subtraction fraction

Time bar (total: 8.9s)

analyze12.0ms (0.1%)

Memory
17.0MiB live, 17.0MiB 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)

sample622.0ms (7%)

Memory
28.7MiB live, 791.9MiB allocated
Samples
385.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 205.0ms
ival-div: 61.0ms (29.8% of total)
ival-add: 47.0ms (23% of total)
ival-neg: 45.0ms (22% of total)
ival-sub: 43.0ms (21% of total)
ival-true: 6.0ms (2.9% of total)
ival-assert: 3.0ms (1.5% of total)
Bogosity

preprocess74.0ms (0.8%)

Memory
-20.2MiB live, 64.5MiB 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))

explain69.0ms (0.8%)

Memory
23.4MiB live, 101.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2560-256(-2.1422877388607074e+271 1.3466987899700955e+256)(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
2560-256(-2.1422877388607074e+271 1.3466987899700955e+256)(-.f64 f n)
2560-256(-2.1422877388607074e+271 1.3466987899700955e+256)(neg.f64 (+.f64 f n))
00-0-(+.f64 f n)
00-0-f
00-0-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
25.0ms512×0valid
Compiler

Compiled 86 to 34 computations (60.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-div: 4.0ms (33.5% of total)
ival-sub: 3.0ms (25.1% of total)
ival-add: 3.0ms (25.1% of total)
ival-neg: 2.0ms (16.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

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

Compiled 10 to 6 computations (40% saved)

simplify27.0ms (0.3%)

Memory
-18.1MiB live, 20.6MiB 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)

localize23.0ms (0.3%)

Memory
-8.1MiB live, 32.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 f n)
✓accuracy3.6%
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
✓accuracy2.3%
(neg.f64 (+.f64 f n))
✓accuracy2.2%
(-.f64 f n)
Samples
15.0ms256×0valid
Compiler

Compiled 44 to 14 computations (68.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-add: 4.0ms (45.6% of total)
ival-div: 2.0ms (22.8% of total)
ival-sub: 1.0ms (11.4% of total)
ival-neg: 1.0ms (11.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series6.0ms (0.1%)

Memory
7.2MiB live, 7.2MiB allocated
Counts
4 → 96
Calls
Call 1
Inputs
#<alt (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))>
#<alt (neg.f64 (+.f64 f n))>
#<alt (+.f64 f n)>
#<alt (-.f64 f n)>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (* -1 (/ (- n (* -1 n)) f))) 1)>
#<alt (- (+ (* -1 (/ (* n (- n (* -1 n))) (pow f 2))) (+ (* -1 (/ (* (pow n 2) (- n (* -1 n))) (pow f 3))) (* -1 (/ (- n (* -1 n)) f)))) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (* n (- (* -1 n) n)) f))) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* -1 n) n)) (* -1 (/ (+ (* n (- (* -1 n) n)) (/ (* (pow n 2) (- (* -1 n) n)) f)) f))) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (* -1 (/ (- (* -1 f) f) n))))>
#<alt (+ 1 (+ (* -1 (/ (* f (- (* -1 f) f)) (pow n 2))) (+ (* -1 (/ (* (pow f 2) (- (* -1 f) f)) (pow n 3))) (* -1 (/ (- (* -1 f) f) n)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* -1 f) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (/ (* f (- (* -1 f) f)) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 f) (* -1 (/ (- (* -1 (/ (* (pow f 2) (- (* -1 f) f)) n)) (* f (- (* -1 f) f))) n))) f) n)))>
#<alt (* -1 n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (- (* -1 f) n)>
#<alt (* -1 f)>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* f (- (* -1 (/ n f)) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 (* f (+ 1 (/ n f))))>
#<alt (* -1 f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (- (* -1 n) f)>
#<alt (* -1 n)>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* n (- (* -1 (/ f n)) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt (* -1 (* n (+ 1 (/ f n))))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
Calls

24 calls:

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

Compiled 199 to 131 computations (34.2% saved)

rewrite198.0ms (2.2%)

Memory
24.7MiB live, 292.9MiB 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)))
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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)))

simplify556.0ms (6.3%)

Memory
-2.3MiB live, 603.3MiB allocated
Algorithm
1×egg-herbie
Rules
14 778×lower-fma.f64
14 778×lower-fma.f32
3 728×lower-*.f64
3 728×lower-*.f32
1 970×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval75.0ms (0.8%)

Memory
1.9MiB live, 169.9MiB allocated
Compiler

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

prune129.0ms (1.5%)

Memory
-11.4MiB live, 188.3MiB 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
▶99.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
48.7%
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
▶99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
53.7%
(/.f64 (neg.f64 n) (-.f64 f n))
▶48.6%
(/.f64 (neg.f64 f) (-.f64 f n))
▶53.6%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
52.7%
#s(literal 1 binary64)
▶47.5%
#s(literal -1 binary64)
Compiler

Compiled 128 to 80 computations (37.5% saved)

simplify50.0ms (0.6%)

Memory
-1.2MiB live, 39.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(-.f64 n f)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 n f))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)
✓cost-diff1088
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
✓cost-diff0
(+.f64 f f)
✓cost-diff0
(/.f64 (+.f64 f f) n)
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓cost-diff0
(-.f64 f n)
✓cost-diff0
(neg.f64 f)
✓cost-diff128
(/.f64 (neg.f64 f) (-.f64 f n))
✓cost-diff0
(-.f64 n f)
✓cost-diff0
(+.f64 f n)
✓cost-diff0
(/.f64 (+.f64 f n) (-.f64 n f))
Rules
720×lower-fma.f32
718×lower-fma.f64
384×lower-*.f32
382×lower-*.f64
254×times-frac
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01679
02972
15070
27869
315469
428069
557269
690469
7104569
8113969
9117669
10118269
0118268
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
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
#s(literal 1 binary64)
(/.f64 (+.f64 f f) n)
(+.f64 f f)
f
n
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
#s(literal 1 binary64)
(-.f64 n f)
n
f
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)
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
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(fma.f64 f (/.f64 #s(literal 2 binary64) n) #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 (+.f64 f f) n)
(+.f64 f f)
f
n
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
(/.f64 #s(literal -1 binary64) (-.f64 f n))
#s(literal 1 binary64)
(-.f64 n f)
n
f
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)
(/.f64 n (-.f64 n f))

localize79.0ms (0.9%)

Memory
-4.1MiB live, 111.1MiB allocated
Localize:

Found 13 expressions of interest:

NewMetricScoreProgram
✓accuracy53.7%
(-.f64 n f)
✓accuracy3.9%
(/.f64 #s(literal 1 binary64) (-.f64 n f))
✓accuracy3.8%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
✓accuracy3.5%
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)
✓accuracy53.4%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓accuracy48.4%
(/.f64 (+.f64 f f) n)
✓accuracy3.3%
(+.f64 f f)
✓accuracy4.4%
(/.f64 (neg.f64 f) (-.f64 f n))
✓accuracy4.2%
(neg.f64 f)
✓accuracy2.2%
(-.f64 f n)
✓accuracy53.7%
(-.f64 n f)
✓accuracy48.5%
(+.f64 f n)
✓accuracy3.3%
(/.f64 (+.f64 f n) (-.f64 n f))
Samples
45.0ms256×0valid
Compiler

Compiled 163 to 35 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 33.0ms
ival-sub: 17.0ms (50.9% of total)
ival-div: 7.0ms (20.9% of total)
ival-add: 5.0ms (15% of total)
ival-mult: 3.0ms (9% of total)
ival-neg: 1.0ms (3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series24.0ms (0.3%)

Memory
-1.6MiB live, 39.4MiB allocated
Counts
12 → 264
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 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))>
#<alt (/.f64 (+.f64 f f) n)>
#<alt (+.f64 f f)>
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 n f))>
Outputs
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (/ 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 (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* f (+ (/ 1 f) (* 2 (/ 1 n))))>
#<alt (* 2 (/ f n))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* f (+ (* 2 (/ 1 n)) (/ 1 f)))>
#<alt (* 2 (/ f n))>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt (/ (+ n (* 2 f)) n)>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 (/ f n))>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (* 2 f)>
#<alt (/ -1 f)>
#<alt (- (* -1 (* n (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))>
#<alt (- (* n (- (* -1 (* n (+ (/ 1 (pow f 2)) (/ 1 (pow f 3))))) (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))>
#<alt (- (* n (- (* n (- (* -1 (* n (+ (/ 1 (pow f 3)) (/ 1 (pow f 4))))) (+ (/ 1 (pow f 2)) (/ 1 (pow f 3))))) (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))>
#<alt 1>
#<alt (- (+ 1 (/ 1 n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1 f) (* -1 (pow f 2))) (pow n 2))) (/ 1 n))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1 (pow f 2)) (* -1 (pow f 3))) (pow n 3))) (/ 1 n))) (+ (* -1 (/ f n)) (+ (* -1 (/ f (pow n 2))) (* -1 (/ (pow f 2) (pow n 2))))))>
#<alt 1>
#<alt (+ 1 (+ (/ 1 n) (/ f n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- f (* -1 (pow f 2))) n)) (+ 1 f)) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ f (* -1 (/ (- (* -1 (pow f 2)) (pow f 3)) n))) (* -1 (pow f 2))) n)) (+ 1 f)) n)))>
#<alt (+ 1 (/ 1 n))>
#<alt (+ 1 (+ (* f (+ (/ 1 n) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt (+ 1 (+ (* f (+ (* f (+ (/ 1 (pow n 2)) (/ 1 (pow n 3)))) (+ (/ 1 n) (/ 1 (pow n 2))))) (/ 1 n)))>
#<alt (+ 1 (+ (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ 1 (pow n 4)))) (+ (/ 1 (pow n 2)) (/ 1 (pow n 3))))) (+ (/ 1 n) (/ 1 (pow n 2))))) (/ 1 n)))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))>
#<alt (- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (/ -1 f)>
#<alt (- (* -1 (/ n (pow f 2))) (/ 1 f))>
#<alt (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (/ 1 n)>
#<alt (/ (+ 1 (/ f n)) n)>
#<alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)>
#<alt (/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (- (* -1 (/ f n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))>
#<alt (/ 1 n)>
#<alt (+ (/ 1 n) (/ f (pow n 2)))>
#<alt (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))>
#<alt (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))>
#<alt (/ -1 f)>
#<alt (/ (- (* -1 (/ n f)) 1) f)>
#<alt (/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)>
#<alt (/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)>
#<alt (/ -1 f)>
#<alt (* -1 (/ (+ 1 (/ n f)) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))>
Calls

66 calls:

TimeVariablePointExpression
4.0ms
f
@-inf
(/ (+ f f) n)
2.0ms
n
@inf
(/ (+ f f) n)
1.0ms
n
@inf
(+ 1 (/ (+ f f) n))
1.0ms
f
@inf
(* (/ 1 (- n f)) n)
1.0ms
n
@inf
(/ (+ f n) (- n f))
Compiler

Compiled 587 to 380 computations (35.3% saved)

rewrite377.0ms (4.3%)

Memory
12.0MiB live, 603.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 108×lower-/.f32
5 100×lower-/.f64
4 436×lower-*.f32
4 434×lower-*.f64
4 386×lower-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01565
02858
113055
2110755
0837054
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 1 098
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)
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(/.f64 (+.f64 f f) n)
(+.f64 f f)
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n)
(/.f64 #s(literal 1 binary64) (-.f64 n f))
Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 n f) (+.f64 f n))) #s(literal -1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))) (/.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 f n) (-.f64 n f))))
(-.f64 (/.f64 #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))))
(-.f64 (/.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 n f))))
(fma.f64 f (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal 1 binary64) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n (/.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 #s(literal -1 binary64) (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 n f) 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 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 f) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (pow.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 (neg.f64 f) #s(literal 1 binary64)) (/.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 (neg.f64 f) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 f n) (*.f64 n n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (fma.f64 f (+.f64 f n) (*.f64 n n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 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 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (+.f64 f n) (-.f64 n f))) (+.f64 f n) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 (neg.f64 f) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 f n) (*.f64 f f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 (neg.f64 f) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 n f))) (+.f64 f n) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 f n))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 f (/.f64 #s(literal 1 binary64) (+.f64 f n))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 f #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1 binary64) (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (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 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.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)))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (/.f64 n (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 n (/.f64 #s(literal 1 binary64) (+.f64 f n))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 f n))) (/.f64 f (/.f64 #s(literal 1 binary64) (+.f64 f n))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 n (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 n (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 f (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 n (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 f (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 n (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 f (+.f64 f n) (*.f64 n n)) (-.f64 n f))) (/.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 f n) (*.f64 n n)))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 f n) (-.f64 n f))) (/.f64 (neg.f64 f) (/.f64 #s(literal 1 binary64) (+.f64 f n))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (fma.f64 f (*.f64 f f) (*.f64 n (*.f64 n n))))) (/.f64 (neg.f64 f) (fma.f64 f f (*.f64 n (-.f64 n f)))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 f n) (-.f64 n f)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 (neg.f64 f) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (*.f64 (+.f64 f n) (-.f64 f n)))) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 (neg.f64 f) (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (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 n (-.f64 n f)))
(fma.f64 (/.f64 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 f (-.f64 n f)))
(fma.f64 (/.f64 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 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 f n) (*.f64 f f)) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 f n) (*.f64 f f)))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (/.f64 (*.f64 (+.f64 f n) (-.f64 f n)) (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 f (-.f64 n f)))
(neg.f64 (/.f64 (+.f64 f n) (-.f64 f n)))
(neg.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 n f)))
(/.f64 (+.f64 f n) (-.f64 n f))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (+.f64 f n)))
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(*.f64 n (/.f64 #s(literal 1 binary64) (-.f64 n f)))
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(*.f64 (/.f64 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)))))
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(exp.f64 (*.f64 (log.f64 (-.f64 n f)) #s(literal -1 binary64)))
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simplify360.0ms (4.1%)

Memory
-9.8MiB live, 557.1MiB allocated
Algorithm
1×egg-herbie
Rules
9 380×lower-fma.f64
9 380×lower-fma.f32
3 952×lower-*.f64
3 952×lower-*.f32
2 838×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04442383
114132220
240802077
081681932
Stop Event
1×iter limit
1×node limit
Counts
264 → 252
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
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f
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f
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f
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(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
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(- (* -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
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(- (* 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)
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f
(* -1 (* f (- (/ n f) 1)))
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f
(+ f (* -1 n))
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(* -1 (* n (+ 1 (* -1 (/ f n)))))
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1
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(/ (+ n (* 2 f)) n)
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(/ -1 f)
(- (* -1 (* n (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))
(- (* n (- (* -1 (* n (+ (/ 1 (pow f 2)) (/ 1 (pow f 3))))) (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))
(- (* n (- (* n (- (* -1 (* n (+ (/ 1 (pow f 3)) (/ 1 (pow f 4))))) (+ (/ 1 (pow f 2)) (/ 1 (pow f 3))))) (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))
1
(- (+ 1 (/ 1 n)) (* -1 (/ f n)))
(- (+ 1 (+ (* -1 (/ (+ (* -1 f) (* -1 (pow f 2))) (pow n 2))) (/ 1 n))) (* -1 (/ f n)))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (pow f 2)) (* -1 (pow f 3))) (pow n 3))) (/ 1 n))) (+ (* -1 (/ f n)) (+ (* -1 (/ f (pow n 2))) (* -1 (/ (pow f 2) (pow n 2))))))
1
(+ 1 (+ (/ 1 n) (/ f n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- f (* -1 (pow f 2))) n)) (+ 1 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ f (* -1 (/ (- (* -1 (pow f 2)) (pow f 3)) n))) (* -1 (pow f 2))) n)) (+ 1 f)) n)))
(+ 1 (/ 1 n))
(+ 1 (+ (* f (+ (/ 1 n) (/ 1 (pow n 2)))) (/ 1 n)))
(+ 1 (+ (* f (+ (* f (+ (/ 1 (pow n 2)) (/ 1 (pow n 3)))) (+ (/ 1 n) (/ 1 (pow n 2))))) (/ 1 n)))
(+ 1 (+ (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ 1 (pow n 4)))) (+ (/ 1 (pow n 2)) (/ 1 (pow n 3))))) (+ (/ 1 n) (/ 1 (pow n 2))))) (/ 1 n)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(* -1 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
1
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/ -1 f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(/ 1 n)
(/ (+ 1 (/ f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/ 1 n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/ 1 n)
(+ (/ 1 n) (/ f (pow n 2)))
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(/ -1 f)
(/ (- (* -1 (/ n f)) 1) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/ -1 f)
(* -1 (/ (+ 1 (/ n f)) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
Outputs
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 f n) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 n (*.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f))) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(fma.f64 n (*.f64 n (/.f64 (-.f64 (neg.f64 n) n) (*.f64 f (*.f64 f f)))) (fma.f64 n (*.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f))) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (/ (* n (- 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
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 #s(literal -2 binary64) f) (fma.f64 n (/.f64 n f) n) #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 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64)) #s(literal 1 binary64))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
(fma.f64 f (fma.f64 f (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ 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)))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 2 binary64))) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f 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)))
(fma.f64 n (/.f64 f n) n)
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) 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 (/.f64 (*.f64 n f) n))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (/.f64 (*.f64 n f) n))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (/.f64 (*.f64 n f) n))
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (/.f64 (*.f64 n f) n))
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (/.f64 (*.f64 n f) n))
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (/.f64 (*.f64 n f) n))
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)))
(/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n)
(* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n)))
(*.f64 f (fma.f64 f (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64))
(- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2)))))
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) 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)
(fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f)) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) 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)
(fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64))
(- (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))) 1)
(fma.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal -1 binary64) f)) #s(literal -1 binary64))
(/ f n)
(/.f64 f n)
(/ (+ f (/ (pow f 2) n)) n)
(/.f64 (fma.f64 f (/.f64 f n) f) n)
(/ (+ f (+ (/ (pow f 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 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n)
(* -1 (/ (+ (* -1 f) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow f 4) n)) (* -1 (pow f 3))) n)) (pow f 2)) n))) n))
(/.f64 (+.f64 f (/.f64 (fma.f64 f f (/.f64 (fma.f64 f (*.f64 f f) (/.f64 (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))))
(fma.f64 f (/.f64 n (neg.f64 f)) f)
(* f (+ 1 (* -1 (/ n f))))
(fma.f64 f (/.f64 n (neg.f64 f)) f)
(* f (+ 1 (* -1 (/ n f))))
(fma.f64 f (/.f64 n (neg.f64 f)) f)
f
(* -1 (* f (- (/ n f) 1)))
(fma.f64 f (/.f64 n (neg.f64 f)) f)
(* -1 (* f (- (/ n f) 1)))
(fma.f64 f (/.f64 n (neg.f64 f)) f)
(* -1 (* f (- (/ n f) 1)))
(fma.f64 f (/.f64 n (neg.f64 f)) 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 (/.f64 (*.f64 n f) n) n)
(* n (- (/ f n) 1))
(-.f64 (/.f64 (*.f64 n f) n) n)
(* n (- (/ f n) 1))
(-.f64 (/.f64 (*.f64 n f) n) n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (/.f64 (*.f64 n f) n) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (/.f64 (*.f64 n f) n) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (/.f64 (*.f64 n f) n) n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* f (+ (/ 1 f) (* 2 (/ 1 n))))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* f (+ (* 2 (/ 1 n)) (/ 1 f)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(/ (+ n (* 2 f)) n)
(/.f64 (+.f64 n (+.f64 f f)) n)
(/ (+ n (* 2 f)) n)
(/.f64 (+.f64 n (+.f64 f f)) n)
(/ (+ n (* 2 f)) n)
(/.f64 (+.f64 n (+.f64 f f)) n)
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(+ 1 (* 2 (/ f n)))
(fma.f64 #s(literal 2 binary64) (/.f64 f n) #s(literal 1 binary64))
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 (/ f n))
(/.f64 (+.f64 f f) n)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(* 2 f)
(+.f64 f f)
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(- (* -1 (* n (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))
(fma.f64 (/.f64 n f) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) f)) (/.f64 #s(literal -1 binary64) f))
(- (* n (- (* -1 (* n (+ (/ 1 (pow f 2)) (/ 1 (pow f 3))))) (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))
(fma.f64 n (+.f64 (fma.f64 (/.f64 n (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) f)) (/.f64 #s(literal -1 binary64) f)) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal -1 binary64) f))
(- (* n (- (* n (- (* -1 (* n (+ (/ 1 (pow f 3)) (/ 1 (pow f 4))))) (+ (/ 1 (pow f 2)) (/ 1 (pow f 3))))) (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))
(fma.f64 n (+.f64 (fma.f64 n (-.f64 (/.f64 n (*.f64 f (*.f64 f (neg.f64 f)))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) (*.f64 (/.f64 n (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) f)))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 f f)) (/.f64 #s(literal -1 binary64) f))) (/.f64 #s(literal -1 binary64) f))
1
#s(literal 1 binary64)
(- (+ 1 (/ 1 n)) (* -1 (/ f n)))
(fma.f64 (+.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (+ (* -1 f) (* -1 (pow f 2))) (pow n 2))) (/ 1 n))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (fma.f64 f f f) (*.f64 n n)) (*.f64 (+.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n))))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (pow f 2)) (* -1 (pow f 3))) (pow n 3))) (/ 1 n))) (+ (* -1 (/ f n)) (+ (* -1 (/ f (pow n 2))) (* -1 (/ (pow f 2) (pow n 2))))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 f (fma.f64 f f f)) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 (fma.f64 f f f) (*.f64 n n)) (*.f64 (+.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n)))))
1
#s(literal 1 binary64)
(+ 1 (+ (/ 1 n) (/ f n)))
(fma.f64 (+.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- f (* -1 (pow f 2))) n)) (+ 1 f)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 f f f) n) (+.f64 #s(literal 1 binary64) f)) n))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ f (* -1 (/ (- (* -1 (pow f 2)) (pow f 3)) n))) (* -1 (pow f 2))) n)) (+ 1 f)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) f) (/.f64 (+.f64 (/.f64 (*.f64 f (fma.f64 f f f)) n) (fma.f64 f f f)) n)) n))
(+ 1 (/ 1 n))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(+ 1 (+ (* f (+ (/ 1 n) (/ 1 (pow n 2)))) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n) (/.f64 f (*.f64 n n))))
(+ 1 (+ (* f (+ (* f (+ (/ 1 (pow n 2)) (/ 1 (pow n 3)))) (+ (/ 1 n) (/ 1 (pow n 2))))) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (fma.f64 f (+.f64 (/.f64 f (*.f64 n n)) (/.f64 f (*.f64 n (*.f64 n n)))) (fma.f64 (+.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n) (/.f64 f (*.f64 n n)))))
(+ 1 (+ (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ 1 (pow n 4)))) (+ (/ 1 (pow n 2)) (/ 1 (pow n 3))))) (+ (/ 1 n) (/ 1 (pow n 2))))) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (fma.f64 f (fma.f64 f (+.f64 (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 f (*.f64 n n)) (/.f64 f (*.f64 n (*.f64 n n))))) (fma.f64 (+.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n) (/.f64 f (*.f64 n n)))))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))
(fma.f64 n (*.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f))) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64)))
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))
(fma.f64 n (*.f64 n (/.f64 (-.f64 (neg.f64 n) n) (*.f64 f (*.f64 f f)))) (fma.f64 n (*.f64 #s(literal -2 binary64) (/.f64 n (*.f64 f f))) (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 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 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 n n) (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f)) f))
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal -1 binary64) f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (fma.f64 n (fma.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 f f))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal -1 binary64) f)))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n))
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f))
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) (neg.f64 f))
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(/.f64 (-.f64 (/.f64 (pow.f64 n #s(literal 4 binary64)) (*.f64 f (*.f64 f (neg.f64 f)))) (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n)) f)
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(*.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) (neg.f64 f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (+.f64 n (/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)) (neg.f64 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))
(fma.f64 n (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 n f)) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal -1 binary64) f))
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(fma.f64 n (fma.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 f f))) (/.f64 n (pow.f64 f #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal -1 binary64) f))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (+ 1 (/ f n)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n)) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(/.f64 (fma.f64 (/.f64 f n) (+.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal 1 binary64)) n)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 f n) (fma.f64 f (/.f64 f n) f) f) n)) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(+ (/ 1 n) (/ f (pow n 2)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) (*.f64 f (/.f64 f (*.f64 n (*.f64 n n)))))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(fma.f64 f (fma.f64 f (/.f64 f (pow.f64 n #s(literal 4 binary64))) (/.f64 f (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(/ (- (* -1 (/ n f)) 1) f)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/.f64 (-.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 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f)) f)

eval1.4s (15.5%)

Memory
11.3MiB live, 324.7MiB allocated
Compiler

Compiled 33 078 to 2 648 computations (92% saved)

prune820.0ms (9.3%)

Memory
-11.7MiB live, 306.6MiB allocated
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1 58051 585
Fresh123
Picked235
Done000
Total1 583101 593
Accuracy
100.0%
Counts
1 593 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
48.7%
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
▶99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
89.3%
(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
✓99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
▶48.3%
(/.f64 (+.f64 f n) (neg.f64 f))
▶53.7%
(/.f64 (neg.f64 n) (-.f64 f n))
▶48.3%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓53.6%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
▶52.7%
#s(literal 1 binary64)
✓47.5%
#s(literal -1 binary64)
Compiler

Compiled 141 to 88 computations (37.6% saved)

simplify35.0ms (0.4%)

Memory
29.3MiB live, 29.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(neg.f64 f)
✓cost-diff0
(+.f64 f n)
✓cost-diff128
(/.f64 (+.f64 f n) (neg.f64 f))
✓cost-diff0
(-.f64 f n)
✓cost-diff0
(neg.f64 n)
✓cost-diff128
(/.f64 (neg.f64 n) (-.f64 f n))
✓cost-diff0
(/.f64 n f)
✓cost-diff0
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓cost-diff0
(/.f64 n (-.f64 n f))
✓cost-diff0
(-.f64 n f)
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 n f))
✓cost-diff1088
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
Rules
416×lower-fma.f32
414×lower-fma.f64
256×lower-*.f64
256×lower-*.f32
204×times-frac
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
01666
02964
14863
27963
315063
424361
550259
685959
792159
894859
995159
1095559
095559
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
#s(literal 1 binary64)
(-.f64 n f)
n
f
(/.f64 n (-.f64 n f))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
#s(literal -1 binary64)
(/.f64 n f)
n
f
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 f n) (neg.f64 f))
(+.f64 f n)
f
n
(neg.f64 f)
Outputs
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(/.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 n (-.f64 n f))
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
#s(literal -1 binary64)
(/.f64 n f)
n
f
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 n (-.f64 n f))
(neg.f64 n)
n
(-.f64 f n)
f
(/.f64 (+.f64 f n) (neg.f64 f))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(+.f64 f n)
(+.f64 n f)
f
n
(neg.f64 f)

localize279.0ms (3.2%)

Memory
1.5MiB live, 75.4MiB allocated
Localize:

Found 12 expressions of interest:

NewMetricScoreProgram
✓accuracy3.3%
(neg.f64 f)
✓accuracy3.3%
(/.f64 (+.f64 f n) (neg.f64 f))
✓accuracy3.1%
(+.f64 f n)
✓accuracy4.0%
(neg.f64 n)
✓accuracy3.5%
(/.f64 (neg.f64 n) (-.f64 f n))
✓accuracy2.2%
(-.f64 f n)
✓accuracy48.3%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓accuracy2.1%
(/.f64 n f)
✓accuracy100.0%
(-.f64 n f)
✓accuracy53.7%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
✓accuracy3.9%
(/.f64 #s(literal 1 binary64) (-.f64 n f))
✓accuracy3.5%
(/.f64 n (-.f64 n f))
Samples
260.0ms256×0valid
Compiler

Compiled 137 to 35 computations (74.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 244.0ms
ival-div: 234.0ms (95.8% of total)
ival-sub: 4.0ms (1.6% of total)
ival-add: 2.0ms (0.8% of total)
ival-mult: 2.0ms (0.8% of total)
ival-neg: 2.0ms (0.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series202.0ms (2.3%)

Memory
-15.4MiB live, 29.0MiB allocated
Counts
12 → 264
Calls
Call 1
Inputs
#<alt (fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))>
#<alt (/.f64 #s(literal 1 binary64) (-.f64 n f))>
#<alt (-.f64 n f)>
#<alt (/.f64 n (-.f64 n f))>
#<alt (-.f64 #s(literal -1 binary64) (/.f64 n f))>
#<alt (/.f64 n f)>
#<alt (/.f64 (neg.f64 n) (-.f64 f n))>
#<alt (neg.f64 n)>
#<alt (-.f64 f n)>
#<alt (/.f64 (+.f64 f n) (neg.f64 f))>
#<alt (+.f64 f n)>
#<alt (neg.f64 f)>
Outputs
#<alt (/ -1 f)>
#<alt (- (* -1 (* n (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))>
#<alt (- (* n (- (* -1 (* n (+ (/ 1 (pow f 2)) (/ 1 (pow f 3))))) (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))>
#<alt (- (* n (- (* n (- (* -1 (* n (+ (/ 1 (pow f 3)) (/ 1 (pow f 4))))) (+ (/ 1 (pow f 2)) (/ 1 (pow f 3))))) (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))>
#<alt 1>
#<alt (- (+ 1 (/ 1 n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1 f) (* -1 (pow f 2))) (pow n 2))) (/ 1 n))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (* -1 (/ (+ (* -1 (pow f 2)) (* -1 (pow f 3))) (pow n 3))) (/ 1 n))) (+ (* -1 (/ f n)) (+ (* -1 (/ f (pow n 2))) (* -1 (/ (pow f 2) (pow n 2))))))>
#<alt 1>
#<alt (+ 1 (+ (/ 1 n) (/ f n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- f (* -1 (pow f 2))) n)) (+ 1 f)) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (+ f (* -1 (/ (- (* -1 (pow f 2)) (pow f 3)) n))) (* -1 (pow f 2))) n)) (+ 1 f)) n)))>
#<alt (+ 1 (/ 1 n))>
#<alt (+ 1 (+ (* f (+ (/ 1 n) (/ 1 (pow n 2)))) (/ 1 n)))>
#<alt (+ 1 (+ (* f (+ (* f (+ (/ 1 (pow n 2)) (/ 1 (pow n 3)))) (+ (/ 1 n) (/ 1 (pow n 2))))) (/ 1 n)))>
#<alt (+ 1 (+ (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ 1 (pow n 4)))) (+ (/ 1 (pow n 2)) (/ 1 (pow n 3))))) (+ (/ 1 n) (/ 1 (pow n 2))))) (/ 1 n)))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))>
#<alt (- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)>
#<alt (/ -1 f)>
#<alt (- (* -1 (/ n (pow f 2))) (/ 1 f))>
#<alt (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))>
#<alt (/ 1 n)>
#<alt (/ (+ 1 (/ f n)) n)>
#<alt (/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)>
#<alt (/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)>
#<alt (/ 1 n)>
#<alt (* -1 (/ (- (* -1 (/ f n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))>
#<alt (/ 1 n)>
#<alt (+ (/ 1 n) (/ f (pow n 2)))>
#<alt (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))>
#<alt (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))>
#<alt (/ -1 f)>
#<alt (/ (- (* -1 (/ n f)) 1) f)>
#<alt (/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)>
#<alt (/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)>
#<alt (/ -1 f)>
#<alt (* -1 (/ (+ 1 (/ n f)) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))>
#<alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt (/ (- (* -1 f) n) f)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)>
#<alt (/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (+ (* -1 (/ (pow n 3) (pow f 2))) (* -1 (/ (pow n 4) (pow f 3)))))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (* -1 n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt (- f n)>
#<alt f>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt (* f (+ 1 (* -1 (/ n f))))>
#<alt f>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt (* -1 (* f (- (/ n f) 1)))>
#<alt f>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (+ f (* -1 n))>
#<alt (* -1 n)>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* n (- (/ f n) 1))>
#<alt (* -1 n)>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (* n (+ 1 (* -1 (/ f n)))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 f) (* -1 n)) f)>
#<alt (/ (+ (* -1 f) (* -1 n)) f)>
#<alt (/ (+ (* -1 f) (* -1 n)) f)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (- (* -1 (/ n f)) 1)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt (* -1 (* n (+ (/ 1 f) (/ 1 n))))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 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)>
Calls

66 calls:

TimeVariablePointExpression
188.0ms
n
@inf
(/ (neg n) (- f n))
2.0ms
f
@0
(/ (+ f n) (neg f))
0.0ms
f
@inf
(/ (+ f n) (neg f))
0.0ms
n
@-inf
(/ n f)
0.0ms
n
@inf
(/ (+ f n) (neg f))
Compiler

Compiled 557 to 363 computations (34.8% saved)

rewrite275.0ms (3.1%)

Memory
20.1MiB live, 537.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 994×lower-fma.f32
4 992×lower-fma.f64
4 778×lower-/.f32
4 768×lower-/.f64
3 946×lower-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01655
02954
112751
2105651
0861251
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
12 → 666
Calls
Call 1
Inputs
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(/.f64 #s(literal 1 binary64) (-.f64 n f))
(-.f64 n f)
(/.f64 n (-.f64 n f))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 n f)
(/.f64 (neg.f64 n) (-.f64 f n))
(neg.f64 n)
(-.f64 f n)
(/.f64 (+.f64 f n) (neg.f64 f))
(+.f64 f n)
(neg.f64 f)
Outputs
(+.f64 (/.f64 n (-.f64 n f)) (/.f64 f (-.f64 n f)))
(+.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 n f)))
(+.f64 (*.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 f n))) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 f n)))))
(-.f64 (/.f64 f (-.f64 n f)) (/.f64 n (-.f64 f n)))
(-.f64 (*.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 f n))) (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 f n))))
(-.f64 (/.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 n f))))
(fma.f64 #s(literal 1 binary64) (/.f64 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 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 n (-.f64 f n)) (/.f64 f (-.f64 n f)))
(fma.f64 #s(literal -1 binary64) (/.f64 f (-.f64 f n)) (/.f64 n (-.f64 n f)))
(fma.f64 (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 f (-.f64 n f)) #s(literal 1 binary64) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 (*.f64 f f) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 f n)))))
(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)) (neg.f64 f) (/.f64 n (-.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 f (-.f64 n f)) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 f (-.f64 n f))) (-.f64 f n)) (neg.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (-.f64 n f))) (/.f64 (-.f64 n f) (-.f64 f n)))))
(fma.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 (neg.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 #s(literal 1 binary64) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (/.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 n f))) (/.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 (+.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 f (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (fma.f64 n n (*.f64 f (+.f64 n f))) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 f (*.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 n (-.f64 n f)))
(fma.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f) (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 (neg.f64 n) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 n f) (*.f64 f f)) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 (neg.f64 n) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))) (/.f64 f (-.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 n f))) (+.f64 n f) (/.f64 f (-.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 f (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 (neg.f64 n) f) (/.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 #s(literal -1 binary64) (*.f64 (+.f64 n f) (-.f64 f n))) (*.f64 f (+.f64 n f)) (/.f64 n (-.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 n f)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (/.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 (+.f64 n f) (-.f64 n f)) (*.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 n f) (-.f64 f n)) (*.f64 (neg.f64 f) (-.f64 f n)))
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(/.f64 (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (neg.f64 (*.f64 (neg.f64 f) (fma.f64 n (-.f64 n f) (*.f64 f f)))))
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(/.f64 (*.f64 (+.f64 n f) #s(literal -1 binary64)) f)
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(*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 f n) (neg.f64 f))))
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(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) f))
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(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) f) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) #s(literal -1 binary64)))
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(*.f64 (/.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)) (neg.f64 f)) (/.f64 (+.f64 n f) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (/.f64 (/.f64 #s(literal -1 binary64) f) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(+.f64 n f)
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(+.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n)))))
(-.f64 n (neg.f64 f))
(-.f64 f (neg.f64 n))
(-.f64 #s(literal 0 binary64) (-.f64 (neg.f64 n) f))
(-.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (*.f64 n (/.f64 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) n f)
(fma.f64 #s(literal 1 binary64) f n)
(fma.f64 n #s(literal 1 binary64) f)
(fma.f64 f #s(literal 1 binary64) n)
(fma.f64 f (/.f64 f (-.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 n) f)
(fma.f64 #s(literal -1 binary64) (neg.f64 f) n)
(fma.f64 (neg.f64 n) #s(literal -1 binary64) f)
(fma.f64 (neg.f64 f) (/.f64 f (-.f64 n f)) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n)))))
(fma.f64 (*.f64 f f) (/.f64 #s(literal 1 binary64) (-.f64 f n)) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n)))))
(fma.f64 (/.f64 f (*.f64 (+.f64 n f) (-.f64 f n))) (*.f64 f (+.f64 n f)) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n)))))
(fma.f64 (/.f64 f (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 f (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n)))))
(fma.f64 (/.f64 f (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (/.f64 f (fma.f64 n (-.f64 n f) (*.f64 f f))) (neg.f64 (*.f64 n (/.f64 n (-.f64 f n)))))
(neg.f64 (-.f64 (neg.f64 n) f))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 n f))) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 n f) (*.f64 (+.f64 n f) (-.f64 n f))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(/.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (fma.f64 n (-.f64 n f) (*.f64 f f)))
(/.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 n f))))
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 f n))
(/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (-.f64 n f))
(/.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 n f))
(/.f64 (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f))))
(/.f64 (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (neg.f64 (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 n f)))))
(/.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 n f))) (-.f64 f n))
(/.f64 (-.f64 (*.f64 (*.f64 f f) (-.f64 f n)) (*.f64 (-.f64 f n) (*.f64 n n))) (*.f64 (-.f64 n f) (-.f64 n f)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 f n)))) (-.f64 f n))
(/.f64 (neg.f64 (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (neg.f64 (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)))))
(/.f64 (-.f64 (*.f64 f (*.f64 f f)) (neg.f64 (*.f64 n (*.f64 n n)))) (fma.f64 f f (fma.f64 n n (*.f64 f (neg.f64 n)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 f f) (-.f64 f n)) #s(literal 3 binary64)) (pow.f64 (*.f64 n (/.f64 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 n (/.f64 n (-.f64 f n))) (*.f64 n (/.f64 n (-.f64 f n))) (*.f64 (/.f64 (*.f64 f f) (-.f64 f n)) (*.f64 n (/.f64 n (-.f64 f n)))))))
(/.f64 (-.f64 (*.f64 n (*.f64 n n)) (neg.f64 (*.f64 f (*.f64 f f)))) (fma.f64 n n (fma.f64 f f (*.f64 n (neg.f64 f)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 n f)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 n f))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) (/.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 n) f))
(*.f64 (+.f64 n f) #s(literal 1 binary64))
(*.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (/.f64 #s(literal 1 binary64) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(*.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))) (/.f64 #s(literal 1 binary64) (fma.f64 n n (-.f64 (*.f64 f f) (*.f64 n f)))))
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 f n)) (/.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (+.f64 n f))))
(*.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (/.f64 #s(literal 1 binary64) (-.f64 f n)))
(*.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (neg.f64 (*.f64 (+.f64 n f) (-.f64 f n))) (/.f64 #s(literal 1 binary64) (-.f64 n f)))
(*.f64 (neg.f64 (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 n (-.f64 n f) (*.f64 f f)))))
(*.f64 (*.f64 (+.f64 n f) #s(literal -1 binary64)) (/.f64 (-.f64 n f) (-.f64 f n)))
(*.f64 (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(*.f64 (/.f64 (+.f64 n f) #s(literal 1 binary64)) (/.f64 (-.f64 n f) (-.f64 n f)))
(*.f64 (/.f64 (+.f64 n f) (-.f64 n f)) (-.f64 n f))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n n (*.f64 f (+.f64 n f))) (-.f64 n f))) (/.f64 (-.f64 n f) (/.f64 #s(literal 1 binary64) (fma.f64 n n (*.f64 f (+.f64 n f))))))
(*.f64 (/.f64 (+.f64 n f) (/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (/.f64 (-.f64 n f) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(*.f64 (/.f64 (+.f64 n f) (/.f64 (*.f64 (+.f64 n f) (-.f64 n f)) (*.f64 (+.f64 n f) (-.f64 f n)))) (/.f64 (-.f64 n f) (-.f64 f n)))
(*.f64 (/.f64 (+.f64 n f) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (/.f64 (-.f64 f n) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(*.f64 (/.f64 (+.f64 n f) (/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f))))) (/.f64 (-.f64 f n) (fma.f64 n (-.f64 n f) (*.f64 f f))))
(+.f64 #s(literal 0 binary64) (neg.f64 f))
(-.f64 #s(literal 0 binary64) f)
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 f f) f))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 f f #s(literal 0 binary64))) (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 f f #s(literal 0 binary64))))
(neg.f64 f)
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(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 f f #s(literal 0 binary64)) (neg.f64 (*.f64 f (*.f64 f f)))))
(/.f64 #s(literal 1 binary64) (/.f64 f (neg.f64 (*.f64 f f))))
(/.f64 f #s(literal -1 binary64))
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(/.f64 (*.f64 f (*.f64 f f)) (neg.f64 (fma.f64 f f #s(literal 0 binary64))))
(/.f64 (neg.f64 (*.f64 f (*.f64 f f))) (fma.f64 f f #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 f (*.f64 f f))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 f f) (*.f64 #s(literal 0 binary64) (neg.f64 f)))))
(/.f64 (neg.f64 (*.f64 f f)) f)
(/.f64 (neg.f64 (neg.f64 (*.f64 f f))) (neg.f64 f))
(*.f64 f #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) f)
(*.f64 (neg.f64 f) #s(literal 1 binary64))
(*.f64 (neg.f64 (*.f64 f (*.f64 f f))) (/.f64 #s(literal 1 binary64) (fma.f64 f f #s(literal 0 binary64))))
(*.f64 (neg.f64 (*.f64 f f)) (/.f64 #s(literal 1 binary64) f))

simplify343.0ms (3.9%)

Memory
-7.4MiB live, 580.3MiB allocated
Algorithm
1×egg-herbie
Rules
10 854×lower-fma.f64
10 854×lower-fma.f32
3 882×lower-+.f64
3 882×lower-+.f32
3 004×lower--.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03202113
110171965
229481799
088341730
Stop Event
1×iter limit
1×node limit
Counts
264 → 252
Calls
Call 1
Inputs
(/ -1 f)
(- (* -1 (* n (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))
(- (* n (- (* -1 (* n (+ (/ 1 (pow f 2)) (/ 1 (pow f 3))))) (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))
(- (* n (- (* n (- (* -1 (* n (+ (/ 1 (pow f 3)) (/ 1 (pow f 4))))) (+ (/ 1 (pow f 2)) (/ 1 (pow f 3))))) (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))
1
(- (+ 1 (/ 1 n)) (* -1 (/ f n)))
(- (+ 1 (+ (* -1 (/ (+ (* -1 f) (* -1 (pow f 2))) (pow n 2))) (/ 1 n))) (* -1 (/ f n)))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (pow f 2)) (* -1 (pow f 3))) (pow n 3))) (/ 1 n))) (+ (* -1 (/ f n)) (+ (* -1 (/ f (pow n 2))) (* -1 (/ (pow f 2) (pow n 2))))))
1
(+ 1 (+ (/ 1 n) (/ f n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- f (* -1 (pow f 2))) n)) (+ 1 f)) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ f (* -1 (/ (- (* -1 (pow f 2)) (pow f 3)) n))) (* -1 (pow f 2))) n)) (+ 1 f)) n)))
(+ 1 (/ 1 n))
(+ 1 (+ (* f (+ (/ 1 n) (/ 1 (pow n 2)))) (/ 1 n)))
(+ 1 (+ (* f (+ (* f (+ (/ 1 (pow n 2)) (/ 1 (pow n 3)))) (+ (/ 1 n) (/ 1 (pow n 2))))) (/ 1 n)))
(+ 1 (+ (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ 1 (pow n 4)))) (+ (/ 1 (pow n 2)) (/ 1 (pow n 3))))) (+ (/ 1 n) (/ 1 (pow n 2))))) (/ 1 n)))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))
-1
(- (* -2 (/ n f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(/ -1 f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(/ 1 n)
(/ (+ 1 (/ f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/ 1 n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/ 1 n)
(+ (/ 1 n) (/ f (pow n 2)))
(+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))
(+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ f (pow n 4)))) (/ 1 (pow n 2)))) (/ 1 n))
(/ -1 f)
(/ (- (* -1 (/ n f)) 1) f)
(/ (- (* -1 (/ (pow n 2) (pow f 2))) (+ 1 (/ n f))) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/ -1 f)
(* -1 (/ (+ 1 (/ n f)) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
1
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
-1
(- (* -1 (/ 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)))))
(* -1 (/ n f))
(/ (+ (* -1 f) (* -1 n)) f)
(/ (+ (* -1 f) (* -1 n)) f)
(/ (+ (* -1 f) (* -1 n)) f)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
-1
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(- (* -1 (/ n f)) 1)
(* -1 (/ n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (/ n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
(* -1 f)
Outputs
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(- (* -1 (* n (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))
(+.f64 (neg.f64 (/.f64 n f)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f))
(- (* n (- (* -1 (* n (+ (/ 1 (pow f 2)) (/ 1 (pow f 3))))) (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))
(fma.f64 n (*.f64 (/.f64 n (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) f))) (+.f64 (neg.f64 (/.f64 n f)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)))
(- (* n (- (* n (- (* -1 (* n (+ (/ 1 (pow f 3)) (/ 1 (pow f 4))))) (+ (/ 1 (pow f 2)) (/ 1 (pow f 3))))) (+ (/ 1 f) (/ 1 (pow f 2))))) (/ 1 f))
(fma.f64 n (fma.f64 n (-.f64 (/.f64 (neg.f64 n) (pow.f64 f #s(literal 4 binary64))) (/.f64 n (*.f64 f (*.f64 f f)))) (*.f64 (/.f64 n (*.f64 f f)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) f)))) (+.f64 (neg.f64 (/.f64 n f)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)))
1
#s(literal 1 binary64)
(- (+ 1 (/ 1 n)) (* -1 (/ f n)))
(fma.f64 (+.f64 f #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(- (+ 1 (+ (* -1 (/ (+ (* -1 f) (* -1 (pow f 2))) (pow n 2))) (/ 1 n))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 f f f) n) (+.f64 f #s(literal 1 binary64))) n))
(- (+ 1 (+ (* -1 (/ (+ (* -1 (pow f 2)) (* -1 (pow f 3))) (pow n 3))) (/ 1 n))) (+ (* -1 (/ f n)) (+ (* -1 (/ f (pow n 2))) (* -1 (/ (pow f 2) (pow n 2))))))
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 f (fma.f64 f f f)) (*.f64 n (*.f64 n n)))) (/.f64 (+.f64 (/.f64 (fma.f64 f f f) n) (+.f64 f #s(literal 1 binary64))) n))
1
#s(literal 1 binary64)
(+ 1 (+ (/ 1 n) (/ f n)))
(fma.f64 (+.f64 f #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- f (* -1 (pow f 2))) n)) (+ 1 f)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 f f f) n) (+.f64 f #s(literal 1 binary64))) n))
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ f (* -1 (/ (- (* -1 (pow f 2)) (pow f 3)) n))) (* -1 (pow f 2))) n)) (+ 1 f)) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 f #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 f (fma.f64 f f f)) n) (fma.f64 f f f)) n)) n))
(+ 1 (/ 1 n))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))
(+ 1 (+ (* f (+ (/ 1 n) (/ 1 (pow n 2)))) (/ 1 n)))
(+.f64 (fma.f64 (+.f64 f #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) (/.f64 f (*.f64 n n)))
(+ 1 (+ (* f (+ (* f (+ (/ 1 (pow n 2)) (/ 1 (pow n 3)))) (+ (/ 1 n) (/ 1 (pow n 2))))) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (+.f64 (/.f64 f n) (/.f64 (fma.f64 f f f) (*.f64 n n))) (/.f64 (*.f64 f f) (*.f64 n (*.f64 n n))))))
(+ 1 (+ (* f (+ (* f (+ (* f (+ (/ 1 (pow n 3)) (/ 1 (pow n 4)))) (+ (/ 1 (pow n 2)) (/ 1 (pow n 3))))) (+ (/ 1 n) (/ 1 (pow n 2))))) (/ 1 n)))
(+.f64 #s(literal 1 binary64) (fma.f64 f (fma.f64 f (+.f64 (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 f (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 f (*.f64 n (*.f64 n n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n f))
(- (+ (* -2 (/ (pow n 2) (pow f 2))) (* -1 (/ n f))) (+ 1 (/ n f)))
(-.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
(- (+ (* -2 (/ (pow n 3) (pow f 3))) (* -1 (/ n f))) (+ 1 (+ (* 2 (/ (pow n 2) (pow f 2))) (/ n f))))
(-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (-.f64 #s(literal -1 binary64) (/.f64 n f))) (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 n f)))
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(- (* -1 (/ (+ (* -1 (/ (- (* -1 (pow n 2)) (pow n 2)) f)) (* 2 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n #s(literal 2 binary64) (/.f64 (*.f64 n (+.f64 n n)) f)) f))
(- (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (pow n 3) (* -1 (pow n 3))) f)) (* -1 (pow n 2))) (pow n 2)) f)) (* 2 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 n #s(literal 2 binary64) (/.f64 (fma.f64 n (+.f64 n n) (/.f64 (*.f64 n (*.f64 n (+.f64 n n))) f)) f)) f))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(- (* -1 (/ n (pow f 2))) (/ 1 f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f))
(/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f)
(- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f))
(fma.f64 n (*.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 f f))) (/.f64 n (pow.f64 f #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f))
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(/ (+ 1 (/ f n)) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(/ (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n))) n)
(/.f64 (fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) n)
(/ (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2))))) n)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n)) n)
(/ 1 n)
(/.f64 #s(literal 1 binary64) n)
(* -1 (/ (- (* -1 (/ f n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n)
(* -1 (/ (- (* -1 (/ (- (/ (pow f 2) n) (* -1 f)) n)) 1) n))
(/.f64 (fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64)) n)
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow f 3) n)) (pow f 2)) n)) (* -1 f)) n)) 1) n))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.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 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f)
(/ (- (* -1 (/ (pow n 3) (pow f 3))) (+ 1 (+ (/ n f) (/ (pow n 2) (pow f 2))))) f)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f)) (neg.f64 f))
(/ -1 f)
(/.f64 #s(literal -1 binary64) f)
(* -1 (/ (+ 1 (/ n f)) f))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (pow n 2) f)) n) f))) f))
(/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow n 3) f) (* -1 (pow n 2))) f)) n) f))) f))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f)) (neg.f64 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 (/.f64 (*.f64 f n) n))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (/.f64 (*.f64 f n) n))
(* n (+ 1 (* -1 (/ f n))))
(-.f64 n (/.f64 (*.f64 f n) n))
n
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (/.f64 (*.f64 f n) n))
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (/.f64 (*.f64 f n) n))
(* -1 (* n (- (/ f n) 1)))
(-.f64 n (/.f64 (*.f64 f n) n))
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))
(fma.f64 f (/.f64 n f) (neg.f64 f))
(* f (- (/ n f) 1))
(fma.f64 f (/.f64 n f) (neg.f64 f))
(* f (- (/ n f) 1))
(fma.f64 f (/.f64 n f) (neg.f64 f))
(* -1 f)
(neg.f64 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(fma.f64 f (/.f64 n f) (neg.f64 f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(fma.f64 f (/.f64 n f) (neg.f64 f))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(fma.f64 f (/.f64 n f) (neg.f64 f))
(* -1 (/ n f))
(neg.f64 (/.f64 n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (fma.f64 n (*.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 f f))) (/.f64 n (pow.f64 f #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n))
(* -1 (/ n f))
(neg.f64 (/.f64 n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(neg.f64 (/.f64 (fma.f64 (/.f64 n f) (fma.f64 n (/.f64 n f) n) n) f))
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)) n) f)
(* -1 (/ n f))
(neg.f64 (/.f64 n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(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 (neg.f64 (/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)) n) f)
-1
#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))
(neg.f64 (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(neg.f64 (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(neg.f64 (/.f64 n f))
(/ (- (* -1 f) n) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ (- (* -1 f) n) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ (- (* -1 f) n) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(/ n f)
(/.f64 n f)
(* -1 (/ n f))
(neg.f64 (/.f64 n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (/.f64 (fma.f64 n (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f) #s(literal -1 binary64)) f))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (fma.f64 n (*.f64 n (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 f (*.f64 f f))) (/.f64 n (pow.f64 f #s(literal 4 binary64))))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 n f)) f)))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(fma.f64 f (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 f n)) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f (/.f64 (*.f64 f (fma.f64 f (/.f64 f n) f)) n)) n))
(* -1 (/ n f))
(neg.f64 (/.f64 n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(/ (+ (* -1 n) (+ (* -1 (/ (pow n 2) f)) (* -1 (/ (pow n 3) (pow f 2))))) f)
(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 (neg.f64 (/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)) n) f)
(* -1 (/ n f))
(neg.f64 (/.f64 n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(/.f64 (*.f64 n (-.f64 #s(literal -1 binary64) (/.f64 n f))) f)
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(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 (neg.f64 (/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)) n) f)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(* -1 n)
(neg.f64 n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
(- f n)
(-.f64 f n)
f
(* f (+ 1 (* -1 (/ n f))))
(fma.f64 (neg.f64 f) (/.f64 n f) f)
(* f (+ 1 (* -1 (/ n f))))
(fma.f64 (neg.f64 f) (/.f64 n f) f)
(* f (+ 1 (* -1 (/ n f))))
(fma.f64 (neg.f64 f) (/.f64 n f) f)
f
(* -1 (* f (- (/ n f) 1)))
(fma.f64 (neg.f64 f) (/.f64 n f) f)
(* -1 (* f (- (/ n f) 1)))
(fma.f64 (neg.f64 f) (/.f64 n f) f)
(* -1 (* f (- (/ n f) 1)))
(fma.f64 (neg.f64 f) (/.f64 n f) 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 (/.f64 (*.f64 f n) n) n)
(* n (- (/ f n) 1))
(-.f64 (/.f64 (*.f64 f n) n) n)
(* n (- (/ f n) 1))
(-.f64 (/.f64 (*.f64 f n) n) n)
(* -1 n)
(neg.f64 n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (/.f64 (*.f64 f n) n) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (/.f64 (*.f64 f n) n) n)
(* -1 (* n (+ 1 (* -1 (/ f n)))))
(-.f64 (/.f64 (*.f64 f n) n) n)
(* -1 (/ n f))
(neg.f64 (/.f64 n f))
(/ (+ (* -1 f) (* -1 n)) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ (+ (* -1 f) (* -1 n)) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/ (+ (* -1 f) (* -1 n)) f)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(- (* -1 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(neg.f64 (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (/ n f))
(neg.f64 (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(* -1 (* n (+ (/ 1 f) (/ 1 n))))
(-.f64 #s(literal -1 binary64) (/.f64 n f))
n
(+ f n)
(+.f64 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)))
(fma.f64 n (/.f64 f n) n)
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
(* n (+ 1 (/ f n)))
(fma.f64 n (/.f64 f n) n)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f n) n)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(fma.f64 n (/.f64 f 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)

eval341.0ms (3.9%)

Memory
-1.2MiB live, 209.9MiB allocated
Compiler

Compiled 19 860 to 2 016 computations (89.8% saved)

prune114.0ms (1.3%)

Memory
-10.4MiB live, 223.2MiB allocated
Pruning

10 alts after pruning (3 fresh and 7 done)

PrunedKeptTotal
New1 02811 029
Fresh022
Picked145
Done033
Total1 029101 039
Accuracy
100.0%
Counts
1 039 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶48.7%
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
✓99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
▶89.3%
(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
✓99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
✓48.3%
(/.f64 (+.f64 f n) (neg.f64 f))
▶53.7%
(/.f64 n (-.f64 n f))
✓48.3%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓53.6%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓52.7%
#s(literal 1 binary64)
✓47.5%
#s(literal -1 binary64)
Compiler

Compiled 80 to 50 computations (37.5% saved)

simplify163.0ms (1.8%)

Memory
10.0MiB live, 206.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(/.f64 n f)
✓cost-diff0
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
✓cost-diff0
(-.f64 n f)
✓cost-diff0
(/.f64 f n)
✓cost-diff0
(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
✓cost-diff896
(fma.f64 n (/.f64 f n) n)
✓cost-diff0
(-.f64 n f)
✓cost-diff0
(/.f64 n (-.f64 n f))
Rules
3 282×lower-fma.f32
3 278×lower-fma.f64
2 572×lower-*.f64
2 572×lower-*.f32
1 754×lower-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01147
02047
13047
24347
35645
47641
514541
638941
7166241
8470041
9721441
10793541
0800541
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f
(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
(fma.f64 n (/.f64 f n) n)
n
(/.f64 f n)
f
(-.f64 n f)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(/.f64 n f)
n
f
#s(literal -2 binary64)
#s(literal -1 binary64)
Outputs
(/.f64 n (-.f64 n f))
n
(-.f64 n f)
f
(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
(/.f64 (+.f64 n f) (-.f64 n f))
(fma.f64 n (/.f64 f n) n)
(+.f64 n f)
n
(/.f64 f n)
f
(-.f64 n f)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(/.f64 n f)
n
f
#s(literal -2 binary64)
#s(literal -1 binary64)

localize66.0ms (0.7%)

Memory
7.1MiB live, 45.3MiB allocated
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
✓accuracy3.4%
(/.f64 n f)
✓accuracy100.0%
(-.f64 n f)
✓accuracy89.6%
(fma.f64 n (/.f64 f n) n)
✓accuracy3.4%
(/.f64 f n)
✓accuracy3.3%
(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
✓accuracy100.0%
(-.f64 n f)
✓accuracy3.5%
(/.f64 n (-.f64 n f))
Samples
54.0ms256×0valid
Compiler

Compiled 101 to 26 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-div: 37.0ms (83.2% of total)
ival-mult: 3.0ms (6.7% of total)
ival-sub: 2.0ms (4.5% of total)
ival-add: 2.0ms (4.5% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
10.7MiB live, 10.7MiB allocated
Counts
7 → 168
Calls
Call 1
Inputs
#<alt (/.f64 n (-.f64 n f))>
#<alt (-.f64 n f)>
#<alt (fma.f64 n (/.f64 f n) n)>
#<alt (/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))>
#<alt (/.f64 f n)>
#<alt (fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))>
#<alt (/.f64 n f)>
Outputs
#<alt (* -1 (/ n f))>
#<alt (* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))>
#<alt (* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt (* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))>
#<alt (- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))>
#<alt 1>
#<alt (+ 1 (/ f n))>
#<alt (+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))>
#<alt (+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))>
#<alt (* -1 (/ n f))>
#<alt (/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)>
#<alt (/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)>
#<alt (* -1 (/ n f))>
#<alt (* -1 (/ (+ n (/ (pow n 2) f)) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))>
#<alt (* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))>
#<alt (* -1 f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt (- n f)>
#<alt n>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt (* n (+ 1 (* -1 (/ f n))))>
#<alt n>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt (* -1 (* n (- (/ f n) 1)))>
#<alt n>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (+ n (* -1 f))>
#<alt (* -1 f)>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* f (- (/ n f) 1))>
#<alt (* -1 f)>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt (* -1 (* f (+ 1 (* -1 (/ n f)))))>
#<alt f>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt n>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt (* n (+ 1 (/ f n)))>
#<alt n>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt (* -1 (* n (- (* -1 (/ f n)) 1)))>
#<alt n>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt (+ f n)>
#<alt f>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt (* f (+ 1 (/ n f)))>
#<alt f>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt (* -1 (* f (- (* -1 (/ n f)) 1)))>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)>
#<alt (- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))>
#<alt (- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))>
#<alt 1>
#<alt (- (+ 1 (/ f n)) (* -1 (/ f n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))>
#<alt (+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))>
#<alt 1>
#<alt (+ 1 (* 2 (/ f n)))>
#<alt (+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))>
#<alt (+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))>
#<alt -1>
#<alt (- (* -1 (/ n f)) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))>
#<alt (- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))>
#<alt -1>
#<alt (- (* -1 (/ (- n (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)>
#<alt (- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt (/ f n)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -2 (/ n f))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))>
#<alt (* -2 (/ n f))>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt (/ (+ (* -2 n) (* -1 f)) f)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt -1>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (- (* -2 (/ n f)) 1)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
#<alt (/ n f)>
Calls

42 calls:

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

Compiled 334 to 220 computations (34.1% saved)

rewrite316.0ms (3.6%)

Memory
-7.5MiB live, 407.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 824×lower-fma.f32
5 820×lower-fma.f64
4 486×lower-*.f64
4 486×lower-*.f32
3 942×lower-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01136
02036
18536
262930
0948230
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 587
Calls
Call 1
Inputs
(/.f64 n (-.f64 n f))
(-.f64 n f)
(fma.f64 n (/.f64 f n) n)
(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
(/.f64 f n)
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(/.f64 n f)
Outputs
(+.f64 (*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 n n)) (*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 f (+.f64 n f))))
(+.f64 (*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 f (+.f64 n f))) (*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 n n)))
(+.f64 (*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (fma.f64 n n (*.f64 f f))) (*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 n f)))
(+.f64 (*.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) n) (*.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) f))
(+.f64 (*.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) f) (*.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) n))
(+.f64 (*.f64 (*.f64 n n) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)))))
(+.f64 (*.f64 (*.f64 f (+.f64 n f)) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)))) (*.f64 (*.f64 n n) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)))))
(+.f64 (*.f64 (fma.f64 n n (*.f64 f f)) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)))) (*.f64 (*.f64 n f) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)))))
(+.f64 (*.f64 n (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f)))) (*.f64 f (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f)))))
(+.f64 (*.f64 f (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f)))) (*.f64 n (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f)))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 f (neg.f64 n))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 n (-.f64 f n)))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 f n)) (/.f64 n (-.f64 f n)))
(fma.f64 n (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) (*.f64 f (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f)))))
(fma.f64 f (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) (*.f64 n (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f)))))
(fma.f64 (*.f64 n n) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 (*.f64 f (+.f64 n f)) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)))))
(fma.f64 (*.f64 f (+.f64 n f)) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 (*.f64 n n) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)))))
(fma.f64 (fma.f64 n n (*.f64 f f)) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 (*.f64 n f) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)))))
(fma.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 n n) (*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 f (+.f64 n f))))
(fma.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 f (+.f64 n f)) (*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 n n)))
(fma.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (fma.f64 n n (*.f64 f f)) (*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 n f)))
(fma.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) n (*.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) f))
(fma.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) f (*.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) n))
(neg.f64 (/.f64 n (-.f64 f n)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 f n))))
(neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n))))
(/.f64 n (-.f64 n f))
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 f n) n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 f n)))
(/.f64 (*.f64 n (+.f64 n f)) (*.f64 (-.f64 n f) (+.f64 n f)))
(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (/.f64 #s(literal 1 binary64) n))
(/.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(/.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) (/.f64 #s(literal 1 binary64) (+.f64 n f)))
(/.f64 (*.f64 n (fma.f64 n (+.f64 n f) (*.f64 f f))) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)))
(/.f64 (*.f64 n #s(literal -1 binary64)) (-.f64 f n))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) (-.f64 f n))
(/.f64 (*.f64 n (fma.f64 n (*.f64 (*.f64 n n) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (+.f64 n f)) (*.f64 (*.f64 f f) (*.f64 (+.f64 n f) (+.f64 n f)))))) (*.f64 (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)) (fma.f64 n (*.f64 n (*.f64 n n)) (*.f64 (*.f64 f (+.f64 n f)) (-.f64 (*.f64 f (+.f64 n f)) (*.f64 n n))))))
(/.f64 (*.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))) (*.f64 (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)) (-.f64 (*.f64 n n) (*.f64 f (+.f64 n f)))))
(/.f64 (*.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) (*.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (-.f64 n f)))
(/.f64 (*.f64 n (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (*.f64 (*.f64 (-.f64 n f) (+.f64 n f)) (fma.f64 n n (*.f64 f (-.f64 f n)))))
(/.f64 (*.f64 (neg.f64 n) #s(literal 1 binary64)) (-.f64 f n))
(/.f64 (*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (fma.f64 n (*.f64 (*.f64 n n) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (+.f64 n f)) (*.f64 (*.f64 f f) (*.f64 (+.f64 n f) (+.f64 n f)))))) (fma.f64 n (*.f64 n (*.f64 n n)) (*.f64 (*.f64 f (+.f64 n f)) (-.f64 (*.f64 f (+.f64 n f)) (*.f64 n n)))))
(/.f64 (*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))) (-.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))
(/.f64 (*.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) (*.f64 (-.f64 n f) (+.f64 n f))) (-.f64 n f))
(/.f64 (*.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (fma.f64 n n (*.f64 f (-.f64 f n))))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1 binary64))
(*.f64 n (/.f64 #s(literal -1 binary64) (-.f64 f n)))
(*.f64 (/.f64 n (-.f64 n f)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 n (-.f64 f n)))
(*.f64 (neg.f64 n) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
(*.f64 #s(literal 1 binary64) (/.f64 n (-.f64 n f)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) n)
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 n f)) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (*.f64 n (fma.f64 n (+.f64 n f) (*.f64 f f))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) n))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 n f) (-.f64 f n))) (*.f64 n (+.f64 n f)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 n f) (-.f64 f n))) (*.f64 (+.f64 n f) n))
(*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(*.f64 (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f))) (+.f64 n f))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
(*.f64 (/.f64 n (*.f64 (+.f64 n f) (-.f64 f n))) (-.f64 (neg.f64 n) f))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 f n)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)))) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (*.f64 (-.f64 n f) (+.f64 n f)))) (+.f64 n f))
(*.f64 (/.f64 (neg.f64 n) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f))) (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f))))
(*.f64 (/.f64 (neg.f64 n) (*.f64 (-.f64 n f) (+.f64 n f))) (-.f64 (neg.f64 n) f))
(*.f64 (/.f64 n (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 f n))) (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f))))
(+.f64 n (neg.f64 f))
(+.f64 (neg.f64 f) n)
(+.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (neg.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(+.f64 (/.f64 (*.f64 n n) (+.f64 n f)) (neg.f64 (/.f64 (*.f64 f f) (+.f64 n f))))
(-.f64 n f)
(-.f64 #s(literal 0 binary64) (-.f64 f n))
(-.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 n f) (*.f64 f f))) (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(-.f64 (/.f64 (*.f64 n n) (+.f64 n f)) (/.f64 (*.f64 f f) (+.f64 n f)))
(-.f64 (/.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (+.f64 n f) (*.f64 f f))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 n f) (*.f64 f f))) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (*.f64 n n) (+.f64 n f)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 f f) (+.f64 n f)) #s(literal 1 binary64)))
(-.f64 (+.f64 n #s(literal 0 binary64)) f)
(fma.f64 n #s(literal 1 binary64) (neg.f64 f))
(fma.f64 n (/.f64 f (neg.f64 n)) n)
(fma.f64 f #s(literal -1 binary64) n)
(fma.f64 (/.f64 f n) (neg.f64 n) n)
(fma.f64 #s(literal -1 binary64) f n)
(fma.f64 #s(literal -1 binary64) (neg.f64 n) (neg.f64 f))
(fma.f64 (neg.f64 n) (/.f64 f n) n)
(fma.f64 (neg.f64 f) #s(literal 1 binary64) n)
(fma.f64 (*.f64 n (*.f64 n n)) (/.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f))) (neg.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(fma.f64 (*.f64 n n) (/.f64 #s(literal 1 binary64) (+.f64 n f)) (neg.f64 (/.f64 (*.f64 f f) (+.f64 n f))))
(fma.f64 #s(literal 1 binary64) n (neg.f64 f))
(fma.f64 (*.f64 n f) (/.f64 #s(literal -1 binary64) n) n)
(fma.f64 (*.f64 n (neg.f64 f)) (/.f64 #s(literal 1 binary64) n) n)
(fma.f64 (/.f64 f (neg.f64 n)) n n)
(fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (fma.f64 n (*.f64 (*.f64 n n) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 f (+.f64 n f)) (*.f64 (*.f64 f f) (*.f64 (+.f64 n f) (+.f64 n f)))))) (fma.f64 n (*.f64 n (*.f64 n n)) (*.f64 (*.f64 f (+.f64 n f)) (-.f64 (*.f64 f (+.f64 n f)) (*.f64 n n)))) (neg.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 (*.f64 n n) (*.f64 f (+.f64 n f))))) (-.f64 (*.f64 n n) (*.f64 f (+.f64 n f))) (neg.f64 (/.f64 (*.f64 f (*.f64 f f)) (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(fma.f64 (/.f64 (*.f64 n n) (*.f64 (-.f64 n f) (+.f64 n f))) (-.f64 n f) (neg.f64 (/.f64 (*.f64 f f) (+.f64 n f))))
(fma.f64 (/.f64 (*.f64 n n) (fma.f64 n (*.f64 n n) (*.f64 f (*.f64 f f)))) (fma.f64 n n (*.f64 f (-.f64 f n))) (neg.f64 (/.f64 (*.f64 f f) (+.f64 n f))))
(neg.f64 (-.f64 f n))
(/.f64 (-.f64 n f) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 n f)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 f n)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 f n)) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)) (fma.f64 n (+.f64 n f) (*.f64 f f)))
(/.f64 (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)) (neg.f64 (neg.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)))))
(/.f64 (*.f64 (fma.f64 n (+.f64 n f) (*.f64 f f)) (-.f64 n f)) (*.f64 #s(literal 1 binary64) (fma.f64 n (+.f64 n f) (*.f64 f f))))
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (-.f64 (neg.f64 n) f))
(/.f64 (*.f64 (+.f64 n f) (-.f64 f n)) (*.f64 #s(literal 1 binary64) (-.f64 (neg.f64 n) f)))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64)) (*.f64 f f))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64)) (*.f64 f f))) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64)) (*.f64 f f))) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64)) (*.f64 f f))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)))))))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64)) (*.f64 f f))) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64)) (*.f64 f f)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64)) (*.f64 f f))) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)))))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -8 binary64)) (*.f64 f (*.f64 f f))) (/.f64 (*.f64 (*.f64 (*.f64 n (*.f64 n n)) #s(literal -8 binary64)) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -8 binary64))) (*.f64 (*.f64 f (*.f64 f f)) (*.f64 f (*.f64 f f)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)))))) (-.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal 8 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)))))) (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64) #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)))) (fma.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (*.f64 n n) (*.f64 f f))) #s(literal 16 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)))))
(/.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (*.f64 n n) (*.f64 f f))) #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)))) (fma.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal 4 binary64) #s(literal 1 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f))))))
(*.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 n f) (-.f64 (*.f64 (/.f64 n f) #s(literal 4 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
(*.f64 (fma.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal 1 binary64)) (*.f64 (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64)))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)))))))
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal 4 binary64) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 n f) #s(literal 2 binary64) #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal 4 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f))))) (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64) #s(literal -1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f))))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64)))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (*.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f)))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)))))) (fma.f64 (*.f64 (/.f64 (*.f64 n n) (*.f64 f f)) (/.f64 (*.f64 n n) (*.f64 f f))) #s(literal 16 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f)) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f))))))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 n (/.f64 #s(literal -2 binary64) f) (/.f64 (*.f64 (*.f64 n n) #s(literal 4 binary64)) (*.f64 f f)))) (+.f64 (fma.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 n #s(literal 2 binary64)) f)))) (+.f64 (fma.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal 4 binary64) #s(literal -1 binary64)) (/.f64 (*.f64 n #s(literal 2 binary64)) f)))
(*.f64 (/.f64 (fma.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 n (*.f64 n n)) (*.f64 f (*.f64 f f))) #s(literal -8 binary64) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 n n) (*.f64 f f)) #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) f))))
(exp.f64 (*.f64 (log.f64 (/.f64 f n)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 n (neg.f64 f)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 f)) (/.f64 n (neg.f64 f)))
(neg.f64 (/.f64 n (neg.f64 f)))
(neg.f64 (/.f64 (/.f64 n (neg.f64 f)) #s(literal 1 binary64)))
(/.f64 n f)
(/.f64 (/.f64 n f) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 f (neg.f64 n)))
(/.f64 (neg.f64 n) (neg.f64 f))
(/.f64 (neg.f64 n) (*.f64 #s(literal 1 binary64) (neg.f64 f)))
(/.f64 #s(literal 1 binary64) (/.f64 f n))
(/.f64 (/.f64 #s(literal 1 binary64) f) (/.f64 #s(literal 1 binary64) n))
(/.f64 (/.f64 n (neg.f64 f)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal -1 binary64) f) (/.f64 #s(literal -1 binary64) n))
(/.f64 (*.f64 n #s(literal -1 binary64)) (neg.f64 f))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) (neg.f64 f))
(/.f64 (*.f64 (neg.f64 n) #s(literal 1 binary64)) (neg.f64 f))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) n)) (neg.f64 f))
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))
(pow.f64 (/.f64 f n) #s(literal -1 binary64))
(pow.f64 (/.f64 n f) #s(literal 1 binary64))
(*.f64 n (/.f64 #s(literal 1 binary64) f))
(*.f64 (/.f64 n f) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 n (neg.f64 f)))
(*.f64 (neg.f64 n) (/.f64 #s(literal -1 binary64) f))
(*.f64 #s(literal 1 binary64) (/.f64 n f))
(*.f64 (/.f64 #s(literal 1 binary64) f) n)
(*.f64 (/.f64 #s(literal 1 binary64) f) (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) f) (neg.f64 n))
(*.f64 (/.f64 #s(literal -1 binary64) f) (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) f))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) f))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) (/.f64 #s(literal -1 binary64) f))
(*.f64 (pow.f64 (/.f64 f n) #s(literal -1/2 binary64)) (pow.f64 (/.f64 f n) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) f) #s(literal -1 binary64)) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) #s(literal 1 binary64)) n)
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) f) #s(literal -1 binary64)) (neg.f64 n))

simplify390.0ms (4.4%)

Memory
4.0MiB live, 467.5MiB allocated
Algorithm
1×egg-herbie
Rules
10 118×lower-fma.f64
10 118×lower-fma.f32
2 934×lower-*.f64
2 934×lower-*.f32
2 222×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02341083
17181016
22052936
36435932
08235867
Stop Event
1×iter limit
1×node limit
Counts
168 → 159
Calls
Call 1
Inputs
(* -1 (/ n f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
1
(+ 1 (/ f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(- (+ 1 (/ (pow f 3) (pow n 3))) (+ (* -1 (/ f n)) (* -1 (/ (pow f 2) (pow n 2)))))
1
(+ 1 (/ f n))
(+ 1 (* -1 (/ (- (* -1 (/ (pow f 2) n)) f) n)))
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow f 3) n) (* -1 (pow f 2))) n)) f) n)))
1
(+ 1 (/ f n))
(+ 1 (* f (+ (/ 1 n) (/ f (pow n 2)))))
(+ 1 (* f (+ (* f (+ (/ 1 (pow n 2)) (/ f (pow n 3)))) (/ 1 n))))
(* -1 (/ n f))
(/ (+ (* -1 n) (* -1 (/ (pow n 2) f))) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(* -1 (/ n f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(* -1 f)
(- n f)
(- n f)
(- n f)
n
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
(* n (+ 1 (* -1 (/ f n))))
n
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
(* -1 (* n (- (/ f n) 1)))
n
(+ n (* -1 f))
(+ n (* -1 f))
(+ n (* -1 f))
(* -1 f)
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* f (- (/ n f) 1))
(* -1 f)
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
(* -1 (* f (+ 1 (* -1 (/ n f)))))
f
(+ f n)
(+ f n)
(+ f n)
n
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
(* n (+ 1 (/ f n)))
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
(* -1 (* n (- (* -1 (/ f n)) 1)))
n
(+ f n)
(+ f n)
(+ f n)
f
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
(* f (+ 1 (/ n f)))
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
(* -1 (* f (- (* -1 (/ n f)) 1)))
-1
(- (* -2 (/ n f)) 1)
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(- (+ 1 (+ (/ f n) (/ (* (pow f 2) (- f (* -1 f))) (pow n 3)))) (+ (* -1 (/ f n)) (* -1 (/ (* f (- f (* -1 f))) (pow n 2)))))
1
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (+ (* f (- f (* -1 f))) (/ (* (pow f 2) (- f (* -1 f))) n)) n))) n)))
1
(+ 1 (* 2 (/ f n)))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
-1
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
-1
(- (* -1 (/ (- n (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (/ (* n (- n (* -1 n))) f)) (* -1 n)) f)) 1)
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
(/ f n)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -2 (/ n f))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -1 (* n (+ (* 2 (/ 1 f)) (/ 1 n))))
(* -2 (/ n f))
(/ (+ (* -2 n) (* -1 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
(/ (+ (* -2 n) (* -1 f)) f)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
-1
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(- (* -2 (/ n f)) 1)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
(/ n f)
Outputs
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(* n (- (* -1 (/ n (pow f 2))) (/ 1 f)))
(neg.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f))
(* n (- (* n (- (* -1 (/ n (pow f 3))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (fma.f64 n (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f))) (/.f64 #s(literal -1 binary64) f)))
(* n (- (* n (- (* n (- (* -1 (/ n (pow f 4))) (/ 1 (pow f 3)))) (/ 1 (pow f 2)))) (/ 1 f)))
(*.f64 n (fma.f64 n (fma.f64 n (/.f64 (neg.f64 n) (pow.f64 f #s(literal 4 binary64))) (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 f f)))) (/.f64 #s(literal -1 binary64) f)))
1
#s(literal 1 binary64)
(+ 1 (/ f n))
(+.f64 #s(literal 1 binary64) (/.f64 f n))
(- (+ 1 (/ (pow f 2) (pow n 2))) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (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)
(neg.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f))
(/ (- (+ (* -1 n) (* -1 (/ (pow n 3) (pow f 2)))) (/ (pow n 2) f)) f)
(neg.f64 (/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) f))
(/ (- (+ (* -1 n) (* -1 (/ (pow n 4) (pow f 3)))) (+ (/ (pow n 2) f) (/ (pow n 3) (pow f 2)))) f)
(/.f64 (-.f64 (neg.f64 n) (/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) f)) f)
(* -1 (/ n f))
(/.f64 n (neg.f64 f))
(* -1 (/ (+ n (/ (pow n 2) f)) f))
(neg.f64 (/.f64 (fma.f64 n (/.f64 n f) n) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (pow n 3) f)) (pow n 2)) f))) f))
(neg.f64 (/.f64 (fma.f64 n (/.f64 (fma.f64 n (/.f64 n f) n) f) n) f))
(* -1 (/ (+ n (* -1 (/ (- (* -1 (/ (- (/ (pow n 4) f) (* -1 (pow n 3))) f)) (pow n 2)) f))) f))
(/.f64 (-.f64 (neg.f64 n) (/.f64 (fma.f64 n n (/.f64 (fma.f64 n (*.f64 n n) (/.f64 (pow.f64 n #s(literal 4 binary64)) f)) f)) 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)
f
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
n
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
(* n (+ 1 (/ f n)))
(+.f64 n f)
n
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
(* -1 (* n (- (* -1 (/ f n)) 1)))
(+.f64 n f)
n
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
(+ f n)
(+.f64 n f)
f
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
(* f (+ 1 (/ n f)))
(+.f64 n f)
f
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
(* -1 (* f (- (* -1 (/ n f)) 1)))
(+.f64 n f)
-1
#s(literal -1 binary64)
(- (* -2 (/ n f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (* n (- (* -2 (/ n (pow f 2))) (* 2 (/ 1 f)))) 1)
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* n (- (* n (- (* -2 (/ n (pow f 3))) (* 2 (/ 1 (pow f 2))))) (* 2 (/ 1 f)))) 1)
(fma.f64 n (fma.f64 n (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) (*.f64 f f))) (/.f64 #s(literal -2 binary64) f)) #s(literal -1 binary64))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(- (+ 1 (+ (/ f n) (/ (* f (- f (* -1 f))) (pow n 2)))) (* -1 (/ f n)))
(fma.f64 #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)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
1
#s(literal 1 binary64)
(- (+ 1 (/ f n)) (* -1 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* -1 (/ (+ (* -1 (- f (* -1 f))) (* -1 (/ (* f (- f (* -1 f))) n))) n)))
(fma.f64 #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 (+.f64 f f) (/.f64 (*.f64 (+.f64 f f) (fma.f64 f (/.f64 f n) f)) n)) n))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ f n)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(+ 1 (* f (+ (* 2 (/ f (pow n 2))) (* 2 (/ 1 n)))))
(fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 f (/.f64 f n) f) n) #s(literal 1 binary64))
(+ 1 (* f (+ (* f (+ (* 2 (/ f (pow n 3))) (* 2 (/ 1 (pow n 2))))) (* 2 (/ 1 n)))))
(fma.f64 (/.f64 (+.f64 f f) (*.f64 n n)) (fma.f64 f (/.f64 f n) f) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
-1
#s(literal -1 binary64)
(- (* -1 (/ n f)) (+ 1 (/ n f)))
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(- (+ (* -1 (/ n f)) (/ (* n (- (* -1 n) n)) (pow f 2))) (+ 1 (/ n f)))
(fma.f64 (/.f64 n f) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (+ (* -1 (/ n f)) (/ (* (pow n 2) (- (* -1 n) n)) (pow f 3))) (+ 1 (+ (* -1 (/ (* n (- (* -1 n) n)) (pow f 2))) (/ n f))))
(-.f64 (fma.f64 n (*.f64 n (*.f64 (+.f64 (/.f64 n f) #s(literal 1 binary64)) (/.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) (fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -2 binary64)) #s(literal -1 binary64))
(- (* -1 (/ (- (+ n (* -1 (/ (- (* -1 (/ (* (pow n 2) (- n (* -1 n))) f)) (* n (- n (* -1 n)))) f))) (* -1 n)) f)) 1)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n (+.f64 n (/.f64 (*.f64 (+.f64 n n) (fma.f64 n (/.f64 n f) n)) f))) f))
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
(/ f n)
(/.f64 f n)
-1
#s(literal -1 binary64)
(- (* -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 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(/ (+ (* -2 n) (* -1 f)) f)
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 n n) f))
(/ (+ (* -2 n) (* -1 f)) f)
(-.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))
-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))
(/ 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)

eval315.0ms (3.6%)

Memory
-29.8MiB live, 177.9MiB allocated
Compiler

Compiled 17 936 to 1 550 computations (91.4% saved)

prune172.0ms (1.9%)

Memory
18.4MiB live, 215.1MiB allocated
Pruning

10 alts after pruning (0 fresh and 10 done)

PrunedKeptTotal
New8490849
Fresh000
Picked033
Done077
Total84910859
Accuracy
100.0%
Counts
859 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓48.7%
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
✓99.9%
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
✓89.3%
(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
✓99.9%
(/.f64 (+.f64 f n) (-.f64 n f))
✓48.3%
(/.f64 (+.f64 f n) (neg.f64 f))
✓53.7%
(/.f64 n (-.f64 n f))
✓48.3%
(-.f64 #s(literal -1 binary64) (/.f64 n f))
✓53.6%
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
✓52.7%
#s(literal 1 binary64)
✓47.5%
#s(literal -1 binary64)
Compiler

Compiled 182 to 82 computations (54.9% saved)

regimes16.0ms (0.2%)

Memory
4.1MiB live, 42.0MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (+.f64 f n) (neg.f64 f))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
(/.f64 (+.f64 f n) (-.f64 n f))
(fma.f64 n (/.f64 #s(literal -2 binary64) f) #s(literal -1 binary64))
(fma.f64 (/.f64 n f) #s(literal -2 binary64) #s(literal -1 binary64))
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
(/.f64 (fma.f64 n (/.f64 f n) n) (-.f64 n f))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (/.f64 n (-.f64 n f)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) f (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 n f)) n))
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
Calls

3 calls:

6.0ms
n
5.0ms
f
4.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
99.9%1f
99.9%1n
99.9%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes10.0ms (0.1%)

Memory
-10.6MiB live, 29.1MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (+.f64 f n) (neg.f64 f))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n))
Calls

3 calls:

4.0ms
f
3.0ms
n
2.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
80.1%3f
77.4%3n
98.8%2(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes3.0ms (0%)

Memory
6.2MiB live, 6.2MiB allocated
Counts
7 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 n (-.f64 n f))
(/.f64 (neg.f64 f) (-.f64 f n))
(/.f64 (neg.f64 n) (-.f64 f n))
(/.f64 (+.f64 f n) (neg.f64 f))
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 n f))
(/.f64 n (-.f64 n f))
Calls

1 calls:

2.0ms
(/.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)

regimes2.0ms (0%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal -1 binary64) (/.f64 n f))
Outputs
(-.f64 #s(literal -1 binary64) (/.f64 n f))
#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)

regimes1.0ms (0%)

Memory
3.7MiB live, 3.7MiB 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%)

Memory
11.5MiB live, 11.6MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

3 calls:

1.0ms
f
1.0ms
n
1.0ms
(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Results
AccuracySegmentsBranch
47.5%1n
47.5%1f
47.5%1(/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n))
Compiler

Compiled 16 to 10 computations (37.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.8880988232255596
0.9999999999999963
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.8880988232255596
0.9999999999999963
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.8880988232255596
0.9999999999999963
Compiler

Compiled 13 to 11 computations (15.4% saved)

bsearch15.0ms (0.2%)

Memory
-14.4MiB live, 28.8MiB allocated
Algorithm
1×binary-search
Stop Event
1×narrow-enough
Steps
TimeLeftRight
14.0ms
-0.8880988232255596
0.9999999999999963
Samples
6.0ms240×0valid
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)

simplify15.0ms (0.2%)

Memory
-20.2MiB live, 18.0MiB allocated
Algorithm
1×egg-herbie
Rules
82×unsub-neg_binary64
78×distribute-lft-neg-in_binary64
60×neg-mul-1_binary64
42×neg-sub0_binary64
36×sub-neg_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02482
14082
25982
37478
49178
512578
616678
722278
827978
930778
1032178
1132278
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n (-.f64 n f)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)
Outputs
(/.f64 (+.f64 f n) (-.f64 n f))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 f f) n)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n (-.f64 n f)))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) (/.f64 n (-.f64 n f)))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -1/2 binary64)) (-.f64 #s(literal -1 binary64) (/.f64 n f)) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (neg.f64 (+.f64 f n)) (-.f64 f n)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
(if (<=.f64 (/.f64 (+.f64 f n) (-.f64 n f)) #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal -1 binary64) #s(literal 1 binary64))
#s(literal -1 binary64)

soundness859.0ms (9.7%)

Memory
22.5MiB live, 574.7MiB allocated
Rules
14 778×lower-fma.f64
14 778×lower-fma.f32
9 380×lower-fma.f64
9 380×lower-fma.f32
4 994×lower-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01655
02954
112751
2105651
0861251
0618
01018
14618
232717
0553017
04442383
114132220
240802077
081681932
0145539
1448504
21334469
35180459
08647432
Stop Event
1×done
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 170 to 83 computations (51.2% saved)

preprocess37.0ms (0.4%)

Memory
-15.4MiB live, 103.4MiB allocated
Compiler

Compiled 180 to 54 computations (70% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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