) (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f)))))
(fma.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) n) (/.f64 f (-.f64 n f)))
(fma.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (-.f64 n f) #s(literal -1/2 binary64)) f) (/.f64 n (-.f64 n f)))
(fma.f64 (*.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 n n) (*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 f (+.f64 n f))))
(fma.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 f (+.f64 n f)) (*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 n n)))
(fma.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (fma.f64 n n (*.f64 f f)) (*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (*.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (+.f64 n f))))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (+.f64 n f))))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n))) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) n) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n))) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) f) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 n f))) (*.f64 f (+.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 n f))) (*.f64 n (+.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 n f))) (*.f64 (+.f64 n f) f) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 n f) (+.f64 n f))) (*.f64 (+.f64 n f) n) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (+.f64 n f))))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 f n))) (neg.f64 (+.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (+.f64 n f))))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) (+.f64 n f) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n))) (neg.f64 (*.f64 n (fma.f64 n n (*.f64 f (+.f64 n f))))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n))) (/.f64 (neg.f64 n) (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (+.f64 n f))))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n))) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (neg.f64 n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 f n))) (neg.f64 (*.f64 n (+.f64 n f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 n f) (-.f64 f n))) (*.f64 (+.f64 n f) (neg.f64 n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 (-.f64 n f) (-.f64 f n)) (/.f64 n (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 (-.f64 n f) (-.f64 f n)) (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 f n))) (neg.f64 (+.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 (neg.f64 n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 n (fma.f64 n (-.f64 n f) (*.f64 f f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 f (fma.f64 n (-.f64 n f) (*.f64 f f))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (neg.f64 n) (fma.f64 n (-.f64 n f) (*.f64 f f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 n f) (-.f64 f n))) (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal -1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 n (fma.f64 n (-.f64 n f) (*.f64 f f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (/.f64 (-.f64 n f) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f)))
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(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (fma.f64 f (*.f64 (*.f64 f f) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (-.f64 n f)) (*.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f)))))) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n (-.f64 n f)) (-.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))))
(/.f64 (*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (*.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))) (-.f64 (*.f64 f f) (*.f64 n (-.f64 n f))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f)))))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n)) (*.f64 (+.f64 n f) (-.f64 f n)))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 (*.f64 f f) (*.f64 f (*.f64 f f))))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (+.f64 n f))))) (fma.f64 f (*.f64 (*.f64 f f) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (*.f64 n n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))))
(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (+.f64 n f))))) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))
(/.f64 (*.f64 (*.f64 (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (fma.f64 f (*.f64 f (*.f64 f f)) (*.f64 (*.f64 n n) (fma.f64 n n (*.f64 f f)))))
(/.f64 (*.f64 (*.f64 (fma.f64 f f (*.f64 n n)) (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (+.f64 n f))) (fma.f64 f f (*.f64 n n)))
(/.f64 (*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 n (-.f64 n f) (*.f64 f f))) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))
(/.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (/.f64 (+.f64 n f) (fma.f64 n n (*.f64 f (+.f64 n f)))) #s(literal 1 binary64))) (fma.f64 n n (*.f64 f (+.f64 n f))))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 f n))
(*.f64 (-.f64 n f) #s(literal -1 binary64))
(*.f64 (+.f64 n f) (/.f64 (-.f64 f n) (+.f64 n f)))
(*.f64 (+.f64 n f) (*.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 #s(literal -1 binary64) (-.f64 n f))
(*.f64 (-.f64 f n) #s(literal 1 binary64))
(*.f64 (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 n n (*.f64 f (+.f64 n f))))))
(*.f64 (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f)) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (+.f64 n f))))))
(*.f64 (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (+.f64 n f)))))
(*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (*.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (+.f64 n f))))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (*.f64 (-.f64 n f) (-.f64 n f)))
(*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(*.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 n f))))
(*.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (+.f64 n f)))) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(*.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n)))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))
(*.f64 (/.f64 (-.f64 n f) (-.f64 f n)) (-.f64 n f))
(*.f64 (/.f64 (+.f64 n f) (+.f64 n f)) (-.f64 f n))
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
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(*.f64 (neg.f64 (/.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(*.f64 (neg.f64 (/.f64 (-.f64 n f) (-.f64 f n))) (-.f64 f n))
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(*.f64 (/.f64 (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 f n)) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 (*.f64 f f) (*.f64 n (+.f64 n f))))) (-.f64 (*.f64 f f) (*.f64 n (+.f64 n f))))

simplify389.0ms (6.4%)

Memory
16.7MiB live, 523.9MiB 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
02951403
19171290
226071166
373831166
080601109
Stop Event
1×iter limit
1×node limit
Counts
204 → 192
Calls
Call 1
Inputs
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(/ -1 f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(/ 1 n)
(/ (+ 1 (/ f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/ 1 n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/ 1 n)
(+ (/ 1 n) (/ f (pow n 2)))
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(/ -1 f)
(/ (- (* -1 (/ n f)) 1) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/ -1 f)
(* -1 (/ (+ 1 (/ n f)) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
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n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(* -1 (/ n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (/ n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (/ n f))
(/ (- (* -1 f) n) f)
(/ (- (* -1 f) n) f)
(/ (- (* -1 f) n) f)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(* -1 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
1
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 n)
(* -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)))))
Outputs
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (/.f64 #s(literal -2 binary64) (*.f64 f f)) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (fma.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f (*.f64 f f))) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (/.f64 (+.f64 f f) n)))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (+.f64 f (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) 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 #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)))))
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (/.f64 (+.f64 f f) n)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 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 n (-.f64 (neg.f64 n) n)) (*.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)
(fma.f64 #s(literal -2 binary64) (/.f64 n f) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (*.f64 n (fma.f64 #s(literal 2 binary64) (/.f64 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 (+.f64 n 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 (*.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 f f))) (/.f64 n (*.f64 f (*.f64 f (*.f64 f f)))))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (+ 1 (/ f n)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n)) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n)) n)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/.f64 (+.f64 #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)
(* -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)
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
n
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
-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 (*.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 f f))) (/.f64 n (*.f64 f (*.f64 f (*.f64 f f)))))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 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)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 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)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 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)
(neg.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f))
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)
(/.f64 (-.f64 (/.f64 (neg.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))
(neg.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (-.f64 (/.f64 (neg.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)

eval138.0ms (2.3%)

Memory
11.4MiB live, 275.7MiB allocated
Compiler

Compiled 25 652 to 2 509 computations (90.2% saved)

prune372.0ms (6.1%)

Memory
4.9MiB live, 298.7MiB allocated
Pruning

9 alts after pruning (1 fresh and 8 done)

PrunedKeptTotal
New1 12211 123
Fresh000
Picked134
Done055
Total1 12391 132
Accuracy
100.0%
Counts
1 132 → 9
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.6%
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
✓58.2%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
✓58.0%
(/.f64 (neg.f64 f) (-.f64 f n))
✓57.5%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
▶44.1%
(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓43.2%
#s(literal 1 binary64)
✓57.1%
#s(literal -1 binary64)
Compiler

Compiled 69 to 47 computations (31.9% saved)

simplify4.0ms (0.1%)

Memory
8.2MiB live, 8.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 f n)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 f n))
Rules
4×lower-+.f32
2×lift-+.f64
2×lift-/.f64
2×lower-+.f64
2×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0511
0711
11011
01011
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal 1 binary64)
(/.f64 f n)
f
n
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
#s(literal 1 binary64)
(/.f64 f n)
f
n

localize16.0ms (0.3%)

Memory
-4.0MiB live, 34.8MiB allocated
Localize:

Found 2 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(/.f64 f n)
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 f n))
Samples
10.0ms256×0valid
Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 3.0ms (64.8% of total)
ival-add: 1.0ms (21.6% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
2 → 48
Calls
Call 1
Inputs
#<alt (+.f64 #s(literal 1 binary64) (/.f64 f n))>
#<alt (/.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)>
Calls

12 calls:

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

rewrite285.0ms (4.7%)

Memory
-15.9MiB live, 369.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
3 454×lower-fma.f64
3 454×lower-fma.f32
3 082×lower-/.f32
3 080×lower-/.f64
2 528×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
058
078
1308
22168
342928
088168
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
2 → 191
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 f n)
Outputs
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+.f64 #s(literal 1 binary64) (/.f64 (neg.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))) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(+.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 f n))
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) n))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n))))
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64))) (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64))))
(-.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 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 f) n) #s(literal 1 binary64))
(fma.f64 f (/.f64 #s(literal 1 binary64) 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 (/.f64 f n) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 f) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) f)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (log.f64 f)) #s(literal 1 binary64))
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 #s(literal -1 binary64) (/.f64 f n) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (neg.f64 f) n) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(fma.f64 (neg.f64 f) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))
(fma.f64 (neg.f64 f) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (/.f64 #s(literal -1 binary64) n) f #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 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 (neg.f64 f) n) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) f)) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) f)) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 f n) #s(literal 1/2 binary64)) (pow.f64 (/.f64 f n) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))))) (fma.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (*.f64 n n) (*.f64 n n))))) (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (/.f64 (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.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))))))) (fma.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (/.f64 (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) f)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) f)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 f) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (neg.f64 f) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) (pow.f64 (neg.f64 f) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (pow.f64 (/.f64 f n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 f n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 f n)) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (+.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64)))) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 f n))) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) #s(literal -1 binary64))) (neg.f64 (/.f64 (*.f64 f f) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (*.f64 n n)))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 f)) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(fma.f64 (exp.f64 (log.f64 (neg.f64 f))) (exp.f64 (neg.f64 (log.f64 (neg.f64 n)))) #s(literal 1 binary64))
(neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))) #s(literal 1 binary64))))
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(*.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))))
(*.f64 (/.f64 #s(literal 1 binary64) (+.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 #s(literal 1 binary64) (/.f64 f n))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.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 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))))
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) #s(literal -1 binary64)))
(*.f64 (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 f n) #s(literal -1 binary64))))
(*.f64 (+.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))) (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (fma.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (*.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) (+.f64 (/.f64 f n) #s(literal -1 binary64)))) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (*.f64 f (/.f64 f n)) f) n) (-.f64 (/.f64 (-.f64 (*.f64 f (/.f64 f n)) f) n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n)))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal -1 binary64)) (/.f64 (*.f64 n n) (*.f64 f f))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 f (/.f64 f n)) f) n)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 f n))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (+.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) #s(literal -1 binary64))) (neg.f64 (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 f f) (*.f64 n n)))) (+.f64 #s(literal -1 binary64) (/.f64 f n)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 f f) (*.f64 n n))) (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal -1 binary64))) (+.f64 (/.f64 f n) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f f) (*.f64 f f)) (*.f64 (*.f64 n n) (*.f64 n n))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 f (/.f64 f (*.f64 n n)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 f (/.f64 (+.f64 (/.f64 f n) #s(literal -1 binary64)) n) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (*.f64 f f)) (*.f64 n (*.f64 n n))))))
(exp.f64 (log.f64 (/.f64 f n)))
(exp.f64 (*.f64 (log.f64 (/.f64 f n)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 f) n))
(-.f64 (/.f64 #s(literal 0 binary64) n) (/.f64 (neg.f64 f) n))
(neg.f64 (/.f64 (neg.f64 f) n))
(/.f64 #s(literal 1 binary64) (/.f64 n f))
(/.f64 f n)
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) f))
(/.f64 #s(literal -1 binary64) (/.f64 n (neg.f64 f)))
(/.f64 (neg.f64 f) (neg.f64 n))
(/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 #s(literal 1 binary64) f)))
(/.f64 (/.f64 f #s(literal 1 binary64)) n)
(/.f64 (exp.f64 (log.f64 f)) n)
(/.f64 (exp.f64 (log.f64 (neg.f64 f))) (exp.f64 (log.f64 (neg.f64 n))))
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (exp.f64 (log.f64 (/.f64 n (neg.f64 f)))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 f) #s(literal -1 binary64))) (neg.f64 n))
(/.f64 (neg.f64 (/.f64 f #s(literal 1 binary64))) (neg.f64 n))
(pow.f64 (/.f64 f n) #s(literal 1 binary64))
(pow.f64 (/.f64 n f) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 f n) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 n f)))
(*.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 (/.f64 #s(literal 1 binary64) n) f)
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) f)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) n) (exp.f64 (log.f64 f)))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 f) n))
(*.f64 #s(literal -1 binary64) (pow.f64 (/.f64 (neg.f64 f) n) #s(literal 1 binary64)))
(*.f64 (neg.f64 f) (/.f64 #s(literal -1 binary64) n))
(*.f64 (neg.f64 f) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 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) (/.f64 #s(literal 1 binary64) f)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) f)) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 f n) #s(literal 1/2 binary64)) (pow.f64 (/.f64 f n) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) f)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) f)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 f) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 f) #s(literal 1 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) (pow.f64 (neg.f64 f) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (/.f64 f n) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (/.f64 f n) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n))
(*.f64 (exp.f64 (log.f64 f)) (/.f64 #s(literal 1 binary64) n))
(*.f64 (exp.f64 (log.f64 (neg.f64 f))) (exp.f64 (neg.f64 (log.f64 (neg.f64 n)))))

simplify7.0ms (0.1%)

Memory
13.7MiB live, 13.7MiB allocated
Algorithm
1×egg-herbie
Rules
32×lower-*.f64
32×lower-*.f32
20×lower-fma.f64
20×lower-fma.f32
12×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011174
123174
233174
336174
451174
557174
657174
057174
Stop Event
1×iter limit
1×saturated
Counts
48 → 48
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)
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)

eval72.0ms (1.2%)

Memory
-28.5MiB live, 44.7MiB allocated
Compiler

Compiled 4 878 to 460 computations (90.6% saved)

prune102.0ms (1.7%)

Memory
-16.4MiB live, 60.4MiB allocated
Pruning

10 alts after pruning (1 fresh and 9 done)

PrunedKeptTotal
New2381239
Fresh000
Picked011
Done088
Total23810248
Accuracy
100.0%
Counts
248 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓57.6%
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
✓58.2%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
✓100.0%
(/.f64 (+.f64 f n) (-.f64 n f))
44.1%
(/.f64 (+.f64 f n) n)
✓58.0%
(/.f64 (neg.f64 f) (-.f64 f n))
✓57.5%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓44.1%
(+.f64 #s(literal 1 binary64) (/.f64 f n))
✓99.7%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (+.f64 f n))
✓43.2%
#s(literal 1 binary64)
✓57.1%
#s(literal -1 binary64)
Compiler

Compiled 148 to 77 computations (48% saved)

regimes12.0ms (0.2%)

Memory
27.2MiB live, 27.2MiB allocated
Counts
12 → 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 (+.f64 f n) n)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 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))
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

3 calls:

4.0ms
f
4.0ms
n
3.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
100.0%1f
100.0%1n
100.0%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes9.0ms (0.1%)

Memory
-18.0MiB live, 21.1MiB 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 (+.f64 f n) n)
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
Outputs
(/.f64 (neg.f64 f) (-.f64 f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
Calls

3 calls:

4.0ms
n
3.0ms
f
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
79.2%3f
77.1%3n
98.8%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes2.0ms (0%)

Memory
5.2MiB live, 5.2MiB allocated
Counts
5 → 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 (+.f64 f n) 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
98.8%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes2.0ms (0%)

Memory
4.1MiB live, 4.1MiB 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
98.7%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes1.0ms (0%)

Memory
3.5MiB live, 3.5MiB 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
98.7%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 10 to 6 computations (40% saved)

regimes4.0ms (0.1%)

Memory
9.9MiB live, 9.9MiB 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
n
1.0ms
f
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
57.1%1n
57.1%1f
57.1%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.9999999254044121
0.9996045048105957
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
-0.9999999254044121
0.9996045048105957
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
-0.9999999254044121
0.9996045048105957
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch15.0ms (0.2%)

Memory
-23.2MiB live, 19.5MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-0.9999999254044121
0.9996045048105957
Samples
4.0ms240×0valid
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)

simplify18.0ms (0.3%)

Memory
-13.8MiB live, 25.0MiB allocated
Algorithm
1×egg-herbie
Rules
88×unsub-neg_binary64
70×distribute-lft-neg-in_binary64
64×neg-mul-1_binary64
34×cancel-sign-sub-inv_binary64
32×+-commutative_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02481
14381
26581
38176
49776
512776
615976
720776
825676
928176
1030176
1130576
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 (neg.f64 f) (-.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 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 -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 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 (neg.f64 f) (-.f64 f n)) (+.f64 #s(literal 1 binary64) (/.f64 f n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (/.f64 f (-.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)) (-.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 -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1012011266537/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness850.0ms (13.9%)

Memory
13.1MiB live, 600.8MiB allocated
Rules
14 778×lower-fma.f64
14 778×lower-fma.f32
13 090×lower-fma.f64
13 090×lower-fma.f32
11 790×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0618
01018
14618
232717
0553017
02951403
19171290
226071166
373831166
080601109
02681714
18171663
224331460
369191460
081201356
0145539
1448504
21334469
35180459
08647432
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 167 to 82 computations (50.9% saved)

preprocess192.0ms (3.1%)

Memory
12.6MiB live, 89.3MiB allocated
Compiler

Compiled 176 to 52 computations (70.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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